maths essay questions

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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Math Essay Ideas for Students: Exploring Mathematical Concepts

Are you a student who's been tasked with writing a math essay? Don't fret! While math may seem like an abstract and daunting subject, it's actually full of fascinating concepts waiting to be explored. In this article, we'll delve into some exciting math essay ideas that will not only pique your interest but also impress your teachers. So grab your pens and calculators, and let's dive into the world of mathematics!

• The Beauty of Fibonacci Sequence

Have you ever wondered why sunflowers, pinecones, and even galaxies exhibit a mesmerizing spiral pattern? It's all thanks to the Fibonacci sequence! Explore the origin, properties, and real-world applications of this remarkable mathematical sequence. Discuss how it manifests in nature, art, and even financial markets. Unveil the hidden beauty behind these numbers and show how they shape the world around us.

• The Mathematics of Music

Did you know that music and mathematics go hand in hand? Dive into the relationship between these two seemingly unrelated fields and develop your writing skills . Explore the connection between harmonics, frequencies, and mathematical ratios. Analyze how musical scales are constructed and why certain combinations of notes create pleasant melodies while others may sound dissonant. Explore the fascinating world where numbers and melodies intertwine.

• The Geometry of Architecture

Architects have been using mathematical principles for centuries to create awe-inspiring structures. Explore the geometric concepts that underpin iconic architectural designs. From the symmetry of the Parthenon to the intricate tessellations in Islamic art, mathematics plays a crucial role in creating visually stunning buildings. Discuss the mathematical principles architects employ and how they enhance the functionality and aesthetics of their designs.

• Fractals: Nature's Infinite Complexity

Step into the mesmerizing world of fractals, where infinite complexity arises from simple patterns. Did you know that the famous Mandelbrot set , a classic example of a fractal, has been studied extensively and generated using computers? In fact, it is estimated that the Mandelbrot set requires billions of calculations to generate just a single image! This showcases the computational power and mathematical precision involved in exploring the beauty of fractal geometry.

Explore the beauty and intricacy of fractal geometry, from the famous Mandelbrot set to the Sierpinski triangle. Discuss the self-similarity and infinite iteration that define fractals and how they can be found in natural phenomena such as coastlines, clouds, and even in the structure of our lungs. Examine how fractal mathematics is applied in computer graphics, art, and the study of chaotic systems. Let the captivating world of fractals unfold before your eyes.

• The Game Theory Revolution

Game theory isn't just about playing games; it's a powerful tool used in various fields, from economics to biology. Dive into the world of strategic decision-making and explore how game theory helps us understand human behavior and predict outcomes. Discuss in your essay classic games like The Prisoner's Dilemma and examine how mathematical models can shed light on complex social interactions. Explore the cutting-edge applications of game theory in diverse fields, such as cybersecurity and evolutionary biology. If you still have difficulties choosing an idea for a math essay, find a reliable expert online. Ask them to write me an essay or provide any other academic assistance with your math assignments.

• Chaos Theory and the Butterfly Effect

While writing an essay, explore the fascinating world of chaos theory and how small changes can lead to big consequences. Discuss the famous Butterfly Effect and how it exemplifies the sensitive dependence on initial conditions. Delve into the mathematical principles behind chaotic systems and their applications in weather forecasting, population dynamics, and cryptography. Unravel the hidden order within apparent randomness and showcase the far-reaching implications of chaos theory.

• The Mathematics Behind Cryptography

In an increasingly digital world, cryptography plays a vital role in ensuring secure communication and data protection. Did you know that the global cybersecurity market is projected to reach a staggering $248.26 billion by 2023? This statistic emphasizes the growing importance of cryptography in safeguarding sensitive information.

Explore the mathematical foundations of cryptography and how it allows for the creation of unbreakable codes and encryption algorithms. Discuss the concepts of prime numbers, modular arithmetic, and public-key cryptography. Delve into the fascinating history of cryptography, from ancient times to modern-day encryption methods. In your essay, highlight the importance of mathematics in safeguarding sensitive information and the ongoing challenges faced by cryptographers.

Writing a math essay doesn't have to be a daunting task. By choosing a captivating topic and exploring the various mathematical concepts, you can turn your essay into a fascinating journey of discovery. Whether you're uncovering the beauty of the Fibonacci sequence, exploring the mathematical underpinnings of music, or delving into the game theory revolution, there's a world of possibilities waiting to be explored. So embrace the power of mathematics and let your creativity shine through your words!

