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
- 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:
- 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 algebra.
- Investigate the peculiarities of Fermat’s last theorem.
- What are the essentials of 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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17 Prompts for Writing in Mathematics—and Why It Even Matters
Writing in mathematics was something I did once a year. You read that right: once.
In Texas, there are state-mandated writing samples that need to be collected across the content areas for students who are emergent bilinguals. At the small schools I taught at, these writing samples were completed by all students so as to not stigmatize those students who they were required for.
So, once a year, I would think up some sort of writing prompt relevant to mathematics, have my students respond to it for 5-10 minutes, collect the writing samples, and dutifully hand them in. Check. That. Box.
Y’all, I didn’t even know what I was missing.
Then, one year I sat down and read the writing samples before I turned them in. Like, really read them.
It was incredible to see what my students knew, what they didn’t know (but I thought they knew), and how they expressed themselves in writing.
That was a turning point for me. I saw how writing in mathematics allowed my students to make sense of their own thinking and provided me with incredible insights into what my learners did and didn’t know.
This blog post explores:
- why writing in mathematics matters
- prompts you can use to get your students writing tomorrow
Let’s jump in!
Writing in Mathematics: Why It Matters
Writing engages all learners.
Writing is a way to engage all learners in mathematical thinking at the same time. An entire class of students cannot talk about mathematics at the same time, but they can write about mathematics at the same time (Tuttle, 2005). This is an incredibly powerful way to engage and assess all learners’ thinking.
Writing Helps Us Make Sense
Have you ever been overwhelmed with all of the things you need to do? Thoughts just swim through your mind, jumping from one Oh, I can’t forget to do that! to the next. What do you do to help you manage these thoughts? Many of us write them down . Making a list often helps us get ahold of what needs doing and focus on our next steps. Writing has this kind of power.
Tuttle (2005) explains how writing helps us parse through and make sense of our thoughts:
“Students need to untangle what is in their own minds first, get it on paper, and then share their thinking with others.” (p. 29)
Writing helps us capture the multitude of related ideas we have in our heads, bring them together in a coherent story, and realize what gaps we have in our learning or what parts of an idea are still unclear to us.
Writing Helps Us Learn
Related to the previous point, writing helps us learn. Writing about mathematics requires a different sort of thinking than other mathematical verbs such as graphing, solving, and representing.
Tuttle (2005) explains it this way:
“Written explanations in mathematics are about what is being done and why it works. The type of thinking involved in justifying a strategy or explaining an answer is quite different from that needed to merely solve an equation. The process of writing about a mathematics problem will itself often lead to a solution. ” (p. 27)
Writing provides students with opportunities to need and use relevant mathematical vocabulary that otherwise might be the sole domain of the teacher. Writing helps us consolidate our learning, as we practice using new words to describe new ideas.
As NCTM describes in Principles and Standards for School Mathematics (2000):
“Writing in mathematics can also help students consolidate their thinking because it requires them to reflect on their work and clarify their thoughts about the ideas developed in the lesson.” (p. 61)
I love this language from NCTM, as well, as they encourage us to nurture written communication:
Reflection and communication are intertwined processes in mathematics learning.
We cannot truly learn something without somehow communicating about it. Writing is a great way to reflect on, communicate, and learn mathematics.
Student Writing Provides Incredible Insights to the Reader/Teacher
Student writing is not just for the students’ benefit. Remember my big aha when I finally read my students’ state-mandated writing samples? I couldn’t believe all that I learned from those excerpts.
Student writing is incredibly informative for the reader. It helps us understand the why (and not just the how ) of our students’ thinking. Students may be performing certain mathematical computations correctly, but they might have underlying conceptions that are partly false. Writing brings students’ understandings (in their incomplete, real, and still emerging form) to the surface, allowing us to know a lot more about what our students think.
17 Prompts for Writing in Mathematics
Here are 17 prompts for writing in mathematics sorted by the type of thinking, with examples interspersed throughout. I’ve included a PDF download of these 17 prompts later in this post. Be sure to download that for easy reference!
Mathematical Noticing & Inferring
Given a mathematical representation such as the table shown at right:
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What students think as well as how they think can at times be amusing, but also somewaht disconcerting.
