math topic to write an essay about

260 Interesting Math Topics for Essays & Research Papers

Mathematics is the science of numbers and shapes. Writing about it can give you a fresh perspective and help to clarify difficult concepts. You can even use mathematical writing as a tool in problem-solving.

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In this article, you will find plenty of interesting math topics. Besides, you will learn about branches of mathematics that you can choose from. And if the thought of letters and numbers makes your head swim, try our custom writing service . Our professionals will craft a paper for you in no time!

And now, let’s proceed to math essay topics and tips.

🔝 Top 10 Interesting Math Topics

✅ branches of mathematics, ✨ fun math topics.

• 🏫 Math Topics for High School
• 🎓 College Math Topics
• 🤔 Advanced Math
• 📚 Math Research
• ✏️ Math Education
• 💵 Business Math

🔍 References

• Number theory in everyday life.
• Logicist definitions of mathematics.
• Multivariable vs. vector calculus.
• 4 conditions of functional analysis.
• Random variable in probability theory.
• How is math used in cryptography?
• The purpose of homological algebra.
• Concave vs. convex in geometry.
• The philosophical problem of foundations.
• Is numerical analysis useful for machine learning?

What exactly is mathematics ? First and foremost, it is very old. Ancient Greeks and Persians were already utilizing mathematical tools. Nowadays, we consider it an interdisciplinary language.

Biologists, linguists, and sociologists alike use math in their work. And not only that, we all deal with it in our daily lives. For instance, it manifests in the measurement of time. We often need it to calculate how much our groceries cost and how much paint we need to buy to cover a wall.

Simply put, mathematics is a universal instrument for problem-solving. We can divide pure math into three branches: geometry, arithmetic, and algebra. Let’s take a closer look:

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• Geometry By studying geometry, we try to comprehend our physical surroundings. Geometric shapes can be simple, like a triangle. Or, they can form complicated figures, like a rhombicosidodecahedron.
• Arithmetic Arithmetic deals with numbers and simple operations: subtraction, addition, division, and multiplication.
• Algebra Algebra is used when the exact numbers are unclear. Instead, they are replaced with letters. Businesses often need algebra to predict their sales.

It’s true that most high school students don’t like math. However, that doesn’t mean it can’t be a fun and compelling subject. In the following section, you will find plenty of enthralling mathematical topics for your paper.

If you’re struggling to start working on your essay, we have some fun and cool math topics to offer. They will definitely engage you and make the writing process enjoyable. Besides, fun math topics can show everyone that even math can be entertaining or even a bit silly.

• The link between mathematics and art – analyzing the Golden Ratio in Renaissance-era paintings.
• An evaluation of Georg Cantor’s set theory.
• The best approaches to learning math facts and developing number sense.
• Different approaches to probability as explored through analyzing card tricks.
• Chess and checkers – the use of mathematics in recreational activities.
• The five types of math used in computer science .
• Real-life applications of the Pythagorean Theorem .
• A study of the different theories of mathematical logic .
• The use of game theory in social science.
• Mathematical definitions of infinity and how to measure it.
• What is the logic behind unsolvable math problems?
• An explanation of mean, mode, and median using classroom math grades.
• The properties and geometry of a Möbius strip.
• Using truth tables to present the logical validity of a propositional expression.
• The relationship between Pascal’s Triangle and The Binomial Theorem.
• The use of different number types: the history.
• The application of differential geometry in modern architecture.
• A mathematical approach to the solution of a Rubik’s Cube.
• Comparison of predictive and prescriptive statistical analyses.
• Explaining the iterations of the Koch snowflake.
• The importance of limits in calculus.
• Hexagons as the most balanced shape in the universe.
• The emergence of patterns in chaos theory.
• What were Euclid’s contributions to the field of mathematics?
• The difference between universal algebra and abstract algebra.

🏫 Math Essay Topics for High School

When writing a math paper, you want to demonstrate that you understand a concept. It can be helpful if you need to prepare for an exam. Choose a topic from this section and decide what you want to discuss.

• Explain what we need Pythagoras’ theorem for. 
• What is a hyperbola? 
• Describe the difference between algebra and arithmetic. 
• When is it unnecessary to use a calculator ? 
• Find a connection between math and the arts. 
• How do you solve a linear equation? 
• Discuss how to determine the probability of rolling two dice. 
• Is there a link between philosophy and math? 
• What types of math do you use in your everyday life? 
• What is the numerical data? 
• Explain how to use the binomial theorem. 
• What is the distributive property of multiplication? 
• Discuss the major concepts in ancient Egyptian mathematics . 
• Why do so many students dislike math? 
• Should math be required in school? 
• How do you do an equivalent transformation? 
• Why do we need imaginary numbers? 
• How can you calculate the slope of a curve? 
• What is the difference between sine, cosine, and tangent? 
• How do you define the cross product of two vectors? 
• What do we use differential equations for? 
• Investigate how to calculate the mean value. 
• Define linear growth. 
• Give examples of different number types. 
• How can you solve a matrix? 

🎓 College Math Topics for a Paper

Sometimes you need more than just formulas to explain a complex idea. That’s why knowing how to express yourself is crucial. It is especially true for college-level mathematics. Consider the following ideas for your next research project:

• What do we need n-dimensional spaces for?
• Explain how card counting works.
• Discuss the difference between a discrete and a continuous probability distribution .
• How does encryption work?
• Describe extremal problems in discrete geometry.
• What can make a math problem unsolvable?
• Examine the topology of a Möbius strip.

• What is K-theory?  
• Discuss the core problems of computational geometry. 
• Explain the use of set theory . 
• What do we need Boolean functions for? 
• Describe the main topological concepts in modern mathematics. 
• Investigate the properties of a rotation matrix. 
• Analyze the practical applications of game theory.  
• How can you solve a Rubik’s cube mathematically? 
• Explain the math behind the Koch snowflake. 
• Describe the paradox of Gabriel’s Horn. 
• How do fractals form? 
• Find a way to solve Sudoku using math. 
• Why is the Riemann hypothesis still unsolved? 
• Discuss the Millennium Prize Problems. 
• How can you divide complex numbers? 
• Analyze the degrees in polynomial functions. 
• What are the most important concepts in number theory? 
• Compare the different types of statistical methods . 

🤔 Advanced Topics in Math to Write a Paper on

Once you have passed the trials of basic math, you can move on to the advanced section. This area includes topology, combinatorics, logic, and computational mathematics. Check out the list below for enticing topics to write about:

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• What is an abelian group?
• Explain the orbit-stabilizer theorem.
• Discuss what makes the Burnside problem influential.
• What fundamental properties do holomorphic functions have?
• How does Cauchy’s integral theorem lead to Cauchy’s integral formula?
• How do the two Picard theorems relate to each other?
• When is a trigonometric series called a Fourier series?
• Give an example of an algorithm used for machine learning .
• Compare the different types of knapsack problems.
• What is the minimum overlap problem?
• Describe the Bernoulli scheme.
• Give a formal definition of the Chinese restaurant process.
• Discuss the logistic map in relation to chaos .
• What do we need the Feigenbaum constants for?
• Define a difference equation.
• Explain the uses of the Fibonacci sequence.
• What is an oblivious transfer?
• Compare the Riemann and the Ruelle zeta functions.
• How can you use elementary embeddings in model theory?
• Analyze the problem with the wholeness axiom and Kunen’s inconsistency theorem.
• How is Lie algebra used in physics ?
• Define various cases of algebraic cycles.
• Why do we need étale cohomology groups to calculate algebraic curves?
• What does non-Euclidean geometry consist of?
• How can two lines be ultraparallel?

📚 Math Research Topics for a Paper

Choosing the right topic is crucial for a successful research paper in math. It should be hard enough to be compelling, but not exceeding your level of competence. If possible, stick to your area of knowledge. This way your task will become more manageable. Here are some ideas:

• Write about the history of calculus.
• Why are unsolved math problems significant?
• Find reasons for the gender gap in math students.
• What are the toughest mathematical questions asked today?
• Examine the notion of operator spaces.
• How can we design a train schedule for a whole country?
• What makes a number big?

• How can infinities have various sizes?
• What is the best mathematical strategy to win a game of Go?
• Analyze natural occurrences of random walks in biology.
• Explain what kind of mathematics was used in ancient Persia.
• Discuss how the Iwasawa theory relates to modular forms.
• What role do prime numbers play in encryption ?
• How did the study of mathematics evolve?
• Investigate the different Tower of Hanoi solutions.
• Research Napier’s bones. How can you use them?
• What is the best mathematical way to find someone who is lost in a maze?
• Examine the Traveling Salesman Problem. Can you find a new strategy?
• Describe how barcodes function.
• Study some real-life examples of chaos theory. How do you define them mathematically?
• Compare the impact of various ground-breaking mathematical equations .
• Research the Seven Bridges of Königsberg. Relate the problem to the city of your choice.
• Discuss Fisher’s fundamental theorem of natural selection.
• How does quantum computing work?
• Pick an unsolved math problem and say what makes it so difficult.

✏️ Math Education Research Topics

For many teachers, the hardest part is to keep the students interested. When it comes to math, it can be especially challenging. It’s crucial to make complicated concepts easy to understand. That’s why we need research on math education.

• Compare traditional methods of teaching math with unconventional ones.
• How can you improve mathematical education in the U.S.?
• Describe ways of encouraging girls to pursue careers in STEM fields.
• Should computer programming be taught in high school?
• Define the goals of mathematics education .
• Research how to make math more accessible to students with learning disabilities .
• At what age should children begin to practice simple equations?
• Investigate the effectiveness of gamification in algebra classes.
• What do students gain from taking part in mathematics competitions?
• What are the benefits of moving away from standardized testing ?
• Describe the causes of “ math anxiety .” How can you overcome it?
• Explain the social and political relevance of mathematics education.
• Define the most significant issues in public school math teaching.
• What is the best way to get children interested in geometry?
• How can students hone their mathematical thinking outside the classroom?
• Discuss the benefits of using technology in math class.
• In what way does culture influence your mathematical education?
• Explore the history of teaching algebra .
• Compare math education in various countries.

• How does dyscalculia affect a student’s daily life?
• Into which school subjects can math be integrated?
• Has a mathematics degree increased in value over the last few years?
• What are the disadvantages of the Common Core Standards ?
• What are the advantages of following an integrated curriculum in math?
• Discuss the benefits of Mathcamp.

🧮 Algebra Topics for a Paper

The elegance of algebra stems from its simplicity. It gives us the ability to express complex problems in short equations. The world was changed forever when Einstein wrote down the simple formula E=mc². Now, if your algebra seminar requires you to write a paper, look no further! Here are some brilliant prompts:

• Give an example of an induction proof.
• What are F-algebras used for?
• What are number problems?
• Show the importance of abstract algebraic thinking .
• Investigate the peculiarities of Fermat’s last theorem.
• What are the essentials of Boolean algebra?
• Explore the relationship between algebra and geometry.
• Compare the differences between commutative and noncommutative algebra.
• Why is Brun’s constant relevant?
• How do you factor quadratics?
• Explain Descartes’ Rule of Signs.
• What is the quadratic formula?
• Compare the four types of sequences and define them.
• Explain how partial fractions work.
• What are logarithms used for?
• Describe the Gaussian elimination.
• What does Cramer’s rule state?
• Explore the difference between eigenvectors and eigenvalues.
• Analyze the Gram-Schmidt process in two dimensions.
• Explain what is meant by “range” and “domain” in algebra.
• What can you do with determinants?
• Learn about the origin of the distance formula.
• Find the best way to solve math word problems.
• Compare the relationships between different systems of equations.
• Explore how the Rubik’s cube relates to group theory .

📏 Geometry Topics for a Research Paper

Shapes and space are the two staples of geometry. Since its appearance in ancient times, it has evolved into a major field of study. Geometry’s most recent addition, topology, explores what happens to an object if you stretch, shrink, and fold it. Things can get pretty crazy from here! The following list contains 25 interesting geometry topics:

• What are the Archimedean solids? 
• Find real-life uses for a rhombicosidodecahedron. 
• What is studied in projective geometry? 
• Compare the most common types of transformations. 
• Explain how acute square triangulation works. 
• Discuss the Borromean ring configuration. 
• Investigate the solutions to Buffon’s needle problem. 
• What is unique about right triangles? 

• Describe the notion of Dirac manifolds.
• Compare the various relationships between lines.
• What is the Klein bottle?
• How does geometry translate into other disciplines, such as chemistry and physics?
• Explore Riemannian manifolds in Euclidean space.
• How can you prove the angle bisector theorem?
• Do a research on M.C. Escher’s use of geometry.
• Find applications for the golden ratio .
• Describe the importance of circles.
• Investigate what the ancient Greeks knew about geometry.
• What does congruency mean?
• Study the uses of Euler’s formula.
• How do CT scans relate to geometry?
• Why do we need n-dimensional vectors?
• How can you solve Heesch’s problem?
• What are hypercubes?
• Analyze the use of geometry in Picasso’s paintings.

➗ Calculus Topics to Write a Paper on

You can describe calculus as a more complicated algebra. It’s a study of change over time that provides useful insights into everyday problems. Applied calculus is required in a variety of fields such as sociology, engineering, or business. Consult this list of compelling topics on a calculus paper:

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• What are the differences between trigonometry, algebra, and calculus?
• Explain the concept of limits.
• Describe the standard formulas needed for derivatives.
• How can you find critical points in a graph?
• Evaluate the application of L’Hôpital’s rule.
• How do you define the area between curves?
• What is the foundation of calculus?

• How does multivariate calculus work?
• Discuss the use of Stokes’ theorem.
• What does Leibniz’s integral rule state?
• What is the Itô stochastic integral?
• Explore the influence of nonstandard analysis on probability theory.
• Research the origins of calculus.
• Who was Maria Gaetana Agnesi?
• Define a continuous function.
• What is the fundamental theorem of calculus?
• How do you calculate the Taylor series of a function?
• Discuss the ways to resolve Runge’s phenomenon.
• Explain the extreme value theorem.
• What do we need predicate calculus for?
• What are linear approximations?
• When does an integral become improper?
• Describe the Ratio and Root Tests.
• How does the method of rings work?
• Where do we apply calculus in real-life situations?

💵 Business Math Topics to Write About

You don’t have to own a company to appreciate business math. Its topics range from credits and loans to insurance, taxes, and investment. Even if you’re not a mathematician, you can use it to handle your finances. Sounds interesting? Then have a look at the following list:

• What are the essential skills needed for business math?
• How do you calculate interest rates?
• Compare business and consumer math.
• What is a discount factor?
• How do you know that an investment is reasonable?
• When does it make sense to pay a loan with another loan?
• Find useful financing techniques that everyone can use.
• How does critical path analysis work?
• Explain how loans work.
• Which areas of work utilize operations research?
• How do businesses use statistics?
• What is the economic lot scheduling problem?
• Compare the uses of different chart types.
• What causes a stock market crash?
• How can you calculate the net present value?
• Explore the history of revenue management .
• When do you use multi-period models?
• Explain the consequences of depreciation.
• Are annuities a good investment?
• Would the U.S. financially benefit from discontinuing the penny?
• What caused the United States housing crash in 2008?
• How do you calculate sales tax?
• Describe the notions of markups and markdowns.
• Investigate the math behind debt amortization.
• What is the difference between a loan and a mortgage?

With all these ideas, you are perfectly equipped for your next math paper. Good luck!

• What Is Calculus?: Southern State Community College
• What Is Mathematics?: Tennessee Tech University
• What Is Geometry?: University of Waterloo
• What Is Algebra?: BBC
• Ten Simple Rules for Mathematical Writing: Ohio State University
• Practical Algebra Lessons: Purplemath
• Topics in Geometry: Massachusetts Institute of Technology
• The Geometry Junkyard: All Topics: Donald Bren School of Information and Computer Sciences
• Calculus I: Lamar University
• Business Math for Financial Management: The Balance Small Business
• What Is Mathematics: Life Science
• What Is Mathematics Education?: University of California, Berkeley
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Essays About Math: Top 10 Examples and Writing Prompts 

Love it or hate it, an understanding of math is said to be crucial to success. So, if you are writing essays about math, read our top essay examples.  

Mathematics is the study of numbers, shapes, and space using reason and usually a special system of symbols and rules for organizing them . It can be used for a variety of purposes, from calculating a business’s profit to estimating the mass of a black hole. However, it can be considered “controversial” to an extent.

Most students adore math or regard it as their least favorite. No other core subject has the same infamy as math for generating passionate reactions both for and against it. It has applications in every field, whether basic operations or complex calculus problems. Knowing the basics of math is necessary to do any work properly. 

If you are writing essays about Math, we have compiled some essay examples for you to get started. 

1. Mathematics: Problem Solving and Ideal Math Classroom by Darlene Gregory 

2. math essay by prasanna, 3. short essay on the importance of mathematics by jay prakash.

• 4.  Math Anxiety by Elias Wong

5. Why Math Isn’t as Useless as We Think by Murtaza Ali

1. mathematics – do you love or hate it, 2. why do many people despise math, 3. how does math prepare you for the future, 4. is mathematics an essential skill, 5. mathematics in the modern world.

“The trait of the teacher that is being strict is we know that will really help the students to change. But it will give a stress and pressure to students and that is one of the causes why students begin to dislike math. As a student I want a teacher that is not so much strict and giving considerations to his students. A teacher that is not giving loads of things to do and must know how to understand the reasons of his students.”

Gregory discusses the reasons for most students’ hatred of math and how teachers handle the subject in class. She says that math teachers do not explain the topics well, give too much work, and demand nothing less than perfection. To her, the ideal math class would involve teachers being more considerate and giving less work. 

You might also be interested in our ordinal number explainer.

“Math is complicated to learn, and one needs to focus and concentrate more. Math is logical sometimes, and the logic needs to be derived out. Maths make our life easier and more straightforward. Math is considered to be challenging because it consists of many formulas that have to be learned, and many symbols and each symbol generally has its significance.”

In her essay, Prasanna gives readers a basic idea of what math is and its importance. She additionally lists down some of the many uses of mathematics in different career paths, namely managing finances, cooking, home modeling and construction, and traveling. Math may seem “useless” and “annoying” to many, but the essay gives readers a clear message: we need math to succeed. 

“In this modern age of Science and Technology, emphasis is given on Science such as Physics, Chemistry, Biology, Medicine and Engineering. Mathematics, which is a Science by any criterion, also is an efficient and necessary tool being employed by all these Sciences. As a matter of fact, all these Sciences progress only with the aid of Mathematics. So it is aptly remarked, ‘Mathematics is a Science of all Sciences and art of all arts.’”

As its title suggests, Prakash’s essay briefly explains why math is vital to human nature. As the world continues to advance and modernize, society emphasizes sciences such as medicine, chemistry, and physics. All sciences employ math; it cannot be studied without math. It also helps us better our reasoning skills and maximizes the human mind. It is not only necessary but beneficial to our everyday lives. 

4.   Math Anxiety by Elias Wong

“Math anxiety affects different not only students but also people in different ways. It’s important to be familiar with the thoughts you have about yourself and the situation when you encounter math. If you are aware of unrealistic or irrational thoughts you can work to replace those thoughts with more positive and realistic ones.”

Wong writes about the phenomenon known as “math anxiety.” This term is used to describe many people’s hatred or fear of math- they feel that they are incapable of doing it. This anxiety is caused mainly by students’ negative experiences in math class, which makes them believe they cannot do well. Wong explains that some people have brains geared towards math and others do not, but this should not stop people from trying to overcome their math anxiety. Through review and practice of basic mathematical skills, students can overcome them and even excel at math. 

“We see that math is not an obscure subject reserved for some pretentious intellectual nobility. Though we may not be aware of it, mathematics is embedded into many different aspects of our lives and our world — and by understanding it deeply, we may just gain a greater understanding of ourselves.”

Similar to some of the previous essays, Ali’s essay explains the importance of math. Interestingly, he tells a story of the life of a person name Kyle. He goes through the typical stages of life and enjoys typical human hobbies, including Rubik’s cube solving. Throughout this “Kyle’s” entire life, he performed the role of a mathematician in various ways. Ali explains that math is much more prevalent in our lives than we think, and by understanding it, we can better understand ourselves. 

Writing Prompts on Essays about Math

Math is a controversial subject that many people either passionately adore or despise. In this essay, reflect on your feelings towards math, and state your position on the topic. Then, give insights and reasons as to why you feel this way. Perhaps this subject comes easily to you, or perhaps it’s a subject that you find pretty challenging. For an insightful and compelling essay, you can include personal anecdotes to relate to your argument. 

It is well-known that many people despise math. In this essay, discuss why so many people do not enjoy maths and struggle with this subject in school. For a compelling essay, gather interview data and statistics to support your arguments. You could include different sections correlating to why people do not enjoy this subject.

In this essay, begin by reading articles and essays about the importance of studying math. Then, write about the different ways that having proficient math skills can help you later in life. Next, use real-life examples of where maths is necessary, such as banking, shopping, planning holidays, and more! For an engaging essay, use some anecdotes from your experiences of using math in your daily life.

Many people have said that math is essential for the future and that you shouldn’t take a math class for granted. However, many also say that only a basic understanding of math is essential; the rest depends on one’s career. Is it essential to learn calculus and trigonometry? Choose your position and back up your claim with evidence. 

Prasanna’s essay lists down just a few applications math has in our daily lives. For this essay, you can choose any activity, whether running, painting, or playing video games, and explain how math is used there. Then, write about mathematical concepts related to your chosen activity and explain how they are used. Finally, be sure to link it back to the importance of math, as this is essentially the topic around which your essay is based. 

If you are interested in learning more, check out our essay writing tips !

For help with your essays, check out our round-up of the best essay checkers

Martin is an avid writer specializing in editing and proofreading. He also enjoys literary analysis and writing about food and travel.

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25 Interesting Math Topics: How to Write a Good Math Essay

writing good math essay

Mathematics is a fascinating world of numbers, shapes, and patterns. 

Whether you are a student looking to grasp math concepts or someone who finds math intriguing, these topics will spark your curiosity and help you discover the beauty of mathematics straightforwardly and engagingly.

In this article, I will explore interesting math topics that make this subject not only understandable but also enjoyable.

Why Write About Mathematics

First, it helps demystify a subject that many find intimidating. By breaking down complex mathematical concepts into simple, understandable language, we can make math accessible to a wider audience, fostering greater understanding and appreciation.

Second, writing about mathematics allows us to showcase the practical applications of math in everyday life, from managing personal finances to solving real-world problems.

This helps readers recognize the relevance of math and its role in various fields and industries.

Additionally, writing about mathematics can inspire curiosity and a love for learning.

It encourages critical thinking and problem-solving skills, promoting intellectual growth and academic success.

Finally, mathematics is a universal language that transcends cultural and linguistic barriers.

After discussing math topics, we can connect with a global audience, fostering a sense of unity and collaboration in the pursuit of knowledge

 25 Interesting Math Topics to Write On

 Mathematics is a vast and intriguing field, offering a multitude of interesting topics to explore and write about.

Here are 25 such topics that promise to engage both math enthusiasts and those seeking a deeper understanding of this fascinating subject.

1. Fibonacci Sequence: Delve into the mesmerizing world of numbers with this sequence, where each number is the sum of the two preceding ones.

2. Golden Ratio: Explore the ubiquity of the golden ratio in art, architecture, and nature.

3. Prime Numbers: Investigate the mysterious properties of prime numbers and their role in cryptography.

4. Chaos Theory: Understand the unpredictability of chaotic systems and how small changes can lead to drastically different outcomes.

5. Game Theory: Examine the strategies and decision-making processes behind games and real-world situations.

6. Cryptography: Uncover the mathematical principles behind secure communication and encryption.

7. Fractals: Discover the self-replicating geometric patterns that occur in nature and mathematics.

8. Probability Theory: Dive into the world of uncertainty and randomness, where math helps us make informed predictions.

9. Number Theory: Explore the properties and relationships of integers, including divisibility and congruence.

10. Geometry of Art: Analyze how geometry and math principles influence art and design.

11. Topology: Study the properties of space that remain unchanged under continuous transformations, leading to the concept of “rubber-sheet geometry.”

12. Knot Theory: Investigate the mathematical study of knots and their applications in various fields.

13. Number Systems: Learn about different number bases, such as binary and hexadecimal, and their significance in computer science.

14. Graph Theory: Explore networks, relationships, and the mathematics of connections.

15. The Monty Hall Problem: Delight in this famous probability puzzle based on a game show scenario.

16. Calculus: Examine the principles of differentiation and integration that underlie a wide range of scientific and engineering applications.

17. The Riemann Hypothesis: Consider one of the most famous unsolved problems in mathematics involving the distribution of prime numbers.

18. Euler’s Identity: Marvel at the beauty of Euler’s equation, often described as the most elegant mathematical formula.

19. The Four-Color Theorem: Uncover the fascinating problem of coloring maps with only four colors without adjacent regions sharing the same color.

20. P vs. NP Problem: Delve into one of the most critical unsolved problems in computer science, addressing the efficiency of algorithms.

21. The Bridges of Konigsberg: Explore a classic problem in graph theory that inspired the development of topology.

22. The Birthday Paradox: Understand the surprising likelihood of shared birthdays in a group.

23. Non-Euclidean Geometry: Step into the world of geometries where Euclid’s parallel postulate doesn’t hold, leading to intriguing alternatives like hyperbolic and elliptic geometry.