Remember, these are just a few math essay ideas to get you started. Feel free to explore other mathematical concepts that ignite your curiosity. The world of mathematics is vast, and each concept has its own unique story to tell. So go ahead, unleash your inner mathematician, and embark on an exciting journey through the captivating realm of mathematical ideas!

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Mathematics Extended Essay Topics for IB

Table of contents

• Writing Metier

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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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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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.

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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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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• 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

Check out sample essays for MBA or thesis papers, if you’re looking for the best tips for writing math essay. The format corresponds to all academic requirements. The projects samples that are performed at AcademicHelp.net can be at school level or for undergraduates. Ask us for free samples and see how well the papers are composed. Use our online editing services to check if the paper you compose is a top-notch essay. Explore our math extended essay topics that would impress your professor!

Math Extended Essay Topics & Editing Assistance at AcademicHelp.net

In some math courses, especially in college or university, the teacher may assign an essay paper project on math extended essay topics. At first, it may seem really daunting. Solving equations differ from writing about them, and initially, you will feel unfamiliar about the topics. But we are here to help you out with any challenging mathematical home assignment. It is a completely doable thing for our experts.

• We will make a solid plan for you. You may be wondering, why it is so necessary to write on math essay topics. While writing about the studied subject, students develop their critical thinking and analytical skills. It allows you to be directly engrossed in the learning process and apply your own experiences. Moreover, writing about mathematics can solidify the newly presented information in your mind. It boosts the overall understanding of the subject and allows you to dwell on concepts that were covered during the semester. The experts working for AcademicHelp.net will explore the materials you’ve written and will bring all the concepts together to show you what you have to cover in your piece.
• We will ensure you performed thorough research. When editing your writing about math issues, our editors will ensure you’ve read and analyzed the concepts developed by leading mathematicians properly. If you adapted some concepts to resolve real math problems, we will ensure you did that correctly. In other words, we ensure students communicate mathematical concepts and ideas to their readers the right way. Our experts at AcademicHelp.net will see if you performed in-depth research on the basis of fresh facts and ideas.
• We will supply you with great ideas. At the very beginning, students should find the right topic for their project. We’ll provide you with both – the easiest topics like the ones related to certain mathematicians or historical moment in the development of the science, and more difficult ones relevant to how algebra was created or how calculus was discovered. We may also recommend you to write an assignment paper on how someone can make a certain type of mistake. What is more, one can cover some applications of geometry in reality.
• We will edit the paper you’ve accomplished yourself. Even though it is not an English class project, a math paper still requires thorough editing. When the research and writing are done, students should cut out some time to proofread and edit their written work adequately. For editing, you can also reach our service which works 24/7. Our experts will check your paper and correct all mistakes.

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Extended Essay Writers

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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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 Maths EE examples