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Math Essay | Essay on Math for Students and Children in English
January 13, 2021 by Prasanna
Math Essay: Mathematics is generally defined as the science that deals with numbers. It involves operations among numbers, and it also helps you to calculate the product price, how many discounted prizes here, and If you good in maths so you can calculate very fast. Mathematicians and scientists rely on mathematics principles in their real-life to experiments with new things every day. Many students say that ” I hate mathematics ” and maths is a useless subject, but it is wrong because without mathematics your life is tough to survive. Math has its applications in every field.
You can also find more Essay Writing articles on events, persons, sports, technology and many more.
Long and Short Essays on Math for Students and Kids in English
We are presenting students with essay samples on an extended essay of 500 words and a short of 150 words on the topic of math for reference.
Long Essay on Math 500 Words in English
Long Essay on Math is usually given to classes 7, 8, 9, and 10.
Mathematics is one of the common subjects that we study since our childhood. It is generally used in our daily life. Every person needs to learn some basics of it. Even counting money also includes math. Every work is linked with math in some way or the other. A person who does math is called a Mathematician.
Mathematics can be divided into two parts. The first is Pure mathematics, and the second is Applied mathematics. In Pure mathematics, we need to study the basic concept and structures of mathematics. But, on the other side, Applied mathematics involves the application of mathematics to solve problems that arise in various areas,(e.g.), science, engineering, and so on.
One couldn’t imagine the world without math. Math makes our life systematic, and every invention involves math. No matter what action a person is doing, he should know some basic maths. Every profession involves maths. Our present-day world runs on computers, and even computer runs with the help of maths. Every development that happens requires math.
Mathematics has a wide range of applications in our daily life. Maths generally deals with numbers. There are various topics in math, such as trigonometry; integration; differentiation, etc. All the subjects such as physics; chemistry; economy; commerce involve maths in some way or the other. Math is also used to find the relation between two numbers, and math is considered to be one of the most challenging subjects to learn. Math includes various numbers, and many symbols are used to show the relation between two different numbers.
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.
Some of the advantages of Math in our daily life
- Managing Money: Counting money and calculating simple interest, compound interest includes the usage of mathematics. Profit and loss are also computed using maths. Anything related to maths contains maths.
- Cooking: Maths is even used in cooking as estimating the number of ingredients that have to be used is calculated in numbers. Proportions also include maths.
- Home modelling: Calculating the area is essential in the construction of the home or home modelling. The size is also measured using maths. Even heights are also measured using maths.
- Travelling: Distance between two places and time taken to travel also includes maths. The amount of time taken revolves around maths. Almost every work is related to maths in some way or another. Maths contains some conditions that need to be followed, and maths has several formulas that have to be learned to become a mathematician.
Short Essay on Math 150 Words in English
Short Essay on Math is usually given to classes 1, 2, 3, 4, 5, and 6.
Maths is generally defined as the science of numbers and the operations performed among them. It deals with both alphabets along with numbers and involves addition, subtraction, multiplication, division, comparison, etc. It is used in every field. Maths consists of finding a relation between numbers, calculating the distance between two places, counting money, calculating profit and loss.
It is of two types pure and applied. Pure math deals with the basic structure and concept of maths, whereas applied mathematics deals with how maths is used it involves the application of maths in our daily life. All the subjects include maths, and hence maths is considered to be one of the primary and joint issues which need to be learned by everyone. One couldn’t imagine their life using maths. It has made our experience easy and straightforward. It has prevented chaos in our daily life. Hence learning maths is mandatory for everyone.
10 Lines on Math in English
- Father of Mathematics was Archimedes.
- Hypatia is the first woman know to know to have taught mathematics.
- From 0-1000 ,letter “A” only appears first in 1,000 ( “one thousand “).
- Zero (0) is the only number that can not be represented by Roman numerals.
- The Sign plus (+) and Minus(-) were discovered in 1489 A.D.
- Do you know that a Baseball field is of the perfect shape of a Rhombus.
- Jiffy is considered to be a unit of time for 1/100th of a second.
- 14th March International Day of Mathematics.
- Most mathematics symbols weren’t invented until the 16th century.
- The symbols for the division is called an Obelus.
FAQ’s on Math Essay
Question 1. What is Mathematics in simple words?
Answer: Mathematics is the study of shapes, patterns, numbers, and more. It involves a comparison between two numbers and calculating the distance between two places.
Question 2. Do we need mathematics every day?
Answer: Yes, we need mathematics every day, from buying a product to sell anything you want. Maths is present in our daily life, and no matter what work we do, maths is involved, and the application of maths is current in our everyday life.