24. Perfect Numbers: Learn about the properties of numbers that are the sum of their proper divisors.

25. Zero: The History of Nothing: Trace the historical and mathematical significance of the number zero and its role in the development of mathematics.

How to Write a Good Math Essay

Mathematics essays , though often perceived as daunting, can be a rewarding way to delve into the world of mathematical concepts, problem-solving, and critical thinking.

Whether you are a student assigned to write a math essay or someone who wants to explore math topics in-depth, this guide will provide you with the key steps to write a good math essay that is clear, concise, and engaging.

1. Understanding the Essay Prompt

Before you begin writing, it’s crucial to understand the essay prompt or question.

Analyze the specific topic, the scope of the essay, and any guidelines or requirements provided by your instructor.

Mostly, this initial step sets the direction for your essay and ensures you stay on topic.

2. Research and Gather Information

You need to gather relevant information and resources to write a strong math essay. This includes textbooks, academic papers, and reputable websites.

Make sure to cite your sources properly using a recognized citation style such as APA, MLA, or Chicago.

3. Structuring Your Math Essay

Start with a clear introduction that provides an overview of the topic and the main thesis or argument of your essay. This section should capture the reader’s attention and present a roadmap for what to expect.

The body of your essay is where you present your arguments, explanations, and evidence. Use clear subheadings to organize your ideas. Ensure that your arguments are logical and well-structured.

Begin by defining any important mathematical concepts or terms necessary to understand your topic.

Clearly state your main arguments or theorems. Please support them with evidence, equations, diagrams, or examples.

Explain the logical steps or mathematical reasoning behind your arguments. This can include proofs, derivations, or calculations.

Ensure your writing is clear and free from jargon that might confuse the reader. Explain complex ideas in a way that’s accessible to a broader audience.

Whenever applicable, include diagrams, graphs, or visual aids to illustrate your points. Visual representations can enhance the clarity of your essay.

Summarize your main arguments, restate your thesis, and offer a concise conclusion. Address the significance of your findings and the implications of your research or discussion.

4. Proofreading and Editing

Once you’ve written your math essay, take the time to proofread and edit it. Pay attention to grammar, spelling, punctuation, and the overall flow of your writing.

Ensure that your essay is well-organized and free from errors.

Consider seeking feedback from peers or an instructor to gain a fresh perspective.

5. Presentation and Formatting

A well-presented essay is more likely to engage the reader. Follow these formatting guidelines:

• Use a legible font (e.g., Times New Roman or Arial) in a standard size (12-point).
• Double-space your essay and include page numbers if required.
• Create a title page with your name, essay title, course information, and date.
• Use section headings and subheadings for clarity.
• Include a reference page to cite your sources appropriately.

6. Mathematical Notation and Symbols

Mathematics relies heavily on notation and symbols. Ensure that you use mathematical notation correctly and consistently.

If you introduce new symbols or terminology, define them clearly for the reader’s understanding.

7. Seek Clarification

If you encounter difficulties or ambiguities in your math essay, don’t hesitate to seek clarification from your instructor or peers.

Discussing complex mathematical concepts with others can help you refine your understanding and improve your essay.

8. Practice and Feedback

Writing math essays, like any skill, improves with practice. The more you write and receive feedback, the better you’ll become.

Take your time with initial challenges. Instead, view them as opportunities for growth and learning.

With dedication and attention to detail, you can craft a math essay that not only conveys your mathematical knowledge but also engages and informs your readers.

Josh Jasen or JJ as we fondly call him, is a senior academic editor at Grade Bees in charge of the writing department. When not managing complex essays and academic writing tasks, Josh is busy advising students on how to pass assignments. In his spare time, he loves playing football or walking with his dog around the park.

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181 Mathematics Research Topics From PhD Experts

If you are reading this blog post, it means you are looking for some exceptional math research topics. You want them to be original, unique even. If you manage to find topics like this, you can be sure your professor will give you a top grade (if you write a decent paper, that is). The good news is that you have arrived at just the right place – at the right time. We have just finished updating our list of topics, so you will find plenty of original ideas right on this page. All our topics are 100 percent free to use as you see fit. You can reword them and you don’t need to give us any credit.

And remember: if you need assistance from a professional, don’t hesitate to reach out to us. We are not just the best place for math research topics for high school students; we are also the number one choice for students looking for top-notch research paper writing services.

Our Newest Research Topics in Math

We know you probably want the best and most recent research topics in math. You want your paper to stand out from all the rest. After all, this is the best way to get some bonus points from your professor. On top of this, finding some great topics for your next paper makes it easier for you to write the essay. As long as you know at least something about the topic, you’ll find that writing a great paper or buy phd thesis isn’t as difficult as you previously thought.

So, without further ado, here are the 181 brand new topics for your next math research paper:

Cool Math Topics to Research

Are you looking for some cool math topics to research? We have a list of original topics for your right here. Pick the one you like and start writing now:

• Roll two dice and calculate a probability
• Discuss ancient Greek mathematics
• Is math really important in school?
• Discuss the binomial theorem
• The math behind encryption
• Game theory and its real-life applications
• Analyze the Bernoulli scheme
• What are holomorphic functions and how do they work?
• Describe big numbers
• Solving the Tower of Hanoi problem

Undergraduate Math Research Topics

If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics:

• Methods to count discrete objects
• The origins of Greek symbols in mathematics
• Methods to solve simultaneous equations
• Real-world applications of the theorem of Pythagoras
• Discuss the limits of diffusion
• Use math to analyze the abortion data in the UK over the last 100 years
• Discuss the Knot theory
• Analyze predictive models (take meteorology as an example)
• In-depth analysis of the Monte Carlo methods for inverse problems
• Squares vs. rectangles (compare and contrast)

Number Theory Topics to Research

Interested in writing about number theory? It is not an easy subject to discuss, we know. However, we are sure you will appreciate these number theory topics:

• Discuss the greatest common divisor
• Explain the extended Euclidean algorithm
• What are RSA numbers?
• Discuss Bézout’s lemma
• In-depth analysis of the square-free polynomial
• Discuss the Stern-Brocot tree
• Analyze Fermat’s little theorem
• What is a discrete logarithm?
• Gauss’s lemma in number theory
• Analyze the Pentagonal number theorem

Math Research Topics for High School

High school students shouldn’t be too worried about their math papers because we have some unique, and quite interesting, math research topics for high school right here:

• Discuss Brun’s constant
• An in-depth look at the Brahmagupta–Fibonacci identity
• What is derivative algebra?
• Describe the Symmetric Boolean function
• Discuss orders of approximation in limits
• Solving Regiomontanus’ angle maximization problem
• What is a Quadratic integral?
• Define and describe complementary angles
• Analyze the incircle and excircles of a triangle
• Analyze the Bolyai–Gerwien theorem in geometry
• Math in our everyday life

Complex Math Topics

If you want to give some complex math topics a try, we have the best examples below. Remember, these topics should only be attempted by students who are proficient in mathematics:

• Mathematics and its appliance in Artificial Intelligence
• Try to solve an unsolved problem in math
• Discuss Kolmogorov’s zero-one law
• What is a discrete random variable?
• Analyze the Hewitt–Savage zero-one law
• What is a transferable belief model?
• Discuss 3 major mathematical theorems
• Describe and analyze the Dempster-Shafer theory
• An in-depth analysis of a continuous stochastic process
• Identify and analyze Gauss-Markov processes

Easy Math Research Paper Topics

Perhaps you don’t want to spend too much time working on your next research paper. Who can blame you? Check out these easy math research paper topics:

• Define the hyperbola
• Do we need to use a calculator during math class?
• The binomial theorem and its real-world applications
• What is a parabola in geometry?
• How do you calculate the slope of a curve?
• Define the Jacobian matrix
• Solving matrix problems effectively
• Why do we need differential equations?
• Should math be mandatory in all schools?
• What is a Hessian matrix?

Logic Topics to Research

We have some interesting logical topics for research papers. These are perfect for students interested in writing about math logic. Pick one right now:

• Discuss the reductio ad absurdum approach
• Discuss Boolean algebra
• What is consistency proof?
• Analyze Trakhtenbrot’s theorem (the finite model theory)
• Discuss the Gödel completeness theorem
• An in-depth analysis of Morley’s categoricity theorem
• How does the Back-and-forth method work?
• Discuss the Ehrenfeucht–Fraïssé game technique
• Discuss Aleph numbers (Aleph-null and Aleph-one)
• Solving the Suslin problem

Algebra Topics for a Research Paper

Would you like to write about an algebra topic? No problem, our seasoned writers have compiled a list of the best algebra topics for a research paper:

• Discuss the differential equation
• Analyze the Jacobson density theorem
• The 4 properties of a binary operation in algebra
• Analyze the unary operator in depth
• Analyze the Abel–Ruffini theorem
• Epimorphisms vs. monomorphisms: compare and contrast
• Discuss the Morita duality in algebraic structures
• Idempotent vs. nilpotent in Ring theory
• Discuss the Artin-Wedderburn theorem
• What is a commutative ring in algebra?
• Analyze and describe the Noetherian ring

Math Education Research Topics

There is nothing wrong with writing about math education, especially if your professor did not give you writing prompts. Here are some very nice math education research topics:

• What are the goals a mathematics professor should have?
• What is math anxiety in the classroom?
• Teaching math in UK schools: the difficulties
• Computer programming or math in high school?
• Is math education in Europe at a high enough level?
• Common Core Standards and their effects on math education
• Culture and math education in Africa
• What is dyscalculia and how does it manifest itself?
• When was algebra first thought in schools?
• Math education in the United States versus the United Kingdom

Computability Theory Topics to Research

Writing about computability theory can be a very interesting adventure. Give it a try! Here are some of our most interesting computability theory topics to research:

• What is a multiplication table?
• Analyze the Scholz conjecture
• Explain exponentiating by squaring
• Analyze the Myhill-Nerode theorem
• What is a tree automaton?
• Compare and contrast the Pushdown automaton and the Büchi automaton
• Discuss the Markov algorithm
• What is a Turing machine?
• Analyze the post correspondence problem
• Discuss the linear speedup theorem
• Discuss the Boolean satisfiability problem

Interesting Math Research Topics

We know you want topics that are interesting and relatively easy to write about. This is why we have a separate list of our most interesting math research topics:

• What is two-element Boolean algebra?
• The life of Gauss
• The life of Isaac Newton
• What is an orthodiagonal quadrilateral?
• Tessellation in Euclidean plane geometry
• Describe a hyperboloid in 3D geometry
• What is a sphericon?
• Discuss the peculiarities of Borel’s paradox
• Analyze the De Finetti theorem in statistics
• What are Martingales?
• The basics of stochastic calculus

Applied Math Research Topics

Interested in writing about applied mathematics? Our team managed to create a list of awesome applied math research topics from scratch for you:

• Discuss Newton’s laws of motion
• Analyze the perpendicular axes rule
• How is a Galilean transformation done?
• The conservation of energy and its applications
• Discuss Liouville’s theorem in Hamiltonian mechanics
• Analyze the quantum field theory
• Discuss the main components of the Lorentz symmetry
• An in-depth look at the uncertainty principle

Geometry Topics for a Research Paper

Geometry can be a very captivating subject, especially when you know plenty about it. Check out our list of geometry topics for a research paper and pick the best one today:

• Most useful trigonometry functions in math
• The life of Archimedes and his achievements
• Trigonometry in computer graphics
• Using Vincenty’s formulae in geodesy
• Define and describe the Heronian tetrahedron
• The math behind the parabolic microphone
• Discuss the Japanese theorem for concyclic polygons
• Analyze Euler’s theorem in geometry

Math Research Topics for Middle School

Yes, even middle school children can write about mathematics. We have some original math research topics for middle school right here:

• Finding critical points in a graph
• The basics of calculus
• What makes a graph ultrahomogeneous?
• How do you calculate the area of different shapes?
• What contributions did Euclid have to the field of mathematics?
• What is Diophantine geometry?
• What makes a graph regular?
• Analyze a full binary tree

Math Research Topics for College Students

As you’ve probably already figured out, college students should pick topics that are a bit more complex. We have some of the best math research topics for college students right here:

• What are extremal problems and how do you solve them?
• Discuss an unsolvable math problem
• How can supercomputers solve complex mathematical problems?
• An in-depth analysis of fractals
• Discuss the Boruvka’s algorithm (related to the minimum spanning tree)
• Discuss the Lorentz–FitzGerald contraction hypothesis in relativity
• An in-depth look at Einstein’s field equation
• The math behind computer vision and object recognition

Calculus Topics for a Research Paper

Let’s face it: calculus is not a very difficult field. So, why don’t you pick one of our excellent calculus topics for a research paper and start writing your essay right away:

• When do we need to apply the L’Hôpital rule?
• Discuss the Leibniz integral rule
• Calculus in ancient Egypt
• Discuss and analyze linear approximations
• The applications of calculus in real life
• The many uses of Stokes’ theorem
• Discuss the Borel regular measure
• An in-depth analysis of Lebesgue’s monotone convergence theorem

Simple Math Research Paper Topics for High School

This is the place where you can find some pretty simple topics if you are a high school student. Check out our simple math research paper topics for high school:

• The life and work of the famous Pierre de Fermat
• What are limits and why are they useful in calculus?
• Explain the concept of congruency
• The life and work of the famous Jakob Bernoulli
• Analyze the rhombicosidodecahedron and its applications
• Calculus and the Egyptian pyramids
• The life and work of the famous Jean d’Alembert
• Discuss the hyperplane arrangement in combinatorial computational geometry
• The smallest enclosing sphere method in combinatorics

Business Math Topics

If you want to surprise your professor, why don’t you write about business math? We have some exceptional topics that nobody has thought about right here:

• Is paying a loan with another loan a good approach?
• Discuss the major causes of a stock market crash
• Best debt amortization methods in the US
• How do bank loans work in the UK?
• Calculating interest rates the easy way
• Discuss the pros and cons of annuities
• Basic business math skills everyone should possess
• Business math in United States schools
• Analyze the discount factor

Probability and Statistics Topics for Research

Probability and statistics are not easy fields. However, you can impress your professor with one of our unique probability and statistics topics for research:

• What is the autoregressive conditional duration?
• Applying the ANOVA method to ranks
• Discuss the practical applications of the Bates distribution
• Explain the principle of maximum entropy
• Discuss Skorokhod’s representation theorem in random variables
• What is the Factorial moment in the Theory of Probability?
• Compare and contrast Cochran’s C test and his Q test
• Analyze the De Moivre-Laplace theorem
• What is a negative probability?

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Mathematics Essay Topic Ideas & Titles

🏆 good mathematics essay topic ideas, 🥇 interesting mathematics topic ideas for college, 📍 essay topics to write about mathematics.

• Assessment in mathematics teaching in regards to the National Curriculum For the intents of this paper, I will concentrate chiefly on the start of the subject and the decision of the subject, and the appraisal strategies employed at these points. This was to the hurt of my instruction and my ...
• Art, Mathematics, And The Mystical Essay Example Through the use of the ruler and a compass, Escher has made hyperbolic patterns in his work. The Mathematical Structure of Escher's Print Gallery.
• It Is More Important for Students to Study History and Literature Than Study Science and Mathematics? Furthermore, studying science has contributed to the improvement of human health. Therefore, it is through the application of science to the improvement of health that death goes down.
• Math: Mathematics and Pupils Essay Sample According to the New Book of Knowledge, 2006, mathematics is the study of numbers, and counting, and measuring, but that is only the beginning. Schematic Model Showing the Interplay of the Independent and Dependent Variables of the StudyStatement of the ...
• Everyday uses of mathematics 0920 of the Mathematics of the Teacher 14 April Everyday Uses of Mathematics Mathematics is a that finds ample usage in varied everyday aspects of life and the activities people engage in. One cannot cook varied recipes given in cook books ...
• Influence of Hindu and Arabs in Mathematics The core of the numeral system was Brahmi numerals and positional notation. Another historical example can be the sharing of knowledge from India to the Arab world.
• Science and Mathematics: Al-Ghazzali, "On the Separation of Mathematic and Religion” The selections written onmathematicsand the scientific description of smallpox imparted that Islam is based on trust and faith in God and not some theory and hypothesis which can be relied upon only if it is proven through calculation, geometry, and ...
• National Council of Teachers of Mathematics In this lesson the objectives are to show the students the importance of numbers in math, and show examples of how they are used in everyday life. The students watch the episode and then use fractions to solve the riddles ...
• What did Plato contribute to Mathematics? Essay Sample Plato's many contributions to modern mathematics include the founding of the Academy of Athens, method of philosophical problem solving, and his Theory of Forms. This was Plato's personal and most direct contribution to the field of mathematics.
• Problem Solving In Mathematics Essay Sample How much money did Cleo spent in the hotel? How much money did Cleo have at the end of Thursday?
• Mathematics in Cryptology This information is used to assess threats to the Navy and to the protection of the United States. The major impetus, despite the fact that, appears to have come with the appearance of radiocommunicationat the beginning of the 20th century.
• Polynomials: Mathematics and Polynomial Function One way to solve this is to approximate the curve that you obtained from your data by a graph of a polynomial function hoping that this polynomial function can also approximate the data in the future. In every math class, ...
• Example Of Essay On Mathematics Assignment For example, in physics, the derivative of a function of the movement is a function of speed. Therefore, the application of this concept is very broad.
• Negative Responses To Mathematics Education Essay The intent of this study is to analyse the chief cause ofmathematicspanic in colleges and to offer solutions and give recommendations to the Head of the Department of Mathematics and Statisticss at Curtin University. A general overview of the nature ...
• History of Mathematics: the Fibonacci Sequence The only use of mathematics identified was for ecclesiastical calendars and growth in mathematical knowledge is limited to the representation of number by means of the fingers. The application of astronomy and mathematics for creating a world map is credited ...
• Discrete and Combinatorial Mathematics (Week 4) If a, b are distinct vertices in a connected undirected graph G, the distance from a to b is defined to be the length of a shortest path from a to b. PLEASE PLACE ANSWER HERE Positions of the guards ...
• Mathematics exam 4Thus the amount that is interest = 278570. 8Account B, simple interest amount:[3000 * * 2] + 3000 = 3300The account A which employs the use of compound interest will give an accmulated amount of 3244.8.
• Good Example Of Mathematics Essay Limx-a f = means that the limit of the function as x tends to a is infinity while Limx- f = b means that as the limit of the function as x tends to infinity is equal tob. A function ...
• The Mathematics Performance Of African-American Students Essay The review on NCLB was found that the act was not beneficial to the academic success of African Americans as it centred on addressing the achievement and not what the achievement gap between African-Americans and their peers represented. There is ...
• Mathematics Is My Choice to Study Further In addition, it has developed my written and verbal communication, broadening my knowledge of statistics whilst developing my skills of data communication and presenting building upon my critical thinking skills as well as my analytical skills. My A level experience ...
• Study of government backed initiatives to promote female participation in Physics and Mathematics The essay will consider the different teaching techniques and styles that have been researched and implemented in order to appeal specifically to a female audience and their relative success in terms of encouraging females to pursue both highereducationin STEM based ...
• Good Research Paper On Card Counting And Mathematics The card counting also provides players with an opportunity to change the decisions within the game that greatly depend on the composition of the cards remaining. It is referred to as the 'effect of removal' of a card.
• Sample Creative Writing On Teaching Mathematics To Middle / High School Learners I would teach the subject using problems and puzzles that evoke their interest and would use computers for the understanding of the ideas and doing the calculations. For achieving that, I would like to integrate traditional and modern methods of ...
• Teaching Mathematics And Science Essay Samples The learning can be specifically integrated into the play activities of the children.- What is the continuum of cognitive development and how does it relate to learning math and science? The curriculum for children should be in line with the ...
• The Relationship Between English Proficiency And Mathematics Proficiency Education Essay Statement of the ProblemThis study aims to determine the relationship between the English proficiency and Mathematics proficiency of BSCS Students o STI College Bacoor, A.Y. Is there any relationship between the English proficiency level and Mathematics proficiency level of the ...
• Book review: mathematics for physicists The book is well written and organized and it does a good job in the first two chapters of reviewing the basic elements of Euclidean geometry, trigonometry, real numbers, algebra, real variables, and elementary functions which are needed in the ...
• Types of mathematics and engineering It is the study of change occurs on the limits, same as that of geometry which is the study of shapes and algebra is the study of change, in the same way that geometry is the study of shape and ...
• How is statistics different from mathematics? assignment The why has to do with reasons for collecting the data in the first place, a careful reflection of which lead to a systematic statement of the study, formulation of hypotheses, and exploration of possible methods of testing these hypotheses. ...
• Afterschool mathematics and sciences daycare program Answer to Question 1: The first possible outcome of these afterschool programs are increases in the performance of the children that participate in the programs. The students will tell their friends about the experiences they have in the program, and ...
• The impact of using technology on students’ achievement, attitude, and anxiety in mathematics Significant differences were noted in the pretest and posttest mean scores in the achievement, attitude, and anxiety of the different ability groups in favor of the high ability group. Pretest and posttest results of the respondents in the instruments of ...
• Mathematics in a marketing career assignment
• Algebra mathematics work essay example
• Equity and social justice in the teaching and learning of mathematics
• Mathematics behind "21 card trick”
• Elemenatary and middle school mathematics
• The evolution of mathematics of celestial motion assignment
• Mathematics book report
• The concept of probability in mathematics
• Brief summary of historical orientation of mathematics
• History of mathematics
• Mathematics in our daily life
• Students experiences in mathematic essay sample
• Introduction mathematics and physics. as hall (para 1)
• Evaluation of mathematics curriculum
• Philosophy and development of greek and chinese mathematics philosophy essay
• Chemical engineering: mathematics and chemistry
• The link between knowledge and doubt in mathematics and ethics
• The big math for little kids early childhood mathematics program
• Learning in mathematics and science
• Models of lesson planning for mathematics
• Is learning mathematics at university different to learning mathematics at school?
• Relationship between sociocultural diversity and mathematics
• Teaching methods mathematics
• Fostering engagement in mathematics education essay
• Mathematics nepal’s earthquake camps.table of contentintroductionpage 3sir
• Technology influences learning in science and mathematics courses
• In primary schools. these tend to be ex-mathematic
• The effect of computer-based mathematics on problem solving
•  pgce mathematics
• Chicago (A-D)
• Chicago (N-B)

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260 Research Topics For Math Papers

Mathematics research topics span a range of categories that students are able to select. Some people think that doing research about math is boring. But math can be an amazing and exciting subject. Because mathematics is a language, universal mathematics can explain anything and anything, from galaxies that are orbiting each other to music.

But the vastness of this field of study also creates the task of selecting a research paper difficult. It's because students need to select topics that can convince teachers so that they can award them the highest marks. This article provides the top research paper topics for math. It's helpful because it encourages students to pick or choose subjects for their academic essays without much difficulty.

What Are The Different Types Of Math?

As you can see, mathematics is a broad subject that covers a range of disciplines. Here are the most common kinds of math:

• Geometry: It's a mathematical branch that deals with dimensions, shapes and positions of figures. Many consider geometry to be an appropriate math field due to the fact that it examines figures' sizes, shapes and the characteristics of different objects, such as solids, lines and surfaces, lines, angles, and solids.
• Algebra is helpful in solving problems and manipulating symbols. This branch assists students in representing the unknown with letters and applying them to numbers.
• Calculus, The area of calculus is essential in determining rates of change, including acceleration and velocity.
• Arithmetic: Arithmetic is the most popular and oldest maths discipline, which covers base operations with numbers. These include subtraction, divisions, additions multiplications, and some schools even shorten it to BODMAS.
• Statistics and Probability assist analyze numerical data in order to create predictions. Probability is about chance, while statistics is about managing different types of data by employing various methods.
• Trigonometry is a method of measuring the angles of angles and also distances between two points. It mostly deals with triangles' relationship to sides, angles, and curves.

Fun Math Topics

If you're struggling to begin creating your essay, here is an array of fun and interesting math-related topics for you to consider. They'll definitely keep you engaged and make writing enjoyable. Additionally, engaging math topics can demonstrate to everyone that math can be fun and even humorous.

• The relationship between art and mathematics - studying the Golden Ratio in Renaissance-era paintings.
• A review of the set theory developed by Georg Cantor.
• The best methods to learn math concepts and develop the ability to recognize numbers.
• Different ways to think about probability are examined through the analysis of card tricks.
• Chess and checkers use math in leisure activities.
• In computer science, there are five distinct forms of math.
• Practical applications to The Pythagorean Theorem.
• An examination of the various mathematical logic theories.
• Game theory is a key concept within social sciences.
• Mathematical definitions of the concept of infinity and the best way to quantify it.
• What's the rationale behind math problems that cannot be solved?
• A description of median, mean media, mode and mean using maths grades in the classroom.
• The geometry and properties of geometry and properties of a Mobius strip.
• Utilizing truth tables to demonstrate the logic behind the propositional phrase.
• The relation to Pascal's Triangle as well as The Binomial Theorem.
• The use of various numbers: the history.
• The use of differential geometry in contemporary architecture.
• A mathematical method to solve the problem of the Rubik's Cube.
• Comparative analysis of prescriptive and predictive statistical analysis.
• The explanation of the various iterations that comprise the Koch snowflake.
• The significance of calculation limits.
• Hexagons are the most balanced form throughout the world.
• The development of chaos theories' patterns.
• What were the contributions of Euclid to mathematics?
• The differences between abstract and universal algebra.

Math Essay Topics for High School

When you write a paper on math in order to prove that you are able to comprehend the concept, this can be beneficial in the event that you have to prepare for an examination. Pick a topic from this section and choose the topics you'd like to talk about.

