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 10 of 30
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A smart man named Bhaskara lived long ago. He loved to study numbers. He also looked at the stars. He wrote books to help others learn. His work helps us understand math today. Do you like to count things?
Early Reader · Change the reading level on the articleThings can change in a big way. A small change can make a new pattern. It can even make things look messy. This helps us see how things move. It is like a surprise! Do you like surprises?
Early Reader · Change the reading level on the articleWe use math to see how things grow. It helps us see if a task gets much harder. It shows us a limit. This helps us plan. It is a smart way to look at work. Can you see patterns too?
Early Reader · Change the reading level on the articleWe can pair things up. You can match one toy to one friend. Sometimes a friend gets two toys. Sometimes a toy has no friend. We use math to see how they match. It helps us count. Can you match your socks?
Early Reader · Change the reading level on the articleYou can split things in half. We can count how many times we do this. It helps us find things fast. It even helps us with music! Math is all around us. Can you find a pattern?
Early Reader · Change the reading level on the articleYou can group two things together. One part can be a number. The other part can be a symbol. When we put them together, they make a pair. This helps us solve puzzles. Math is full of pairs. Can you find two things to…
Early Reader · Change the reading level on the articleMath helps us find patterns. We can use numbers to see how things grow. It works for many types of shapes. This helps us solve hard puzzles. It is like a secret code for numbers. Do you like to find patterns?
Early Reader · Change the reading level on the articleYou can group things into two sets. Each part has its own color. One part is red. The other part is blue. Red dots only touch blue dots. This helps us see patterns. Can you find two colors in your room?
Early Reader · Change the reading level on the articleYou can split things in half. This is called bisection. It makes two equal parts. One part is the same size as the other. It works for lines and shapes. Can you find things to split in half?
Early Reader · Change the reading level on the articleYou can find a hidden spot by splitting things in half. First, pick two ends. Find the middle point. Is the spot on the left or right? Pick that side. Do it again. It gets smaller and smaller. Can you find it?
Early Reader · Change the reading level on the articleMath helps us guess prices. It can help with money. Some people use it to stay safe. This helps when things change. It is very smart math. Do you like numbers?
Early Reader · Change the reading level on the articleSometimes we do tests to learn things. We do not want to guess the answer. We hide the truth to be fair. This helps us find what is real. It is like a game of hide and seek. Can you guess the truth?
Early Reader · Change the reading level on the articleWe use tools to solve tasks. Some tasks take a long time. Some take a lot of space. We can measure how hard a task is. This helps us learn. Do you like to solve puzzles?
Early Reader · Change the reading level on the articleWe can use math to find things. It helps us know how heat moves. Imagine a long metal rod. One end is very cold. The other end is hot. Math tells us the heat in between. Can you feel the heat?
Early Reader · Change the reading level on the articleSome things stay in a small space. They do not go too high. They do not go too low. They stay in a band. This helps us know where they are. It is like a fence. Can you find things that stay in a small space?
Early Reader · Change the reading level on the articleA box plot shows a group of numbers. It uses a box and some lines. The lines look like whiskers. It helps us see if numbers are spread out. It makes big groups easy to see. Can you find a box plot?
Early Reader · Change the reading level on the articleA ball can roll fast. You might think a straight line is fastest. But a special curve is better. It helps the ball go down quick. This path is not a straight line. It is a curvy shape. Can you find a curve?
Early Reader · Change the reading level on the articleSome math rules have many answers. You might go in a circle. Then you find a new answer! This is a special spot. It is called a branch point. Can you find a pattern?
Early Reader · Change the reading level on the articleTiny dots can make a pattern. These dots look the same everywhere. They can make shapes like cubes. This helps us see how things are built. It is like a big puzzle. Can you find a pattern?
Early Reader · Change the reading level on the articleImagine you are in a maze. You want to find the end. You look at every path near you first. Then you look at the next paths. This helps you find the best way out. It is a smart way to search. Can you find your way…
Early Reader · Change the reading level on the articleImagine dots joined by lines. Some lines are very special. If you take one away, the dots split apart. We call these lines bridges. They hold parts together. Without them, the group breaks. Do you see any bridges?
Early Reader · Change the reading level on the articleBrook Taylor loved numbers. He found new ways to use them. He studied how things move. His work helps us see things. He was a smart man. Can you find numbers in your room?
Early Reader · Change the reading level on the articleMath helps us find rules. These rules work the same way every time. We can use numbers to show how things move. It helps us learn about the world. Do you like to find patterns?
Early Reader · Change the reading level on the articleA bushel is a way to measure. It is like a big basket. People use it to count things like wheat. It helps us know how much we have. It is a very old idea. Can you find a big basket?
