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.
Some numbers are not like others. They are a special kind. They help us see new paths. We use them to turn things. They help us build and fix things. Do you like to find new things?
Early Reader · Change the reading level on the articleSome numbers are very special. They do not work like normal numbers. You can use them to turn things. They can turn a line into a shape. They help us see new things. Do you like to find new things?
Early Reader · Change the reading level on the articleSome math rules hide things. They show how parts work together. We can see a circle this way. It is a shape that stays round. Math helps us find these shapes. Can you find a circle?
Early Reader · Change the reading level on the articleYou can guess what might happen next. You look at things you see. You use them to make a guess. It might be right. It might be wrong. Do you like to make guesses?
Early Reader · Change the reading level on the articleSome things are not the same. One number can be more. One number can be less. This helps us compare things. We use it to see sizes. It helps us every day. Can you find things that are not equal?
Early Reader · Change the reading level on the articleYou can use clues to learn new things. You look at what you see. Then you guess what is true. This helps you solve puzzles. It is like being a detective. Can you find clues today?
Early Reader · Change the reading level on the articleWe use facts to talk to others. It helps us send messages. It helps us use phones. It helps us use the web. This helps us learn. Can you send a message?
Early Reader · Change the reading level on the articleYou can find things in two groups. Look for what is in both. It is like sharing toys. Some toys are in both piles. That is the part that meets. Do you see things that match?
Early Reader · Change the reading level on the articleSome rules can be undone. You can go back to the start. It is like retracing your steps. If you add, you can take away. If you go forward, you can go back. Can you find a way to undo a rule?
Early Reader · Change the reading level on the articleSome numbers are very special. They never end. They do not repeat a pattern. You can find them in circles. They are in many places. We use them to measure things. Do you like to find patterns?
Early Reader · Change the reading level on the articleTwo things can be the same. They might look different. But they work in the same way. One is like the other. This helps us solve puzzles. It makes math fun. Do you see things that work the same way?
Early Reader · Change the reading level on the articleJacob Bernoulli loved numbers. He lived a long time ago. He studied how games work. He looked at chance and luck. This helps us know what might happen. Do you like to play games?
Early Reader · Change the reading level on the articleA man named d'Alembert loved math. He looked at how things move. He also studied music. He wrote many books about science. His ideas still help us today. Do you like to solve puzzles?
Early Reader · Change the reading level on the articleJohann loved math. He studied numbers and shapes. He worked with his brother too. This helped him learn more. Math helps us solve puzzles. Do you like math?
Early Reader · Change the reading level on the articleJohn was a man who loved math. He was very good at it. He helped build early computers. He even helped with big science projects. His work helps us today. Do you like to count things?
Early Reader · Change the reading level on the articleA man named Joseph Fourier loved math. He studied how heat moves. He also looked at our air. He found out how the air keeps us warm. His ideas help us today. Can you feel the sun's heat?
Early Reader · Change the reading level on the articleLagrange was a man who loved numbers. He looked at how things move. He studied the stars and the moon. His work helps us understand the world. He was a very smart teacher. Do you like to count things too?
Early Reader · Change the reading level on the articleKarl Pearson loved numbers. He studied how to use them. He used numbers to look at the world. This helped many people learn. He was a very smart man. Do you like to count things?
Early Reader · Change the reading level on the articleKarl loved math. He studied numbers and shapes. He was a great teacher. He helped many students learn. He worked very hard. Do you like math too?
Early Reader · Change the reading level on the articleMath can look at knots. A math knot is a loop. The ends are joined together. You cannot untie it. It is like a ring. It can be very pretty. Do you like knots?
Early Reader · Change the reading level on the articleSome things stay the same. A warm room stays warm. Heat can move in a room. It moves until it is even. This helps us learn about heat. It helps us learn about space. Do you like to learn?
Early Reader · Change the reading level on the articleMath can help us solve hard puzzles. We can change a hard problem into an easy one. This makes it much faster to find the answer. It helps people build things. It is like a magic trick for numbers. Do you like math…
Early Reader · Change the reading level on the articleThings can be hard to guess. A coin flip is a surprise. One flip might be heads. Many flips show a pattern. The more you try, the more it stays the same. It helps us know what to expect. Can you try it?
Early Reader · Change the reading level on the articleImagine you walk on a hill. As you get close to a spot, you see where you will be. You get closer and closer to a point. It is like a guess that gets better. Can you see where you are going?
Early Reader · Change the reading level on the articleSome things get closer and closer to a goal. Imagine a line that moves toward a spot. It gets very near that spot. It may never touch it. But it stays close. Can you find things that get closer to a goal?