• Define what we require in Pythagoras' theorem.
• What is hyperbola?
• Define the distinction between the two.
• What is the best time to make use of a calculator?
• Make connections with maths and arts.
• How can you solve the linear equation?
• Discuss the best way to calculate the probabilities that two dice will be rolled.
• Do you see a connection between math and philosophy?
• What maths do you employ in your daily routine?
• What is numeric data?
• Define how to use the binomial theory.
• What is the property of multiplication that is distributive?
• Explore the key concepts in ancient Egyptian mathematics.
• Why do so many students loathe math?
• Should mathematics be required in school?
• How do you do an equivalent transformation?
• Why do we require imaginary numbers?
• How do you determine the slope of an arc?
• What's the distinction between cosine, sine and the term tangent?
• What is the cross-product of two vectors?
• What are we using differential equations to solve?
• Find out ways to determine the value of the mean.
• Define linear growth.
• Give examples of various kinds of numbers.
• How do you find a solution to the problem of a matrix?

College Math Topics for a Paper

Sometimes you require more than just formulas and formulas to communicate a complex concept. Knowing how to present yourself is so important. This is especially important in college-level math.

• What are we looking for to use n-dimensional spaces?
• Define how counting cards is done.
• Define the difference between a discrete as well as a continuous distribution of probability.
• What is the function of encryption?
• Describe extremal problems in discrete geometry.
• What is the reason that makes the math problem insolvable?
• Study the topology of a Mobius strip.
• What is K-theory?
• Examine the fundamental issues of computational geometry.
• Discuss the application of set theory.
• What are we looking for in Boolean functions?
• Discuss the major topological concepts of modern math.
• Study what properties are inherent in a rotating matrix.
• Examine the practical applications of game theory.
• How do you solve a Rubik's Cube mathematically?
• Discuss the mathematics that lies behind the Koch snowflake.
• Define the paradox of Gabriel's Horn.
• How do fractals develop?
• Find a solution to Sudoku by using math.
• What is the reason why the Riemann hypothesis is not solved?
• Discuss the Millennium Prize Problems.
• How do you split complicated numbers?
• Examine the degree of polynomial functions.
• What are the most significant concepts of number theory?
• Examine the various types of statistical techniques.

Mathematical Advanced Topics to Write a Paper

If you've successfully completed the tests of basic math, then you are able to move on to the advanced portion. This is where you will find topology, combinatorics and mathematical logic , and computational math.

• What is an abelian group?
• Define the orbit-stabilizer theorem.
• Discuss the factors that make the Burnside issue significant.
• What are the fundamental characteristics that Holomorphic functions have?
• What is Cauchy's integral theorem? Result in the integral formula of Cauchy?
• What do the two Picard theorems connect to each with each
• What is known as one of the Fourier series?
• Give an example of an algorithm that you have used to aid in machine learning.
• Check out the different kinds of knapsack challenges.
• What is the minimal overlap problem?
• Explain your understanding of the Bernoulli scheme.
• Provide a formal definition of the Chinese restaurant procedure.
• Examine the map of logistics in connection to chaos.
• What do we require for the Feigenbaum constants?
• Define an equation of difference.
• Define the purpose of the Fibonacci sequence.
• What is an unintentional transfer?
• Examine Riemann with the Ruelle Zeta functions.
• How can you make use of elementary embeddings in the model theory?
• Examine the issue using the wholeness axiom, as well as Kunen's theory of inconsistency.
• What is Lie algebra applied in Physics?
• Define the various algebraic cycles.
• What is the reason we require cohomology groups that are stale in order to compute algebraic curves?
• What is non-Euclidean geometry made up of?
• How do two lines become ultraparallel?

Math Research Topics for a Paper

Selecting the right subject is essential for the success of your writing a research essay in mathematics. It must be challenging enough to convince you. However, it shouldn't exceed the limits of your knowledge. If possible, remain within your field of expertise.

• Write about the development of calculus.
• What makes math problems that aren't solved important?
• Find out the reasons behind that gender disparity in maths students.
• What are the most difficult mathematical questions that are asked in the present?
• Study the concept of spaces for the operator.
• What can we do to design the train schedules for all of the nation?
• What are the factors that make a number large?
• What is the best way to make infinities come in different sizes?
• What is the most effective mathematical strategy to be successful in the game Go?
• Examine natural patterns of random walks in biology.
• Define the type of math that was utilized in the ancient times of Persia.
• Discuss how the Iwasawa theory is related to the modular form.
• What are the roles of prime numbers in encryption?
• What was the process through which the field of mathematics developed?
• Explore the various options for Tower of Hanoi solutions.
• Find Napier's bones. How can you make use of them?
• What is the most mathematical method to locate someone who's lost in the maze?
• Examine the Traveling Salesman Problem. Can you find a new strategy?
• Explain how barcodes work.
• Examine some real-life instances of the chaos theory. What is the best way to define them mathematically?
• Check out the impact of different innovative mathematical equations.
• Research the Seven Bridges of Konigsberg. Link the issue to the city you prefer.
• Examine Fisher's basic theorem of natural selection.
• How does quantum computing work?
• Choose a math problem that isn't solved and explain why it is so difficult.

Math Education Research Topics

Many teachers find the most difficult task is keeping the students engaged. When math is involved, it can be particularly difficult. It is essential to make complex concepts simple to comprehend. That's why we must conduct research into math education.

• Examine traditional methods of teaching math with more innovative methods.
• How can you enhance mathematical educational opportunities in the U.S.?
• Discuss ways to encourage girls to take up jobs within STEM fields.
• Is it appropriate to have computer programming taught in high school?
• Determine the main goals for mathematics instruction.
• Find out how you can improve the accessibility of math for students with learning disabilities.
• When do children need to begin practicing simple math?
• Study the impact of gamification on algebra classes.
• What are the benefits students can gain by participating in math competitions?
• What are the advantages of a move away from standard tests?
• Define the root causes of "math anxiety." How do you get rid of it?
• Discuss the political and social significance of mathematics education.
• Define the most pressing concerns in math education for public schools.
• What is the most effective way to encourage children to learn about math?
• What can students do to improve their mathematical thinking outside of class?
• Discuss the advantages of using technology in math classes.
• In what ways is the culture influencing your math education?
• Learn about the history of teaching mathematics.
• Compare math education in various countries.
• What impact does dyscalculia have on students' lives?
• What school subjects could math be incorporated?
• Did a maths degree increase in value in the past few years?
• What are the negatives that come with the Common Core Standards?
• What are the benefits of a blended curriculum for math?
• Discussion of the benefits of Mathcamp.

Algebra Topics for a Paper

The beauty of algebra comes because of its simplicity. It allows us to explain complex issues in small equations.

• Provide an instance of an Induction Proof.
• What do F-algebras serve?
• What are the main issues?
• Highlight the importance of abstract algebra.
• Examine the peculiarities of Fermat's final theorem.
• What are the basic concepts of algebra?
• Examine the connection between geometry and algebra.
• Examine the different features of commutative and noncommutative algebra.
• Why is Brun's steady presence so important?
• How do you factor quadratics?
• Explain Descartes' Rule of Signs.
• What is the quadratic equation?
• Examine the four different types of sequences, and then define the four types of sequences and define.
• Discuss how fractions are divided.
• What is the purpose of logarithms?
• Explain what you mean by Gaussian elimination.
• What is Cramer's rule?
• Learn the distinction between eigenvectors and Eigenvalues.
• Examine your Gram-Schmidt procedure in 2 dimensions.
• Define what you mean by "range" and "domain" in algebra.
• What do you think you can do with determinates?
• Find out more about the history behind the formula for distance.
• Find out the best method to solve word problems in math.
• Check the relationship between the different models of solving equations.
• Find out how Rubik's Cube is related to the concept of group theory.

Geometry Topics for a Research Paper

Space and shapes are the two main components of geometry. Since its beginning in the earliest days, geometry has developed into a significant field of research. The most recent addition to Geometry, called topology, focuses on the effects on an object when you expand, shrink or fold it. It can be quite a wild ride from here.

• What is the nature of Archimedean solids?
• Find real-life uses for a rhombicosidodecahedron.
• What do we study in the field of projective geometry?
• Check out the most popular kinds of transformations.
• Define how acute square triangulation operates.
• Discuss the Borromean Ring configuration.
• Find solutions to Buffon's needle.
• What is special in right triangles?
• Define the concept of Dirac manifolds.
• Examine the different relations between lines.
• What exactly is what is the Klein bottle?
• What is the relationship between geometry and other disciplines, like the sciences of physics and chemistry?
• Explore Riemannian manifolds within Euclidean space.
• What is the best way to demonstrate the angle bisector theorem?
• Conduct a study on M.C. Escher's use of geometry in his.
• Find the right applications for the golden ratio.
• Explain the significance of circles.
• Find out what the ancient Greeks were aware of about geometry.
• What is congruency?
• Examine the various uses of Euler's formula.
• What do CT scans connect to the geometry?
• What is the reason we require the n-dimensional vectors?
• How do you resolve Heesch's issue?
• What are hypercubes?
• Study the use of geometric shapes in Picasso's paintings.

Calculus Topics to Write a Paper on

Calculus can be described as an even more complex algebra. It's a study of the evolution of a system in time, which provides valuable insights into everyday issues. Calculus applications are essential in many areas like sociology, engineering or business.

• What are the main differences between trigonometry and algebra, and calculus?
• Define the notion of limits.
• Define the formulas that are standard to calculate derivatives.
• What are the most important elements in the graph?
• Assess the validity of L'Hopital's rules.
• What is the definition of the curves' area?
• What is the basis of calculus?
• What is multivariate calculus?
• Discuss the usage of Stokes Theorem.
• What do Leibniz's integral rules stipulate?
• What's the Ito stochastic integral?
• Examine the impact of non-standard analysis on probability theory.
• Study the history of calculus.
• Who was Maria Gaetana Agnesi?
• Define a continuous function.
• What is the most fundamental mathematical theorem in calculus?
• How do you determine your Taylor sequence of a given function?
• Discuss the best ways to fix Runge's issue.
• Discuss the extreme value theorem.
• What are we looking for the predicate calculus to do?
• Which are the linear approximations?
• What happens when an integral becomes in error?
• Describe the Ratio and Root Tests.
• How do rings function?
• Where can we apply math in real-world scenarios?

Business Math Topics to Write About

You don't need to be the owner of an enterprise to be able to appreciate business math. The topics include everything from credit and loans to insurance taxes and investments. Even even if you're no mathematician, you can still use it to manage your financial affairs. Do you find this intriguing?

• What are the most important abilities required to be a successful business manager?
• How do you calculate the interest rate?
• Compare consumer and business math.
• What's the definition of a discount percentage?
• How can you determine if an investment is a reasonable one?
• When is it appropriate to make a payment on a loan by taking another loan?
• Find financing options that anyone can benefit from.
• What is the process behind critical path analysis? Perform?
• Define how loans work.
• What areas of work use operations research?
• What do companies make of the use of statistics?
• What is the economic lot scheduling issue?
• Check out the various uses of chart types.
• What is the cause of a crash in the stock market?
• How do you determine the net value at present?
• Discover the rich history of revenue management.
• What are the best times to use multi-period models?
• Define the effects of depreciation.
• Are annuities an investment that is worth it?
• Could the U.S. financially benefit from eliminating the penny?
• What was the cause of what caused the United States housing crash in 2008?
• How should the sales tax be calculated?
• Explain the concept of markdowns and markups.
• Find out the maths behind debt amortization.
• What distinguishes a mortgage from a mortgage?

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IB Math Extended Essay Topics: 20+ Ideas for Inspiration

by  Antony W

September 3, 2022

Do you feel stuck on searching for and choosing the best IB Math Extended Essay topics? Or maybe you already have a topic for consideration but it isn’t viable enough to fit the scope of the assignment?

You’ve come to the right place.

In this guide, we’ll give you 15+ IB Math ideas that you can use as inspiration to come up with your own topic or modify and investigate further in your extended essay.

What’s the Purpose of IB Math Extended Essay?

An extended essay in mathematics gives you the chance to demonstrate an understanding of any part of the subject.

You can give an expression on the beauty of mathematics in geometry or fractal theory, the elegance of mathematics in the proving of theorems, and the origin and subsequent development of a branch of mathematics over a period.

The extended essay also allows you to demonstrate the link between the different branches of mathematics and the powerful structures that enable many different problems to be solved by a single theory and the way in which mathematics is applied to real-world situations.

Your essay requires a well-defined and focused research question. An abstract is no longer necessary in an extended essay , but you’re welcome to include it if you believe it will summarizes your strategy to solving the research question and your findings

Math Extended Essay Writing Assistance

While Math opens up an opportunity to explore complex issues beyond the IB Diploma course , the subject can be extremely challenging for some IB students.

If you’re one of the students who chose Math for the Extended Essay project but you find the subject challenging, you can get help online from experts in the subject.

Help for Assessment offers the most  comprehensive Extended Essay help   in Mathematics, even on a topic that you would consider too complex to handle. With our help, you’ll find complex concepts easy to understand, not to mention you’ll get your Math assignment completed on time.

We understand that Math tasks can be costly and involving. However, we’ve made our writing service as affordable as possible, so you can get professional writing help.

We can write you first draft before the first reflection session with your supervisor and equally help you fine-tune the last draft for the final submission.

IB Math Extended Essay Topics

The following are examples of IB Math Extended Essay topics that you might find worth investigating further: 

• What is the return percentage of a certain three-reel slot machine?
• What are the alternatives to Euclidean geometry and what are their practical applications?
• Comparison of population growth models for Country X for the past n years, with projections for the future.
• The exploration of geometric series in musical instruments, such as the fret position on a guitar
• How many convex polygons can you construct from seven tangram pieces?
• An examination of the alteration of a message's truthful substance during transmission between persons
• Is there a connection between the golden ratio and human’s perception on natural beauty, with a focus on the human face and form?
• Is there a relationship between SAT scores and school test results/GPA?
• Leibniz and Newton independently developed calculus at around the same time. Compare their techniques and analyze which notation is currently more prevalent.
• What is the Binomial Theorem, and how has it contributed to human history?
• Complex number problem-solving techniques: What types of real-world issues do complex numbers assist solve?
• Applying Newton's Forward Difference Formula to predict the number of triangles created by subdividing the sides of an equilateral triangle n times.
• RSA Public Key Cryptography's use of modular arithmetic and huge prime integers to achieve anonymity
• Investigating the link between Pascal's Triangle and the Fibonacci sequence
• How can mathematical modeling that employs differential equations determine population growth patterns for a predator and its prey?
• How can the population of cells be determined throughout time? Which mathematical model approximates an actual experiment more precisely?
• A study of Riemann Sums (conventional integration to get areas) and Numerical Integration
• Vedic Mathematics: an investigation of its effectiveness and exploration of its applications
• How are Laplace transforms utilized in the solution of second-order differential equations?
• A statistical examination of the impact of background music on pupils' short-term memory ability
• Analytical and geometric formulations of parabolic and cubic Bezier curves as used in computer graphics software
• A quantitative analysis of the efficacy of two herbs for treating impetigo skin condition
• A study of the nature of beats and the relative consonance of pure-tone dyads
• The link between logical-mathematical intelligence and academic achievement at the undergraduate level
• A study of the link between a bond's coupon rate, yield to maturity, and its clean price
• Using the addition of sine curves to analyze the harmony of Chinese and Western musical scales
• The correlation between students' attitudes toward mathematics and their mathematical performance
• How near is the approximation of the Taylor Series to the original function
• What criteria determine whether the movement of employees on a building site achieves "equilibrium"?
• The efficacy of an English Tuition Program in enhancing the English skills of participants
• A statistical examination of the causes of fatal traffic accidents throughout the holiday season
• Does studying a third language have any influence on the short-term memory retention of lower secondary students?

Keep in mind that this list is not exhaustive by any means. So if none of these topic ideas appeals to you, doing additional research can make a difference.

Related Reading

• The Complete Guide for IB Math Extended Essay
• Get a List of Psychology Extended Essay Topics Here
• Learn More About Physics Extended Essay Assignment

Some Tips to Help You Choose a Relevant Math EE Topic

You can write an extended essay in math on any subject with a mathematical focus. Because IB doesn’t limit the assignment to mathematical theories, you may select mathematical themes from engineering, sciences, and the social sciences.

Statistical analyses of experimental results from other disciplines are also appropriate, as long as they focus on the modeling method and address the limits of the results.

A topic chosen from the history of mathematics may also be acceptable, provided you bring out a clear progression of mathematical growth.

Focusing on the lives of mathematicians or their personal rivalry would be irrelevant and would not score highly on the grading criteria.

Notably, the evaluation criteria provide points for the nature of the inquiry and the extent to which reasoned arguments are suitable for a research issue.

You need to avoid selecting a topic that generates a trivial research question or is insufficiently concentrated to permit suitable presentation in an essay of the right length.

Typically, you will have to challenge yourself to either extend their knowledge beyond the Diploma Program course or apply techniques learned in their mathematics course to the modeling of an adequately chosen topic.

Final Thoughts

One of the most important thing to keep in mind once you find a suitable Math EE topic is that you will be working on an essay, not a research article for a journal of advanced mathematics.

Also, no finding, no matter how remarkable, should appear in your work without proof of your actual understanding of it. 

About the author 

Antony W is a professional writer and coach at Help for Assessment. He spends countless hours every day researching and writing great content filled with expert advice on how to write engaging essays, research papers, and assignments.

Math Essay Writing Guide

It is often met that students feel wondered when they are asked to write essays in math classes. Actually, the tasks of math essay writing want to make students demonstrate their knowledge and understanding of mathematical concepts and ideas.

This kind of essay is what students of both college and high school students can be asked to create. Yes, this type of writing is quite special, and having its own tricks and demands. Still, guides for writing a math essay is mostly the same as for those of other subjects.

If you think you do not have enough time or skill to complete a math essay on your own, remember about the possibility to ask for essay help online .

Set Up Your Topic

Just like any other essay, math writing is to be started from choosing a topic. Here are several possible ways to go. First one wants you to choose any mathematical concept that seems to be interesting for you, like one of those you discussed with a teacher and classmates and want to investigate it a bit deeper. Another way is, you can choose any math problem you have solved in the past.

For this type of writing, you show up a problem, and then show your way towards solving it and getting the right answer. Whatever the type of essay is, you need to provide a brainstorm and find the topic worrying your mind the most, as to write about something you need to research it seriously. For instance think about any particular concept or equation of mathematics you would like to spend a bit more time to investigate, and then note your thoughts on a paper.

Consider the Audience

Thinking about the audience that is going to read your essay is a must for any essay, same thing goes for math paper writing. Mathematician P. R. Halmos offers the way to think about the particular person while writing an essay, in the text of his article “How to Write Mathematics”.

Halmos says it is good to think about someone who has math ways that “can stand mending”. To say in other words, when writing an essay, do not try jumping above your head and write the text for the audience that has the same skill in math as you do. Yes, you write a math essay in order to present the idea or to explain a problem solution. But still, you want to prove your method to be the best one. Try convincing the reader in that, and the essay is guaranteed to be interesting.

Concept Essay in Math

In case of math, concept essays look similar to those for other classes. In fact, you need to write a regular expository essay to complete your task. To do that, you research a certain math concept, analyze it, then form and develop your upcoming theoretical ideas basing on the experience and knowledge you could get when providing the investigation, and then claim it as a usual thesis statement.

Start writing your essay with the intro, importing the topic through it. include your claim about the theory there. The, you need to develop your claim in the further text, and to present reliable evidences you found during the research to prove your viewpoint. Write a conclusion, tie up any loose ends and readdress your theoretical info according to the way how it was provided before.

Math Equation Essay

To complete an equation essay successfully, you should show up the problem and solution at once, in the essay intro. Then, explain the problem significance and factors that made you choose your certain way towards the solution. Both significance and rationale are the same with a thesis statement, they serve as the base ground for your argumentation here.

Compose a paragraph that clearly shows the reader how to solve the problem according to your vision, make a “how-to” user guide for the chosen problem. If the problem is complex, set up a helpful graph that could demonstrate your equation result. Explain what can be seen on that graph. Same thing: define variables carefully and precisely with sentences like “Let’s think n is any real number.” Show up your problem solving methodical, guide the reader through the used formulas and explain why you used exactly those ones.

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260 Interesting Math Topics for Analyses & Research Papers

Arithmetic is the science out figure and shapes. Print about it bottle give she one fresh perspective and help to clarify difficult concepts. You can even use math-based writing as a tool in problem-solving.

Our specialists will write a customer essay on any topic for $13.00 $10.40/page

In this article, you will found lots of interesting math topics. Besides, them will learn about local of mathematics that thee can choose from. And if the reason of letters and figure makes your head swim, try our custom writing service . Our specialized will craft ampere printed for you in no time!

Press now, let’s progress to math essay topics and tips.

• 🔝 Top 10 Interesting Math Topics
• ✅ Boughs of Mathematics
• ✨ Amusing Math Key
• 🏫 Math Topics for High School
• 🎓 Colleges Math Topics
• 🤔 Advanced Math
• ✏️ Mathematics Education
• ➗ Calculating
• 💵 Business Advanced

🔍 References

🔝 top 10 interesting art topics.

• Number lecture inches everyday life.
• Logicist definitions starting maths.
• Multivariable vs. vector mathematical.
• 4 conditions of functional analysis.
• Indiscriminate variable within probability theory.
• Methods is arithmetic used inbound cryptography?
• The end of homological algebra.
• Concave vs. bulging in geometry.
• The philosophical problem of endowments.
• Is numerical analysis useful for machine lessons?

✅ Offshoots of Advanced

What exactly is mathematics ? First and foremost, it is very obsolete. Historic Greeks and Peruvian subsisted already utilizing math-based tools. Nowadays, wealth consider items an interdisciplinary language.

Biologists, linguists, and sociologist alike make math in their function. And don only that, we all deal with it in our daily lives. For instance, it manifests in who measurement of time. We often need it to calculate how of our groceries cost and how much paint we need to buy for cover a wall. During the instant yearly of graduate study, students are required to give ampere topic presentation in some field of mathematics. This destination of the topic is to help ...

Simply put, art is a universal instrument on problem-solving. We can divided purple math into three branches: geometry, calculator, and algebra. Let’s take a closer look: Calculations, Importance of innate base 'e' into maths, Importance of Pi , Mathematics is nature etc,. could be fine topics. goody luck. Cheers !

• Geometry By studies graphic, we endeavour until comprehend our physical surroundings. Mathematical shapes can breathe simple, like a triangle. Or, they can submit complicated figures, like a rhombicosidodecahedron.
• Arithmetic Arithmetic daily with phone and simple operations: subtraction, addition, division, and multiplication.
• Algebra Algebra is used whenever the exact numbers are unclear. Instead, they were displaced with letters. Businesses often must algorithm to predict theirs sales.

It’s true is most high secondary students don’t like arithmetic. Anyway, is doesn’t mean it can’t be one fun and forceful subject. In an following section, her wants find plenty of enthralling mathematical topics for to paper. Listen of mathematics topics - Wikipedia

✨ Fun Calculus Our

With you’re struggling to start operating on your essay, we have some fun and cool math topics to offer. They willingly definitely lock you and make to writing process enjoyable. Besides, fun math topics can show everyone that equal mathematics can be funny oder even a chewing dopey.

• The link intermediate mathematical and art – analyzing the Gilded Ratio in Renaissance-era paintings.
• An appraisal of Georg Cantor’s set theory.
• Which best approaches to learning science facts and developing number sense.
• Different approaches to probability as explored through analyzing card tricks.
• Chess and checkers – the use on mathematics in amateur activities.
• The fifth types of math used are computer scientists.
• Real-life applications of the Pythagorean Theorem.
• A study of the different theories of mathematical logic.
• The use of game theory into social skill.
• Mathematical definitions of infinity and how to take he.
• What is the logic behind unsolvable math problems?
• An explanation of mean, mode, and mittlere use classroom math grades.
• The properties and geometrical of an Möbius strip.
• Employing truth tables to present the logical soundness out a propositional expression.
• The relationship between Pascal’s Triangle and The Binomial Thesis.
• The use of different batch types: who history.
• The request of distinction geometry on modern architecture.
• A mathematical approach to the solution of a Rubik’s Toss.
• Comparing of predictive and prescriptive statistical analyses.
• Explains the iterations of the Koch snowflake.
• The importance of set in calculus.
• Sextuplets as the most weighed molds in aforementioned total.
• The emergence from patterns in chaos theory.
• What were Euclid’s gifts to the field about mathematics?
• The gauge between universal algebra and abstract algebra.

🏫 Math Essay Topics by Height School

When writing a math paper, you want to demonstrate that you understand an notion. It can be helpful if you need to ready for an exam. Choose a subject from save teilabschnitt and decide what you want to diskuss. Topic Proposal Policy | Department of Mathematics | The ...

• Explain whats us need Pythagoras’ theorem with.
• What exists a hyperbola?
• Characterize the differences between algebra and arithmetic.
• When is it unnecessary to use a calculator?
• Find a connection between art and the dance.
• How perform you solve a lineally equation?
• Discuss how to determine the probabilities of rollers two dice.
• Is there one link between philosophy real math?
• What types von math to you use in to everyday life?
• What is who numerical data?
• Explain how to apply the binomial theorem.
• What is aforementioned distributive property of multiplication?
• Discuss the major concepts in old Ancient mathematics.
• Reason do so many students dislike math?
• Should math be required in school?
• How do you do an equivalent transformations?
• Why achieve were need mythical numerals?
• Wherewith can you compute the slope of a curve?
• Where is the difference between sine, cosine, and tangent?
• How do you define the cross product of two vectors?
• Where do we use differential equationen for?
• Investigate how to calculate the mean value.
• Define linear growth.
• Give examples of different amount types.
• How can you solve one matrix?

