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Mathematics articles — Page 7

Explore the ideas and history behind numbers, shapes, patterns and mathematical thinking. Choose an article below; its reading controls let you move between the available levels.

1,419 public articles · Page 7 of 30

For printable practice and answer guides, visit Maths worksheets.

Random variable

Some things are hard to guess. You might flip a coin. You might roll dice. We use math to study these games. It helps us see what might happen. It is like a way to track chance. Can you guess what comes next?

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Rational number

You can split things into parts. You can share a snack fairly. This uses parts of a whole. It is like a piece of cake. These are called numbers. Can you find some parts today?

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Real analysis

Math helps us study numbers. We can look at how numbers change. We can see how they grow or shrink. It helps us see patterns. It is like a puzzle for us. Can you find a pattern today?

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Regression analysis

We can look for patterns in things. We see how one thing changes with another. This helps us guess what might happen next. It is like finding a path through dots. It helps us learn about our world. Can you find a…

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Representation theory

Math can show how things move. You can turn a shape. You can flip a shape too. This helps us see how things work. It makes hard math easy to see. Do you like shapes?

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Richard Dedekind

Richard was a man who loved numbers. He looked for patterns in them. He found new ways to see them. His work helps us understand math today. It is very neat. Do you like to count things?

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Riemann hypothesis

Math has a big puzzle. It is about special numbers. These numbers help us find more numbers. People want to solve it. It is very hard to do. Can you help us find the answer?

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Riemannian geometry

We can study shapes in many ways. We can see how far things go. We can see how big they are. This helps us know about our world. It even helps us learn about space. Can you find a shape near you?

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Riemannian manifold

We can measure shapes. We can find how long a line is. We can see the way a shape bends. This helps us map the world. It even helps us learn about space. Can you find shapes around you?

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Riemann surface

Some shapes are very special. They can look like a ball. They can look like a donut. These shapes help us study math. They can even be made of many sheets. They are fun to look at. Can you find a donut shape?

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Right angle

Some lines meet in a special way. They stand straight up. This makes a perfect corner. You see these corners on a square. They help us build things. Do you see a square corner near you?

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Ring (mathematics)

You can use math to group things. You can add them up. You can also multiply them. This works with numbers. It can work with other things too. It helps us see patterns. Can you find a pattern?

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Ring theory

We use numbers to count things. We can add them together. We can also multiply them. Math helps us see patterns. It helps us find shapes. Math is all around us. Do you like to count?

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Roman numerals

Long ago, people used letters for numbers. You can see them on old clocks. They use shapes like I and V. This helps us count things. It is fun to look for them. Can you find any letters that are numbers?

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Ronald Fisher

A man named Ronald loved numbers. He used math to study plants. He also looked at how living things change. His work helps us learn about life today. He was a very smart thinker. Do you like to count things?

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Russell's paradox

Some math ideas can be tricky. One man found a big puzzle. It was a rule that broke itself. This made math thinkers work hard. They wanted to fix the rules. It helps us understand numbers. Can you solve a hard puzzle?

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Sampling (statistics)

Sometimes we cannot check everything. We pick a small group instead. This small group helps us learn. It tells us about the whole group. It is fast and easy. Do you like to pick things?

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Scientific notation

Some numbers are very big. Some numbers are very small. It is hard to write them all. We use a short way to write them. This helps us count well. It helps us learn. Can you find big numbers?

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Set theory

You can put things in groups. You might group your toys. You might group your fruit. This helps us see how things go together. It helps us count them too. Can you make a group of things?

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Shape

A shape is an outline. You can see it on things. A ball is round. A box is square. Shapes are all around us. Can you find a shape?

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Sheaf (mathematics)

We use math to track things. It helps us see small parts. We can glue small parts together. This makes one big thing. It helps us study shapes. It is a very smart tool. Can you find patterns in your room?

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Siméon Denis Poisson

Poisson loved math. He used math to study the world. He looked at stars and light. He even taught other people math. His ideas help us still today. Do you like math too?

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Sofya Kovalevskaya

Sofya loved math. She studied numbers and shapes. It was hard for women to study back then. But she did not stop. She became a great teacher. She showed the world how smart women are. Do you like math too?

