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.
Math helps us find big numbers. Sometimes numbers get too big to count. We use a special way to guess them. It is a very good guess. This helps us work fast. Can you find big numbers?
Early Reader · Change the reading level on the articleMath can look at how things move. Imagine water spinning in a circle. We can measure the spin on a flat shape. We can also measure it around the edge. Both ways tell us the same thing. It is a neat trick! Can you see…
Early Reader · Change the reading level on the articleYou can draw shapes with tools. Use a straight edge to make lines. Use a compass to make circles. This helps you make math art. It must be very exact. Can you draw a circle?
Early Reader · Change the reading level on the articleSometimes you have a good plan. This plan works better than others. It works no matter what people do. It helps you win more often. You can pick the best way to play. Do you like to win games?
Early Reader · Change the reading level on the articleYou play a game with a friend. You must pick what to do. Your choice depends on them. You might play chess or cards. A plan helps you win. Do you have a plan?
Early Reader · Change the reading level on the articleYou can look for a small word in a big book. It is like finding a needle in hay. You look at each part to find it. This helps you find things fast. It is a fun game. Can you find a word in a book?
Early Reader · Change the reading level on the articleMath uses sets of things. We can group things together. We can also use rules for them. These rules help us count or sort. It helps us see how things work. Do you like to sort your toys?
Early Reader · Change the reading level on the articleMath can help us study groups. It looks like a tall hill. The hill has two sides. It helps us find out if things are the same. It is very useful. Do you like math?
Early Reader · Change the reading level on the articleYou can pick some things from a group. You can also pick some paths between them. This makes a smaller group. It works just like the big group. It helps us see parts of a whole. Do you like to pick things?
Early Reader · Change the reading level on the articleMath can help us solve puzzles. Some puzzles take a long time. We can use a trick to go faster. This trick helps computers find answers. It makes the work quick. Can you find a fast way to solve a puzzle?
Early Reader · Change the reading level on the articleYou can put groups together. This is called adding. It helps you find a total. You can add many numbers. It is a fun way to count. Can you count your toys?
Early Reader · Change the reading level on the articleA man wrote a big book. It helps us think well. He shows us how to use words. It helps us find what is true. We can learn to be smart. Do you like to solve puzzles?
Early Reader · Change the reading level on the articleThink about the outside of a ball. That outside part is the surface. We can measure how much space it takes up. This helps us know how big it is. It matters for many things. Can you feel the surface of your desk?
Early Reader · Change the reading level on the articleWe can look at a shape's skin. This skin can be flat or curved. We can count things on it. It helps us see how water flows through. It is a way to measure. Can you find a curved shape?
Early Reader · Change the reading level on the articleA surface is the outside of a shape. It can be flat like a floor. It can also be round like a ball. You can touch a surface with your hands. It is all around us. Can you find a round surface?
Early Reader · Change the reading level on the articleYou can make new shapes. Spin a line in a circle. It makes a new shape. A circle makes a ball. A ring is another shape. It looks like a donut. Can you find a shape like this?
Early Reader · Change the reading level on the articleA surface is a thin shape. It can be round like a ball. It can be flat like a sheet. We see these shapes every day. They help us see the world. Do you see any round shapes?
Early Reader · Change the reading level on the articleImagine you have many toys. You want to put them in boxes. Every box gets a toy. No box is left empty. This fills up all the boxes. It helps us see how things match. Can you fill all your boxes?
Early Reader · Change the reading level on the articleYou can use facts to find new things. Use two true facts to learn more. It helps you think very well. This is a way to be smart. It is a fun way to learn. Can you find a new fact?
Early Reader · Change the reading level on the articleSome things go both ways. If you are my teammate, I am your teammate. It works like a mirror. This helps us see how things match. It is a fun way to group things. Can you think of more? Do you have a teammate?
Early Reader · Change the reading level on the articleSome things look the same on both sides. You can fold them in half. The two sides will match. This is like a mirror. It is a fun pattern. Can you find one?
Early Reader · Change the reading level on the articleThings in our world work together. Water can flow from one tank to another. Heat can move through a house. We use math to see how they change. It helps us learn how things move. Can you see things working together?
Early Reader · Change the reading level on the articleWe use math to find a secret number. We can use lines to help us. These lines can meet at one spot. Sometimes they do not meet at all. This helps us solve big puzzles. Can you find the spot?
Early Reader · Change the reading level on the articleMany parts work as one group. This is a system. Think of a big machine. If one part breaks, the rest might change. Everything is linked together. It helps us learn how things work. Can you find a system?
