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Mathematics articles

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 1 of 30

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Mathematics

Math helps us see how things work. It looks at numbers and shapes. We can count many things. It helps us build big things. Math is all around us. Can you find math today?

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Algebra

Math can use secret signs. These signs stand for numbers. We use them to solve puzzles. It helps us find what is missing. It is like a game. Do you like puzzles?

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Arithmetic

You can use numbers to count. You can add more to a group. You can take some away. This helps you shop. It is a fun way to learn. Can you count your toys?

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Geometry

We use math to see shapes. It helps us find how big things are. It looks at lines and curves too. This helps us build things. We see it in art. Do you see shapes around you?

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Logic

Logic helps us think well. It shows if an idea is right. We use it to solve puzzles. It helps us learn new things. It is very useful. Can you use it today?

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Number

Numbers help us count things. We use them to name things. They show us how many. Numbers are all around you. They help us every day. Can you count your fingers?

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Statistics

We look at facts and numbers. We find patterns in them. This helps us learn new things. It helps us make good choices. It is like being a detective. Can you find a pattern today?

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Abstract algebra

Math helps us see patterns. It looks at how things move. We can look at shapes and numbers. It helps us solve puzzles. Math is all around us. Do you see patterns too?

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Algorithm

You can follow steps to solve a task. It is like a recipe for food. These steps help you get an answer. They can be used by people or machines. Do you like to follow rules?

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Al-Khwarizmi

A man named al-Khwarizmi loved math. He lived a long time ago. He showed us new ways to count. His ideas help us solve puzzles. We use his work every day. Do you like math puzzles?

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Angle

Two lines meet at a point. This makes a shape. It can be a small opening. It can be a big opening. We see them in corners. They help us see shapes. Do you see any corners?

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Archimedes

Archimedes was a smart man. He lived a long time ago. He loved to study shapes. He also made many new tools. His ideas help us today. Can you find shapes in your room?

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Area

Area tells us how big a shape is. It is how much paint we need to cover it. We can use small squares to measure it. This helps us know how much space we have. It is very useful! Can you find a big shape?

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Discrete mathematics

We can count things one by one. We can look at dots and lines. We can group things together. This helps us use computers. Computers use these ideas to work. Do you like to count things?

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E (mathematical constant)

Some numbers are very special. This number helps us count growth. It shows how things get bigger. It helps us with money too. It is a very cool tool. Can you find it?

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Equation

Two sides can be the same. It is like a scale. One side must match the other side. This keeps things in balance. It helps us find hidden numbers. Can you find things that match?

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Euclid

A man named Euclid loved shapes. He lived a long time ago. He wrote a famous book about lines and circles. It helps us learn how math works. His ideas are still used today. Do you like to draw shapes?

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Exponentiation

You can use math to grow numbers fast. It is like making many copies of a number. You multiply the same number again and again. This helps us count big things. It can even help us count sand! Do you like big numbers?

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Fraction

You can cut things into parts. Imagine a yummy cake. You cut it into equal pieces. You can take one piece. That is a part of the whole cake. It helps us share fairly. Do you like cake?

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Function (mathematics)

Some things go together in a way. One thing can change another thing. Like a planet moves as time goes by. This helps us learn many things. It is a great tool for us. Can you find a pattern?

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History of mathematics

People use math every day. It helps us count things. We use it to tell time. It helps us build big things. Math is all around us. Can you find math today?

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Infinity

Some things have no end. They go on and on. It is like a line that never stops. It can be very big. It can also be very small. Can you think of something that never ends?

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Integer

Some numbers are whole. They can be zero. They can be more than zero. They can also be less than zero. These are all whole numbers. We use them to count. Can you find some numbers?

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Kurt Gödel

Kurt Gödel loved to ask why. He was a math expert. He found new ways to think. His ideas help us today. He was very smart. Do you like to ask why too?