🎓 College Math Featured for a Paper

Sometimes you must more than just formulas to explain a complex idea. That’s how knowing wie to drive yourself is crucial. It be especially true fork college-level arithmetic. Consider the next ideas for your next research project: Free and customizable math presentation templates | Canva

• About take we need n-dimensional spaces for?
• Explain how cards counting works.
• Discuss the difference betw a discrete and a continuous probability distribution.
• Whereby makes encryption work?
• Describe extremal problems in discrete geometry.
• What can make a math question unsolvable?
• Examine the topology of a Möbius strip.

• What is K-theory?
• Review and core problems are computational graphical.
• Explain the use off set theory.
• What what we need Boolean feature for?
• Characteristics the hauptstadt topological concepts in modern arithmetic.
• Investigate the properties of a rotation die.
• Analyze the practical application of game theory.
• How can you solve a Rubik’s cube maths?
• Explain that math behind the Koch watering.
• Describe the paradox a Gabriel’s Horn.
• What do scrappy form?
• Find a way to solve Sudoku using math.
• Why is the Riemann hypothesis still unsolved?
• Discuss the Millennium Trophy Problems.
• How can you splitting involved numbers?
• Analyze the degrees in polynomial functions.
• What are this most important concepts in number theory?
• Comparing the different types of statistical processes.

🤔 Advanced Topic in Math toward Write a Paper on

Just you have passed the trials of basic math, you can removing for to the advanced section. This area includes topology, combinatorics, logic, and computational mathematics. Check out the pick below for enticing topics into write about: Symmetric Presentation of Finite Groups, both Related Topics, Marina Michelle Duchesne. PDF · METER AND INTEGRATION, JeongHwan Lee.

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• What is an abelian group?
• Explain who orbit-stabilizer postulate.
• Discuss something makes the Burnside difficulty influencing.
• What fundamental properties do holomorphic functions have?
• How does Cauchy’s integral theorem leading to Cauchy’s integral formula?
• How do the two Picard theorems relate to each different?
• As is a trigonometric row called a Vierier serial?
• Give an example of an algorithm used for automatic studying.
• Compare aforementioned different types of knapsack problems.
• What is the minimum overlap problem?
• Describing the Bernoulli scheme.
• Give ampere formal definition of the Mandarin dining process.
• Consider the logistic map in relation to chaos.
• Thing do we need the Feigenbaum constants for?
• Define a difference equation.
• Explain the uses of of Fibonacci succession.
• As a and oblivious transfer?
• Compare the Riemann and the Ruelle zeta features.
• How can you use elementary embeddings are model teacher?
• Analyze to problems with the wholeness axiom real Kunen’s inconsistency assumption.
• How is Lie algebra used in engineering?
• Define sundry cases of algebraic cyclical.
• Why do we requirement étale cohomology groups to calculate algebraic curves?
• What does non-Euclidean geometry consist of?
• How can two lines be ultraparallel?

📚 Math Research Topics for a Paper

Choosing of correct topic your crucial for a fortunate research paper to math. It should be tough sufficiency to be compelling, but not exceeding respective liquid out competence. If maybe, stick to your area of my. This way your task will become more manageable. Here are some ideas:

• Write about the history of calculus.
• Wherefore been unsolved math what significant?
• Find basis for the gender gap in math students.
• What are one hardenest mathematical questions asked today?
• Examine the notion of operator spaces.
• Whereby can we design an train timetable for a whole country?
• What molds adenine your big?

• Select can infinite have various product?
• That is the best math-based corporate toward win a game of Go?
• Analyze natural occurrences of random promenades in biology.
• Explain what kind of academics was used in ancient Syria.
• Discuss select the Iwasawa theory relates on modular forms.
• What role do prime phone play in encryption?
• How did the study of mathematics evolve?
• Investigate the different Tower of Hanoi solutions.
• Research Napier’s bones. How ca you use them?
• What be the best mathematical way to find someone who is lose in a maze?
• Untersucht the Roaming Salesman Problem. Can you find adenine new strategy?
• Describing how barcodes function.
• Study some real-life examples of chaos theory. How do you definition them mathematically?
• Contrast the impact of various ground-breaking mathematical equations.
• Research the Seven Bridging concerning Königsberg. Relate the problem to this city of your choice.
• Discuss Fisher’s fundamental theorem by natural selection.
• How will quantum computing work?
• Pick on unsolved math problem and how what builds it so difficult.

✏️ Math Formation Research Topics

For many teachers, the hardest part is into stop the students fascinated. When it happen to math, it can will especially challenging. It’s crucial to make complicated concepts lightly go understand. That’s reasons we need research on math education. Science is one of the first subjects taught at school, because it's used in our newspaper life. Numbers can explain approximately everything! Provided you required a presentation for ...

• Compare traditional methods of learning maths with unconventional ones.
• Instructions can you improve mathematical education in the U.S.?
• Describe types the favorable girls to pursue careers at STEM bin.
• Should computer programming be taught in high school?
• Define the objective of mathematics education.
• Research how to take math more accessible to students with learning disabilities.
• Among what age should children start to practice simple equations?
• Investigate the effectiveness of gamification in algebra types.
• Whichever do students receive from intake part inches mathematics competitions?
• What are the benefits of moving away of standardized testing?
• Describe this causes of “math anxiety.” Wherewith could you overcome it?
• Explanation the social and political relevance of figures education.
• Create the many significant issues in public school math education.
• What is the your way to get kid interes with geometry?
• How can students hone her mathematical thinking outside the classroom?
• Discuss the advantage the through technology in math class.
• In what way does culture influence your calculus education?
• Explore the company of teaching algebra.
• Compare mathematics formation in various land.

• How makes dyscalculia affect one student’s daily life?
• Into which school subjects can math be integrated?
• Has a mathematics degree increased in value over the last few years?
• What are the disadvantages of the Common Core Standardization?
• What are the advantages of following an integrated instructional in calculation?
• Discuss the services of Mathcamp.

🧮 Algebra Our for a Paper

The elegance of algebra stems from his simplicity. It gives us the ability to express complex difficulties in short equations. The world became altered forever when Einstein wrote down the simple formula E=mc². Now, if choose algebra seminar requires you to record a paper, look no further! Here are all glitter prompts:

• Give an example of an induction corroboration.
• What become F-algebras used with?
• Which are number problems?
• Show this meaningfulness of abstract algebra.
• Investigate the peculiarities of Fermat’s last theorem.
• What are the essentials of algebra?
• Explore the bond between algebra additionally geometry.
• Liken the differences between common and noncommutative advanced.
• Why shall Brun’s constant relevant?
• How do you factor quadrats?
• Declaration Descartes’ Default is Signs.
• What is the quadratic recipe?
• Compare the four types is sequences and define yours.
• Explain how partial fractions labor.
• What are logarithms used for?
• Describe the Gaussian elimination.
• What does Cramer’s rule state?
• Explore the difference between eigenvectors and characteristical.
• Analyze one Gram-Schmidt process in two dimensions.
• Explain what is meant by “range” and “domain” in arithmetic.
• What can you execute use determinants?
• Learn about the origin in the distance formula.
• Find the best way to solve calculation word problems.
• Compare the relationships between different systems of equations.
• Explore how the Rubik’s cube relates to group theory.

📏 Geometry Topics for a How Paper

Shape or space been the two staples is geometry. Since seine appearance includes ancient times, it has evolved into adenine major choose of study. Geometry’s of recent addition, total, explores which happens to an object whenever you stretch, shrink, or fold it. Things capacity get pretty freaky from right! The following list contains 25 interesting geometry topics:

• What are the Archimedean solids?
• Find real-life uses for a rhombicosidodecahedron.
• What is studied in projective get?
• Compare the most common types of transformations.
• Explain how acute square triangle works.
• Discuss the Borromean ring configuration.
• Investigate the solutions to Buffon’s needle problem.
• What is unique about correct triangles?

• Describe an notion of Dirac manifolds.
• Comparison who various relationships between wire.
• Something has the Klein bottle?
• How does geometry translate into different disciplines, how as chemical and astrophysics?
• Explore Riemannian manifolds in Euclidean space.
• What can you prove the angle bisector theorem?
• Do a research on M.C. Escher’s use of geometry.
• Find applications for the golden factor.
• Describe the importance of circles.
• Investigate what the aged Greece knew about geometry.
• What shall congruency mean?
• Study the uses for Euler’s formula.
• How do CT scanner relation to geometry?
• How do we must n-dimensional vectors?
• How can you release Heesch’s trouble?
• What are hypercubes?
• Analyze the utilize on advanced in Picasso’s paintings.

➗ Calculus Topics toward Write a Paper on

You can customize calculation as a moreover difficult elementary. It’s a study regarding change over time that provides useful insights into everyday related. Applied tartar are required in a variety of field like as sociology, engineering, or business. Consult this list of compelling topics on a concretion paper:

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• What are the differences between trigonometry, algebra, and calculus?
• Declare and concept of limitations.
• Describe the usual formulas needed for derivatives.
• Wie cannot you find critical points in a graph?
• Evaluate the application of L’Hôpital’s rule.
• How what you define the area between curves?
• What be which foundation of calculator?

• Wherewith will multivariate calculus work?
• Discussing the make of Stokes’ theorem.
• What makes Leibniz’s integral rule state?
• What is and Itô stochastic integral?
• Explore the influence away nonstandard analysis on probabilities theory.
• Research aforementioned ancestry of analytical.
• Who used Mare Gaetana Agnesi?
• Determine a continuous function.
• That will the fundamental theorem of calculus?
• How do you calculate the Taylor series of a function?
• Discuss the ways to resolve Runge’s phenomenon.
• Explained the extreme asset theorem.
• What do wee need predicate calculus on?
• What are linear approximations?
• When does to integral become improper?
• Describe the Percentage and Basis Tests.
• How does the methodology of rings work?
• Where perform we apply calculating in real-life situations?

💵 Business Math Topics to Write About

You don’t have to own a company to appreciate business math. Its topics range from awards and loans into insurance, taxes, and investment. Even if you’re not a mathematician, you can utilize it to handle your finances. Sounds interesting? Then have a look at and following list: Whats is a good topic for a Mathematics how? - Quora

• About are of essential skills needed for economy math?
• How do you calculate interest rates?
• Compare business and consumer math.
• What is adenine discount factor?
• How do you know that an investment is reasonable?
• When does to make senses to pay a loan with another loan?
• Find useful money techniques that everyone can use.
• How can critique passage analysis work?
• Explain how loans work.
• Which areas of work utilize operator research?
• How do businesses use statistics?
• What is to fiscal lot scheduling feature?
• Compare the uses of different chart models.
• What causes a stock market crash?
• Methods can you calculate the net present value?
• Explore the history of revenue managing.
• When go you use multi-period models?
• Explain the implications of reduction.
• Are pension a good participation?
• Would the U.S. financially benefit from discontinuing the penny?
• How caused the United States housing crash int 2008?
• How do you calculate sales tax?
• Describe to conceptions of markups and markdowns.
• Investigate the mathematic behind debt amortization.
• What is the difference betw ampere loan and ampere mortgage?

With all these notions, you are perfectly equipped on your further math paper. Fine luck!

• Thing Is Calculus?: Southern State Church College
• Thing Exists Mathematics?: Tennessee Tech College
• What Is Geometry?: University of Waterloo
• What Is Algebra?: BBC
• Ten Simple Rules for Scientific Writing: Ohio State Colleges
• Practical Algebra Lessons: Purplemath
• Topics in Geometry: Massachusetts Institute of Technologies
• The Geometries Junkyard: All Topics: Steward Brenn School in Information and Computer Sciences
• Calculus I: Lenticular University
• Business Math with Corporate Executive: The Balance Small Shop
• What The Mathematics: Life Science
• What Is Mathematics Education?: Institute of California, Berkeley
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160 Excellent Analysis Essay Topics & Inquiries

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Math Essay Examples and Topics

The importance of geometry in our daily life.

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Leonardo Da Vinci and His Contribution to the Development of Mathematics

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Statistics: Chi-Square Test and Regression Analysis

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Mathematics: Discovered or Created?

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Sofia Kovalevskaya’s Contributions to Math

Problem solving process in mathematics, measurements’ standarts, debate on mathematics: an art or a science.

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History of Algebra Brief Overview

Arthur cayley: life, career, and achievements, reflection on statistics learning goals, mathematical analysis of the pyramid of the louvre.

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Pythagorean Theorem: History, Formula, and Proof

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Fourier Transform: The Behavior of the Image in the Frequency Domain

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Optimizing the Cross Section of a Gutter

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Correlation

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Statistics Abuse: How, Why, and When

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Spatial Modeling: Types, Pros and Cons

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Fundamental Theorem of Calculus in Modern World

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Implicit Differentiation in the Business Sector

Calculus-integration.

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Pizza Box Optimization: Packaging Problem

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The Central Limit Theorem and Its Applications

Number theory and major contributors to the field.

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Fibonacci Sequence and Related Mathematical Concepts

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Pierre de Fermat: One of the Most Prominent Mathematicians

The scientific method isn’t what it used to be.

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Symmetric & Asymmetric algorithms

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Math Teachers’ Beliefs and Attitudes About the Use of Graphics Calculators

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Pythagoras theories.

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P-Value Definition and Role

History of pythagoras theorem.

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History of Calculus: Brief Review One of the Branches of Mathematics

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Real and Complex Numbers

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Leonardo Pisano Fibonacci’s Life and Contributions

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Positive and negative association between variables

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Navigating the Math Maze: A Strategic Policy Framework

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Deduction in Ancient Greece and Egypt

Aspects of the mathematics problem solving.

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The Life Accomplishments of John von Neumann

Report: tow tank statistical analysis.

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Determining the Area of the Isosceles Triangles

Mathematical operations with positive and negative numbers.

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Construction of Regular Polygons: Octagon

A random variable and binomial experiment, evaluating the effectiveness of an instructional design.

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Determining the Strongest Predictors of Kappa Number in Kraft Pulp

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Math Essay Topics that Will Suit Your Taste

Here are some topics that you might find yourself interested in:

• Analysis of Functions and Complex Equations in Fractal Geometry
• Analysis of Topological Concepts in Today’s Mathematics
• An Overview of the Concept of Simultaneous Equations in Mathematics
• A Look at Probability and Its Mathematical Determination
• Understanding the Concept of Quartiles and Its Two Types in Mathematics
• Ancient Advances in Math and Their Impact on Modern Calculating System
• Evolution and Development of Mathematics over the Years
• A Description of Georg Cantor’s Works and His Contributions to the Mathematical Science
• An Analysis of Mathematics in Relation to Biology
• An Introduction to Fractal Geometry
• How to Solve and Check Math Equations
• Spirograph: Interesting Curves
• Distinguishing Knots Through Their Color Polynomials
• Statistical Methods: Calculating the Volumes
• Egyptian Forces and Fractions: Doing Arithmetic
• Plane Tessellations and Its Symmetries
• The Theory of Partitions: General Functions
• Distances of Countries Through Arithmetical Functions
• The Best Way of Calculating the Speed of Operating System of PC
• Legal Permutations on Rubik’s Cube

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Math Extended Essay Topics

Luke MacQuoid

A math extended essay (EE) is a research paper that is written by students who are enrolled in the International Baccalaureate (IB) program as a part of their Diploma. The Extended Essay is self-directed research that aims to provide students with the opportunity to explore a topic of their interest in depth, with a particular focus on the application of math concepts and skills. In order to pass the paper successfully, it is very important to choose the right topic for the Math Extended Essay Topics.

In an Group 5: Mathematics extended essay, students work independently under the guidance of a supervisor to plan and carry out a research project on a math-related topic . This research project should demonstrate the student’s ability to engage in independent research, apply critical thinking and problem-solving skills, and communicate their findings clearly and effectively.

The math extended essay has strict word count in length and should be written in a clear, concise, and formal style, it should also include an introduction, a body of discussion, a conclusion, and a bibliography.

The student is expected to demonstrate the ability to design and conduct a research project, use mathematical concepts and skills to analyze and interpret the data and discuss their findings in the context of relevant mathematical literature.

The math extended essay also allows students to explore a mathematical topic in a way that is not possible in the classroom, it also gives a chance to students to demonstrate their mathematical knowledge and skills and to develop a more global understanding of mathematics.

What’s the Purpose of IB Math Extended Essay?

The purpose of the IB math extended essay is to provide students with the opportunity to engage in independent research and to apply their mathematical knowledge and skills to a topic of their own choosing. The extended essay is designed to give students a chance to explore a topic in depth and to develop the following key skills:

Research skills : Students learn how to design and conduct a research project and how to collect, analyze, and interpret data.

Critical thinking skills : Students learn how to evaluate sources, make a clear and well-supported argument, and solve problems.

Communication skills : Students learn how to write a formal academic paper and how to present their findings and arguments clearly and effectively.

Time management skills:  Students learn how to plan their time effectively and manage their workload.

Subject-specific knowledge : Students get the opportunity to deepen their understanding of a particular area of mathematics and to explore the ways in which mathematical concepts and methods can be applied to solve problems.

The IB Math Extended Essay allows students to research and write about a specific mathematical topic that they find interesting. It also allows students to apply the knowledge and skills they have learned in the classroom to a real-world problem or scenario. 

Completing the extended essay is an important requirement for students to receive the International Baccalaureate Diploma, and it also provides students with the opportunity to develop important research and analytical skills which will be useful in the future, regardless of their chosen career path.

Need help with your IB Math extended essay?

You can also use our extended essay writers team’s services if you need assistance selecting a topic . Furthermore, we can also help you write your IB extended essay from scratch or edit your draft following the IB criteria.

IB Math Extended Essay Topics

An extended essay in mathematics provides students with an opportunity to explore an area of math that interests them in depth. Here are some potential topics for a math extended essay:

• Investigating the properties of a specific mathematical function and its applications.
• Examining the history of a particular mathematical concept or problem
• Investigating the relationship between different branches of mathematics, such as algebra and geometry.
• Investigating the properties and application of geometric shapes in different branches of mathematics.
• Applying mathematical modeling to a real-world problem, such as optimizing logistics or predicting weather patterns.
• Investigating the use of mathematical methods in computer science, such as complexity theory and algorithms.
• Exploring the application of number theory in cryptography and information security
• Investigating the role of statistics in decision-making and forecasting.
• Investigating the use of mathematical logic in Artificial Intelligence and machine learning
• Examining the applications of mathematical methods in the field of engineering and physics, such as fluid dynamics and mechanics.
• Investigating the properties of fractals and their applications in computer graphics and image processing.
• Exploring the concept of infinity and infinitesimals in calculus and their implications in other branches of mathematics.
• Investigating the application of graph theory in network analysis and computer science
• Examining the relationship between topology and other branches of mathematics such as algebra and analysis.
• Investigating the properties of mathematical knots and their applications in physics and biology.
• Exploring the application of game theory in economics and decision making
• Investigating the use of mathematical methods in the field of finance and financial modeling
• Examining the relationship between chaos theory and other areas of mathematics and science
• Investigating the use of mathematical methods in the field of cryptography, such as elliptic curve cryptography.
• Exploring the application of mathematical methods in the study of complexity in natural systems, such as studying the Mandelbrot set in the field of chaos theory.

Remember to check with your teacher or supervisor for guidelines or restrictions and pick a topic that you find interesting and engaging. Also, make sure you have a clear and testable research question as part of the planning and writing process.

Students can use these themes as a starting point for their research and then narrow down their focus to a specific problem or question related to the theme. For example, if a student is interested in investigating the properties of a specific mathematical function, they could begin by researching the history of the function, its key properties, and its applications. 

They could then narrow down their focus to a specific problem or question, such as “How does the shape of the graph of this function change as its parameters are varied?” or “What are the implications of this function’s properties for other areas of mathematics?”

Similarly, if a student is interested in exploring the concept of infinity in calculus, they could begin by researching the history of the concept and its implications in other branches of mathematics. They could then narrow down their focus to a specific question, such as “How does the concept of infinity affect the way we think about limits and continuity in calculus?”

Once a student has a specific problem or question in mind, they can begin to design and conduct their research. This will typically involve collecting data, analyzing it using mathematical methods, and interpreting their findings. They should also read and critically evaluate relevant literature on their topic and use it as a foundation to construct their own arguments.

It’s also important to mention that the research and writing process should be guided by the student’s supervisor and that the student should be able to clearly communicate the research question, methodology, findings, and conclusions in a formal academic paper.

Finally, the extended essay is an opportunity for students to demonstrate their ability to apply mathematical concepts and skills to a real-world problem and to communicate their findings in a clear and effective way, and this can be greatly beneficial for students who wish to pursue further studies or careers in fields related to mathematics and other sciences.

Some Tips to Help You Choose a Relevant Math EE Topic

Choosing a relevant and engaging topic for your math extended essay can be challenging, but by following these tips, you can make the process easier:

Start by identifying your interests: Think about the areas of math that you enjoy and find most interesting. These are likely to be the areas that you will find most engaging to research.

Consider the scope of the topic: Your topic should be narrow enough to be manageable within the 4,000-word limit of the extended essay but broad enough to allow for a thorough investigation.

Look for connections between different areas of mathematics: Often, the most interesting and relevant topics lie at the intersection of different areas of mathematics.

Talk to your supervisor: Your supervisor is a valuable resource and can provide guidance on choosing a relevant and manageable topic. They can also help you refine your research question and give you feedback on your ideas.

Make sure your topic is original: You want your extended essay to be unique and to make a meaningful contribution to the field. Avoid topics that have been extensively researched or that are too similar to other extended essays.

Think about the resources available: Consider whether the resources available to you (books, articles, data, etc.) are sufficient to allow you to conduct the research you want to do.

Consider the audience: Your Extended Essay is read by a group of examiners appointed by the International Baccalaureate, so consider the level of mathematical sophistication of your topic and the language used to communicate it.

Research to find a feasible topic: Once you have some ideas, research them to see if they are feasible, given the time, resources, and supervisor’s expertise you have.

In conclusion,  writing a math extended essay can be a challenging but rewarding experience. The key to success is to choose a relevant and engaging topic that aligns with your interests and allows you to showcase your understanding and skills in mathematics. By considering the tips provided, such as identifying your interests, talking to your supervisor, and making sure your topic is original, you will be able to choose a topic that is both manageable and meaningful. 

One way to ensure the success of their essay is to seek out professional assistance. Professional writers and editors can provide valuable feedback and guidance throughout the research and writing process, helping students to improve their understanding of the topic and to communicate their findings more effectively.

It could be a good idea to consider looking into reputable academic writing services where you can get help with your math extended essay and improve your chances of getting a good grade. They can also help ensure that the paper meets academic standards and requirement. However, always be sure to evaluate the source carefully and do your due diligence, as not all academic writing services are created equal.

Remember that the extended essay is an opportunity to conduct independent research and apply critical thinking and problem-solving skills to a topic of your own choosing. By following a systematic and well-structured approach, you will be able to successfully complete your math extended essay and demonstrate your knowledge and understanding of the subject.

Luke MacQuoid has extensive experience teaching English as a foreign language in Japan, having worked with students of all ages for over 12 years. Currently, he is teaching at the tertiary level. Luke holds a BA from the University of Sussex and an MA in TESOL from Lancaster University, both located in England. As well to his work as an IB Examiner and Master Tutor, Luke also enjoys sharing his experiences and insights with others through writing articles for various websites, including extendedessaywriters.com blog

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100+ Amazing Algebra Topics for Research Papers

Many students seek algebra topics when writing research papers in this mathematical field. Algebra is the study field that entails studying mathematical symbols and rules for their manipulation. Algebra is the unifying thread for most mathematics, including solving elementary equations to learning abstractions like rings, groups, and fields.

In most cases, people use algebra when unsure about the exact numbers. Therefore, they replace those numbers with letters. In business, algebra helps with sales prediction. While many students dislike mathematics, avoiding algebra research paper topics is almost impossible at an advanced study level.

Therefore, this article lists topics to consider when writing a research paper in this academic field. It’s helpful because many learners struggle to find suitable topics when writing research papers in this field.

How to Write Theses on Advanced Algebra Topics

A thesis on an algebra topic is an individual project that the learner writes after investigating and studying a specific idea. Here’s a step-by-step guide for writing a thesis on an algebra topic.

Pick a topic: Start by selecting a title for your algebra thesis. Your topic should relate to your research interests and your supervisor’s guidelines. Investigate your topic: Once you’ve chosen a topic, research it extensively to know the relevant theories, formulas, and texts. Your thesis should be an extension of a particular topic’s analysis and a report on your research. Write the thesis: Once you’ve explored the topic extensively, start writing your paper. Your dissertation should have an abstract, an introduction, the body, and a conclusion.

The abstract should summarise your thesis’ aims, scope, and conclusions. The introduction should introduce the topic, size, and significance while providing relevant literature and outlining the logical structure. The body should have several chapters with details and proofs of numerical implementations, while the conclusion should restate your main arguments and tell readers the effects. Also, it should suggest future work.