Early Reader · Change the reading level on the articleThink about a loop of string. It can wrap around a shape. Some loops are very short. We want to find the shortest one. This helps us learn about shapes. Can you find a small loop?
Early Reader · Change the reading level on the articleYou can count with lines. Draw a line for each thing. Make a group of five lines. This helps you see the count. It helps when you play games. Can you try to draw some?
Early Reader · Change the reading level on the articleA line can just touch a curve. It does not cut through it. It stays very close to the line. This helps us see where the curve goes. It is like a flat path. Can you find a curve that touches a line?
Early Reader · Change the reading level on the articleMath helps us study shapes. We use points to make lines. We can see if a point is in the middle. We can see if two lines are the same size. It helps us know the truth about shapes. Can you find a shape near you?
Early Reader · Change the reading level on the articleSome things are always true. You can say them in many ways. A ball is green or it is not green. That is always a true thing to say. It cannot be false. It stays true no matter what. Can you think of a true thing?
Early Reader · Change the reading level on the articleSome shapes are hard to draw. We can use simple lines to guess them. This helps us find the right answer. It is like a smart guess. It makes hard math easy. Can you find a pattern?
Early Reader · Change the reading level on the articleMath helps us join things. We can take two groups. We put them together in a new way. This makes a big group. It helps us learn about space. Can you find groups of things?
Early Reader · Change the reading level on the articleTerence Tao loves numbers. He is a great math teacher. He solves hard puzzles. He works with many friends. His work helps us learn. Do you like math too?
Early Reader · Change the reading level on the articleA cube is a shape like a box. A tesseract is a special shape. It is like a cube but bigger. It has eight cubes inside it. It is hard to see. Can you imagine a box in a new way?
Early Reader · Change the reading level on the articleA tetrahedron is a shape. It looks like a small pyramid. It has four flat sides. All the sides are triangles. You can fold it from paper. Can you find one?
Early Reader · Change the reading level on the articleA long time ago, people in China wrote a math book. It helped them solve real problems. They used it to measure fields. It also helped them trade food. This book was very important. Do you like math?
Early Reader · Change the reading level on the articleTheon was a smart man. He lived a long time ago. He loved to study numbers. He helped people learn math. He also had a daughter named Hypatia. She loved math too. Do you like math?
Early Reader · Change the reading level on the articleYou can bend a flat paper. It stays the same if you do not stretch it. A ball is not like a flat sheet. You cannot make a ball from paper without it wrinkling. Math helps us see this. Can you find a curved shape?
Early Reader · Change the reading level on the articleA theory is a set of ideas. It uses rules to find new facts. These facts are called theorems. You can use rules to show what is true. This helps us understand the world. Can you find a pattern today?
Early Reader · Change the reading level on the articleThomas Bayes was a smart man. He liked to solve puzzles. He studied how things happen. This helps us guess what comes next. His ideas help us today. Can you find a pattern?
Early Reader · Change the reading level on the articleCan you draw lines without them crossing? Try to connect three houses to three things. You can use water and gas. You can also use light. But the lines will hit each other. It is a hard puzzle! Can you find a way?
Early Reader · Change the reading level on the articleThings change all the time. A car can go fast or slow. We can see how things move. This helps us know what comes next. It is fun to watch the world move. Can you see things change?
Early Reader · Change the reading level on the articleSome jobs take a long time. If you have more time, you can do more. You can solve harder puzzles. This helps us know what is possible. It is a big idea. Can you think of a hard job?
Early Reader · Change the reading level on the articleWe can watch things change over time. We can track the heat each day. We can watch the sea go up and down. This helps us guess what happens next. It is like a story of numbers. Can you find a pattern?
Early Reader · Change the reading level on the articleA torus is a round shape. It looks like a ring. You can see it in a doughnut. It can also look like a swim ring. It is a fun shape to find. Do you see any rings today?
Early Reader · Change the reading level on the articleMath helps us see how things change. It looks at many things at once. We can see how one change moves others. This helps us know what comes next. It is a great tool for us. Do you like to see how things work?
Early Reader · Change the reading level on the articleYou can put things in a line. One thing comes first. Another thing comes next. This helps us know which is more. It works like a line of kids. Can you make a line?
Early Reader · Change the reading level on the articleThis is a fun game. It has three sticks. You move round disks from one stick to another. You cannot put a big disk on a small one. It is a tricky puzzle! Can you solve it?
Early Reader · Change the reading level on the articleSome numbers are very special. They do not follow simple rules. Most numbers in the world are like this. They are hard to find. They help us learn about math. Can you find a number today?
Early Reader · Change the reading level on the article