Question 3. Who was the No.1 Mathematicians in the world?
Answer: Isaac Newton, who was a profound mathematician, is considered to be one of the best mathematicians in the world.
Question 4. What are the applications of maths?
Answer: Maths have various applications in our daily life. Maths is present everywhere from counting money to the calculating distance between two places. We could find math applications around.
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FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY
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Our free mathematics essay examples include popular topics such as algorithms, applied mathematics, calculus, knot theory, linear algebra, and more.
The Banach-Tarski paradox
Mathematics is seen by many as a mysterious and often unsettling subject. Answers often hide behind layers and layers of complicated equations, formulas and ciphers, the application of advanced concepts to real life is limited and I often find myself more confused after class than when I first entered. However, the real beauty of Mathematics … Read more
Pascal’s triangle, binomial theorem
What is Pascal’s Triangle? Pascal’s Triangle was named after Blaise Pascal. Pascal’s triangle starts with the number 1 and goes down the scale. When you start with one, add more numbers in a triangular shape, like a pyramid of some sort. All the numbers on the surrounding right and left sides of the triangle are … Read more
My journey of teaching and learning mathematics since embarking on a PGCE Mathematics course
Before I came to study a Post Graduate Certificate (PGCE) Mathematics course at University College London Institute of Education (UCL IOE), I had been working as an Academic Tutor at a behavioural centre, linked to a mainstream secondary school for the past 7 months. Students placed here had either learning difficulties or behaviour issues experienced … Read more
Aircraft – mathematics
Math SL Internal Assessment Lift and Drag Introduction When you look at aircrafts, they look like they shouldn’t be able to leave the ground because of how big they are. I always watched aircrafts, take off and land, over and over. According to Newton’s Third Law, every action has an equal and opposite reaction, lift … Read more
The World of Mathematics
Mathematics is often considered a useless discipline because people think they do not use advanced math in their life. It is a misunderstanding. Not using advanced math does not mean it is not vital. If you trade stocks, you will read many stock analysis reports. These reports use mathematical knowledge. Many students in the United … Read more
The history of algebra
We all use algebra. Even if it’s for the simple stuff, we use some form of algebra in our everyday lives. While reading chapters 1-10, I came across the word algebra and became quite curious about the subject for I have never really understood nor cared for it honestly, I just figured it’s the usual … Read more
Mathematics belongs to the science discourse community. The word science means knowledge and comes from the Latin “Scientia”. In university, science is made up of a lot of discourse communities, such as Mathematics, Physics, and Chemistry. By searching the definition of science in Webster’s New Collegiate Dictionary, science is “knowledge covering general truths of the … Read more
Niels Henrik Abel
For over two centuries, mathematicians had trouble in finding a solution to the quintic equation, that is until Niels Henrik Abel formulated a theory. Abel was a Norwegian mathematician born on August 5, 1802, and his talent and potential in the field of mathematics was already present at a young age, leading him to become … Read more
The narrative of zero
Numbers surround us. They stamp our days, light our evenings, foresee our climate, and keep us on course. They drive business and support human progress. The beginning of the numerals makes disarray between the historical backdrop of mathematics and the historical backdrop of our modern numerals. The narrative of zero alludes to something can be … Read more
She was more than a mathematician to the people she met and to the people she inspired. She even has managed to inspire people long after she has passed. Emmy Noether was born on March 23, 1882 in Bavaria Germany. Growing up she wanted to go to college but back then women weren’t allowed to … Read more
Bitopological Approximation Space with Application to Data Reduction in Multivalued Information Systems
Abstract: In this work we generalize Pawlak approximation space to bitopological approximation space. One binary relation can define two subbases of two topological spaces. Membership, equillity and inclusion relations using rough approximations are defined and studied in bitopological aapproximation space. Some new measures that measure the accuracy and the quality of approximations are defined and … Read more
Statistics is a form of mathematical analysis that uses quantified models, representations and synopses for a given set of experimental data or real life studies. Statistical analysis involves the process of gathering and evaluating data and then summarizing the data into a mathematical form. Statistics is a term used to summarize a process that a … Read more
Numerical Weather Prediction
You turn on the television, and often the first channel that pops up is the weather. It’s going 24/7 with predictions that go from weekly all the way down to hourly, with conditions that go from humidity to temperature. But what goes on behind the scenes is heavily entrenched in mathematics– meteorology’s backbone is a … Read more
The Mathematics of Our Universe
Abstract In this report, we start by defining key aspects of classical Lagrangian mechanics including the principle of least action and how one can use this to derive the Euler-Lagrange equations. Momentum and Conservation laws shall also be introduced, deriving relations between position, momenta and the Lagrangian of a given system. Following this, we develop … Read more
Teaching of mathematics
INTRODUCTION As mathematics is a compulsory subject upto the secondary level, access to quality mathematics education is the right of every child. Developing children’s abilities for mathematisation is the main goal of mathematics education. In the words of David Wheeler, it is âmore useful to know how to mathematise than to know a lot of … Read more
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202 Math Research Topics: List To Vary Your Ideas
Mathematics is an exceptional field of study dealing primarily with numbers. It also deals with structures, formulas, shapes, spaces, and quantities of where they are contained.
