Math Books for Children of All Ages!

Montessori Thrive • May 8, 2020

In Montessori schools, children tend to really love math. It’s no wonder, with gorgeous materials created to appeal to their senses and developmental stages. While work with the materials is best left in the classroom, one fun way parents can support their children’s love of math is by reading to them about it. This month we have created a list of books that will appeal to children of all ages, whether they are learning to count or discovering the magic of Pi. Check out these titles and let us know what you think!


Numbers

by John J. Reiss

There are some iconic early counting books out there, but if you’re looking for something fresh to inspire a love of numbers, check out this beautiful little book. With bold illustrations and sturdy pages, children can learn to count to ten and beyond (there’s even a page for 1000!).


How Much Is a Million?

by David M. Schwartz, illustrated by Steven Kellogg

Is your child ready to expand their understanding of place value? Are you looking for a way to help them conceptualize larger numbers? This charming book is both fun and educational, giving kids concrete ways to visualize one million. How tall are a million children? How long does it take to count to a million? How much water would a million goldfish need? Find the answers to these questions and more!


The Grapes of Math

by Greg Tang, illustrated by Harry Briggs

Adding, subtracting, multiplying, and dividing are important skills for all young children to learn. Finding different ways to look at groups of numbers can make operation work a breeze. The Grapes of Math uses clear illustrations and catchy rhymes to challenge children to find new ways to count larger numbers. Your child is sure to have fun figuring out these math riddles with you.


One Hundred Hungry Ants

by Elinor J. Pinczes, illustrated by Bonnie MacKlain

Everyone loves a picnic, including ants! In an attempt to get to the food as soon as possible, the ants keep rearranging themselves into different groups. Two lines of 50 is surely faster than one line of 100, right? What about five lines of 20?


Measuring Penny

by Loreen Leedy

Lisa’s teacher asks the class to go home and measure something. What could be more fun than measuring your pet dog? This book discusses multiple standard units, nonstandard units, comparisons, and a myriad of ways to measure. Lisa and Penny have fun at the park, where there are plenty of other dogs to measure, too!


The Lion’s Share: A Tale of Halving Cake and Eating It, Too

by Matthew McElligott

An ant attends the Lion’s annual fancy dinner, along with a number of other animals. The sweet ant is shocked by the terrible behavior of the other guests. Beyond their awful table manners, they divide a cake with no regard for fairness (although they do give readers a great lesson about fractions along the way!). When the ant offers to bake the king a cake, the other animals try to outdo her, with each doubling the offer of cakes. Kids will be amazed and amused!


Math Curse

by Jon Sciezka, illustrated by Lane Smith

What would you do if your math teacher told you that basically everything in life could be a math problem? If you’re the main character in this book, you might feel like you have a math curse. When life is suddenly numbers, fractions, and word problems, how can you possibly think about anything else? When even the character’s dreams become math problems, they realize they have to find a solution.


Sir Cumference and the Dragon of Pi

by Cindy Neuschwander, illustrated by Wayne Geehan

When Sir Cumference has a stomach ache, his son Radius runs off to find some medicine. He accidentally turns his father into a dragon, and finds a mysterious mathematical poem to help him undo the magic. While searching for answers, Radius sees circles everywhere, but he needs to figure out how to measure circumference in order to save his dad. He does, of course, and what better way to celebrate than with some pie?


The Boy Who Loved Math: The Improbable Life of Paul Erdos

by Deborah Heiligman, illustrated by LeUyen Pham

Young Paul did not live his life like most people. He struggled with seemingly simple tasks, yet he was always thinking about math. As a four-year-old, he enjoyed mentally calculating how many seconds old people were. This story highlights the fact that there is a place in this world for all of us. The genius of this one boy was realized as he traveled the world collaborating with other mathematicians.


What’s Your Angle, Pythagoras?

by Julie Ellis, illustrated by Phyllis Hornung

While we don’t actually know anything about the childhood of the famed Pythagoras, Ellis imagines the types of mischief (and learning!) he may have gotten up to. Curiosity can lead us in many different directions, and Pythagoras goes on a voyage with his merchant father. His passion for buildings leads him to learn about angles, and how a knotted rope helped early builders calculate precise measurements. He explores some more, and uses patterned tiles to discover the concept of squaring.