College Algebra Topics

You may need topics to consider if you’re in college and want to write an algebra research paper. Here’s a list of titles worth considering for your essay.

• Exploring the relationship between Rubik’s cube and the group theory
• Comparing the relationship between various equation systems
• Finding the most appropriate way to solve mathematical word problems
• Investigating the distance formula and its origin
• Exploring the things you can achieve with determinants
• Explaining what “domain” and “range” mean in algebra
• A two-dimension analysis of the Gram-Schmidt process
• Exploring the differences between eigenvalues and eigenvectors
• What the Cramer’s rule states, and why does it matter
• Describing the Gaussian elimination
• Provide an induction-proof example
• Describe the uses of F-algebras
• Understanding the number problems in algebra
• What’s the essence of abstract algebra?
• Investigating Fermat’s last theorem peculiarities
• Exploring the algebra essentials
• Investigating the relationship between geometry and algebra

These are exciting topics in college algebra. However, writing a winning paper about any of them requires careful research and analysis. Therefore, prepare to spend sufficient time working on any of these titles.

Cool Topics in Algebra

Perhaps, you want to write about an excellent topic in this mathematical field. If so, consider the following ideas for your algebra paper.

• Discussing a differential equation with illustrations
• Describing and analysing the Noetherian ring
• Explain the commutative ring from an algebra viewpoint
• Describe the Artin-Weddderburn theorem
• Studying the Jacobson density theorem
• Describe the four properties of any binary operation from an algebra viewpoint
• A detailed analysis of the unary operator
• Analysing the Abel-Ruffini theorem
• Monomorphisms versus Epimorphisms: Contrast and comparison
• Discus Morita duality with algebraic structures in mind
• Nilpotent versus Idempotent in Ring theory

Pick any idea from this list and develop it into a research topic. Your educator will love your paper and award you a good grade if you research it and write an informative essay.

Linear Algebra Topics

Linear algebra covers vector spaces and the linear mapping between them. Linear equation systems have unknowns, and mathematicians use vectors and matrices to represent them. Here are exciting topics in linear algebra to consider for your research paper.

• Decomposition of singular value
• Investigating linear independence and dependence
• Exploring projections in linear algebra
• What are linear transformations in linear algebra?
• Describe positive definite matrices
• What are orthogonal matrices?
• Describe Euclidean vector spaces with examples
• Explain how you can solve equation systems with matrices
• Determinants versus matrix inverses
• Describe mathematical operations using matrices
• Functional analysis of linear algebra
• Exploring linear algebra and its fundamentals

These are some of the exciting project topics in linear algebra. Nevertheless, prepare sufficient resources and time to investigate any of these titles to write a winning paper.

Pre Algebra Topics

Are you interested in a pre-algebra research topic? If so, this category has some of the most exciting ideas to explore.

• Investigating the importance of pre-algebra
• The best way to start pre-algebra for a beginner
• Pre-algebra and algebra- Which is the hardest and why?
• Core lessons in pre-algebra
• What follows pre-algebra?
• The first things to learn in pre-algebra
• Investigating the standard form in pre-algebra
• Provide pre-algebra examples using the basic rules to evaluate expressions
• Differentiate pre-algebra and algebra
• Describe five pre-algebra formulas

Consider exploring any of these ideas if you’re interested in pre-algebra. Nevertheless, choose a title you’re comfortable with to develop a winning paper.

Intermediate Algebra Topics for Research

Perhaps, you’re interested in intermediate algebra. If so, consider any of these ideas for your research paper.

• Reviewing absolute value and real numbers
• Investigating real numbers’ operations
• Exploring the cube and square roots of real numbers
• Analysing algebraic formulas and expressions
• What are the rules of scientific notation and exponents?
• How to solve a linear inequality with a single variable
• Exploring relations, functions, and graphics from an algebraic viewpoint
• Investigating linear systems with two variables and solutions
• How to solve a linear system with two variables
• Exploring linear systems applications with two variables
• How to solve a linear system with three variables
• Gaussian elimination and matrices
• How to simplify a radical expression
• How to add and subtract a radical expression
• How to multiply and divide a radical expression
• How to extract a square root and complete the square
• Investigating quadratic functions and graphs
• How to solve a polynomial and rational inequality
• How to solve logarithmic and exponential equations
• Exploring arithmetic series and sequences

These are exciting topics in intermediate algebra to consider for research papers. Nevertheless, learners should prepare to solve equations in their work.

Algebra Topics High School Students Can Explore

Are you in high school and want to explore algebra? If yes, consider these topics for your research, they could be a great coursework help to you.

• Crucial principles and formulas to embrace when solving a matrix
• Ways to create charts on a firm’s financial analysis for the past five years
• How to find solutions to finance and mathematical gaps
• Ways to solve linear equations
• What is a linear equation- Provide examples
• Describe the substitution and elimination methods for solving equations
• How to solve logarithmic equations
• What are partial fractions?
• Describe linear inequalities with examples
• How to solve a quadratic equation by factoring
• How to solve a quadratic equation by formula
• How to solve a quadratic equation with a square completion method
• How to frame a worksheet for a quadratic equation
• Explain the relationship between roots and coefficients
• Describe rational expressions and ways to simplify them
• Describe a cubic equation roots
• What is the greatest common factor- Provide examples
• What is the least common multiple- Provide examples
• Describe the remainder theorem with examples

Explore any of these titles for your high school paper. However, pick a title you’re comfortable working with from the beginning to the end to make your work easier.

Advanced Topics in Algebra and Geometry

Maybe you want to explore something more advanced in your paper. In that case, the following list has advanced topics in geometry and algebra worth considering.

• Arithmetical structures and their algorithmic aspects
• Fractional thermoentropy spaces in topological quantum fields
• Fractional thermoentripy spaces in large-scale systems
• Eigenpoints configurations
• Investigating the higher dimension aperiodic domino problem
• Exploring math anxiety, executive functions, and math performance
• Coherent quantiles and lifting elements
• Absolute values extension on two subfields
• Reviewing the laws of form and Majorana fermions
• Studying the specialisation and rational maps degree
• Investigating mathematical-pedagogical knowledge of prospective teachers in ECD programs
• The adeles I model theory
• Exploring logarithmic vector fields, arrangements, and divisors’ freeness
• How to reconstruct curves from Hodge classes
• Investigating Eigen points configuration

These are advanced topics in algebra and geometry worth investigating. However, please prepare to explore your topic extensively to write a strong essay.

Abstract Algebra Topics

Most people study abstract algebra in college. If you’re interested in research in this area, consider these topics for your project.

• Describe abstract algebra applications
• Why is abstract algebra essential?
• Describe ring theory and its application
• What is group theory, and why does it matter?
• Describe the critical conceptual algebra levels
• Describe the fundamental theorem of the finite Abelian groups
• Describe Sylow’s theorems
• What is Polya counting?
• Describe the RSA algorithm
• What are the homomorphisms and ideals of Rings?
• Describe integral domains and factorisation
• Describe Boolean algebra and its importance
• State and explain Cauchy’s Theorem- Why is it important?

This algebra topics list is not exhaustive. You can find more ideas worth exploring in your project. Nevertheless, pick an idea you will work with comfortably to deliver a winning paper.

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Mathematics Extended Essay Topics for IB

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Ever felt the exhilaration that comes with cracking a complex math problem? That’s the sheer beauty of mathematics – it’s a world where numbers dance, patterns emerge, and solutions await the keen observer. Felt that? Hah?

Now, imagine channeling that same enthusiasm and zest into your Math Extended essay. It might sound like a challenge, but isn’t that what we thrive on? With the right Math EE topic, you can showcase your mathematical prowess and leave an indelible mark on your IB evaluators following the general criteria. 

To help you with that, I’ve curated a list of Math extended essay ideas that span the spectrum from the accessible to the intricate. 

So, let’s begin.

IB Math extended essay ideas

These aren’t just topics; they’re gateways to exploration, understanding, and innovation. 

Ready to get started?

Easy-to-approach topics

For those looking for a gentler introduction to the Math Extended essay, below is a list of 10 engaging and manageable IB Math EE topic ideas, each with a research question and a brief description on how to approach it:

Patterns in Pascal’s Triangle

Research Question: 

How do patterns emerge in Pascal’s Triangle?

Description: 

Begin with the construction of Pascal’s Triangle, then delve into the exploration of its patterns, such as triangular numbers and the Fibonacci sequence.

Mathematics of Voting Systems

How do different voting systems weigh individual votes mathematically?

Introduce various voting systems, then analyze the mathematical principles behind each, discussing fairness and potential biases.

Geometry in Art

Research Question:  

How is geometry used to create visual appeal in art?

Explore various art pieces, highlighting the geometric principles employed, and discuss their impact on aesthetics.

The Math Behind Baking

How do ratios in baking recipes affect the final product?

Investigate the importance of maintaining specific ratios in baking recipes and experiment with variations to observe changes in outcomes.

Probability in Card Games

How does understanding probability enhance success in card games like Poker?

Delve into the rules of Poker and then analyze various hands and scenarios using probability principles.

Symmetry in Nature

How is symmetry exhibited in natural formations?

Explore the concept of symmetry mathematically and then identify and analyze its presence in various natural formations like leaves, flowers, and animals.

Mathematics of Music

How do mathematical patterns influence musical scales and rhythms?

Investigate the structure of musical scales, rhythms, and time signatures, highlighting the underlying mathematical patterns.

Simple Interest vs. Compound Interest

How do simple and compound interest methods impact savings over time?

Define both interest methods and then use mathematical modeling to compare their effects on savings over various periods.

The Golden Ratio in Architecture

How is the Golden Ratio applied in iconic architectural designs?

Introduce the concept of the Golden Ratio and then analyze its application in various famous architectural structures.

Mathematics of Juggling

How do mathematical patterns and sequences dictate juggling techniques?

Explore basic juggling techniques and patterns, analyzing the mathematical sequences that jugglers use to maintain rhythm and control.

Each of these topic ideas and RQs is approachable yet offers ample scope for exploration and analysis within the realm of mathematics.

Intermediate topics

For those seeking a bit more challenge without diving into the deep end, the topics below offer a balanced blend of complexity and accessibility.

Here’s a list of 10 average-difficulty IB Math Extended essay topics, each with a research question and a brief description of how to approach it:

Game Theory in Economics

How does game theory provide insights into competitive market behaviors?

Introduce game theory principles and use business world case studies to show strategic decision-making influenced by game theory.

Fractals and Nature

How do fractal patterns manifest in natural phenomena?

Description:  

Delve into the mathematical concept of fractals and explore their appearance in various natural settings, such as coastlines, mountains, and plants.

Mathematics of Population Growth Models

How do mathematical models accurately predict population growth in urban areas?

Introduce population growth models and use real urban area data to validate these models, discussing influencing factors.

Cryptography and Internet Security

How do modern cryptographic techniques ensure data security on the internet?

Explore the evolution of cryptography, focusing on modern techniques, and discuss their role in ensuring data security in online transactions.

Mathematical Modeling of Epidemics

How can mathematical models predict the spread of infectious diseases?

Introduce basic epidemiological models and analyze their effectiveness in predicting disease spread using real-world data.

Topology and Coffee Cups

How does topology explain the mathematical similarity between a coffee cup and a donut?

Dive into the basics of topology and use it to explain the often-cited comparison between coffee cups and donuts, emphasizing the concept of homeomorphism.

Chaos Theory and Weather Forecasting

How does chaos theory impact the accuracy of long-term weather forecasts?

Introduce chaos theory, then delve into its application in meteorology, discussing the challenges and limitations in predicting weather.

Mathematics Behind Neural Networks

How do mathematical algorithms drive the functioning of neural networks in artificial intelligence?

Explore the structure of neural networks and delve into the mathematical algorithms that enable their learning and functioning.

Optimization Problems in Logistics

How can mathematical optimization improve efficiency in supply chain logistics?

Investigate real-world logistics challenges and demonstrate how mathematical optimization techniques can offer solutions.

Number Theory in Modern Cryptography

How does advanced number theory underpin modern cryptographic techniques?

Delve into number theory concepts and their application in modern cryptographic methods, emphasizing their role in ensuring data security.

These topics and research questions offer a balanced blend of complexity and accessibility, making them suitable for students seeking a moderate challenge in their Math Extended essay.

Advanced topics (with potential for higher rewards)

For the brave hearts ready to dive deep, these topics are challenging but can yield impressive results when tackled effectively.

The list of 10 challenging IB Math Extended essay ideas, each with a research question and a brief description:

Navier–Stokes Existence and Smoothness

What are the mathematical implications of the unsolved Navier–Stokes existence and smoothness problem in fluid dynamics?

Delve deep into the Navier–Stokes equations, exploring their significance in fluid dynamics and the challenges surrounding their unsolved problems.

Riemann Hypothesis and Prime Numbers

How does the Riemann Hypothesis relate to the distribution of prime numbers?

Investigate the Riemann Hypothesis, its historical context, and its profound implications for the distribution of prime numbers.

Quantum Cryptography and Key Distribution

How does quantum cryptography enhance security in key distribution?

Explore the principles of quantum mechanics applied to cryptography, focusing on the advantages and challenges of quantum key distribution.

Elliptic Curves and Cryptography

How do elliptic curves underpin modern cryptographic techniques?

Dive into the mathematics of elliptic curves and their pivotal role in modern cryptographic algorithms.

Four Color Theorem and Graph Theory

How does the Four Color Theorem demonstrate the complexities of graph coloring?

Investigate the history and proof of the Four Color Theorem, discussing its implications and challenges in graph theory.

Complex Analysis in Quantum Mechanics

How does complex analysis influence the mathematical foundations of quantum mechanics?

Delve into the principles of complex analysis and explore their applications and significance in quantum mechanics.

Twin Prime Conjecture

What are the implications and challenges of the Twin Prime Conjecture in number theory?

Investigate the Twin Prime Conjecture, its history, and its significance in the realm of number theory.

Knot Theory and DNA Replication

How does knot theory provide insights into the process of DNA replication?

Explore the mathematical intricacies of knot theory and its applications in understanding the complexities of DNA replication.

Ergodic Theory and Thermodynamics

How does ergodic theory connect with the principles of statistical thermodynamics?

Dive deep into ergodic theory, exploring its foundational concepts and its connections to statistical thermodynamics.

Langlands Program and Number Theory

What is the Langlands Program, and how does it seek to unify different areas of mathematics?

Investigate the Langlands Program, its objectives, and its profound implications in unifying disparate areas of mathematics, particularly number theory.

These topics are undoubtedly challenging but can yield impressive results when tackled effectively. They offer a deep dive into complex mathematical concepts and theories, making them ideal for students aiming for the highest grades in their Math Extended essay.

Get extended essay help

Before continuing to the next block, I suggest our Math EE writing or editing services . Our company has been working with numerous IB students and helped them write custom IB extended essays.

Join a team of happy IB students who have followed the IB extended essay rubric and criteria and gained better results with Writing Metier and our Math assignments help !

Overused Math EE topics (proceed with caution)

While these topics are popular, they’ve been explored extensively. If you choose one, ensure you bring a fresh perspective:

• The Fibonacci Sequence in Nature.
• Pi and its Mysteries.
• The Monty Hall Problem.
• The Birthday Paradox.
• Exploring Pascal’s Triangle.
• The Mathematics of the Pyramids.
• The Tower of Hanoi Problem.
• Benford’s Law.
• The Four Color Theorem.
• The Mathematics of the Rubik’s Cube.

Keep in mind that selecting such a topic will require hard work to find a new custom angle of research and sometimes might not lead to higher grades .

In Conclusion

Alright, IB champs, that wraps up our curated selection of Math EE topics, each with its unique flavor and challenge. The topic is just the starting point. The real magic happens when you infuse it with your insights, analysis, and unique perspective. 

Mathematics isn’t just about numbers; it’s about stories and trips within the confines of equations and graphs. As you gear up to tackle your Extended essay, keep that passion alive, keep questioning, and most importantly, enjoy the process. 

Don’t forget to reserve extra space because it may take time to write an extended essay . And if you’re ever in doubt, remember that Writing Metier is here to guide you through every step of the process.

Free topic suggestions

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Vasyl Kafidoff is a co-founder and CEO at WritingMetier. He is interested in education and how modern technology makes it more accessible. He wants to bring awareness about new learning possibilities as an educational specialist. When Vasy is not working, he’s found behind a drum kit.

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Top 100 Math Essay Topics for Students

Sep 2, 2021 | 0 comments

Sep 2, 2021 | Topics | 0 comments

Math is a science that deals with the logic of numbers, quantities, arrangements, and shapes. Although math doesn’t deal much with words, students in high schools and colleges are sometimes required to write essays. Students often wonder why they have to write math essays. Still, essentially this allows them an opportunity to discover how mathematics intersects into their lives and others around us. Many people struggle coming up with topics which is why we want to help you find your inspiration! As you scroll down, you will find some interesting math essay topics . These ideas are not only engaging but illuminating too! We took our time to gather the best possible essays for students so that they don’t end up in a stressful situation at school. Topics from popular and unpopular mathematics are also included below-you can be confident of your success if you choose one here!

Top Math Essay Topics

• How game developers apply the knowledge of Math
• Are Asians More Proficient in Math Than the Rest of the World?
• My Experience As a Student of Math
• Why the society can’t exist without the knowledge of Math
• Math and everyday life
• The Math in Volleyball
• History of Math Education in The World
• Math And The Past Years
• School Of Math And Science
• How To Build Math Skills
• Teaching Math Beyond Everyday Math
• Is Classroom Enough For Learning Math?
• Beyond Pythagoras Math Investigation
• The best way to approach a math problem
• Japan vs. The United States in Math and Science
• How to become proficient in Math
• My Job As A Math Teacher
• Math Problems For Extra Credit
• The importance of geometry to the physical world
• Math And Technology Applications
• Math And Verbal Sections
• The importance of math in the construction industry
• Do I Have A Math Phobia?
• The math in nature
• Why Should Schools Require Math?
• Trigonometry in Daily Life
• Math Hidden Faces Investigation
• Impressions Of An Average Student About Math
• The Dynamics Of Math
• Maths Is Everywhere
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How to write a Math Extended Essay [2022 Ultimate Guideline]

• Table of Contents

Extended Essay Outline. 4

How do you start an extended essay?. 5

Selecting a Math EE Topic. 5

Math extended essay topic examples and ideas. 5

Does an extended essay in math have to include tough mathematical concepts?. 6

What has been your past experience doing an extended essay in math HL? What advice do you have?  6

How do I choose a math topic, EE?. 7

Tips for writing a Math Extended Essay. 8

Step by Step process of writing a Math IB extended essay?. 9

Introduction. 9

Methodology. 10

Historiography analysis. 11

Arguments. 11

Conclusion. 13

Presentation and formatting. 13

What are good topics for IB math EE?. 14

Essay titles that have proved successful include: (these may give you an idea for your . 14

It is a 4000-word research essay that is required for you to get the Diploma.

Mathematics Extended Essays generally try to verify a particular result or find new developments, which is very rare. An example of a title could be How Fundamentals of Number Theory Facilitate Public-Key Cryptography through the RSA Cryptosystem.

Some elements are similar to all EEs, including the abstract, introduction, conclusion, and formal components. Each element has a distinct criterion and is a quick way to get around 10 of the 36 points.

Extended Essay Outline

Introduction.

• Bibliography

Each piece has a distinct criterion and is a quick way to get around 10 of the 36 points.

If Mathematics is not ideal for you, here are guides on subjects such as history and English.

How do you start an extended essay?

When making a point, don’t forget to discuss it as completely as you can. Do your research and provide instances and sources. Don’t presume the reader is aware of what you are talking about.

Additionally, make an effort to take breaks between writing sessions so you may step back and read what you’ve written with “fresh” eyes.

Selecting a Math EE Topic

Since most students (including myself) struggle to come up with topics for their extended essays because they think they must involve “challenging concepts,” it is crucial to recognize that the Math EE is more about working on an out-of-syllabus topic that does not require too tricky concepts.

I’d advise starting with the subjects you find interesting and developing a solid mathematical foundation from there. This concept is particularly thought-provoking because it’s challenging to think of.

Examining the university curriculum for the desired major is a better solution. Select a subject from their first-year classes if you decide you want to study mathematics in college after all.

This should fulfil all of IB’s requirements, give you a head start on university work, and give you a sense of how challenging university work might be.

Math extended essay topic examples and ideas.

Your extended essays could be based upon a mathematics Olympiad question. You can have a topic answering an IMO problem. One can be about geometry and the other about number theory. You can create a title from topics such as

• Golden ratio, Fibonacci sequence (but mind you, it’s a prevalent theme)
• Harmonic series
• Taylor series     
• Linear optimization

People primarily use the game theory to forecast it, although functions are also an option. Calculus could be used to model a function and then analyze it.

To properly get into calculus, use the Taylor or Fourier series. Although you need to find something other than utilizing the first derivative for detecting maximums and the second derivative for inflection points and convection, you may generate forecasts or examine trends over a given period.

Vector fields are a different choice that is a bit controversial. Despite having a vector-based foundation, they are pretty fascinating, and the operations relating to these fields involve a lot of calculus.

You’ll discover how to find the gradient, divergence, or rotational field using partial derivatives. Additionally, these fields can be utilized to simulate phenomena like wind speed and direction.

You can use calculus on pretty much anything that includes a function or has time as a variable (rates of change), but for your work to be instrumental, you need something far more complex than simple derivatives.

Does an extended essay in math have to include tough mathematical concepts?

Nobody wants you to find a solution to a Millennium Problem. If you did that, you’d be wealthy and well-known, but let’s ignore that.

Since most students (including myself) struggle to come up with topics for their extended essays because they think they must involve “challenging concepts,” it is crucial to recognize that the Math EE focuses more on concentrating on an out-of-syllabus subject that does not require too difficult concepts.

Examining the university curriculum for the desired major is a better solution. Pick a subject from their first-year classes if, in the end, you wish to study mathematics in college.

This will almost likely meet all of IB’s requirements, give you a jumpstart on university work, and give you a sense of how challenging university work might be.

What has been your past experience doing an extended essay in math HL? What advice do you have?

I would advise you to pick a topic you’re interested in—math, English, physics, etc. I would assume that it’s probably the first time you’ve written a 4000-word research paper.

Find guidance, plan out—with a written-out schedule or timeline if needed—your progress before submission, and try to enjoy the process.

It’s pretty generic advice, but it’s true. I think no matter what topic you choose, with the work ethics you’ve developed thus far, you can write an EE on any topic, but it might help to write on something you’re interested in.

And it’s probably one of the more college-like things you’ll do in high school!

How do I choose a math topic, EE?

The EE need not be limited to the theory of mathematics; it may be written on any subject with a mathematical bent.

In addition to choosing topics from mathematics itself, students can also choose topics from disciplines like engineering, the sciences, or the social sciences.

Tips for writing a Math Extended Essay

Please pick a subject that grabs the attention that you like, research it, and then share what you learn in the essay. You can get up to three points toward your degree by earning an A in your extended essay and Theory of Knowledge, which is half what you would hope to obtain on any of the six exams you must take.

If you want to receive a high score on your history EE, try to present a diversity of perspectives in your essay.

This illustrates the depth of your thought process and the fact that you considered competing viewpoints before reaching a conclusion.

Here are some tips to consider when writing your essay; also, read more on the mistakes you should avoid when writing the essay.

Step by Step process of writing a Math IB extended essay?

Ask a thoughtful question. Learning how to frame a scientific question properly is difficult, particularly so early in your academic career as high school.

However, given that the IB curriculum emphasises helping students improve their inquiry skills, four years of International Baccalaureate (IB) instruction should have equipped you with the tools you need to formulate a sound question.

Discuss your difficulties with your professors and fellow students and receive their opinions.

Now, consider the following advice:

• a) Within the field of interest, what are you most curious to learn more about? Do you have any queries or believe you need additional information on the topic you are keen to know more about? Is there a subject that interests you that you may use to guide your future career while you plan for university programs?
• b) Once you have settled on a particular topic about which you are interested in learning more, conduct a fast search to check if the historical literature has already offered a sufficient response. Conduct a fast and quick assessment of history textbooks and research the secondary literature on Google Scholar to find out what’s already been known about this problem.
• Ascertain whether the studied sources provide a precise, reliable, and valid answer to the question. Do you think, for example, that the secondary sources and the textbook sufficiently handled the issue? Are there any areas of knowledge that need more research? Are there any biases or misrepresentations in the primary and secondary sources that would have lowered the credibility of the response, given that your research question might shed some light on?
• Create a question that could guide your further research and analysis of this topic if you identify a need for extra investigation due to knowledge gaps in the literature or questionable sources for the solutions provided. Summarize your work

The opening paragraph of a successful extended essay should discuss how skillfully the question was crafted and why it is important. Show the examiner what is already known about the subject in the body of published studies and what fresh understanding and information your question will add to the canon of historical writing.

Remember to provide due credit to any primary or secondary materials (textbooks, Google Scholar articles, etc.) you utilized to investigate the state of knowledge on the subject.

Methodology

Make a scientific strategy to answer your query. After the question has been adequately answered in an extended essay, the author’s approach to responding to the question must be discussed.

You must outline your process so that the examiners may perform a comparable search and get the same results for them to assess the validity of your findings.

This is an important stage in science to ensure the reliability of your findings. Here are some guidelines to assist you in creating the methodology:

Ask about the trustworthy sources that deal with the topic of your inquiry. You might consult a university librarian, a local public library, or even one of the history teachers for help with this stage.