Maths encompasses different types of computations that are applied in the real world.
Math requires a lot of analysis. This is why there are different types of maths. They all encompass different subjects and deal with different things. What are the types of maths?
Arithmetic This is perhaps the commonest type or branch of maths. It is one of the oldest and it encompasses basic numbers operations. These are addition, subtraction, multiplication, and divisions; in some schools, the short word for it is BODMAS. This is known as the Bracket of Division, Multiplication, Addition, and Subtraction. Algebra This is where unknown quantities are represented by alphabets and used along with numbers. The letters these unknown quantities are represented by are usually A, B, X, and Y, and they could also be symbols. Geometry This is considered one of the practical branches of maths as it examines sizes, shapes, figures, and the features of these entities. The most common parts of geometry are lines, points, solids, surfaces, and angles.
There are many other types but the above are the most popular. Others are trigonometry, topology, mathematical analysis, calculus, probability, statistics, and a few others.
As many students find it hard to develop maths research topics on their own, this is a chance for you. It’s okay to be worked up when you can’t find undergraduate math research topics that fit your project, essay or paper choices. This article will provide custom maths education research topics for your use. Before that, how do you structure your math essay or paper?
How to Structure Your Math Essay or Paper
Structuring your essay or paper may require that you’ve been reading critical math journals. Reading them could have made it easy to understand how to structure your paper. However, you don’t have to worry if you haven’t. Structuring your paper as expected is an essential part of writing and you’ll know about it in this section. Before you learn that, how do you choose a topic?
Choosing a Topic to Discuss
One of the difficult yet significant parts of any math essay or paper is choosing your topic. This is because you need to solve a problem or engage in a subject that has got less attention. You also need to understand the background to the subject you want to discuss as you can’t write blindly.
You must also be able to articulate your thoughts well as you must show visible knowledge before you commence the research and writing. How do you go about this? You can consider reading existing research. You can even take notes during classes to see the areas you think more work needs to be done.
After choosing your topic, conduct your research to see if you can investigate the sphere. If you can, you need to structure your research thus:
The Background This includes the discussion on what the essay is about. Depending on what you’re writing about, you need to discuss the primary concepts, including the history of some terms, where essential, in this section. This section is more like general information about the subject you want to discuss with your paper. This helps your readers familiarize themselves with your intended discussion. The Introduction This is where the main ideas behind your essays (and the solutions you hope to proffer) are tended to the readers. This is where you also explain the symbols you’ll use and the principles which are required in your essay. Aside from this, you need to state the basic issues, the solutions you could offer, the laws which are essential to discuss to make your work comprehensible. The Main Body This is where you elaborate on your findings. You need to state the research problem, the formulas, the theories you’ll use in tackling the problem, and many other things. You also need to introduce different sections of maths into the main body which is divided by paragraphs and/or chapters as well as mathematical analysis where needed. Implications This is the last part of your essay or paper. This is where you share the insights of your research with your readers. You offer short explanations of the things you have discussed. If you have treated a subject in applied mathematics, this is where you give summaries of how math is connected to human life and the strategic importance of these to people.
By adhering to this structure, you would have crafted the best rated and high-quality maths paper. Furthermore, remember you always have an option to get help with dissertations and save your time. Since it is sometimes challenging to choose cool maths topics to research on your own, these are some for you:
Research Topics in Math
Math is a broad subject. There is a study of the history of math as well as its influence in education, amongst many other sub-sections. If you’d like to create stunning research, you may choose to discuss any of these research topics in math to fulfill one of your academic requirements:
- What are the distinctions between commutative and noncommutative algebra?