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Sphere

A sphere is round like a ball. It can roll in any way. You see them in soap bubbles. Most balls for sports are this shape. They are very smooth. Do you have a ball at home?

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Square

A square has four straight sides. All sides are the same length. It has four sharp corners. You can see them on tiles or dice. Squares are everywhere! Can you find a square in your room?

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Square root

Think about a square shape. How long is one side? We can find out. We look for a number that makes the square. It is like finding a hidden part. Can you find the side?

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Srinivasa Ramanujan

Ramanujan loved numbers. He found new patterns. He wrote them in books. His work helps us today. He was very smart. Can you count with him?

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Standard deviation

Some things are spread out. Other things stay close together. We can use math to see this. It helps us know how much things change. It is a way to measure spread. Do you like to see patterns?

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Standard error

Sometimes we guess how many things are in a big group. We look at a small part to help us. We want to know if our guess is good. A bigger group helps us be sure. It makes our guess better. Can you find a pattern in…

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Statistical hypothesis test

We use math to check things. We look at groups of things. We see if they are the same. This helps us learn new facts. It makes our ideas strong. Do you like to find facts?

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Statistical population

Think of a big group of things. It could be all the stars. It could be all the cards in a game. We want to learn about the whole group. We can look at just a few things. This helps us learn. Can you find a group to…

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Stefan Banach

Stefan Banach loved math. He solved puzzles at school. He even met a math teacher in a park. He wrote a big book about math. His ideas help us today. Do you like math too?

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Steradian

We can measure space around us. Imagine a shape like a cone. It cuts a piece out of a ball. This piece has a size. We use a special name for it. It is called a steradian. Can you find a ball to look at?

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Stochastic process

Some things change in a random way. They do not follow a set plan. Like a tiny bug moving in water. Or how many calls a phone gets. We use math to study these changes. It helps us learn about the world. Can you see…

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Student's t-test

We can use math to compare things. It helps us see if two groups are truly different. A man named Student helped find this way. It helps us know if things are the same. It is very useful. Do you like to compare things?

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Subset

Think of a big group of things. Some things can be in a small group. That small group is part of the big group. It is like a small box inside a big box. This helps us sort things. Can you find a small group in your room?

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Subtraction

You can take things away. Imagine you have five peaches. You take two away. Now you have three left. This helps you know how much is there. It is a fun way to count. Can you try it?

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Survey methodology

People ask many questions to learn things. They use lists of questions. These lists help us learn about everyone. We can learn what people like. This helps us know the world. Do you like to answer questions?

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Symmetry

Some things look the same on both sides. It is like a mirror. You can see this in many animals. You can see it in big buildings too. It looks very neat and fair. Do you see it too?

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Symmetry in mathematics

Some things look the same if you move them. You can flip or turn them. They do not change. This is called symmetry. It helps us see patterns. Do you see symmetry in your room?

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Taylor series

We can use math to guess a shape. We start with a tiny part. Then we add more parts. Each part helps us get closer. It is like drawing a line to match a curve. Can you find shapes in your room?

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Tensor

Math helps us see patterns. It can show how things move. It can show how things push. We use it to study the world. It helps us solve big puzzles. Do you like math?

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Tessellation

Shapes can fit together like a puzzle. They can cover a floor. They leave no gaps. They do not overlap. You can see them in honeycombs. Do you see patterns around you?

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Theorem

A theorem is a true idea. We use steps to show it is true. It is like a puzzle that we solve. Once we solve it, we know it works. It helps us understand math. Can you find a pattern?

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Topological space

Math helps us see how things fit. We can look at shapes. We can see how close they are. This helps us study space. It is a way to look at the world. Do you like shapes?

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Trigonometric functions

We can use shapes to find sizes. We look at a triangle. We see how its sides work. This helps us find things far away. It helps us map the stars. Math is like a tool. Can you find shapes in your room?

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Union (set theory)

You can put groups together. It is like making one big pile. You take things from one group. You take things from another group. Now they are all in one place. It is fun to join them! Can you join your toys?

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Variance

Some groups of things are spread out. Some are close together. We can see how far they spread. This helps us know what to expect. It is a way to see a pattern. Can you find things that spread out?

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