Filter exemplars, to what extent prime counting function and the riemann zeta function are similar, and what is the importance of their similarities, how are elliptic curves used in cryptography to make information secure in today’s world, want to get full marks for your ee allow us to review it for you 🎯, how does elliptic curve cryptography ensure secure communication of information on the internet, to what extent is the naive bayes classifier effective in classifying iris plants data set, to what extent is the insight into the concepts of consonance and dissonance in music theory provided by the mathematical descriptions of the string motions within stringed instruments described by the fourier series, fast track your coursework with mark schemes moderated by ib examiners. upgrade now 🚀, how can laplace transformation be used to solve differential equations in undamped vibration and kirchhoff's laws of current and voltage, to what length does the lotka-volterra model help us understand the predator-prey relation in an ecosystem, how does the implementation of pell's equation in rsa cryptography affect its efficiency, and what is the security of the prime fake modulus variant against fermat's factorization and wiener's attack, dans quelle mesure, l’utilisation de pi (π) est-il devenu un facteur important dans la vie quotidienne et l’évolution du monde, how can matrix analysis of game theory be used to guide foreign policy in the ongoing us-iran nuclear tensions, how does the idea of transpositions from group theory apply itself to the solution of the futurama problem, how can the surface area of a violin's top plate be calculated, what is the height and number of towers in a suspension bridge between tuas and jurong island such that it will bear the heaviest possible load and have the lowest cost, how trigonomotry applied in astronomy, how do laplace transformations and complex exponential substitution enable the solution of a first order differential equation to obtain the sinusoidal current in a basic rl circuit, the analysis of approaches and extension of a combinatorial geometry problem, to what extent, statistically, are the causal effects of parenting programs on rural chinese toddlers’ cognition different between genders, to what extent is the mathematical proof of ‘ac ohm’s law’ applicable to ac circuits, to what extent do trigonometry, elliptical geometry and calculus aid forensic analysts in blood spatter analysis and the estimation of the time of death of a corpse, how does the fourier series is used as a musical signal for chord structure, what is modular arithmetic, and how can it be applied to solve problems in the field of number theory, to what extent do the motion of strings within stringed instruments described by fourier series give insight into consonance and dissonance in music theory, how can we use fourier series to analyse and produce an electrocardiogram signal, (35/36) hyperbolic flyby trajectories in orbital mechanicss, analyzing the distribution of cards in the "egg game”, what are some ways the riemann zeta function is connected to the prime numbers, that helps us investigate and better understand them, generating arbitrary uniform probability distributions, to what extent the areas of mathematics such as differ- ential geometry and calculus of variations can be used to generalize the brachis- tochrone problem at planes to curved surfaces embedded in three dimensions, probability factors that influence the game of roulette, we will investigate whether the supply and demand affect the performance of a stock in the us equity market, to what extent does the distance between the path that goes through the gold nucleus and one of the asymptotes of the α particle’s hyperbolic trajectory affect the trajectory of the α particle in rutherford's gold foil experiment, what is the most optimal point on football field to score a goal, how does abstract mathematics apply to physical phenomena in the process of the development of schrodinger’s equations, the rsa algorithm and its vulnerabilities, how can mathematics be used to work out the optimal distance from the try line to position the ball for a conversion kick in rugby union.

ESSAY SAUCE

FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY

• Mathematics essays

Our free mathematics essay examples include popular topics such as algorithms, applied mathematics, calculus, knot theory, linear algebra, and more.

Euler’s identity

Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as “the most beautiful equation.” It is a special case of a foundational equation in complex arithmetic called Euler’s Formula, which the late great physicist Richard Feynman called in his lectures “our jewel” and “the most remarkable formula in … Read 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 introduction

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

Emmy Noether

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 overview

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

Ideas for your next mathematics essay

Stuck for a title for your next essay? Here are some ideas to inspire you:

• The Mathematics of Music: Exploring the Relationship between Mathematics and Music – This essay would examine the connections between music and mathematics, including the use of mathematical concepts in musical composition and the study of the mathematics of sound.
• The Golden Ratio: A Mathematical and Aesthetic Marvel – This essay would discuss the concept of the golden ratio and its applications in art, architecture, and design. It would explore the beauty and symmetry of this mathematical principle.
• Mathematics in Sports: Analyzing the Numbers Behind Athletic Performance – This essay would explore the use of mathematics in sports, including the use of statistics and analytics to analyze athletic performance and predict outcomes.
• Chaos Theory: The Science of Nonlinear Systems – This essay would discuss the concept of chaos theory and its applications in various fields, such as meteorology, physics, and economics. It would explore the idea that small changes in initial conditions can have a significant impact on the final outcome of a system.
• The Mathematics of Cryptography: Securing Information in the Digital Age – This essay would examine the use of mathematics in cryptography, including the principles of encryption and decryption, and how these concepts are applied to secure information in the digital age.
• Fractals: The Beauty of Infinite Complexity – This essay would explore the concept of fractals and their applications in art, nature, and science. It would discuss the beauty and complexity of these repeating patterns found in nature and how they are used in various fields of study.
• Mathematical Models in Biology: Understanding the Complexities of Life – This essay would discuss the use of mathematical models in biology, including the modeling of population growth, the spread of disease, and the behavior of organisms. It would explore how these models help scientists understand the complex systems that make up living organisms.
• The Mathematics of Finance: Analyzing Investments and Markets – This essay would examine the use of mathematics in finance, including the principles of financial analysis, investments, and risk management. It would explore how mathematics is used to understand and predict market trends.
• Geometry in Art: The Intersection of Math and Creativity – This essay would discuss the use of geometry in art, including the use of shapes, patterns, and symmetry. It would explore how artists use mathematical concepts to create beautiful and compelling works of art.
• The History of Mathematics: From Ancient Times to Modern-Day Advances – This essay would trace the history of mathematics, from its origins in ancient civilizations to modern-day advancements in the field. It would explore the contributions of key mathematicians throughout history and the evolution of mathematical concepts and principles over time.

