Montessori Materials: The Stamp Game

Meagan Ledendecker • September 27, 2021

This post is the first in a new series. Each month, throughout this school year, we will share information about a different Montessori material. Doing so will help parents who are curious about what goes on in our classrooms, but it will also give unique insight into Montessori principles and how the method was developed.

 

Today we talk about the stamp game. A beloved math material that is used by children sometime as early as about age five (depending upon their readiness) and up into elementary, it allows young children to add, subtract, multiply, and divide using numbers into the thousands. Using a material such as the stamp game allows children to learn a concept in concrete terms, rather than abstractly (which is what they will be doing when they eventually complete the same types of problems with just pencil and paper).

 

Think back to when you learned basic math computations: it was very likely done abstractly, and you memorized what must be done when your numbers added up to more than ten in one column, or you needed to borrow some from the next column, and so on. Being taught that way certainly gets the job done, but what we are effectively doing then is teaching children to memorize the process.

 

Using a material like the stamp game allows children to physically manipulate the numbers in a way that provides a deeper and richer understanding of mathematical processes. Instead of feeling tedious and confusing, the stamp game provides a stepping stone that helps children feel excited to discover the secrets of numbers and operations. Many Montessori children have reported that as they get older and find themselves working on much more complicated math concepts, they still picture the movement of the tiny stamps in their minds. They have a lasting visual image of what the numbers are doing as they work; it’s not just rote memorization.

 

Please bear in mind that prior to being introduced to this material, the child will have a solid understanding of place value, as well as the basic concept of each operation (addition, multiplication, division, and subtraction). These skills will have been gained through other Montessori materials that were carefully developed and intended to be used in a specific sequence.

 

So let’s get down to the important part: how the stamp game is used.

 

A child or small group of children will be seated on the floor across from their guide. A work mat will have been unrolled, and the guide will stand up, walk across the room, and carefully select the material from the shelf, carrying it carefully to the work mat. Even this small action has purpose: the guide is wordlessly teaching the child where the material can be found and where it is expected to be returned, as well as modeling how it should be carried around the room.

 

When the box is opened the guide may ask the children what they notice. They may comment on the colors of the wooden tiles: green, blue, and red. They will notice the small numbers printed on each tile: units, tens, hundreds, and thousands. They may even notice little pegs that they will use much later when they use the same material for division.

 

The first step is to learn how to make numbers using the stamp game. The guide will write a number such as 3,721. They will then demonstrate by taking one green unit stamp out of the box and lining it up neatly on the rug in front of the compartment it came from. This will be followed by two blue tens tiles, seven red hundreds tiles, and three green thousands tiles. (The color pattern begins to repeat because much later, using a different material with the same colors, the child will learn about number series and why we separate larger numbers with commas. The idea is being introduced indirectly long before it is expressively taught.)

 

Children will then take turns making numbers. If the concept takes some effort, this may be their work and their practice for several days or weeks. If they seem ready for more, the guide will move onto the next step.

 

When moving into addition work with the stamp game, the children will learn or review the terms addend and sum, and will make each addend, separated by a space or perhaps a pencil, on the work mat. The guide will then slide the bottom of each column of tiles upward, creating a single line for each place, as illustrated in the photo above. Starting at the bottom of the units, the tiles will be carefully counted and recorded in the proper place wherever the problem is written down. This will continue with the tens, hundreds, and thousands.

 

At first, the problems will have been carefully selected so that there is no need for exchanging. Once the child is ready for more of a challenge, they will learn that if there are ten unit tiles, they will need to be gathered up, deposited back into their compartment, and exchanged for one tens tile. They will learn to say aloud to themselves, “Ten units is equal to one ten,” and so on.

 

The lesson will end, and if the guide feels the children have grasped the concept well enough, they will be expected to use the material regularly and independently (or with a friend) to complete problems. The guide will periodically check in to observe and determine when mastery is achieved.

 

Whenever the child is ready (which could be weeks or even months), they will learn how to use the stamp game for other operations, such as subtraction. Again, the first problems will not involve any exchanging of numbers and will simply be a way to understand the basic process. You can begin to imagine the many steps and complexity of each Montessori material. When subtracting, the child will lay out the minuend, slide down the subtrahend, and find the difference.

 

With multiplication, children learn that all multiplication is making the same number a specific amount of times. They will see its connection to addition, as the process is very similar.

 

As for division, the guide will introduce tiny wooden cups - one for each place value. Children look at the dividend and put the correct amount of tiles into the cups. They will then use the wooden pegs mentioned earlier (called skittles as they resemble bowling pins), to mark the divisor. Rather than lining the tiles up beneath the compartments, they now learn to line them up beneath the skittles. They learn that division is about being fair, and that it is the only operation in which we start by using the largest quantity available rather than starting with the units.

 

It can take an entire year (or longer) for a child to move through each of the steps described. The guide will keep a close watch on each individual’s progress, and provide them with more challenge as soon as they are ready. When a child has fully exhausted their learning with the stamp game, they are ready to move on to a slightly more abstract math material: the bead frame.

 

We hope you enjoyed this article. Want to see the stamp game in action? We believe having parents observe in our classrooms is a critical component of our success. Contact us to schedule a tour and learn more.