Early Reader · Change the reading level on the articleMath can show us a straight line. We use numbers to draw it. It can go up or down. It can even be flat. This helps us see how things change. It is a fun way to see math. Can you find a straight line?
Early Reader · Change the reading level on the articleYou can find the best way to do things. It helps you use what you have. It can help a farmer plan crops. It can help make things fast. It makes big jobs easy. Do you like to plan?
Early Reader · Change the reading level on the articleSome shapes look like flat maps. A round ball is not flat. You need many maps to see it all. These maps work like a book. They help us see big shapes. Can you find a round shape?
Early Reader · Change the reading level on the articleThings change in a way. What happens next depends on what is happening now. This helps us guess what comes next. It can help us learn about many things. It is a fun way to look at the world. Can you see things change?
Early Reader · Change the reading level on the articleSome numbers never change. They stay the same every time. We see them in circles. We see them in shapes. They help us learn about our world. Do you like to find patterns?
Early Reader · Change the reading level on the articleYou can use a trick to show things are true. It is like falling dominoes. First, you tip one over. Then, you show that one tip will knock over the next. This makes them all fall! It helps us know many things are…
Early Reader · Change the reading level on the articleMath helps us think clearly. It looks at how ideas fit together. It shows us how to find the truth. This helps us solve big puzzles. We can use it every day. Do you like to solve puzzles?
Early Reader · Change the reading level on the articleWe want to find the best thing. It can be the most or the least. We look at many choices. We pick the one that works best. This helps us solve big puzzles. Can you find the best way?
Early Reader · Change the reading level on the articleNumbers can live in a grid. They go in lines called rows. They also go in lines called columns. This helps us see many numbers at once. It helps us solve big puzzles. Can you find a grid near you?
Early Reader · Change the reading level on the articleWe can find a middle number. It helps us see a group. It shows what is in the center. This helps us learn about many things. It is a smart way to look. Can you find the middle?
Early Reader · Change the reading level on the articleFind the middle of a group. First, put things in order. Put the smallest ones first. Put the biggest ones last. Now, find the one in the middle. It splits the group in two. Can you find the middle?
Early Reader · Change the reading level on the articleScientists look at many studies at once. They put all the facts together. This helps them see the big picture. It helps them know what is true. It is a smart way to learn. Do you like to find clues?
Early Reader · Change the reading level on the articleWe can measure how far things are. You can walk in a straight line. Or you can walk along streets. Both ways show a distance. Math helps us find these paths. It helps us see what is close. Can you find something…
Early Reader · Change the reading level on the articleA mile is a long way. It helps us measure how far we go. You can walk for a long time to finish one. It is used on many roads. Do you know how far you can walk?
Early Reader · Change the reading level on the articleLook at a group of things. Some things might be the same. One thing might show up a lot. That is the winner! We call that the mode. It helps us see what is most common. Can you find a mode in your toys?
Early Reader · Change the reading level on the articleNumbers can wrap around. Think of a clock. After twelve, the numbers start over. This helps us tell time. It also helps us find patterns. Do you like counting with a clock?
Early Reader · Change the reading level on the articleMath uses many rules. These rules help us group things. We can use rules to count or move things. This helps us see patterns. It is a way to study shapes and numbers. Do you like to find patterns?
Early Reader · Change the reading level on the articleWe can find out how much space things take up. You can find the size of a flat shape. You can also find the size of a solid object. This helps us see how big things are. It is like measuring a box. Can you find…
Early Reader · Change the reading level on the articleYou can use groups to count fast. Imagine four bags with three marbles each. That makes twelve marbles in all. This helps you count many things. It is like adding the same group again and again. Can you find groups…
Early Reader · Change the reading level on the articleMath can look at many things at once. It can study shapes in the air. It can find the size of a hill. This helps us learn about our world. It is very cool to see. Do you like shapes?
Early Reader · Change the reading level on the articleA nautical mile helps us travel. It is used on ships. It is used in planes too. It helps people find their way. It is a special way to measure. Can you imagine sailing the sea?
Early Reader · Change the reading level on the articleWater and air move in many ways. We use math to see how they flow. This math helps us build fast cars. It also helps us study blood. It is a big puzzle for us. Can you see how things move?
Early Reader · Change the reading level on the articleSome numbers are below zero. They are the opposite of regular numbers. You see them on a cold thermometer. They can also show money you owe. These numbers help us in many ways. Do you see numbers below zero?
Early Reader · Change the reading level on the article