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Math Extended Essay Topics. Let's Make Yours Stand Out!

Table of contents.

Introduction – What is an IB Math Extended Essay?

An extended essay (EE) is a research paper of up to 4,000 words for the International Baccalaureate (IB) program. It is an independent study done by the student in a chosen subject, and it is a requirement for all IB diploma students. An IB Math EE is an individual project done by a student that explores a mathematical concept, question or problem. Students are asked to explain their understanding of the concept and develop their own argument(s) surrounding it.

Before you start your EE, it is important to understand exactly what the assignment entails. First and foremost, you should understand how the IB Math EE relates to the general subject of mathematics. The EE should be focused around a specific question or hypothesis related to mathematics. The aim of the essay is to explore this particular topic, conduct research and analysis, and draw conclusions based on the evidence provided.

The essay should also demonstrate the student’s in-depth knowledge of mathematical concepts, and the ability to apply that knowledge in a rigorous academic setting. It provides an opportunity for students to showcase their skills and hone their expertise in mathematics. Lastly, it is a great way for students to practice their research and independent study skills.

IB Maths Extended Essay Process – Step-by-Step Guide

Writing an International Baccalaureate (IB) Maths extended essay can be a challenging, yet rewarding experience. Many students often find the process to be daunting, but with the right plan of action and understanding, you can make it through with ease.

The first step in the process is to determine the essay topic and type of essay you will be writing . Make sure the topic you choose is relevant to IB Maths and that you can back up any claims you make. Once you have chosen your essay topic , you will need to create an outline or plan of action for yourself. This includes setting individual deadlines and goals for yourself in order to stay on track.

Next, you will need to begin researching and gathering resources for your essay. This is the time where you will look for books, articles, and other materials to support your thesis statement. Be sure to take precise notes and cite your sources as you go to avoid plagiarism.

Find someone to act as your supervisor, who can help guide you through the extended essay process. Your supervisor should be available to answer any questions, provide feedback, and help you stay focused on the task at hand. It is important to establish a good relationship with your supervisor in order to ensure timely and effective communication.

Beforehand, it’s important to familiarize yourself with the assessment criteria and rubric for the extended essay . This will give you a clearer understanding of what is expected from you and how you will be evaluated. Having this knowledge will allow you to create a better structure for your essay that meets the required standards.

Now, you are ready to start writing your essay. Use the plan you created for yourself along with the research you gathered to construct the body of your essay. As you write, be sure to reference all sources correctly, double check for grammar and spelling errors and keep your essay on track. Once you have finished, you are all done.

By following this step-by-step guide and understanding each part of the IB Maths extended essay process, you will make the process easier and less intimidating. Keep in mind the key points discussed throughout the guide and make it a priority to respect deadlines and be organized throughout.

Choosing a Good Extended Essay Topic

When it comes to the IB Maths Extended Essay , one of the most important steps is choosing a good topic. A good topic should be interesting and challenging, but not too complex for you to handle. It should also relate directly to IB Maths, so you can use your knowledge to write the essay.

Here are some criteria to consider when selecting an appropriate topic:

• Does the topic have relevance to your field of study?
• Is the topic researchable and easy to access resources?
• Will the data you need be available?
• Is the scope of the topic manageable?
• Is the topic interesting enough to keep you motivated to finish it?

Some examples of good topics for an IB Maths Extended Essay include:

• The Impact of Advanced Mathematics on Financial Markets
• The Benefits of Using Probability In Business Decisions
• The Use of Calculus in Medicine
• The Role of Algebra in Cryptography
• The History of Numbers

Exploring a few topics before settling on one will give you a better understanding of what kind of topic will work best for your essay. Consider your interests and the resources you have access to, and choose a topic that you will be passionate about. Once you’ve selected a topic, you can begin researching and preparing for the essay!

Preparing the Extended Essay – Resources, Planning and Researching

Once you have chosen your topic for your Maths Extended Essay, the next step is to prepare for it. This involves compiling a list of resources that you will need in order to carry out research and complete the essay. These could include books, research papers, articles and any other material that is relevant to your topic.