- Discuss the methods of factoring quadratics
- Types of sequences and your understanding of them
- Partial fractions: what are they and how do they work?
- Logarithms: what are they and how do they work?
- An overview of Gaussian elimination
- An overview of Brun’s constant relevant
- A description of the effect of dyscalculia on daily student lives
- Describe Descartes’s Dukes of Signs and their application
- Greeks and geometry: discuss
- Describe Euler’s formula
- The progression in the study of math
- Congruence meaning and methods
- Describe the correlation of CT scans to geometry
- Hypercubes and how they work
- The basis of Cramer’s rule
- The examination of Archimedean solids
- Projective geometry and why it’s studied
- Types of Transformations and the available types
- Picasso’s works and the application of geometry
- Difference between the conventional and unconventional approaches to teaching
- Math education and the process of Improvement in the US
- Rhombicosidodecahedron and how it operates in real life
- What are the STEM career fields and why are they important?
- Why women are needed in STEM
- The goals of teaching maths
- How to teach maths to special students
- The correlation between maths and accounting
- The distinction between computer programming and applied maths
- Applied maths and its dynamics
- Processes of solving Heesch’s problem
- Why should kids learn equations?
- History of calculus
- Why there is a need for math camps in schools
- The need for more maths competition in the US
- Methods of draining flight schedule for a country
- Why are some math problems unsolved?
- Discuss the consequences of the gender gap in math students
- Encryption and prime numbers: how do they apply?
- The significance of maths in day to day living.
Undergraduate Math Research Topics
As an undergraduate, you may also have a difficult time wrapping your head around math research topics. You may need to offer both practical and theoretical assessments while writing your paper or essay. The following are undergraduate math research topics:
- Show the proofs of what F-algebras are used
- Abstract algebra, what does it mean?
- Algebra and geometry: discuss
- Acute square triangulation: how it works
- Right triangles: discuss their importance
- Discuss number problems
- Why every math student should study non-Euclidean geometry
- Dirac manifolds and what it means
- Influence of geometry in physics, chemistry, and others
- The application of Riemannian manifolds in the Euclidean space
- How to improve your mathematical thinking ability
- Technology in maths: how is it used?
- Studies of maths in Europe
- Math anxiety and what it truly means
- Standardized testing and the goals of such
- Challenges of learning maths from public schools
- The significance of circles in maths
- The political and social significance of learning maths
- Research into how to increase student interest in maths
- How painting and drawing could help with maths
- Relationship of culture and maths
- History of algebra
- Role of maths in everyday life
- How math is used in Artificial intelligence
- The transferable belief model and its application
- An analysis of the Dempster-Shafer theory
- The role of continuous stochastic process in mathematics
- The major math theorems: discuss how they work
- Understanding the Gauss-Markov: The Evolution of maths
- Discrete random variable: an in-depth understanding of what it means in math and how to identify one.
Math Research Topics for High School Students
As a high school student writing a research paper, one way to get high grades is to write what you know. If you know any math research paper topics for high school, they are the topics you should pick. You can consider:
- Hyperbola: what it is and how it’s used in math
- When to use a calculator in class
- How to find solutions to linear equations
- The need for Pythagoras theorem in maths
- The role of art in maths and vice versa
- Role of philosophy in maths
- An overview of numerical data
- Egyptian mathematics explained
- Binomial theorem and its importance
- Probability, and how to solve a question on dice
- Why is math made compulsory in schools?
- Why do students hate maths?
- Why do students hate math teachers?
- How is math applied in the workplace?
- What are imaginary numbers and why are they needed
- How to calculate the interest rate and what is their importance in the banking sector?
- Discount factor: how is it achieved and why is it important for students?
- Types of techniques to be used while finding solutions to mathematical and finance gaps
- Solving a matrix: what are the important formulas and principles to embrace?
- How to create a chart on a company’s financial analysis for the past 5 years.