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Have you ever watched a child trace the outline of a window with their finger, or carefully line up blocks into a perfectly symmetrical row? They may not have a name for what they're doing, but they are already exploring geometry. Dr. Maria Montessori understood that geometry is not an abstract school subject. It is part of the world children live in from the very beginning. A glance at the typical geometry textbook might suggest otherwise. Formulas, diagrams, and definitions can feel remote and lifeless, something to be memorized and forgotten. But look around for a moment. There is geometry in the angles of a mineral crystal and in the symmetry of a butterfly's wings. There is geometry in the legs of a chair and in the steel girders of a bridge. Children encounter it everywhere! In fact, research suggests that a basic intuitive understanding of geometric concepts may be inborn in human beings. A fascinating study of the Munduruku (an indigenous group living in the Amazon whose language includes very few spatial or geometric terms) found that both adults and children demonstrated an intuitive grasp of basic geometric ideas. This isn't something they were taught. It was already there. Montessori classrooms build on exactly this kind of inborn understanding. From Sensory Experience to Big Ideas In the early childhood years, children work with geometry through their hands. Materials like the Constructive Triangles, the Metal Insets, and the geometric cabinet give children a felt, physical understanding of shape, symmetry, and form before we introduce any formal terminology. Children gather and store these impressions. Their minds are being prepared. As they get older and certainly in the elementary years, children are ready to bring names and reasons to what they already sense. Elementary-aged children don't just want to know what something is called. They also want to know why. Why is this shape called a pentagon? (Spoiler: Its name comes from the Greek word for five: pente.) Geometry becomes a doorway into the history of language, ancient Greece, and the lives of mathematicians like Thales, Pythagoras, and Euclid, who puzzled over the same ideas thousands of years ago. This is the spirit of Cosmic Education when we pull one thread of curiosity to find it unravels into history, language, culture, and mathematics! Geometry, Algebra, and Arithmetic Woven Together One of the things that makes Montessori's approach to geometry so distinctive is that it doesn't stand alone. In the Montessori classroom, geometry is part of a three-part approach to mathematics, interwoven with arithmetic and algebra in ways that make each of them easier to understand. The Binomial Square is a good example. It presents the algebraic expression of (a + b)² = a² + 2ab + b² as a geometric pattern of squares and rectangles that children can actually build and hold. The arithmetic follows the pattern. The pattern confirms the algebra. Each one reinforces the others, and the whole thing is far more memorable than just a formula written on a board. Open-Ended, Creative, and Genuinely Fun Plus, a lot of Montessori geometry work has no single correct answer. We invite children working with the Metal Insets or Constructive Triangles to find as many equivalent figures as they can for a given shape. There may be dozens of ways to approach the same problem. This open-endedness nurtures the creative, analytical thinking that elementary children are hungry for. Plus, this quality of thinking will serve them in every area of life. Compass-and-straightedge constructions are another example. These beautiful, precise drawings challenge children in a way that is both mathematical and artistic. Many children find them deeply satisfying. What This Looks Like at Home You don't have to wait for the classroom to feed your child's geometric curiosity. Point out the shapes in a honeycomb. Notice the angles in a spider's web. Talk about the tiles on the floor or the panes in a window. Ask your child questions. Do you think that could be a triangle? How many sides does it have? These small moments of noticing are the same thing Montessori described when she wrote about preparing the environment to reflect the world children already live in. Geometry is already there. We're simply helping children see it. Come visit us in LakeCreek Montessori School to see how this unfolds in the classroom and to watch children fall in love with one of humanity's oldest ways of understanding the world.
By LakeCreek Montessori School • June 24, 2026
unfold over time. Children begin with a single frame and inset, using three colored pencils: one for tracing the frame, one for tracing the inset, and one for filling in. As their control deepens, subsequent exercises introduce the use of insets only (without frames), multiple overlapping shapes, repeated tracings of a single shape in different positions, and eventually fully free geometric design using any combination of insets, colors, and orientations. One of the most beautiful exercises is graded color. Using a single inset and a single pencil, children fill the shape with vertical lines, moving from darker to lighter (or lighter to darker) by adjusting the pencil pressure. This exercise requires an extraordinary sensitivity of touch, and when children achieve it, the result is genuinely lovely. This work can continue throughout a child’s entire time in the Children’s House. It can be relaxing and meditative, and when older children do it with great refinement, it naturally inspires younger children who observe them. Readiness and Timing Two key preparations precede the metal insets. Children should be able to trace the shapes of the geometry cabinet and the leaf shapes of the leaf cabinet using a stylus, and ideally they should be working with the movable alphabet. Timing matters. If we introduce the work too soon, before the hand is ready, it becomes too great a challenge rather than a satisfying one. The guide’s role is to observe carefully and to offer the presentation at the moment when it will be received with both readiness and joy. The metal insets are a landmark in the child’s journey toward written language. This layered preparation honors both the intelligence of the hand and the unhurried nature of true readiness. We invite you to come see the metal insets and the full breadth of our carefully prepared environment in person. Contact us to schedule a visit here in LakeCreek Montessori School or to learn more about life in our Children’s House.
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