You will then need to plan how you want to go about researching and writing your essay. This planning process should involve breaking down the process into manageable steps, such as researching the topic, planning how to structure the essay, writing the first draft and then editing and proofreading. By breaking down the process into smaller chunks, it can be easier to manage and track your progress.

The next step is to carry out the research which your EE will require. Depending on your topic, this could involve looking through textbooks, reading articles and papers, interviewing people or conducting other experiments or surveys. It’s important in the research stage to keep track of where you found each piece of information so that you can cite it correctly later on.

Finally, when you have finished researching and written your first draft, you can start the process of refining and editing the EE. This involves making sure that everything is presented correctly and that all grammar, spelling and punctuation are perfect. Once you are happy with the essay, you can submit it for evaluation.

Supervisors & The Roles They Play

The supervisor plays a crucial role when it comes to your IB Maths Extended Essay. It’s important to find a supervisor who is knowledgeable and experienced in the field of mathematics, as they will help guide you through the process of researching and writing the essay.

Your supervisor should be able to provide you with guidance and advice, as well as setting you deadlines for completing your essay. Depending on the type of Extended Essay you are writing, your supervisor may also have the opportunity to read drafts of the essay and provide feedback along the way, helping to ensure the EE meets all of the assessment criteria.

A supervisor will also typically be responsible for giving the final grade for the Extended Essay, which means that it is essential to develop a good working relationship with them. This can be achieved by attending meetings regularly and using the resources available from your supervisor to ensure you’re making steady progress.

In any event, it is important to remember that your supervisor is there to help you throughout the writing of the EE. They can offer a wealth of knowledge, experience and support so make sure to take advantage of the opportunity.

Evaluation – Possible assessment criteria & EE rubrics

Once you have completed your extended essay for math, it is important to evaluate your work based on the assessment criteria. This means checking how well your essay aligns with the criteria set out by the International Baccalaureate (IB). Different aspects of the essay will be marked separately and then combined to generate a final score.

Here are some of the criteria that you might need to consider for your math extended essay:

• Clarity: Is the essay easy to read and understand? Are there any points that could be interpreted differently?
• Research and Analysis: Has enough research been undertaken in order to support the discussion? Does the analysis of this research accurately reflect the original source?
• Approach: Is the essay structured correctly? Has the argument been logically built, using appropriate evidence?

The IB provides several rubrics which can help you to evaluate your own essay. These rubrics are designed to show you what the IB is looking for when they mark your work. Make sure you familiarise yourself with the rubrics before you submit your essay so that you know what to expect from the evaluation process.

It’s important to be aware of the evaluation criteria for your maths extended essay, as it will help you to understand why certain sections of your essay may score higher or lower than others. This in turn will help you to improve your writing and ensure that you submit the best possible essay.

Example topics to get started – Highlighting five example topics related to IB Maths

When starting your IB Maths extended essay, it can be daunting to think of a suitable topic. To help you get started, here are five example topics you may want to consider:

• Exploring the Relationship Between Fibonacci Numbers and the Golden Ratio – Investigate how the Fibonacci sequence relates to the golden ratio and its applications in mathematics.
• Analysis of Different Methods Used to Solve Quadratic Equations – Analyze different methods of solving quadratic equations and discuss their advantages and disadvantages.
• Explaining the Fundamental Theorems of Algebra – Study the theorems of algebra and explain their importance in mathematical theory.
• A Study on the Mechanics of Number Theory – Analyze the various concepts and principles of number theory and describe its applications.
• Understanding the Geometry of Non-Euclidean Geometry – Examine the different principles of non-Euclidean geometry, including hyperbolic geometry.

These are just five examples to get you started – there are endless other possibilities for topics in IB Maths. Remember to choose a topic that you find interesting and make sure it is relevant to your course of study.

Presenting Essential Content

Having chosen a topic for your IB Maths Extended Essay, it is time to begin writing. Having an outline of what you are going to discuss in each section and thinking about the themes you will focus on can help to guide and structure your essay.

When it comes to presenting the core information that needs to be included, this is where brainstorming and researching helps to create the ‘meat’ of the essay.