Interesting Math Research Topics
Writing a mathematical essay may seem complex to you if you can’t find simple topics to write about. There are many easy topics which are also general in maths. If you want to choose a relaxing topic for your math essay or paper, you can write about the following:
- The basic elements of Boolean algebra
- The life, time, and contribution of Isaac Newton to maths
- Sphericon and what it means
- Martingales and what they mean
- Hyperboloid and importance in geometry
- Describe the life, times, and contribution of Gauss to maths
- The most famous work of Jakob Bernoulli
- The most famous work of Jean d’Alembert
- Meaning and application of calculus in the banking field
- The meaning of congruence in math
- Analysis of De Finetti theorem in probability and statistics
- Describe Egyptian pyramids in concert with calculus
- Describe the enclosing sphere technique as used in combinatorics
- Tree automation meaning
- Pushdown automaton and Buchi automaton: differences and similarities
- What is the Markov algorithm?
- Describe what a Turing machine is
- What is the linear speedup theory in math?
- The Boolean satisfiability problem and what it means for students
- Why is the multiplication table important?
- Computational maths and its classes
- What does the post correspondence problem mean?
- What does the Scholz conjecture mean?
- How to calculate mean, median, and mode
- A study of the most difficult equations in math.
Cool Math Topics to Research
As a student of any level, you may love to create math topics that are not exactly complex. These are topics that lean on the history of maths, math education research topics, and others. Consider these math research topics for college students for your next essay or paper:
- Discuss what the Golden Ratio means in the paintings of the Renaissance period
- How to learn math
- An overview of the multiple ideas to probability
- How chess and checkers is essential in understanding mathematics
- How Pythagorean theorem is applied in real-life maths
- How to measure infinity
- The features of Mobius strip in geometry
- Describe what is meant by the Pascal’s Triangle
- Evaluate the Georg Cantor set theory
- What is the history of the number types?
- How does probability relate to card tricks?
- Compare and contrast abstract and universal algebra
- Describe Euclid’s role in the evolution of maths
- Evaluate the role of Indians in maths
- Explain the limits of calculus
- Discuss what predictive and prescriptive statistical analysis means
- What does chaos theory mean?
- Explain how to solve the Rubik’s Cube
- Why are some math equations so complex?
- How is geometry used in contemporary architectural designs?
Math Research Topics for Middle School
It’s okay to be worried about math topics for your research as a middle school student. There are still different unique topics that are rebranded from existing ones. You can find some of the right math research paper topics for you here:
- The role of statistics in business
- Definition of economic lot scheduling
- Why stock market crash
- The contribution of many traders in the New York Stock Exchange
- Revenue management and its history
- What are the financial indicators of a good investment?
- What are the odds of depreciation?
- How can any country benefit from the poor currency?
- Describe debt amortization and how math helps
- How to calculate net worth
- Distinctions in calculus, trigonometry, and algebra
- How did calculus start?
- How did trigonometry start?
- Why is Ito stochastic important in math?
- What do limits in math mean?
- How to know critical points in graphs
- What does nonstandard analysis in the probability theory mean?
- Describe continuous function
- The main principles of calculus
- The main principles of Pythagoras theorem
- Application of calculus in finance
- Value theorem in math
- Ratio and root test definition
- Linear approximations and how they work
- What is the Jacobson density theorem?
- Similarities and differences between epimorphisms and monopolists
- What does the Artin-Wedderburn theorem mean?
- Commutative ring and its meaning in algebra
- How difficult is it to teach maths?
- How standards examination curriculum affects math education.
Applied Math Research Topics
Applied math is a branch which deals with the application of mathematical methods in real life. These are manifested by applications in finance, physics, engineering, biology, medicine, and others. Through specialized knowledge, applied math is made possible. These are some topics for you in this area:
- How discovering genes can help determine healthy and unhealthy patients
- Role of algorithms in probabilistic modeling
- The need for mathematicians in developing robots
- The role of mathematicians in crime data analysis and prevention
- How did Isaac’s Laws of Motion help in real life?
- How math helped with energy conservation
- The role of math in quantum theory
- Analyze the features of the Lorentz symmetry
- Evaluate statistical signal processing in details
- Discuss how Galilean Transformation was achieved
- Examine nonlinear models
- Elucidate on the importance of data mining in banking
- The importance of step-stress modeling
- The significance of computer tomography
- What are the dimensions used in examining fingerprints?
Math Research Topics for College Students
As college students, you are at a critical level. You need maths topics for your essays and paper. You may also need them to prepare for your exams. These are some math research topics for you:
- Evolution of mathematics
- Explore the varieties of the Tower of Hanoi solutions
- Discuss how to use Napier’s bones
- Give examples of chaos theory and explain
- Discuss the important mathematical equations of all times
- Examine the nitty-gritty of barcodes
- What is the Traveling Salesman Problem?