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Leonhard Euler

Leonhard Euler loved numbers. He found patterns in shapes. He helped us study stars and ships. He wrote many books about math. He was a very smart man. Can you find a pattern today?

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Limit (mathematics)

Things can get very close to something. Imagine walking toward a wall. You get closer and closer. Soon, you are almost there. This helps us understand numbers. It is like a slow walk. Can you think of something close?

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Linear algebra

Math helps us find patterns. It can help us draw lines. It can help us see shapes. It helps us work with many things. We use it to solve puzzles. It is all around us. Do you see shapes too?

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Line (geometry)

A line is very long. It goes on and on. It has no width. It is thin like a light beam. You can see lines everywhere. Can you find a line near you?

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Logarithm

Math can help us count big things. It helps us find a pattern. We can use it to make hard work easy. It helps us study sound and light. It is a very cool tool. Can you find math in your room?

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Mathematical analysis

Math helps us see how things change. We can use it to find sizes. It helps us know how much is in a shape. It is a way to look at patterns. Math is all around us. Can you find math at home?

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Mathematical proof

We use math to find truths. We follow rules to be sure. It is not just a guess. It works every single time. This helps us know things for sure. Do you like to find out why things work?

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Measurement

We use tools to see how big things are. We can see how long a line is. We can see how heavy a bag is. This helps us know things. It helps us share fairly. Can you find something to measure?

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Natural number

You can use numbers to count things. You can count apples or oranges. Numbers tell us how many we have. They also show us where things go in a line. Numbers go on and on. They never end. Can you count your toys?

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Number theory

We use numbers every day. People have studied numbers for a long time. They look at how numbers work together. This helps us solve puzzles. It even helps keep secrets safe. Do you like counting numbers?

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Pi

A circle is a round shape. If you go around a circle, it is long. It is a little more than three times as wide. This special number helps us measure. It never ends. Can you find a circle?

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Polygon

{ "text": "A polygon is a flat shape. It has

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Prime number

Some numbers are special. They cannot be split into equal groups. You can only make them with one and itself. This helps us hide secrets in computers. They are very fun to find. Can you find a special number?

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Probability

We use math to guess what might happen. It helps us see if things are likely. You can flip a coin to see. Will it land on heads? This math helps us plan. Do you like to guess games?

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Real number

Numbers help us measure things. We use them to see how long something is. We use them for heat, too. You can find them on a line. They fill up every spot. It is like a long path. Can you find numbers in your room?

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Series (mathematics)

You can add things one after another. Imagine adding many small bits. You keep going and going. This can make a new total. It helps us understand big ideas. Do you like to count things?

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Set (mathematics)

A set is a group of things. It can be numbers or shapes. You can make a set of your toys. It can even be empty. Sets help us see how things fit. What is in your set?

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Three-dimensional space

The world has depth. You can go up or down. You can go left or right. You can also go forward or back. This is how we live. It helps us see shapes. Can you find a ball?

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Topology

Some shapes can change. You can stretch a shape. You can bend it too. But do not tear it. A donut and a cup can look the same. Can you find shapes that change?

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Triangle

A triangle is a shape. It has three sides. It also has three corners. You can see them on flags. You can see them on signs. They are all around us. Can you find a triangle?

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Trigonometry

We can use shapes to learn. Triangles have sides and corners. We can use the corners to find the side lengths. This helps us make maps. It even helps us look at the stars. Can you find a triangle?

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Variable (mathematics)

Sometimes we do not know a number. We use a letter to stand in for it. This helps us solve a puzzle. It is like a secret code. You can use it to find the answer. Do you like solving puzzles?

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Volume

Volume is how much a thing holds. It tells us how much milk fits in a cup. It tells us how much air is in a room. It helps us know if a box is big. Can you find a big cup? It is fun to see how much things hold!

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Abelian group

Sometimes the order does not matter. You can add two numbers in any way. Two and three make five. Three and two also make five. This helps us solve puzzles. It is a neat trick! Do you like to count?

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