Think carefully about which topics could be explored in each section, as well as looking at any suggested themes or topics that examiners may look for. You can create a draft outline of each section if this helps.

You may want to consider the following when planning the content of your essay:

• The aim of the essay
• What evidence will be provided to support your arguments
• Any potential counter-arguments and how to rebut them with evidence
• How to develop a balanced discussion, using comparison and contrast
• Key theories and concepts that need to be discussed
• Insightful quotes from reliable sources
• Any numerical information or data that can be used to support arguments

It is always a good idea when creating your essay to refer back to the main research question or aim of the assignment to ensure that you remain focused.

By doing this, you can be sure that you have included all the essential content needed to answer the research question properly, as well as demonstrating your understanding of the topic.

Referencing correctly

Correct referencing is very important when it comes to writing an IB Maths Extended Essay. It’s how you show the examiner where you’ve got your research from, and how you demonstrate the ideas that you’re presenting in your essay are backed up with evidence.

When it comes to referencing, there are a few main types: in-text citations (where references are mentioned within the body of the essay), endnote citations (where references are included in an endnotes section), and bibliographies (where sources are listed alphabetically at the end of the essay).

In-text citations and endnote citations should include the author’s name, the year of publication, the title of the document, and the page number (if possible) of the reference you are citing. Bibliographies should list the title, author’s name, publication date and URL of any webpages cited. It’s also important to make sure that you’re consistent with the style of referencing – for example, if you’ve used Harvard referencing for one source, make sure you use it for all sources.

It’s also worth noting that some examiners prefer that referencing isn’t done inline – in other words, each reference should be listed in an endnote or bibliographic section at the end of the essay. If you’re unsure of which style to use, it’s best to check with your supervisor – they will be able to give you more advice on the specifics.

In summary, when including references and citations in your IB Maths Extended Essay, make sure they are accurate and consistent. Remember to include all relevant information such as author, year of publication, title and page number (if applicable), and make sure that you are consistent with the referencing style used. Your supervisor will be able to provide more advice on the specifics.

Editing & Proofreading Tips

Writing an extended essay on an IB Maths topic can be a challenging task – especially when it comes to the editing and proofreading stage. The whole process involves careful attention to several areas of the essay, which can make all the difference when it comes to achieving a high grade.

Here are a few tips to help you prepare your essay for submission:

• Start Early: Make sure to give yourself plenty of time to go through each part of the essay and make the necessary revisions.
• Check Your Sources: Check to ensure that all the sources you used are accurate and up-to-date.
• Check Grammar and Spelling: One of the most important aspects of editing is making sure that your grammar and spelling are correct. Use a spell checker before submitting your essay.
• Check for Clarity: Read your essay through from start to finish to check for clarity of thought and make sure everything ties together in the conclusion.
• Get a Second Opinion: Consider getting someone else to read your essay and give their opinion on it. This can help to spot any errors or points that need improvement.

Doing all of the above will ensure your essay is well polished and ready for submission. Taking these steps will also help you to become a better writer and ensure that you receive the best possible grade for your efforts.

The completion of an International Baccalaureate Math Extended Essay (EE) is a challenging task that requires a great deal of research, preparation and dedication. In this guide, we have discussed the process from start to finish, as well as some tips and tricks to make it easier. We began by introducing what an EE entails in the context of IB Maths, then progressed through the process step by step. This included topics such as choosing an appropriate EE topic, preparing the essay, and getting it assessed correctly.

We discussed some example topics to get you started on your own EE, and important elements such as structuring the essay and presenting essential content. Referencing correctly was also highlighted so you can be sure your essay is academically sound. Finally, we rounded off with some proofreading tips to ensure your work is error free.

To conclude, it is worth mentioning that the EE process can be daunting. But with the guidance presented within this guide, you should be able to complete a top-notch EE with ease. Good luck!

Including Reference Links and External Sources

Having access to helpful resources is a key part of putting together an excellent extended essay. There is usually a wealth of relevant material available, covering a range of topics related to IB Math. It’s important to reference these sources correctly, so that you can demonstrate the breadth and depth of your research.