- Natural selection and Fisher’s fundamental theorem of understanding it
- The Influence of math in biology
- The Influence of math in chemistry
- What is quantum computing?
- How to solve extremal problems in maths
- Analyze the meaning of fractals
- Discuss Einstein’s field equation theory
- Who created computer vision and object recognition?
- Five formulas and how they are applied
- Give three approaches to understanding maths
- Explain the origin and importance of algebra
- What do you know about the Fibonacci sequence?
- Trace the origin of math
- How does math help in geography?
- What does the operator spaces notion mean?
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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
- Solving Math Solutions Manuals
- Do Americans Really Stink At Math?
- What the World Would Look Like Without Math
- Graduation Speech: Math And Technology
- Advanced Math Solutions
- Is math really a science?
- The Common Causes of Math Anxiety
- Is There a Relation Between Music and Math?
- Can Math alter the brain map of students?
- Egyptian Math
- How to Overcome the Common Problems Students Face in Maths
- Encouraging Girls in Math and Science
- What Is Math Learning Disability?
- Teaching Math: A College Teacher
- Math Is All Around Us
- How to overcome your fear of Math
- The Role of the Proof in Math
- Can Expressive Writing Improve the Performance of Students in Math Test
- The math in basketball
- Math is the Universal Language
- My Experience With Learning Math
- Ways Of Imparting Math Skills
- Engagement in Math in Second Graders
- Math Solutions
- Pythagora’s Contributions to Math
- How the FBI Uses Math
- Math Coursework
- Qualities That Make a Math Teacher Great
- Math in Special Education
- Elementary School Math Lesson Plan
- Math Problems That Don’t Seems to Have Solutions
- How the knowledge of Maths has changed the world
- The New Math of Gambling
- My Experience With Math Class
- The World Of Science And Math
- Math Intervention for State Exams
- How math applies to our daily lives
- Behavior Of The Logistic Equation
- New Technologies That Assist Students With Math Problems
- Statistics On Math
- Math in Medieval Times
- Mathematical Analysis
- Coming From A Math Background
- Gender Equity in Math
- Vertex-Edge Graphs Tutoring
- Mathematical principles that everyone applies unconsciously
- The History of Mathematics in Europe
- Math, Architecture, And Games
- Why Is Math Important for Success?
- The Role of Recreational Math
- What Students Can Do About Math Anxiety
- Who should learn math?
- Math And Owning A Restaraunt
- Math Is A Problem Solving Attitude
- Use of Math in Auto Racing
- How Math Is Raising Our Standard Of Living Every Day
- The Issue of Bad Math
- The Impact Of Music On Math Performance
- The Relationship Between Psychology and Math
- Asian Student‘s Math Test
- The solution of the Cubic Equation
Get Help from the Experts with your Math Essay Topics Paper
We know that you want to ace your math essay, but it can be challenging coming up with a topic. You need help from an expert! Let us provide the perfect solution for all of your math-related problems. We have professional writers who are experienced in writing high school and college-level essays on any subject imaginable. Our company is dedicated to providing every customer with excellent service and superior quality work at affordable prices. Place your order now and get started working towards success today! What topics would you like our experts to write about?
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Top 10 Interesting Math Topics 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.
Write a word problem that could be solved using the mathematics we are learning about. Given a word problem: #13. Change one of the values in the problem. Explain how this would change the situation and the solution. For prompt #13 above, say we had this as our original problem: A company sells fruit smoothies in two sizes: 6 ounces and 10 ounces.
Math Essay: Mathematics is generally defined as the science that deals with numbers. It involves operations among numbers, and it also helps you to calculate the product price, how many discounted prizes here, and If you good in maths so you can calculate very fast.
Our free mathematics essay examples include popular topics such as algorithms, applied mathematics, calculus, knot theory, linear algebra, and more. The Banach-Tarski paradox Mathematics is seen by many as a mysterious and often unsettling subject.
Stuck on your essay? Browse essays about Mathematics and find inspiration. Learn by example and become a better writer with Kibin's suite of essay help services.
Maths encompasses different types of computations that are applied in the real world. Math requires a lot of analysis. This is why there are different types of maths. They all encompass different subjects and deal with different things. What are the types of maths? Arithmetic This is perhaps the commonest type or branch of maths.
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