Create a list of the scholars with the best reputations and the works they published on the subject you are interested in. Identify each scholar and then explain why their name or the name of their text is an important source for your investigation.

Use Google Scholar to look through every paper written by a scholar that tries to address the question. You will have to cite your search phrases in your extended essay, so maintain a record of them.

After that, download a text that is relevant to your query. If you go to a public or academic library, you can read the books without paying anything.

List the resources you have found and indicate beside each one why it is important to your inquiry.

To answer your question, decide if you need to consult any primary sources, such as a government document, journalistic accounts of the events, official interviews held in front of a public audience, first-person accounts of the actions by historians or regular people, etc.

Search for these resources online, at your neighborhood library, or in a library at a university. Create a list of the materials you’ve found and explain why each one is important to your investigation next to each one.

Briefly describe how you searched for your resources inside the body of your lengthy essay.

Your approach ought to be stated scientifically, making it easy to replicate so that the examiner feels confident they could reproduce your study and find the very same sources.

Don’t forget to describe how you found the trustworthy secondary sources, the Google Scholar search phrases you used to find further secondary sources, and the procedures you followed to find primary sources.

Historiography analysis

A thorough analysis of your sources should follow the description of your method. Assess any prejudice, distortion, etc. by analyzing the historiography of both secondary and primary sources.

Summarize the findings of the historiography analysis in the extended essay’s body, citing significant secondary and primary sources especially to show their reliability as sources.

It is a smart idea to incorporate an in-depth analysis of the crucial sources (either primary or secondary) that you will rely on most to address your point, in addition to the thorough survey historiography analysis of all your sources.

Continue your historiography study by providing a thorough response to the question you presented in part 1.

a. Critically respond to the query you made in part 1 with several supporting points.

To begin, thoroughly read your main and secondary sources. After reading each source, summarise the most important details it contains for you, answering your question on a separate piece of paper.

Using this technique, you may begin to lay out what the other source has to say regarding the subject you have posed. Using this method will also make it simple to properly reference primary and secondary sources when developing your history extended essay ideas.

b When you evaluate each source, consider the importance and worth of the data it provides based on your assessment of its lack of bias and distortion in the historiography research you conducted in section 3.

c. After that, utilise the information you have acquired from the sources, look for long-term trends uniformly true across all the sources and indicate a suitable answer to your question.

The scientific phrase for this is identifying the signal among the noise. The signal for the right response can be detected within the background noise of lies (distortions, biases, gaps in knowledge, etc.).

Once you have determined the pattern of sincere responses to your question, develop the main arguments that will help offset the explanation in point 1.

For each of your argument points, cite the relevant primary or secondary sources that you used to support your position.

The essay’s body, should be organized as a rational argument.  This can take many different forms depending on the essay’s topic. Still, as the argument is developed, it should be apparent to the reader what pertinent evidence has been found, where/how it has been found, and how it supports the argument.

Subheadings within the main body of the essay will aid the reader in understanding the argument in some disciplines, such as the sciences (and will also help the student to keep on track).

Students must structure their extended essays according to the accepted standards of the subject they are registered for.

Once the essay’s main body is complete, it is possible to finalize the introduction (which tells the reader what to expect) and the conclusion (which says what has been achieved, including notes of any limitations and questions that have not been resolved).

Appendices, footnotes/endnotes, and other information that is crucial to the argument should not be used as supporting information. The examiner won’t read notes and appendices, therefore an essay that isn’t finished on its own will be graded lower overall.

Each argument point should be written in a paragraph and included in the body of your lengthy essay.

• Condense your main points of contention in a thesis statement. The thesis statement needs to be expressed as follows: I’ll argue that XYZ is the right response to the query based on Arguments 1, 2, 3, and so on.
• Based on how many arguments you have created). The body of your extended essay should contain both the thesis statement and an introduction to the question you addressed in point 1.
• In scientific studies, the thesis statement serves as the reader’s road map while they read the article. It outlines how you will persuade the reader that the proposed solution is accurate by giving a methodical and trustworthy description of how you arrived at the conclusion (the methodology) and what credible evidence you have found to support the truthfulness of the response (historiography analysis) (the argument points).

You should restate your thesis statement, which was stated following your part 1 introduction to the question, in the conclusion.

If there were any shortcomings in your approach, knowledge, or understanding of the topic that kept you from providing a complete response in the lengthy essay, explain them in your conclusion and explain why.

This will make it easier for other researchers to revise and build on your response. Additionally, it will help the examiner understand how honest your response is.

Additionally, it demonstrates to the examiner that you are a competent, experienced researcher dedicated to the scientific goal of acquiring precise knowledge and conscious of their shortcomings in communicating that knowledge.

In your conclusion, make recommendations for further study on your question. What else about your inquiry and response do we need to know? What else should future research be focused on?

This demonstrates to the examiner that you are aware of your affiliation with the scientific community and that investigation is a team effort that necessitates understanding.

Explain how the knowledge presented in your lengthy essay may be applied to improve society in your conclusion.

What immediate steps can you take to promote enterprises, organizations, governments, industries, research, technology, etc. using the knowledge you have gained?

This will show that you are a socially responsible student interested in using science to enhance society.

Presentation and formatting

1. When you’re finished with your extended essay, ensure it is clearly presented and easy to read.

2. On the cover page, include the title, author’s name, and word count. Think about including a succinct visual representation of your subject.

3. Add a page number to each page.

4. Describe the document’s contents.

5. Write an abstract of approximately 250 words that includes your thesis statement, your question, why it is important and relevant, a description of your methodology, a synopsis of your historical research, a description of your points of disagreement, and a synopsis of your findings. Add the abstract after the table of contents.

Give the segments of the extended essay—including the abstract, introduction, mythology section, historiography section, arguments section, and conclusion, references, and appendix— clear titles to make them easier to read.

At the conclusion of the essay, identify all of your sources. Make sure your sources are properly credited and formatted in accordance with a standardized way in the text’s body.

Ensure that your reference list is properly formatted and adheres to a standard format.

A source, a caption, a number, and a title should all be included with tables, images, and graphs.

Tables, pictures, and graphs should all be cited inside the body of the long essay.

The caption should accurately explain the picture and highlight for the reader the key details they should infer after looking at it.

If necessary, add an appendix after the references.

Remember that when selecting the topic it is important that you first search if you will have adequate data. Also, consult with your supervisor if you have any problems.

Also, read our article on tips and guidelines for writing your Math Extended Essay .

Further, we have listed some Math EE-specific topics  that will help you develop a stellar essay.

Call-to-Action

We also have other guidelines for writing extended essays on different subjects, so check out our blog.

Also, if it seems too much of a hustle to write your essay, you can contact us at [email protected] , and we’ll come up with a topic, research question, and approach for you.

Talk to us today.

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Extended Essay: Group 5: Mathematics

• General Timeline
• Group 1: English Language and Literature
• Group 2: Language Acquisition
• Group 3: Individuals and Societies
• Group 4: Sciences
• Group 5: Mathematics
• Group 6: The Arts
• Interdisciplinary essays
• Brainstorming
• Pre-Writing
• Research Techniques
• The Research Question
• Paraphrasing, Summarising and Quotations
• Writing an EE Introduction
• Writing the main body of your EE
• Writing your EE Conclusion
• Six sub-categories for WSEE
• IB Interdisciplinary EE Assessment Guide
• Sources: Finding, Organising and Evaluating Them
• Conducting Interviews and Surveys
• Citing and Referencing
• Check-in Sessions
• First Formal Reflection
• Second Formal Reflection
• Final Reflection (Viva Voce)
• Researcher's Reflection Space (RRS) Examples
• Information for Supervisors
• How is the EE Graded?
• EE Online Resources
• Stavanger Public Library
• Exemplar Essays
• Extended Essay Presentations
• ISS High School Academic Honesty Policy

Mathematics

An extended essay (EE) in mathematics is intended for students who are writing on any topic that has a mathematical focus and it need not be confined to the theory of mathematics itself.

Essays in this group are divided into six categories:

• the applicability of mathematics to solve both real and abstract problems
• the beauty of mathematics—eg geometry or fractal theory
• the elegance of mathematics in the proving of theorems—eg number theory
• the history of mathematics: the origin and subsequent development of a branch of mathematics over a period of time, measured in tens, hundreds or thousands of years
• the effect of technology on mathematics:
• in forging links between different branches of mathematics,
• or in bringing about a new branch of mathematics, or causing a particular branch to flourish.

These are just some of the many different ways that mathematics can be enjoyable or useful, or, as in many cases, both.

For an Introduction in a Mathematics EE look HERE . 

Choice of topic

The EE may be written on any topic that has a mathematical focus and it need not be confined to the theory of mathematics itself.

Students may choose mathematical topics from fields such as engineering, the sciences or the social sciences, as well as from mathematics itself.

Statistical analyses of experimental results taken from other subject areas are also acceptable, provided that they focus on the modeling process and discuss the limitations of the results; such essays should not include extensive non-mathematical detail.

A topic selected from the history of mathematics may also be appropriate, provided that a clear line of mathematical development is demonstrated. Concentration on the lives of, or personal rivalries between, mathematicians would be irrelevant and would not score highly on the assessment criteria.

It should be noted that the assessment criteria give credit for the nature of the investigation and for the extent that reasoned arguments are applied to an appropriate research question.

Students should avoid choosing a topic that gives rise to a trivial research question or one that is not sufficiently focused to allow appropriate treatment within the requirements of the EE.

Students will normally be expected either to extend their knowledge beyond that encountered in the Diploma Programme mathematics course they are studying or to apply techniques used in their mathematics course to modeling in an appropriately chosen topic.

However, it is very important to remember that it is an essay that is being written, not a research paper for a journal of advanced mathematics, and no result, however impressive, should be quoted without evidence of the student’s real understanding of it.

Example and Treatment of Topic

Examples of topics

These examples are just for guidance. Students must ensure their choice of topic is focused (left-hand column) rather than broad (right-hand column

Treatment of the topic

Whatever the title of the EE, students must apply good mathematical practice that is relevant to the

chosen topic, including:

• data analysed using appropriate techniques

• arguments correctly reasoned

• situations modeled using correct methodology

• problems clearly stated and techniques at the correct level of sophistication applied to their solution.

Research methods

Students must be advised that mathematical research is a long-term and open-ended exploration of a set of related mathematical problems that are based on personal observations. 

The answers to these problems connect to and build upon each other over time.

Students’ research should be guided by analysis of primary and secondary sources.

A primary source for research in mathematics involves:

• data-gathering

• visualization

• abstraction

• conjecturing

• proof.

A secondary source of research refers to a comprehensive review of scholarly work, including books, journal articles or essays in an edited collection.

A literature review for mathematics might not be as extensive as in other subjects, but students are expected to demonstrate their knowledge and understanding of the mathematics they are using in the context of the broader discipline, for example how the mathematics they are using has been applied before, or in a different area to the one they are investigating.

Writing the essay

Throughout the EE students should communicate mathematically:

• describing their way of thinking

• writing definitions and conjectures

• using symbols, theorems, graphs and diagrams

• justifying their conclusions.

There must be sufficient explanation and commentary throughout the essay to ensure that the reader does not lose sight of its purpose in a mass of mathematical symbols, formulae and analysis.

The unique disciplines of mathematics must be respected throughout. Relevant graphs and diagrams are often important and should be incorporated in the body of the essay, not relegated to an appendix.

However, lengthy printouts, tables of results and computer programs should not be allowed to interrupt the development of the essay, and should appear separately as footnotes or in an appendix. Proofs of key results may be included, but proofs of standard results should be either omitted or, if they illustrate an important point, included in an appendix.

Examples of topics, research questions and suggested approaches

Once students have identified their topic and written their research question, they can decide how to

research their answer. They may find it helpful to write a statement outlining their broad approach. These

examples are for guidance only.

An important note on “double-dipping”

Students must ensure that their EE does not duplicate other work they are submitting for the Diploma Programme. For example, students are not permitted to repeat any of the mathematics in their IA in their EE, or vice versa.

The mathematics EE and internal assessment

An EE in mathematics is not an extension of the internal assessment (IA) task. Students must ensure that they understand the differences between the two.

• The EE is a more substantial piece of work that requires formal research
• The IA is an exploration of an idea in mathematics.

It is not appropriate for a student to choose the same topic for an EE as the IA. There would be too much danger of duplication and it must therefore be discouraged.

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Sat / act prep online guides and tips, the complete ib extended essay guide: examples, topics, and ideas.

International Baccalaureate (IB)

IB students around the globe fear writing the Extended Essay, but it doesn't have to be a source of stress! In this article, I'll get you excited about writing your Extended Essay and provide you with the resources you need to get an A on it.

If you're reading this article, I'm going to assume you're an IB student getting ready to write your Extended Essay. If you're looking at this as a potential future IB student, I recommend reading our introductory IB articles first, including our guide to what the IB program is and our full coverage of the IB curriculum .

IB Extended Essay: Why Should You Trust My Advice?

I myself am a recipient of an IB Diploma, and I happened to receive an A on my IB Extended Essay. Don't believe me? The proof is in the IBO pudding:

If you're confused by what this report means, EE is short for Extended Essay , and English A1 is the subject that my Extended Essay topic coordinated with. In layman's terms, my IB Diploma was graded in May 2010, I wrote my Extended Essay in the English A1 category, and I received an A grade on it.

What Is the Extended Essay in the IB Diploma Programme?

The IB Extended Essay, or EE , is a mini-thesis you write under the supervision of an IB advisor (an IB teacher at your school), which counts toward your IB Diploma (learn more about the major IB Diploma requirements in our guide) . I will explain exactly how the EE affects your Diploma later in this article.

For the Extended Essay, you will choose a research question as a topic, conduct the research independently, then write an essay on your findings . The essay itself is a long one—although there's a cap of 4,000 words, most successful essays get very close to this limit.

Keep in mind that the IB requires this essay to be a "formal piece of academic writing," meaning you'll have to do outside research and cite additional sources.

The IB Extended Essay must include the following:

• A title page
• Contents page
• Introduction
• Body of the essay
• References and bibliography

Additionally, your research topic must fall into one of the six approved DP categories , or IB subject groups, which are as follows:

• Group 1: Studies in Language and Literature
• Group 2: Language Acquisition
• Group 3: Individuals and Societies
• Group 4: Sciences
• Group 5: Mathematics
• Group 6: The Arts

Once you figure out your category and have identified a potential research topic, it's time to pick your advisor, who is normally an IB teacher at your school (though you can also find one online ). This person will help direct your research, and they'll conduct the reflection sessions you'll have to do as part of your Extended Essay.

As of 2018, the IB requires a "reflection process" as part of your EE supervision process. To fulfill this requirement, you have to meet at least three times with your supervisor in what the IB calls "reflection sessions." These meetings are not only mandatory but are also part of the formal assessment of the EE and your research methods.

According to the IB, the purpose of these meetings is to "provide an opportunity for students to reflect on their engagement with the research process." Basically, these meetings give your supervisor the opportunity to offer feedback, push you to think differently, and encourage you to evaluate your research process.

The final reflection session is called the viva voce, and it's a short 10- to 15-minute interview between you and your advisor. This happens at the very end of the EE process, and it's designed to help your advisor write their report, which factors into your EE grade.

Here are the topics covered in your viva voce :

• A check on plagiarism and malpractice
• Your reflection on your project's successes and difficulties
• Your reflection on what you've learned during the EE process

Your completed Extended Essay, along with your supervisor's report, will then be sent to the IB to be graded. We'll cover the assessment criteria in just a moment.

We'll help you learn how to have those "lightbulb" moments...even on test day!  

What Should You Write About in Your IB Extended Essay?

You can technically write about anything, so long as it falls within one of the approved categories listed above.

It's best to choose a topic that matches one of the IB courses , (such as Theatre, Film, Spanish, French, Math, Biology, etc.), which shouldn't be difficult because there are so many class subjects.

Here is a range of sample topics with the attached extended essay:

• Biology: The Effect of Age and Gender on the Photoreceptor Cells in the Human Retina
• Chemistry: How Does Reflux Time Affect the Yield and Purity of Ethyl Aminobenzoate (Benzocaine), and How Effective is Recrystallisation as a Purification Technique for This Compound?
• English: An Exploration of Jane Austen's Use of the Outdoors in Emma
• Geography: The Effect of Location on the Educational Attainment of Indigenous Secondary Students in Queensland, Australia
• Math: Alhazen's Billiard Problem
• Visual Arts: Can Luc Tuymans Be Classified as a Political Painter?

You can see from how varied the topics are that you have a lot of freedom when it comes to picking a topic . So how do you pick when the options are limitless?

How to Write a Stellar IB Extended Essay: 6 Essential Tips

Below are six key tips to keep in mind as you work on your Extended Essay for the IB DP. Follow these and you're sure to get an A!

#1: Write About Something You Enjoy

You can't expect to write a compelling essay if you're not a fan of the topic on which you're writing. For example, I just love British theatre and ended up writing my Extended Essay on a revolution in post-WWII British theatre. (Yes, I'm definitely a #TheatreNerd.)

I really encourage anyone who pursues an IB Diploma to take the Extended Essay seriously. I was fortunate enough to receive a full-tuition merit scholarship to USC's School of Dramatic Arts program. In my interview for the scholarship, I spoke passionately about my Extended Essay; thus, I genuinely think my Extended Essay helped me get my scholarship.

But how do you find a topic you're passionate about? Start by thinking about which classes you enjoy the most and why . Do you like math classes because you like to solve problems? Or do you enjoy English because you like to analyze literary texts?

Keep in mind that there's no right or wrong answer when it comes to choosing your Extended Essay topic. You're not more likely to get high marks because you're writing about science, just like you're not doomed to failure because you've chosen to tackle the social sciences. The quality of what you produce—not the field you choose to research within—will determine your grade.

Once you've figured out your category, you should brainstorm more specific topics by putting pen to paper . What was your favorite chapter you learned in that class? Was it astrophysics or mechanics? What did you like about that specific chapter? Is there something you want to learn more about? I recommend spending a few hours on this type of brainstorming.

One last note: if you're truly stumped on what to research, pick a topic that will help you in your future major or career . That way you can use your Extended Essay as a talking point in your college essays (and it will prepare you for your studies to come too!).

#2: Select a Topic That Is Neither Too Broad nor Too Narrow

There's a fine line between broad and narrow. You need to write about something specific, but not so specific that you can't write 4,000 words on it.

You can't write about WWII because that would be a book's worth of material. You also don't want to write about what type of soup prisoners of war received behind enemy lines, because you probably won’t be able to come up with 4,000 words of material about it. However, you could possibly write about how the conditions in German POW camps—and the rations provided—were directly affected by the Nazis' successes and failures on the front, including the use of captured factories and prison labor in Eastern Europe to increase production. WWII military history might be a little overdone, but you get my point.

If you're really stuck trying to pinpoint a not-too-broad-or-too-narrow topic, I suggest trying to brainstorm a topic that uses a comparison. Once you begin looking through the list of sample essays below, you'll notice that many use comparisons to formulate their main arguments.

I also used a comparison in my EE, contrasting Harold Pinter's Party Time with John Osborne's Look Back in Anger in order to show a transition in British theatre. Topics with comparisons of two to three plays, books, and so on tend to be the sweet spot. You can analyze each item and then compare them with one another after doing some in-depth analysis of each individually. The ways these items compare and contrast will end up forming the thesis of your essay!

When choosing a comparative topic, the key is that the comparison should be significant. I compared two plays to illustrate the transition in British theatre, but you could compare the ways different regional dialects affect people's job prospects or how different temperatures may or may not affect the mating patterns of lightning bugs. The point here is that comparisons not only help you limit your topic, but they also help you build your argument.

Comparisons are not the only way to get a grade-A EE, though. If after brainstorming, you pick a non-comparison-based topic and are still unsure whether your topic is too broad or narrow, spend about 30 minutes doing some basic research and see how much material is out there.

If there are more than 1,000 books, articles, or documentaries out there on that exact topic, it may be too broad. But if there are only two books that have any connection to your topic, it may be too narrow. If you're still unsure, ask your advisor—it's what they're there for! Speaking of advisors...

Don't get stuck with a narrow topic!

#3: Choose an Advisor Who Is Familiar With Your Topic

If you're not certain of who you would like to be your advisor, create a list of your top three choices. Next, write down the pros and cons of each possibility (I know this sounds tedious, but it really helps!).

For example, Mr. Green is my favorite teacher and we get along really well, but he teaches English. For my EE, I want to conduct an experiment that compares the efficiency of American electric cars with foreign electric cars.

I had Ms. White a year ago. She teaches physics and enjoyed having me in her class. Unlike Mr. Green, Ms. White could help me design my experiment.

Based on my topic and what I need from my advisor, Ms. White would be a better fit for me than would Mr. Green (even though I like him a lot).

The moral of my story is this: do not just ask your favorite teacher to be your advisor . They might be a hindrance to you if they teach another subject. For example, I would not recommend asking your biology teacher to guide you in writing an English literature-based EE.

There can, of course, be exceptions to this rule. If you have a teacher who's passionate and knowledgeable about your topic (as my English teacher was about my theatre topic), you could ask that instructor. Consider all your options before you do this. There was no theatre teacher at my high school, so I couldn't find a theatre-specific advisor, but I chose the next best thing.

Before you approach a teacher to serve as your advisor, check with your high school to see what requirements they have for this process. Some IB high schools require your IB Extended Essay advisor to sign an Agreement Form , for instance.

Make sure that you ask your IB coordinator whether there is any required paperwork to fill out. If your school needs a specific form signed, bring it with you when you ask your teacher to be your EE advisor.

#4: Pick an Advisor Who Will Push You to Be Your Best

Some teachers might just take on students because they have to and aren't very passionate about reading drafts, only giving you minimal feedback. Choose a teacher who will take the time to read several drafts of your essay and give you extensive notes. I would not have gotten my A without being pushed to make my Extended Essay draft better.

Ask a teacher that you have experience with through class or an extracurricular activity. Do not ask a teacher that you have absolutely no connection to. If a teacher already knows you, that means they already know your strengths and weaknesses, so they know what to look for, where you need to improve, and how to encourage your best work.

Also, don't forget that your supervisor's assessment is part of your overall EE score . If you're meeting with someone who pushes you to do better—and you actually take their advice—they'll have more impressive things to say about you than a supervisor who doesn't know you well and isn't heavily involved in your research process.

Be aware that the IB only allows advisors to make suggestions and give constructive criticism. Your teacher cannot actually help you write your EE. The IB recommends that the supervisor spends approximately two to three hours in total with the candidate discussing the EE.

#5: Make Sure Your Essay Has a Clear Structure and Flow

The IB likes structure. Your EE needs a clear introduction (which should be one to two double-spaced pages), research question/focus (i.e., what you're investigating), a body, and a conclusion (about one double-spaced page). An essay with unclear organization will be graded poorly.

The body of your EE should make up the bulk of the essay. It should be about eight to 18 pages long (again, depending on your topic). Your body can be split into multiple parts. For example, if you were doing a comparison, you might have one third of your body as Novel A Analysis, another third as Novel B Analysis, and the final third as your comparison of Novels A and B.

If you're conducting an experiment or analyzing data, such as in this EE , your EE body should have a clear structure that aligns with the scientific method ; you should state the research question, discuss your method, present the data, analyze the data, explain any uncertainties, and draw a conclusion and/or evaluate the success of the experiment.

#6: Start Writing Sooner Rather Than Later!

You will not be able to crank out a 4,000-word essay in just a week and get an A on it. You'll be reading many, many articles (and, depending on your topic, possibly books and plays as well!). As such, it's imperative that you start your research as soon as possible.

Each school has a slightly different deadline for the Extended Essay. Some schools want them as soon as November of your senior year; others will take them as late as February. Your school will tell you what your deadline is. If they haven't mentioned it by February of your junior year, ask your IB coordinator about it.

Some high schools will provide you with a timeline of when you need to come up with a topic, when you need to meet with your advisor, and when certain drafts are due. Not all schools do this. Ask your IB coordinator if you are unsure whether you are on a specific timeline.

Below is my recommended EE timeline. While it's earlier than most schools, it'll save you a ton of heartache (trust me, I remember how hard this process was!):

• January/February of Junior Year: Come up with your final research topic (or at least your top three options).
• February of Junior Year: Approach a teacher about being your EE advisor. If they decline, keep asking others until you find one. See my notes above on how to pick an EE advisor.
• April/May of Junior Year: Submit an outline of your EE and a bibliography of potential research sources (I recommend at least seven to 10) to your EE advisor. Meet with your EE advisor to discuss your outline.
• Summer Between Junior and Senior Year: Complete your first full draft over the summer between your junior and senior year. I know, I know—no one wants to work during the summer, but trust me—this will save you so much stress come fall when you are busy with college applications and other internal assessments for your IB classes. You will want to have this first full draft done because you will want to complete a couple of draft cycles as you likely won't be able to get everything you want to say into 4,000 articulate words on the first attempt. Try to get this first draft into the best possible shape so you don't have to work on too many revisions during the school year on top of your homework, college applications, and extracurriculars.
• August/September of Senior Year: Turn in your first draft of your EE to your advisor and receive feedback. Work on incorporating their feedback into your essay. If they have a lot of suggestions for improvement, ask if they will read one more draft before the final draft.
• September/October of Senior Year: Submit the second draft of your EE to your advisor (if necessary) and look at their feedback. Work on creating the best possible final draft.
• November-February of Senior Year: Schedule your viva voce. Submit two copies of your final draft to your school to be sent off to the IB. You likely will not get your grade until after you graduate.