Here are some useful tips for collecting appropriate sources and referencing them correctly:

• Collect Appropriate Sources – Use a range of academic sources such as books, journal articles, websites, and other types of documents. Don’t forget to check out online databases for extra research material.
• Use Reliable Sources – Ensure that the sources you use are reliable and up-to-date. Try to use recent published sources where possible.
• Cite Accurately – When citing the sources you use, be sure to include the author’s name, year of publication, and the page number (if relevant).
• Avoid Plagiarism – As mentioned above, it’s important to cite any sources you use. Plagiarism should be avoided at all costs as it can result in a loss of points.

By following these tips, you can ensure that your extended essay makes good use of external sources, and that you cite and reference them correctly. Taking the time to look through a range of materials will also help you to form a well-informed opinion, which is essential for a successful paper.

FAQs about IB Math Extended Essay Topics

• Q: What is an IB Mathematics Extended Essay? A: An IB Mathematics Extended Essay (EE) is an in-depth, project-based essay, which requires a student to explore a topic and present their findings. The Extended Essay should be related to and reflect the knowledge of Mathematics learned in the IB program.
• Q: How difficult is a Mathematics EE? A: Writing an EE is no small task. It requires considerable commitment and hard work as well as dedication to the research, writing and presentation process. However, with adequate preparation, guidance, and support, a student will be able to create a successful extended essay.
• Q: What steps are involved in the process of creating a Mathematics EE? A: The process of crafting a Mathematics EE involves the following steps: selecting a topic, conducting the research, gathering evidence, writing an outline and the draft, proofreading and editing, planning for submission.
• Q: How does one select a suitable topic for a Mathematics EE? A: When selecting a topic for a Mathematics EE, students should consider their interests, display their mathematical knowledge, and choose something that can be researched thoroughly. Additionally, they may find it helpful to review example topics and assess their suitability and feasibility.
• Q: Who is responsible for supervising the Mathematics EE? A: An experienced teacher should provide supervision throughout the EE process and guide the student in proper methodology, accuracy in content, format and presentation of the completed essay.
• Q: How are Mathematics EEs evaluated? A: A Mathematics EE is generally evaluated on the student’s ability to demonstrate relevant content and thorough research, as well as their mastery of the subject, attention to detail and accuracy, originality and creativity.
• Q: What structure is typically used when writing a Mathematics EE? A: A MathematicsEE typically has a conventional structure, which includes the introduction, body and conclusion. In the body, the research problem and approach, main focus and findings should be addressed.
• Q: What type of information is needed to include in a Mathematics EE? A: Mathematical EEs should include mathematical terms and formulas, clear explanations of processes, correct notation and symbols, as well as authentic research.
• Q: What tips can help a student prepare for the EE submission? A: A student can edit and proofread their EE to ensure that all sections are accurate, concise and organized. They should double check all numbers, formulas, citations and references. Moreover, they may want to get feedback from their supervisor and peers.
• Q: How can external sources help a student create a successful EE? A: External sources may provide up-to-date information regarding formatting, research methods, mathematical tools, etc., which a student can use to expand their knowledge and create a comprehensive EE.

Valerie Green

Valerie Green is a dedicated educator who spends her time helping high school and college students succeed. She writes articles and guides for various online education projects, providing students with the tools they need to excel in their studies. Friendly and approachable, she is committed to making a difference in the lives of students.

How To Write Your Extended Essay Efficiently with Time Management?

Mastering the art of time management is key to writing your Extended Essay efficiently. As an experienced IB writer, I can attest that the process involves more than just putting pen to paper. It requires careful planning, strategic organization, and discipline. Here are a few crucial tips that can help streamline the essay writing process.

Tips for Creating a Compelling Research Question for Your IB EE

By following these tips, you can create a research question that not only meets the criteria of the IB Extended Essay, but also sets you up for a rewarding research experience. Remember that a well-conceived research question is the first step towards a successful and insightful Extended Essay.

How Do You Select the Perfect Supervisor for Your Extended Essay?

Choosing the perfect Extended Essay supervisor is a crucial step in your IB path, offering a blend of academic insight, moral support and critical feedback. This article will guide you through the essential criteria for choosing a supervisor who can inspire, challenge, and guide you toward a high-quality Extended Essay. Learn how expertise, commitment, and a supportive relationship can transform your EE writing experience.

What Is IB Reflective Project?

The Reflective Project is an in-depth study where students select an ethical issue related to their career-related studies to research and analyze through various lenses. This research is not a mere academic exercise; it is a rigorous, reflective process that encourages students to connect their findings with their own beliefs, values, and experiences.