Group of elementary students sitting cross legged on the floor looking at maps and timelines
By Meagan Ledendecker May 7, 2026
See how Montessori timelines make abstract time tangible for children, building historical thinking, imagination, and inner order through hands-on work.
By Meagan Ledendecker May 7, 2026
If you've spent any time in a Montessori early childhood classroom, you've likely noticed the sandpaper letters on the shelf: elegant, tactile, traced by small fingers again and again. And if you've looked closely, you may have noticed something that surprises many families. Those letters are in cursive. In a world where most children learn to print first, Montessori's cursive-first approach raises questions. Why cursive? Why so early? The answers reach back to Dr. Maria Montessori's own careful observations of children, as well as forward to what modern neuroscience is now confirming about the developing brain. What Dr. Montessori Actually Observed Dr. Montessori was a meticulous observer of children, and her thinking about writing developed through years of direct experimentation. One of her core observations was that children naturally gravitate toward curved, flowing lines rather than the rigid, straight strokes that were (and often still are) the starting point for teaching print. She noticed this pattern across multiple contexts. When children who were learning to write began with rows of straight strokes, their attention would gradually drift, and the straight lines would slowly transform into curves, as if the child's hand were following its own natural inclination. And when children drew spontaneously by tracing figures in sand with a fallen twig, or scribbling freely on paper, they rarely produced short, straight lines. Instead, they made long, flowing, interlaced curves. Dr. Montessori paid attention. Rather than something random, she recognized the hand's natural motion expressing itself. Critical of standard teaching approaches that began with isolated geometric strokes, or regimented mark-making, Dr. Montessori saw that cursive script, with its connected, flowing letters, aligned far more naturally with the motions children were already making. It worked with the child's hand, rather than against it. The Neurological Case for Cursive Thanks to her keen observations, Dr. Montessori intuited benefits that research is now beginning to confirm. Modern brain science provides a compelling case for the value of cursive writing. This is especially powerful in early childhood, when the brain is forming the connections that will support reading, fine motor coordination, and cognitive development for years to come. Dr. William R. Klemm, writing in Psychology Today, summarized findings showing that learning cursive trains the brain to develop what researchers call “functional specialization,” or the capacity for optimal efficiency. Brain imaging studies show how multiple areas of the brain are activated simultaneously during cursive writing in a way that doesn't happen with typing or print. The integration of sensation, movement control, and thinking that cursive requires appears to support broader cognitive development in genuinely significant ways. Klemm also suggested that learning cursive trains the brain for more effective visual scanning, with potential benefits for reading speed and hand-eye coordination. In other words, the child who traces cursive sandpaper letters with their fingertips is developing neural pathways that support a wide range of future learning. Clarity, Beauty, and the Practical Benefits Beyond the neurological research, there are practical reasons that Montessori educators have observed over generations of practice. Cursive provides a better visual distinction between letters that are easily confused in print. Think about the pairs that trip up so many young learners: b and d, p and q. In cursive, these letters look different from one another, which reduces the visual confusion that causes so many children to struggle in the early stages of reading and writing. And then there is the matter of beauty, something Dr. Montessori took seriously in everything she prepared for children. She wrote that, in teaching writing, we should pay close attention to "the beauty of form" and "the flowing quality of the letters." Cursive handwriting, when developed well, is genuinely lovely. It is a form of penmanship that connects children to a long tradition of human expression through the written word. The Montessori approach treats handwriting as a craft worth caring about. What This Looks Like in the Classroom In a Montessori early childhood environment, the path to writing begins long before a child picks up a pencil. Practical life activities like pouring, spooning, buttoning, and lacing quietly help children develop the fine motor control and hand-eye coordination that writing requires. The sensorial materials train children’s pincer grip and refine the precision of small muscle movements. And the metal insets give children practice with the flowing, curved lines that build cursive letters. Then children begin using the sandpaper letters. While verbalizing the phonetic sound, children trace the letter with two fingers. Children feel the letter, produce its sound, and see its form. This multi-sensory experience engages multiple brain areas simultaneously and creates rich, layered associations that support both writing and reading development. By the time children are ready to write independently, they have been preparing their hand and mind for months, often without even realizing it. A Method Ahead of Its Time Dr. Montessori consistently arrived at insights that research has later confirmed. Her reasons for emphasizing cursive were rooted in direct observation of children. She watched children’s hands and their natural movements. She also looked to see what helped them and what created unnecessary struggle. Dr. Montessori wasn't following a trend or a theory. She was following the child. Decades later, brain imaging technology and developmental research are catching up to what Dr. Montessori saw. Flowing lines of cursive script, the sandpaper letters on the shelf, the careful preparation of the hand before children ever pick up the pencil. This is a deep and practical understanding of how children's minds and bodies actually work. For families curious about why Montessori makes this choice, the short answer is this: because children's hands already know how to make these movements. Montessori simply listens to what the hand is already telling us and builds from there. Visit our school in Lenox, MA and see the sandpaper letters and writing materials in action. We'd love to show you how the path to writing unfolds in Montessori.
Image of a preschool aged girl standing in front of an ironing board with a spray bottle and fabric
By Meagan Ledendecker May 7, 2026
When children struggle, Montessori asks: what's in the way? Explore how the prepared environment helps children find their way back to themselves.
Group of toddlers exploring various materials in a grassy, sunny outdoor space
By Meagan Ledendecker May 4, 2026
Discover how Montessori education nurtures children's deepest human needs — from exploration and meaningful work to belonging and spiritual growth.
image of an adult and an elementary student sitting together on the floor reviewing a lesson
By Meagan Ledendecker April 27, 2026
Discover how peer learning, meaningful context, adult interaction, and order align Montessori with the science of how children learn best.
Image of three elementary students standing and crouching around a raised garden bed
By Meagan Ledendecker April 20, 2026
Does Montessori work? Explore the research behind movement, choice, interest, and intrinsic motivation in Montessori: The Science Behind the Genius.
Show More