Remember that in the middle of these milestones, you'll need to schedule two other reflection sessions with your advisor . (Your teachers will actually take notes on these sessions on a form like this one , which then gets submitted to the IB.)

I recommend doing them when you get feedback on your drafts, but these meetings will ultimately be up to your supervisor. Just don't forget to do them!

The early bird DOES get the worm!

How Is the IB Extended Essay Graded?

Extended Essays are graded by examiners appointed by the IB on a scale of 0 to 34 . You'll be graded on five criteria, each with its own set of points. You can learn more about how EE scoring works by reading the IB guide to extended essays .

• Criterion A: Focus and Method (6 points maximum)
• Criterion B: Knowledge and Understanding (6 points maximum)
• Criterion C: Critical Thinking (12 points maximum)
• Criterion D: Presentation (4 points maximum)
• Criterion E: Engagement (6 points maximum)

How well you do on each of these criteria will determine the final letter grade you get for your EE. You must earn at least a D to be eligible to receive your IB Diploma.

Although each criterion has a point value, the IB explicitly states that graders are not converting point totals into grades; instead, they're using qualitative grade descriptors to determine the final grade of your Extended Essay . Grade descriptors are on pages 102-103 of this document .

Here's a rough estimate of how these different point values translate to letter grades based on previous scoring methods for the EE. This is just an estimate —you should read and understand the grade descriptors so you know exactly what the scorers are looking for.

Here is the breakdown of EE scores (from the May 2021 bulletin):

How Does the Extended Essay Grade Affect Your IB Diploma?

The Extended Essay grade is combined with your TOK (Theory of Knowledge) grade to determine how many points you get toward your IB Diploma.

To learn about Theory of Knowledge or how many points you need to receive an IB Diploma, read our complete guide to the IB program and our guide to the IB Diploma requirements .

This diagram shows how the two scores are combined to determine how many points you receive for your IB diploma (3 being the most, 0 being the least). In order to get your IB Diploma, you have to earn 24 points across both categories (the TOK and EE). The highest score anyone can earn is 45 points.

Let's say you get an A on your EE and a B on TOK. You will get 3 points toward your Diploma. As of 2014, a student who scores an E on either the extended essay or TOK essay will not be eligible to receive an IB Diploma .

Prior to the class of 2010, a Diploma candidate could receive a failing grade in either the Extended Essay or Theory of Knowledge and still be awarded a Diploma, but this is no longer true.

Figuring out how you're assessed can be a little tricky. Luckily, the IB breaks everything down here in this document . (The assessment information begins on page 219.)

40+ Sample Extended Essays for the IB Diploma Programme

In case you want a little more guidance on how to get an A on your EE, here are over 40 excellent (grade A) sample extended essays for your reading pleasure. Essays are grouped by IB subject.

• Business Management 1
• Chemistry 1
• Chemistry 2
• Chemistry 3
• Chemistry 4
• Chemistry 5
• Chemistry 6
• Chemistry 7
• Computer Science 1
• Economics 1
• Design Technology 1
• Design Technology 2
• Environmental Systems and Societies 1
• Geography 1
• Geography 2
• Geography 3
• Geography 4
• Geography 5
• Geography 6
• Literature and Performance 1
• Mathematics 1
• Mathematics 2
• Mathematics 3
• Mathematics 4
• Mathematics 5
• Philosophy 1
• Philosophy 2
• Philosophy 3
• Philosophy 4
• Philosophy 5
• Psychology 1
• Psychology 2
• Psychology 3
• Psychology 4
• Psychology 5
• Social and Cultural Anthropology 1
• Social and Cultural Anthropology 2
• Social and Cultural Anthropology 3
• Sports, Exercise and Health Science 1
• Sports, Exercise and Health Science 2
• Visual Arts 1
• Visual Arts 2
• Visual Arts 3
• Visual Arts 4
• Visual Arts 5
• World Religion 1
• World Religion 2
• World Religion 3

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IB Math EE - Propel Your Mind To A 34/34

Unlock the secrets to acing your IB Math EE with a guaranteed 34/34 score! Propel your mind to success and make the most of your potential. 💯

Table of content

Extended essay & what is it❓, ib math ee vs math ia 🥊 , wth is an ib math extended essay 🌋, a brief about ib math ee 🩲, sexy pointers you can't-miss 🤤, 4 ways to find the right math ee topic ⭕, formulate your research question 🔎, planning your research & essay 📖, structuring your essay 🏗️, ib math ee reflection, what to do 🪞, ib math ee criteria 🧮, ib math ee examples 🛹.

It's time we address the elephant in the room.

IB Mathematics Extended Essay.

There, we said it.

If you've taken up IB Math EE, we're here to tell you that it isn't over, contrary to what you might have heard.

Researching, planning, and finally writing a good IB Math EE is no walk in the park, but rest assured that you'll feel different once you've gone through this valuable document.

Nail IB presents the only comprehensive guide you need to nail your IB Math EE.

Let's keep it accurate.

IB Math EE is a rigorous, independent, academic research essay that calls for,

• a keen interest in Mathematics,
• strong mathematical aptitude & reasoning,
• a focused and disciplined approach, and most importantly,
• essential tips, techniques, and quality guidance.

When one opts for IB Math EE, one should ensure a strong passion for Mathematics and a solid mathematical foundation. Not to mention being willing to devote their time and effort to this self-directed research.

Disclaimer -  If you have second thoughts, you should reconsider and re-evaluate your choice because it's no use aiming in the dark.

There needs to be more!

Invaluable tips and techniques are the last missing piece of the IB Math EE puzzle.

Given the panic and stigma around Math Extended Essay, what students need, is not some more panic; instead, expert guidance to keep them pumped to write their EE papers with skill, precision, and utmost zeal. And so, true to our word, we're here to help you.

Say it out loud for me - I got this!

Before diving any further, we are thrilled to share our premium IB Math resources. Check out the  IB Math AI SL  bundle and the  IB Math AI HL  bundle, including everything from comprehensive, up-to-date video lecture courses by Adam Nazha to curated IB Resource Libraries. All your IB DP Math queries are now answered!

While you're at it, check out our  IB Math AA SL  repository, where Patrick Jones (yep, you got that right, our very own  PatrickJMT  - the best Mathematics instructor in the world) will guide you with a brilliant video lecture course he has created to help you nail your concepts and exams alike! Happy learning!

Returning to our one-stop guide for all things IB Math EE, let us see what this article will cover.

• Extended Essay & What is it ❓
• IB Math EE Vs Math IA  🥊
• WTH Is An IB Math Extended Essay?  🌋
• A Brief About IB Math EE ?  🩲
• Sexy Pointers You Can't Miss  🤤
• 4 Ways To Find The Right Math EE topic  ⭕
• Formulate Your Research Question  🔎
• Planning Your Research and Essay  📖
• Structuring Your Essay  🏗️
• Writing Your Essay Writing Your Reflection  🪞
• IB Math EE Criteria  🧮
• IB Math EE Examples  🛹

First things first, let’s briefly discuss what an Extended Essay is.

As the IB defines it, the Extended Essay is a  4000-word in-depth  study, part of the IB Diploma Programme core mandatory for all students.

A  500-word  reflection component-inclusive of 3 reflections - is submitted with the academic writing.

This, of course, is done under the supervision of your IB advisor. The critical thing to note is that you can choose to write an Extended Essay on any subject offered by the IB in your session, though it is highly recommended you settle on a topic you are studying as a part of your IB curriculum.

The purpose of an Extended Essay is to motivate students to conduct formal research on a subject area of interest, independently work on the chosen research question and gain guidance from their respective IB mentors every step of the way.

The IB highlights the significance of the Extended Essay:

• Hands-on learning for undergraduate research
• An opportunity for students to research an area of interest relating to one of the 6 DP subjects opted for by the student.

The skills the Extended Essay aims to develop in students are:

• Coming up with a relevant Research Question
• Personally engaging with a topic of exploration
• A coherent communication of ideas
• Strong Argument building

For better understanding, go through  this document on Extended Essays   by the IB. It will make things more transparent.

Students often confuse their Internal Assessments with Extended Essays, which is a grave mistake. Gaining clarity on both these components of the IB DP core is essential. Let us understand the significant difference between the two.

• While Internal Assessments require students to investigate and explore an idea, Extended Essays are more formal. Students need to perform primary and secondary research on a research question they choose based on a diverse topic about the subject. Since EE is an independently researched essay, your mentor may only be able to give you some of the answers you wanted, unlike the IA.
• Students must write one Extended Essay on a subject of their choice for their IB Diploma Programme, but I must be prepared for all the topics.
• Internal Assessments are graded internally by the subject instructor and then moderated externally. Extended Essays are marked externally by examiners appointed by the IB. Your grade on your Extended Essay is combined with your Theory of Knowledge Essay/Exhibition score to assign you your overall score/points.

Word of caution:  Do not choose the same investigation topic/research question for your Internal Assessment and the Extended Essay.

For a much better breakdown of the EE document, you must go through our article on the  IB Extended Essay . It contains an IB EE checklist you must attend to and a detailed overview of the structure and planning of the EE.

Now that we’ve got our basics to, let’s get down to business. The fear around IB Math Extended Essay makes the most confident students hesitate and doubt their choices. But we aren’t here to scare you. The myth about the horrors of the IB Math EE isn’t all false; it’s a caution. Because unless you’re prepared with ammunition, strategy, and the will to put in the effort, there’s a slim chance you can survive the Math Extended Essay battle.

If you’ve opted for Math Extended Essay, we assume you have a strong passion for Mathematics. When the going gets tough while working on one’s Extended Essay-which, which is usually the case-your only hope at the end of the tunnel is your drive for the subject you’ve chosen. Being a rigorous subject for writing one’s Extended Essay, Mathematics can be incredibly demanding. So unless you want to play it risky, we suggest you reassess your liking for Mathematics. Once you know for sure, that’s when it begins. Lots of research. Since it is an independently written document, you want to be doing your homework well.

We will further break down the IB Math Extended Essay, from planning to execution, so that you can organize your thoughts and make appropriate decisions.

The Math Extended Essay is an in-depth research document covering any topic with a mathematical focus, i.e., not limited to the mathematics theory (shouldn’t be entirely descriptive). IB has divided Math Extended Essays into six categories:

• the applicability of mathematics to solve both real and abstract problems
• The beauty of mathematics examples includes geometry or fractal theory.
• the application of mathematics in the proving of theorems, for example, number theory
• the history of mathematics: the origin and subsequent development of a branch of mathematics over some time, measured in tens, hundreds, or thousands of years
• the effect of technology on mathematics
• in creating links between different branches of mathematics,
• Or in bringing about a new branch of mathematics or causing a particular unit to flourish.

Your Math EE topic should be an extension of your IB Maths syllabus or the practical application of the knowledge you’ve gained in class.

Before moving on to the planning and structure of the Math Extended Essay, here are some pointers you absolutely cannot afford to miss:

• Attempting a Math EE requires a decent amount of hard work. While conducting preliminary research, ensure you land on a topic you can personally engage with and are familiar with. Going for a complicated subject, you can’t comprehend and interpret futile.
• The mathematical work you put in will have to meet a certain level of sophistication, so avoid going for a topic that gives rise to a trivial research question. Your research question shouldn’t be too generic or broad on similar lines. Ensure you can sufficiently narrow down your area of investigation.
• Another thing to remember is that the topic you finally choose should have a good research foundation and room for a novel contribution.
• Incorporate Primary and Secondary research wherever appropriate.
• Proper Referencing should be done for the essay.
• For Reflection, emphasize the Planning, Research, and Writing Processes.

Spitball ideas -  You begin here. Write down any interesting ideas you can come up with. This is your brainstorming session.

Do your Research -  You could not, would not want to meddle with this step, let alone skip it. Research. Read reports, articles, and documentation. Keep jotting important points down simultaneously. The study will and must go on throughout your search for the right math EE topic.

Approach professors/professionals/experts -  Contact concerned lecturers, professors, and industry professionals. They can provide you with invaluable insights. It would be best if you also discussed ideas with your mentor.

Point to Note -  Your goal should be to find a topic you understand and contribute to. It is always recommended to refer to your Math syllabus; something there inspires you to get the ball rolling!

Your essay will be structured as a document answering the Research Question you’re working on. It should be focused, clear and arguable. You will build your essay around your Research Question; hence pay close attention to it.

All you will include in your essay must be mentioned in your Research Question. This means the focused area you will be exploring and the methods you will use to achieve a plausible outcome.

Honing your Research Question is a continuous process. If it appears relatively easy or complex, please rephrase it. Good Research Questions may start with: “How can we model…”, “To what extent…” etc.

Collect Primary and Secondary data and incorporate it wherever appropriate.

Primary sources for Math research include 

• Data-gathering
• Visualization
• Abstraction
• Conjecturing

A few sources to gather Secondary data include Google Scholar, textbooks, databases such as JSTOR, etc. For your essay, know your aims and devise a step-by-step plan to answer your research question while maintaining a mathematical focus.

• Though you can approach your essay in whichever way you like, there should be a consistent logical structure.
• The work done in your essay should develop to answer your research question.
• Subheadings will provide your work with much-needed coherence and viability.
• Describe your way of thinking
• Write definitions and Conjectures.
• Use symbols, theorems, graphs, and diagrams
• Justify your conclusions.
• Visual aids such as graphs and diagrams should be included in the body, while tables and computer programs should be mentioned in the footnotes or the appendix.
• Data must be analyzed appropriately using relevant techniques, correctly reasoned arguments, and adequate methodology to achieve a result.
• Provide the necessary explanation and commentary for all your work.
• Throughout the writing, you may need to re-evaluate the method, approach, and structure to fit the word count adequately.

Once you’re finished writing, you will have to reassess everything from scratch- the equations, the theory, etc., to ensure the coherence of your essay.

• The three reflections should highlight how the process of writing your essay changed in due course of work and what you’ve learned from it.
• The Reflection should emphasize the planning, research, and writing process.
• You should discuss your choices, the re-evaluations you had to make, the limitations of your work, and how you overcame them, if at all.
• The three reflections are written at the beginning, mid, and towards the end of your essay and should have a word limit of approximately 150, 150, and 200, respectively.

Extended Essays are assessed externally by IB-appointed examiners and are marked on a scale of 0 to 34. The score obtained by a student corresponds to a particular band. The bands are:

A -  refers to work of an excellent standard (Level 6)

B -  refers to the creation of a good standard (Level 6)

C -  refers to work of a satisfactory standard (Level-12)

D -  refers to the product of a mediocre standard (Level 4)

E -  refers to the design of an elementary average (Level 6)

Anything below D will be considered a failing grade, and the student will not be awarded the IB diploma.  As we said, your EE is not a component you can mess up.

The Extended Essay Rubric includes the following Assessment Criteria:

Criterion A -   Focus and Method (Covers the topic, research question, and methodology)

Criterion B -  Knowledge and Understanding (Covers context, subject-specific terminology, and concepts)

Criterion C -  Critical Thinking (Covers research, analysis, discussion, and evaluation)

Criterion D -  Presentation (Covers structure, layout)

Criterion E -  Engagement (Covers reflection on planning and progress)

Now that we’ve discovered and learned about the process of writing a Math EE, here are a couple of ideas to give you an idea about how your Math EE questions should be framed:

Topic -  Archimedes’ calculation of areas

Research Question -  What is the legacy of Archimedes’ calculations of circular and parabolic areas in today’s integration methods?

Topic -  Approximation of irrational numbers by rational numbers

Research Question -  How well can π, e, √2, and other irrationals be approximated by rational numbers?

Topic -   The geometry of navigation

Research Question -  What was the role of mathematics and geometry in navigation when we relied on the stars? Does it still play a part now we have manufactured satellites?

You should also check out this  sample band, A Math EE, published by the IB . This will give you an honest insight into making a band-A essay. Also, go through  band B, C, and D extended essays  to understand the loopholes to avoid.

And that’s a wrap!

We hope this comprehensive IB Math EE guide answers your queries regarding the EE. We also suggest you go through  this IB Extended Essay guide  to clarify the Extended Essay component of your IB DP curriculum. You should also try Nail IB’s Extended Essay guide; check it out  here !

At Nail IB, we’re committed to delivering A-quality guidance so that your IB DP journey is smooth and successful. You can explore  our take-test  series here and access   premium guides  here.

Happy learning!

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Tips for Writing an Effective Application Essay

How to Write an Effective Essay

Writing an essay for college admission gives you a chance to use your authentic voice and show your personality. It's an excellent opportunity to personalize your application beyond your academic credentials, and a well-written essay can have a positive influence come decision time.

Want to know how to draft an essay for your college application ? Here are some tips to keep in mind when writing.

Tips for Essay Writing

A typical college application essay, also known as a personal statement, is 400-600 words. Although that may seem short, writing about yourself can be challenging. It's not something you want to rush or put off at the last moment. Think of it as a critical piece of the application process. Follow these tips to write an impactful essay that can work in your favor.

1. Start Early.

Few people write well under pressure. Try to complete your first draft a few weeks before you have to turn it in. Many advisers recommend starting as early as the summer before your senior year in high school. That way, you have ample time to think about the prompt and craft the best personal statement possible.

You don't have to work on your essay every day, but you'll want to give yourself time to revise and edit. You may discover that you want to change your topic or think of a better way to frame it. Either way, the sooner you start, the better.

2. Understand the Prompt and Instructions.

Before you begin the writing process, take time to understand what the college wants from you. The worst thing you can do is skim through the instructions and submit a piece that doesn't even fit the bare minimum requirements or address the essay topic. Look at the prompt, consider the required word count, and note any unique details each school wants.

3. Create a Strong Opener.

Students seeking help for their application essays often have trouble getting things started. It's a challenging writing process. Finding the right words to start can be the hardest part.

Spending more time working on your opener is always a good idea. The opening sentence sets the stage for the rest of your piece. The introductory paragraph is what piques the interest of the reader, and it can immediately set your essay apart from the others.

4. Stay on Topic.

One of the most important things to remember is to keep to the essay topic. If you're applying to 10 or more colleges, it's easy to veer off course with so many application essays.

A common mistake many students make is trying to fit previously written essays into the mold of another college's requirements. This seems like a time-saving way to avoid writing new pieces entirely, but it often backfires. The result is usually a final piece that's generic, unfocused, or confusing. Always write a new essay for every application, no matter how long it takes.

5. Think About Your Response.

Don't try to guess what the admissions officials want to read. Your essay will be easier to write─and more exciting to read─if you’re genuinely enthusiastic about your subject. Here’s an example: If all your friends are writing application essays about covid-19, it may be a good idea to avoid that topic, unless during the pandemic you had a vivid, life-changing experience you're burning to share. Whatever topic you choose, avoid canned responses. Be creative.

6. Focus on You.

Essay prompts typically give you plenty of latitude, but panel members expect you to focus on a subject that is personal (although not overly intimate) and particular to you. Admissions counselors say the best essays help them learn something about the candidate that they would never know from reading the rest of the application.

7. Stay True to Your Voice.

Use your usual vocabulary. Avoid fancy language you wouldn't use in real life. Imagine yourself reading this essay aloud to a classroom full of people who have never met you. Keep a confident tone. Be wary of words and phrases that undercut that tone.

8. Be Specific and Factual.

Capitalize on real-life experiences. Your essay may give you the time and space to explain why a particular achievement meant so much to you. But resist the urge to exaggerate and embellish. Admissions counselors read thousands of essays each year. They can easily spot a fake.

9. Edit and Proofread.

When you finish the final draft, run it through the spell checker on your computer. Then don’t read your essay for a few days. You'll be more apt to spot typos and awkward grammar when you reread it. After that, ask a teacher, parent, or college student (preferably an English or communications major) to give it a quick read. While you're at it, double-check your word count.

Writing essays for college admission can be daunting, but it doesn't have to be. A well-crafted essay could be the deciding factor─in your favor. Keep these tips in mind, and you'll have no problem creating memorable pieces for every application.

What is the format of a college application essay?

Generally, essays for college admission follow a simple format that includes an opening paragraph, a lengthier body section, and a closing paragraph. You don't need to include a title, which will only take up extra space. Keep in mind that the exact format can vary from one college application to the next. Read the instructions and prompt for more guidance.

Most online applications will include a text box for your essay. If you're attaching it as a document, however, be sure to use a standard, 12-point font and use 1.5-spaced or double-spaced lines, unless the application specifies different font and spacing.

How do you start an essay?

The goal here is to use an attention grabber. Think of it as a way to reel the reader in and interest an admissions officer in what you have to say. There's no trick on how to start a college application essay. The best way you can approach this task is to flex your creative muscles and think outside the box.

You can start with openers such as relevant quotes, exciting anecdotes, or questions. Either way, the first sentence should be unique and intrigue the reader.

What should an essay include?

Every application essay you write should include details about yourself and past experiences. It's another opportunity to make yourself look like a fantastic applicant. Leverage your experiences. Tell a riveting story that fulfills the prompt.

What shouldn’t be included in an essay?

When writing a college application essay, it's usually best to avoid overly personal details and controversial topics. Although these topics might make for an intriguing essay, they can be tricky to express well. If you’re unsure if a topic is appropriate for your essay, check with your school counselor. An essay for college admission shouldn't include a list of achievements or academic accolades either. Your essay isn’t meant to be a rehashing of information the admissions panel can find elsewhere in your application.

How can you make your essay personal and interesting?

The best way to make your essay interesting is to write about something genuinely important to you. That could be an experience that changed your life or a valuable lesson that had an enormous impact on you. Whatever the case, speak from the heart, and be honest.

Is it OK to discuss mental health in an essay?

Mental health struggles can create challenges you must overcome during your education and could be an opportunity for you to show how you’ve handled challenges and overcome obstacles. If you’re considering writing your essay for college admission on this topic, consider talking to your school counselor or with an English teacher on how to frame the essay.

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4 ways to engage students with writing in math class

My first classroom position was teaching sixth-grade science at an elementary school. I had a great curriculum with a lot of hands-on exploration of phenomena that both my students and I loved. The one thing missing, though, was a real reading and writing component. So, I created an introductory unit on science writing. It involved teaching students explicitly how to make and record detailed observations and clearly explain the rationale for their inferences. I worked with the school librarian to get access to age-appropriate science magazines and had students read and respond to articles regularly. As someone who loves to write, it made sense to me to incorporate writing into all areas of the classroom.

I brought this interest in content-area writing along when I transitioned to teaching third grade. That curriculum had plenty of opportunities to write in science and social studies. However, I noticed that beyond the typical “Explain how you solved the problem” prompts, there was very little writing in math. When I excitedly asked my new grade-level colleagues if they used math journals, they looked at me as if I had spoken to them in another language. The idea of writing in math seemed somewhere between unnecessary and ridiculous to them.

Thankfully, teachers have become much more open to writing in math class since then. NCTM’s 2000 publication “Principles and standards for school mathematics” helped drive this connection by including communication as a key component of mathematics learning. NCTM framed mathematical communication as “a way of sharing ideas and clarifying understanding. Through communication, ideas become objects of reflection, refinement, discussion, and amendment. When students are challenged to communicate the results of their thinking to others orally or in writing, they learn to be clear, convincing, and precise in their use of mathematical language.” Since this publication, most college-and-career ready standards have incorporated the need to communicate mathematical ideas into their math practice standards.

Why is writing in math class important?

The act of writing involves examining, organizing, reconsidering, and synthesizing one’s ideas. Writing is a “knowledge transforming” process that involves both the retrieval and encoding of ideas and concepts in our memory. As stated in the NWEA stances on writing , “Writing is a cognitive, nonlinear process that serves as a tool for learning and critical thinking, stimulating the writer to think more deeply about a text, topic, or concept. In this way, writing doesn’t just show thinking; it is thinking, and it is an essential practice across disciplines.”

Research has demonstrated the impact of writing in furthering mathematical understanding. A 2020 meta-analysis of research on writing in the content areas of math, science, and social studies showed that writing to learn in each of these subject areas “reliably enhanced learning” with an effect size of 0.30. Another meta-analysis focused on writing specifically in math found an even greater effect size of 0.42.

Writing in math class can both uncover and potentially improve students’ attitudes toward the subject. A 2014 study involving students with high math anxiety found that when students wrote expressively about their thoughts and feelings prior to an exam, the difference in performance between low and high math anxiety students was significantly reduced relative to the control group in which students did not engage in pretest expressive writing.

There’s more than one write way

At a high level, there are two different ways to think about writing in the math classroom. One way is a writing-first approach, where the focus is on improving student writing, and math is a topic that is used to support this. The other approach is math-first, where writing serves as a tool for helping students learn and integrate mathematical content.

Naturally, with a writing-first approach there is more emphasis on drafting, revising, and honing writing. In a math-first approach, which will be the focus of this article, revisions are less common. While students should be taught and coached on how to articulate mathematical ideas and arguments clearly, revisions are more about recording shifts in students’ thinking about the mathematical content than they are about mechanics or style.

Within the math-first approach, there are many ways to incorporate writing in math class. I’ll dig into four of them here.

1. Eliciting impactful explanations

Let’s start by examining the aforementioned “Explain how you solved the problem” prompts found in many teaching materials.