What’s the Ideal Number of Sources for Your IB EE?

What’s the ideal number of sources for my EE? The answer, nuanced and subject-specific, depends on striking the perfect balance between breadth and depth of research. As a seasoned IB writer, I’ve seen how this balance varies across disciplines — a History EE might thrive on many sources to construct a well-rounded argument, while a Math EE might depend on a few texts for its foundational theory.

How Much Does It Cost to Order a Custom Extended Essay Online?

When tackling the International Baccalaureate program, students often wonder about the cost of ordering a custom extended essay online. As an experienced IB writer, I can tell you that several factors influence this cost. These include the essay’s length, its complexity, the urgency of your deadline, and the writer’s expertise.

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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?  

With a passion for education and student empowerment, I create blog content that speaks directly to the needs and interests of students. From study hacks and productivity tips to career exploration and personal development

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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.

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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!

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• 🔝 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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Home » Education , WAEC ANSWERS » 2023/2024 WAEC GCE Mathematics (ESSAY & OBJ) Questions And Answers (25th November 2023)

2023/2024 WAEC GCE Mathematics (ESSAY & OBJ) Questions And Answers (25th November 2023)

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(25th November 2023) 2023/2024 WAEC GCE Mathematics (ESSAY & OBJ) Questions And Answers.

Waec gce 2023 mathematics (essay & obj) questions and answers.

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Waec GCE 2023 Mathematics (ESSAY & OBJ)

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PAST WAEC GCE MATHEMATICS ESSAY AND OBJ ANSWERS

Section I [Objective] Answer all questions in Part I.Write your answers on the answer booklet provided.

MATHEMATICS ESSAY-ANSWERS

Question 1.

In the diagram, L.PTQ = L.PSR = 900, /PQ/ = 10 ern, /PS/ = 14.4 cm and /TQ/ = 6 cm.

Calculate the area of quadrilateral QRST.

(b) Two opposite sides of a square are each decreased by 10% while the other two are each increased by 15% to form a rectangle. Find the ratio of the area of the rectangle to that of the square.

Math GCE Observation.

We advise that students should always remember to apply the concept of similar triangles correctly.

Furthermore, students should try and recognize the quadrilateral as a trapezium, this will help in finding its area.

Part (b) Candidates were expected to show that:

/PT/ = …./102 – 62 = 8 cm. m: =!J2L i.e ~ = 14.4.Hence, /SR/ = 10.8 cm.

/TO/ /SR/ 6 /SR/

Area of quadrilateral QRST = Yz (6 + 10.8) x 6.4 = 53.76 cm2. Don't subtract the area of triangle PQT from triangle PRS.

This was also in order. In part (b) if the side of the square was y, then new breadth = 90 x y = 0.9 y .

New length = 115 x Y = 1.15y. New area = 1.15y x 0.9y = 1.035/.

Hence, ratio = 1.035y² : y² = 1.035 : 1 or 207:200 .

In a class of 40 students, 18 passed Mathematics, 19 passed Accounts, 16 passed Economics, 5 passed Mathematics and Accounts only, 6 passed Mathematics only, 9 passed Accounts only, 2 Accounts and Economics only. If each student offered at least one of the subjects, (a) How many students failed in all the subjects? (b) Find the percentage number who failed in at least one of Economics and Mathematics. (c) Calculate the probability that a student selected at random failed in Accounts.

Question 2.

(a) Copy and complete the table of values for the relation V = -X² + X + 2 for -3 ≤ x ≥ 3.

(b) Using scales of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the v-axis, draw a graph of the relation

y = -X² + X + 2.

(c) From the graph, find the:

(i)Minimum value of y;

(ii)Roots of the equation X² – x -2 = 0;

(iii)Gradient of the curve at x = -0.5.

3. (a) P varies directly as Q and inversely as the square of R.  If P = 1 when Q = 8 and R = 2, find the value of Q when P = 3 and R = 5. (b) An aeroplane flies from town A(20oN, 60oE) to town B(20oN, 20oE). (i) If the journey takes 6 hours, calculate, correct to 3 significant figures, the average speed of the aeroplane. (ii) If it then flies due north from town B to town C, 420 km away, calculate, correct to the nearest degree, the latitude of town C. [Take radius of the earth = 6400 km and  π = 3.142]

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