Early Reader · Change the reading level on the articleYou can hide a secret note. You swap each letter for a new one. A man named Caesar used this. It helps keep a message safe. It is like a fun game. Do you want to try it?
Early Reader · Change the reading level on the articleDots can be joined by lines. These dots can form loops. We look for a special shape. It uses as few dots as it can. This makes a tight group. Can you find a loop?
Early Reader · Change the reading level on the articleCamille Jordan loved math. He lived in France. He studied shapes and numbers. He wrote books to help others learn. He even has a rock in space named after him. Do you like math too?
Early Reader · Change the reading level on the articleWe use tools to track things. We can track where things are. We can also track how they move. This helps us know what will happen next. It is a way to see the world. Can you see how things move?
Early Reader · Change the reading level on the articleSome groups are very big. They have many, many things in them. Some groups are even bigger than others. A man named Cantor found this out. He used a smart trick to show it. Can you find big groups too?
Early Reader · Change the reading level on the articleYou can group things together. You can make new groups from those things. The new groups are always more. There is no biggest group. It goes on and on. Can you find a group?
Early Reader · Change the reading level on the articleSome groups are very big. Some are even bigger! One group has many numbers. Another group has even more. It is hard to count them all. We can think about it. Do you like big numbers?
Early Reader · Change the reading level on the articleA cardioid is a special shape. It looks like a heart. It can also look like an apple. You can make it with two circles. One circle rolls around the other. Can you find a heart shape today?
Early Reader · Change the reading level on the articleCaroline Series loves math. She looks at shapes and patterns. She finds new ways to see them. Her work helps us learn. She is a great teacher. Can you find patterns too?
Early Reader · Change the reading level on the articleMath helps us see patterns. We can group things together. We can also split them up. This helps us solve puzzles. It helps us work with computers. Math is fun to learn. Do you like patterns?
Early Reader · Change the reading level on the articleYou can pair things up. Take one group and one more group. Match every part from the first group to the second. This makes new pairs. It helps us find all the ways to match things. Can you find pairs in your room?
Early Reader · Change the reading level on the articleSome numbers follow a pattern. They help us count many things. We can use them to count ways to draw mountains. They also count ways to make shapes. These numbers help us see how things fit. Can you find a pattern?
Early Reader · Change the reading level on the articleMath can look at things in new ways. We can group things together. We use arrows to show how they link. This helps us see how things are the same. It makes math much easier to see. Do you like to find patterns?
Early Reader · Change the reading level on the articleA hanging chain makes a curve. It looks like a deep U. You can see this shape in spider webs too. It helps us build strong arches. This shape is very useful. Can you find a curve like this?
Early Reader · Change the reading level on the articleCathleen loved numbers and shapes. She used math to study how air moves. She looked at how air flows around a plane wing. Her work helped us understand fast air. She won many big prizes for her work. Do you like to…
Early Reader · Change the reading level on the articleMath helps us find answers. Sometimes a math problem is hard. It can be a broken path. We find a new way to walk. This helps us get the right answer. Can you find a way?
Early Reader · Change the reading level on the articleSome math rules help us see shapes. These rules keep lines looking right. They help us draw smooth paths. This helps us see how things move. It is very cool to see. Can you find shapes in your room?
Early Reader · Change the reading level on the articleMath helps us see how things fit. It can look at lines and shapes. It shows how two lines work together. This helps us find angles. It makes math very strong. Can you find shapes in your room?
Early Reader · Change the reading level on the articleMath can help us find paths. We can trace a loop. If there are no holes, the path counts as zero. This helps us solve puzzles. It is a neat trick. Can you find a loop?
Early Reader · Change the reading level on the articleWe can use dots and lines to show rules. The dots are like points. The lines show how to move. You can follow the paths to see a pattern. This helps us see how things work. Can you find a pattern in the lines?
Early Reader · Change the reading level on the articleCecilia Krieger loved math. She worked with numbers and shapes. She was a very smart teacher. She helped many women learn math. Her work helps us today. Do you like math too?
Early Reader · Change the reading level on the articleImagine a grid of small squares. Each square can be on or off. They follow simple rules. These rules tell them what to do next. They look at their neighbors to change. Patterns grow and move. It is like a tiny world.…
Early Reader · Change the reading level on the articleA chain is a way to measure. It is used to find how long things are. People use it to map out land. It helps us know where roads and tracks go. It is a very old idea. Can you find something long to measure?
Early Reader · Change the reading level on the articleCharles Spearman was a smart man. He liked to study how people think. He looked for patterns in how we learn. This helped us understand our minds. He was a very busy teacher. Do you like to learn new things?
Early Reader · Change the reading level on the article