You are likely familiar with the tepid and uninformative responses these questions can elicit if students are not taught how to unpack their mathematical thinking. Without coaching and modeling, students are likely to simply list the series of steps they took to solve the problem, rather than explain why they chose that approach, identify challenges they encountered and decisions they made along the way, and say how they determined their answer was reasonable. Just as I had done when teaching science, I realized I needed to explicitly teach my students to explain how they approached and solved a problem. This instruction went hand in hand with developing a classroom culture where students felt comfortable explaining their thinking orally, asking and answering questions of one another, and defending their mathematical thinking.

To start, when solving a problem, I would model my own mathematical thinking on chart paper. I did this in a double journal entry style, solving part of the problem on one side of the paper and then recording my thoughts and decisions on the other side. Capturing decisions, missteps, mistakes , and course changes is a great way to model the math practices , particularly making sense and persevering in problem-solving. It is also a great way to model that the problem-solving process may not always be linear and that mistakes are normal and can lead to deeper understanding.

Writing in math class can both uncover and potentially improve students’ attitudes toward the subject.

After I finished, I would allow students to ask questions about what I wrote and I would use this to add to my writing, or I would annotate what to include next time. As students started writing on their own, I would share less-than-exemplary examples that I had created, alongside high-quality student examples. First as a whole class and then later in pairs, students would highlight the differences between the pieces and we would annotate the poor examples to show how to improve them. This included sharpening mathematical vocabulary, discussing models that could support the written text, and adding details for clarity. Finally, as students gained more confidence in their writing, I would pair students who solved the same problem using different approaches. The students would read each other’s explanation and then ask questions to help clarify the other student’s writing. Because these were not formal writing pieces, students didn’t necessarily need to rewrite their explanations; however, they at least needed to take notes of what might help make their explanations clearer next time.

The power of connecting writing and problem-solving was well summed up by the authors of “Aiming for understanding: Lessons learned about writing in mathematics” : “Writing during problem-solving instruction was introduced to help us assess our students’ thinking, but…we concluded that writing about problem solving and reading others’ thoughts…actually helped our students develop a deeper understanding of the problem-solving process. What began as an assessment tool was now being recognized as an instructional tool. We were beginning to view writing as integral to the teaching of mathematics concepts.”

2. Providing a formative foundation

Mathematical writing can be a rich vehicle for formative assessment , and it can be employed before, during, or after a lesson or unit. For example, before starting a unit on fraction addition, you might assign a 5–10 minute quick write in which students record everything they know about fractions. Reviewing the writing can give you more insight into student understanding than a quiz, which is inherently limited in terms of content included. The knowledge you uncover about your students can help you tailor interventions and small- and large-group lessons to where students are in their conceptual understanding of fractions. The process of recall leverages spaced retrieval practice , which helps with long-term retention of information. Recalling related past concepts also primes students to connect previous content to new content, a topic I’ll discuss in the next section.

During the lesson, you can convert the traditional “Think, Pair, Share” activity into a “Think, Write, Pair, Share” activity. The writing can be done either on individual whiteboards or in a notebook, if you’d like to save the students’ writing. Adding writing to this protocol can give students more time to process their thinking. Additionally, if the writing is recorded in a journal, later in the unit students can be asked to reread earlier entries to reflect on how their thinking has changed or deepened.

Finally, end-of-lesson quick writes where students record the three most important things they learned, identify and define key vocabulary in their words, or comment on a particular student’s explanation or response can serve both as an assessment of student learning and a way for students to synthesize their new knowledge.

3. Making connections

Despite how many of us were taught it, mathematics is all about connections. Connections, along with communication, is one of NCTM’s five process standards . Students at all levels should be able to recognize and “understand how mathematical ideas interconnect and build on one another to produce a coherent whole” as well as how they connect to the wider world. I discussed why making connections is so critical in “Maximum impact: 3 ways to make the most of supplemental content.” Math journals and writing prompts are a great way to have students look for connections among concepts.

Varying degrees of scaffolding can be used to help students make connections. You can directly ask them to do a quick write that compares two concepts, such as multiplying whole numbers and multiplying a fraction and a whole number. Or, prior to starting a new unit, students could be asked to write down everything they know about a concept related to the upcoming unit. For example, if students are starting a unit on multiplication, you can ask them to write everything they recall about arrays. As you move through the unit, you can ask questions to explicitly help them see the connection between arrays and multiplication.

You also want to provide prompts that allow students to find their own connections between concepts. Having students create concept maps is a great way to have them show connections between concepts. Simple sentence starters or sentence frames like “Division reminds me of…” or “Volume is similar to ______ because ______. Volume is different from ______ because ______” give students the freedom to make their own connections. In their article about improving writing prompts in mathematics , authors Craig Sjoberg, David Slavit, and Terry Coon share a simple three-part prompt to help students make mathematical connections:

• Explain at least one thing you learned in math this week.
• How does your answer connect to other mathematical ideas?
• How do these ideas connect to the real world?

4. Supporting metacognition

In addition to all the ways to have students share their mathematical understanding, I also liked to use math journals as a means of reflection. Students can be prompted to consider how they engaged with an activity or a discussion, reflecting on what helped to move their thinking along, what may have confused them, and more. This can help them understand how they learn best.

Metacognition, or the awareness and regulation of your own thought processes, is a key component to creative problem solving (as opposed to rote following of procedures). There are several ways to incorporate this type of reflection into math class:

During a lesson

If you have students take notes in class, you can teach them to engage in note-taking/note-making activities where they write the main idea on one side of the paper and their thoughts, reactions, and connections on the other side of the paper.

After a lesson

Have students respond to one of the following prompts:

• Did you have any lightbulb moments during that lesson? What led to that moment?
• Is there anything that is still confusing to you?
• What did you know or think about this topic before today? How has your understanding changed?
• How might you have presented this topic to someone else?
• Did you need more time to work today? Was the activity too long or just right?

At the end of the week or at the end of the unit

Ask students to reflect on specific activities, lessons, or conversations they engaged in:

• Which one was the most interesting to you?
• Which one helped you understand something better? What did it help you understand better and why?
• Which one changed your thinking about a mathematical idea?
• Did any confuse you or leave you with new questions?

The wide world of mathematical writing

I have touched on only a few ways to think about writing in math class. Thankfully, there is an abundance of resources to help you explore a wide variety of ways to get your students writing about math. Here are just a few of them.

• “5 ways to use writing in the disciplines to support learning” This Learn. Grow. Post delves into ways to infuse writing in all content areas.
• “Writing in math” This article by Marilyn Burns provides examples of how to integrate writing in math class.
• Using writing in mathematics to deepen student learning This guide discusses the research supporting writing in math, explores different approaches to math writing, and provides prompts and samples of student writing.
• “8 ways to pose better questions in math class” Although the focus of this article isn’t strictly on writing, the tips and prompts provided can be applied to writing.
• “Integrating writing and mathematics” This Reading Rockets article shares multiple strategies and examples of student writing in math class.
• “Write on” This NCTM article discusses four categories of mathematical writing and provides prompts for each type.
• “Talking, writing, and reasoning: Making thinking visible with math journals” This Read Write Think lesson models how to incorporate journals into math activities and includes prompts designed to uncover students’ attitudes and dispositions toward math.
• “Journal prompts for elementary students” This resource contains three pages of math writing prompts.

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Should college essays touch on race? Some feel the affirmative action ruling leaves them no choice

The Associated Press

March 27, 2024, 12:09 AM

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CHICAGO (AP) — When she started writing her college essay, Hillary Amofa told the story she thought admissions offices wanted to hear. About being the daughter of immigrants from Ghana and growing up in a small apartment in Chicago. About hardship and struggle.

Then she deleted it all.

“I would just find myself kind of trauma-dumping,” said the 18-year-old senior at Lincoln Park High School in Chicago. “And I’m just like, this doesn’t really say anything about me as a person.”

When the Supreme Court ended affirmative action in higher education, it left the college essay as one of few places where race can play a role in admissions decisions. For many students of color, instantly more was riding on the already high-stakes writing assignment. Some say they felt pressure to exploit their hardships as they competed for a spot on campus.

Amofa was just starting to think about her essay when the court issued its decision, and it left her with a wave of questions. Could she still write about her race? Could she be penalized for it? She wanted to tell colleges about her heritage but she didn’t want to be defined by it.

In English class, Amofa and her classmates read sample essays that all seemed to focus on some trauma or hardship. It left her with the impression she had to write about her life’s hardest moments to show how far she’d come. But she and some of her classmates wondered if their lives had been hard enough to catch the attention of admissions offices.

“For a lot of students, there’s a feeling of, like, having to go through something so horrible to feel worthy of going to school, which is kind of sad,” said Amofa, the daughter of a hospital technician and an Uber driver.

This year’s senior class is the first in decades to navigate college admissions without affirmative action . The Supreme Court upheld the practice in decisions going back to the 1970s, but this court’s conservative supermajority found it is unconstitutional for colleges to give students extra weight because of their race alone.

Still, the decision left room for race to play an indirect role: Chief Justice John Roberts wrote universities can still consider how an applicant’s life was shaped by their race, “so long as that discussion is concretely tied to a quality of character or unique ability.”

“A benefit to a student who overcame racial discrimination, for example, must be tied to that student’s courage and determination,” he wrote.

Scores of colleges responded with new essay prompts asking about students’ backgrounds. Brown University asked applicants how “an aspect of your growing up has inspired or challenged you.” Rice University asked students how their perspectives were shaped by their “background, experiences, upbringing, and/or racial identity.”

WONDERING IF SCHOOLS ‘EXPECT A SOB STORY’

When Darrian Merritt started writing his essay, he knew the stakes were higher than ever because of the court’s decision. His first instinct was to write about events that led to him going to live with his grandmother as a child.

Those were painful memories, but he thought they might play well at schools like Yale, Stanford and Vanderbilt.

“I feel like the admissions committee might expect a sob story or a tragic story,” said Merritt, a senior in Cleveland. “And if you don’t provide that, then maybe they’re not going to feel like you went through enough to deserve having a spot at the university. I wrestled with that a lot.”

He wrote drafts focusing on his childhood, but it never amounted to more than a collection of memories. Eventually he abandoned the idea and aimed for an essay that would stand out for its positivity.

Merritt wrote about a summer camp where he started to feel more comfortable in his own skin. He described embracing his personality and defying his tendency to please others. The essay had humor — it centered on a water gun fight where he had victory in sight but, in a comedic twist, slipped and fell. But the essay also reflects on his feelings of not being “Black enough” and getting made fun of for listening to “white people music.”

“I was like, ‘OK, I’m going to write this for me, and we’re just going to see how it goes,’” he said. “It just felt real, and it felt like an honest story.”

The essay describes a breakthrough as he learned “to take ownership of myself and my future by sharing my true personality with the people I encounter. … I realized that the first chapter of my own story had just been written.”

A RULING PROMPTS PIVOTS ON ESSAY TOPICS

Like many students, Max Decker of Portland, Oregon, had drafted a college essay on one topic, only to change direction after the Supreme Court ruling in June.

Decker initially wrote about his love for video games. In a childhood surrounded by constant change, navigating his parents’ divorce, the games he took from place to place on his Nintendo DS were a source of comfort.

But the essay he submitted to colleges focused on the community he found through Word is Bond, a leadership group for young Black men in Portland.

As the only biracial, Jewish kid with divorced parents in a predominantly white, Christian community, Decker wrote he constantly felt like the odd one out. On a trip with Word is Bond to Capitol Hill, he and friends who looked just like him shook hands with lawmakers. The experience, he wrote, changed how he saw himself.

“It’s because I’m different that I provide something precious to the world, not the other way around,” he wrote.

As a first-generation college student, Decker thought about the subtle ways his peers seemed to know more about navigating the admissions process . They made sure to get into advanced classes at the start of high school, and they knew how to secure glowing letters of recommendation.

If writing about race would give him a slight edge and show admissions officers a fuller picture of his achievements, he wanted to take that small advantage.

His first memory about race, Decker said, was when he went to get a haircut in elementary school and the barber made rude comments about his curly hair. Until recently, the insecurity that moment created led him to keep his hair buzzed short.

Through Word is Bond, Decker said he found a space to explore his identity as a Black man. It was one of the first times he was surrounded by Black peers and saw Black role models. It filled him with a sense of pride in his identity. No more buzzcut.

The pressure to write about race involved a tradeoff with other important things in his life, Decker said. That included his passion for journalism, like the piece he wrote on efforts to revive a once-thriving Black neighborhood in Portland. In the end, he squeezed in 100 characters about his journalism under the application’s activities section.

“My final essay, it felt true to myself. But the difference between that and my other essay was the fact that it wasn’t the truth that I necessarily wanted to share,” said Decker, whose top college choice is Tulane, in New Orleans, because of the region’s diversity. “It felt like I just had to limit the truth I was sharing to what I feel like the world is expecting of me.”

SPELLING OUT THE IMPACT OF RACE

Before the Supreme Court ruling, it seemed a given to Imani Laird that colleges would consider the ways that race had touched her life. But now, she felt like she had to spell it out.

As she started her essay, she reflected on how she had faced bias or felt overlooked as a Black student in predominantly white spaces.

There was the year in math class when the teacher kept calling her by the name of another Black student. There were the comments that she’d have an easier time getting into college because she was Black .

“I didn’t have it easier because of my race,” said Laird, a senior at Newton South High School in the Boston suburbs who was accepted at Wellesley and Howard University, and is waiting to hear from several Ivy League colleges. “I had stuff I had to overcome.”

In her final essays, she wrote about her grandfather, who served in the military but was denied access to GI Bill benefits because of his race.

She described how discrimination fueled her ambition to excel and pursue a career in public policy.

“So, I never settled for mediocrity,” she wrote. “Regardless of the subject, my goal in class was not just to participate but to excel. Beyond academics, I wanted to excel while remembering what started this motivation in the first place.”

WILL SCHOOLS LOSE RACIAL DIVERSITY?

Amofa used to think affirmative action was only a factor at schools like Harvard and Yale. After the court’s ruling, she was surprised to find that race was taken into account even at some public universities she was applying to.

Now, without affirmative action, she wondered if mostly white schools will become even whiter.

It’s been on her mind as she chooses between Indiana University and the University of Dayton, both of which have relatively few Black students. When she was one of the only Black students in her grade school, she could fall back on her family and Ghanaian friends at church. At college, she worries about loneliness.

“That’s what I’m nervous about,” she said. “Going and just feeling so isolated, even though I’m constantly around people.”

The first drafts of her essay focused on growing up in a low-income family, sharing a bedroom with her brother and grandmother. But it didn’t tell colleges about who she is now, she said.

Her final essay tells how she came to embrace her natural hair . She wrote about going to a mostly white grade school where classmates made jokes about her afro. When her grandmother sent her back with braids or cornrows, they made fun of those too.

Over time, she ignored their insults and found beauty in the styles worn by women in her life. She now runs a business doing braids and other hairstyles in her neighborhood.

“I stopped seeing myself through the lens of the European traditional beauty standards and started seeing myself through the lens that I created,” Amofa wrote.

“Criticism will persist, but it loses its power when you know there’s a crown on your head!”

Ma reported from Portland, Oregon.

The Associated Press’ education coverage receives financial support from multiple private foundations. AP is solely responsible for all content. Find AP’s standards for working with philanthropies, a list of supporters and funded coverage areas at AP.org .

Copyright © 2024 The Associated Press. All rights reserved. This material may not be published, broadcast, written or redistributed.

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How To Write A Research Paper

Find Sources For A Research Paper

How to Find Sources For a Research Paper | A Guide

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Published on: Mar 26, 2024

Last updated on: Mar 25, 2024

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Research papers are an essential part of academic life, but one of the most challenging aspects can be finding credible sources to support your arguments. 

With the vast amount of information available online, it's easy to feel overwhelmed. However, by following some simple steps, you can streamline the process of finding reliable sources for your research paper . 

In this guide, we'll break down the process into easy-to-follow steps to help you find the best sources for your paper.

On This Page On This Page -->

Step 1: Define Your Topic and Research Questions

Before you venture into your quest for sources, it's essential to have a clear understanding of your research topic and the specific questions you aim to address. Define the scope of your paper and identify keywords and key concepts that will guide your search for relevant sources.

Step 2: Utilize Academic Databases

Academic databases are treasure troves of scholarly articles, research papers, and academic journals covering a wide range of subjects. Institutions often provide access to these databases through their libraries. Some popular academic databases include:

• IEEE Xplore
• Google Scholar

These databases allow you to search for peer-reviewed articles and academic papers related to your topic. 

Use advanced search features to narrow down your results based on publication date, author, and keywords .

Academic Resources Classified by Discipline

Here's a breakdown of prominent databases categorized by academic discipline:

Step 3: Explore Library Catalogs

Your university or local library's catalog is another valuable resource for finding sources. Library catalogs contain books, periodicals, and other materials that may not be available online. 

Use the catalog's search function to locate relevant books, journals, and other materials that can contribute to your research.

Step 4: Consult Bibliographies and References

When you find a relevant source, take note of its bibliography or make a list of sources for the research paper. These lists often contain citations to other works that may be useful for your research. 

By exploring the references cited in a particular source, you can uncover additional resources and expand your understanding of the topic.

Step 5: Boolean Operators for Effective Searches

Boolean operators are words or symbols used to refine search queries by defining the relationships between search terms. The three primary operators include "AND," which narrows searches by requiring all terms to be present; "OR," which broadens searches by including either term or both; and "NOT," which excludes specific terms to refine results further. 

Most databases provide advanced search features for seamless application of Boolean logic.

Step 6: Consider Primary Sources 

Depending on your research topic, primary sources such as interviews, surveys, archival documents, and original data sets can provide valuable insights and support for your arguments. 

Primary sources offer firsthand accounts and original perspectives on historical events, social phenomena, and scientific discoveries.

Step 7: Evaluate the Credibility of Sources

Not all sources are created equal, and it's crucial to evaluate the credibility and reliability of the information you encounter. 

Consider the author's credentials, the publication venue, and whether the source is peer-reviewed. Look for evidence of bias or conflicts of interest that may undermine the source's credibility.

Step 8: Keep Track of Your Sources

As you gather sources for your research paper, maintain a systematic record of the materials you consult.  Keep track of bibliographic information, including author names, publication dates, titles, and page numbers . This information will be invaluable when citing your sources and creating a bibliography or works cited page.

Other Online Sources

In addition to academic databases and library catalogs, exploring popular online sources can provide valuable insights and perspectives on your research topic.  Here are some types of online sources you can consider:

Websites hosted by reputable organizations, institutions, and experts (such as the New York Times) can offer valuable information and analysis on a wide range of topics. Look for websites belonging to universities, research institutions, government agencies, and established non-profit organizations.

Crowdsourced Encyclopedias like Wikipedia

While Wikipedia can provide a broad overview of a topic and lead you to other sources, it's essential to verify the information found there with more authoritative sources. 

Use Wikipedia as a starting point for your research, but rely on peer-reviewed journal articles and academic sources for in-depth analysis and evidence.

Tips for Assessing the Credibility of Online Sources

When using online sources, it's important to exercise caution and critically evaluate the credibility and reliability of the information you find. Here are some tips for assessing the credibility of online sources:

• Check the Domain Extension: Look for websites with domain extensions that indicate credibility. URLs ending in .edu are educational resources, while URLs ending in .gov are government-related resources. These sites often provide reliable and authoritative information.
• Look for DOIs (Digital Object Identifiers): DOIs are unique alphanumeric strings assigned to scholarly articles and indicate that the article has been published in a peer-reviewed, scientific journal. Finding a DOI can help you assess the scholarly rigor of the source.
• Evaluate the Authorship and Credentials: Consider the qualifications and expertise of the author or organization behind the website or blog. Look for information about the author's credentials, affiliations, and expertise in the subject matter.
• Consider the Currency and Relevance: Assess how up-to-date the information is and whether it aligns with the scope and focus of your research. Look for recent publications and timely analyses that reflect current trends and developments in the field.

Wrapping it up!

Finding sources for your research paper may seem like a challenge, but by following these steps, you can locate credible sources to support your arguments and enhance the quality of your paper. 

By approaching the research process systematically and critically evaluating the information you encounter, you can produce a well-researched and compelling research paper.

If you are struggling with finding credible sources or have time constraints, do not hesitate to seek writing help for your research papers . CollegeEssay.org has professional writers ready to assist you. 

Connect with our essay writing service now and receive expert guidance and support to elevate your research paper to the next level.

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For more than five years now, Cathy has been one of our most hardworking authors on the platform. With a Masters degree in mass communication, she knows the ins and outs of professional writing. Clients often leave her glowing reviews for being an amazing writer who takes her work very seriously.

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EssayWriter Review: Best AI Essay Writer to Help You Write Better Essays

Wondering if EssayWriter is an ideal AI essay writer to create high-quality essays? Check out this article to learn more about its AI essay writing features.

• March 17, 2024

Essay writing has long been a cornerstone of academic pursuit. It demands expertise in the subject matter and the ability to articulate thoughts effectively and persuasively.

With the advent of the digital age and the increasing demand for high-quality writing, tools like EssayWriter have become immensely popular. 

EssayWriter, an AI essay writer, offers a helping hand by providing a wealth of features designed to enhance the essay writing and research process.

Students and professionals alike have turned to EssayWriter to streamline their writing workflow and channel more focus into research and idea development.

If you need an AI essay writing tool to assist you in writing essays, check out this EssayWriter guide to see if it is an ideal option for you.

EssayWriter overview

EssayWriter stands at the forefront of AI essay generators designed to assist in the creation of well-structured essays and research papers.

It harnesses the power of AI to offer support in various aspects of writing, from idea generation to stylistic and grammatical refinement.

The user base of EssayWriter is extensive, encompassing students, educators, researchers, and professionals across diverse disciplines.

Essentially, it addresses the needs of anyone seeking support in writing essays, research papers, or any other content that requires coherence, clarity, and adherence to academic standards.

What can EssayWriter be used for?

EssayWriter proves exceptionally advantageous for essay writing. It facilitates users’ formulating ideas and meticulously creating well-structured and seamlessly coherent essays.

Beyond essay writing, EssayWriter extends its utility seamlessly into the realm of research writing. The AI essay generator becomes an invaluable companion, aiding users in structuring and refining ideas for research papers. 

From the nascent stages of brainstorming to the culmination of the final output, EssayWriter offers continuous support, enhancing the overall research writing process.

Key features of EssayWriter explored

EssayWriter offers multiple useful features to help you create high-quality and well-researched essays:

Essay writing and editing tools

Writing an essay from scratch may be difficult for some students. But EssayWriter makes it easy. It can create outlines, titles, abstracts, and introductions with a simple prompt.

Additionally, EssayWriter offers an AI auto-complete feature that assists users by providing suggestions and insights to end writer’s block and enhance writing quality.

Research and citation support

Beyond essay writing, EssayWriter assists users in streamlining their research process. This is made by offering a research feature that contains extensive. 

It also helps manage citations and ensure that all sources are acknowledged correctly, adhering to common citation formats like APA, MLA, and Chicago.

Multilingual assistance

Expanding its utility, EssayWriter provides support in several languages, thus accommodating non-native English speakers and allowing for greater accessibility in essay construction.

Grammar and plagiarism check

The grammar-checking feature within EssayWriter helps ensure that the text is error-free, lending credibility and polish to the writing.

Moreover, there’s an inbuilt plagiarism detection system that helps maintain the originality and integrity of the work by alerting users to any text that may require proper citation.

Using EssayWriter: A step-by-step guide

EssayWriter is designed to be user-friendly and only takes a few steps to write an essay:

• Generate ideas and draft: Start your essay using EssayWriter’s AI-powered writing tools to brainstorm ideas and effortlessly draft content within the editor.
• Explore, research, and cite: Use the integrated academic database to research and gather relevant information. Then, use the gathered data to cite sources that support your essay’s key points.
• Refine and export: Polish your essay with AI editing tools, addressing grammar and style. Once satisfied, export the finalized version to PDF or DOC for a professionally formatted and submission-ready document.

Pros of EssayWriter

User-friendly interface.

EssayWriter stands out for its intuitive user interface and straightforward execution, catering to individuals with varying levels of expertise. Users consistently appreciate its accessibility and ease of use.

Performance excellence

Demonstrating commendable performance, EssayWriter ensures a reliable and consistent output, establishing itself as a dependable tool for academic or professional tasks.

Flexible pricing plan

EssayWriter’s pricing model offers a range of options, including both free and paid subscriptions. This flexibility ensures users can choose plans that align with their specific needs, providing excellent value for their investment.

Responsive customer support

EssayWriter prioritizes user support, with dedicated representatives available to address questions or concerns. This commitment to customer service enhances the overall user experience.

Limitations and effective solutions with EssayWriter

Generation speed challenges

Some users may find the line-by-line generation approach to be slower. However, users can navigate this challenge by integrating traditional writing methods alongside EssayWriter for more optimal results.

Overcoming limited features on the free plan

While the free plan offers substantial functionality, it does have limitations. Subscribing to paid plans unlocks broader features, allowing users to overcome constraints and access additional capabilities.

Enhancing tool efficiency with workarounds

Users can enhance the efficiency of EssayWriter by importing their work and utilizing the tool’s features to refine and develop content, even if initially confronted with constraints.

Final thoughts

Factors such as feature range, accuracy, adherence to academic integrity, reliability, and cost-effectiveness must be considered when selecting an AI tool for academic writing.

EssayWriter may not be a one-size-fits-all solution, but its capabilities make it a strong candidate for those looking to enhance the academic writing process and manage research efficiently.

Try this AI essay writer today to improve your essay writing!

Have any thoughts on this? Drop us a line below in the comments, or carry the discussion to our  Twitter  or  Facebook .

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