TheStamp Game is a beloved Montessori math material that is generally used by children sometime between their kindergarten and second grade years (depending upon their readiness), 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 using only pencil and paper).

Think back to how 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 Gameallows children to physically manipulate quantities in a way that provides a deeper and richer understanding of mathematical processes. Instead of feeling tedious and confusing, The Stamp Game provides a steppingstone that leads to childrenthat are 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 small stamps in their minds. They have a lasting visual image of what the numbers are doing as they work; it’s not only 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 adding numbers. These skills will have been gained through other Montessori materials that were carefully developed and intended to be used in a specific sequence. Refer to the previous blog titled Montessori Basics – How Math Progresses Through the Levels.

So, how The Stamp Game is used?

A child or small group of children will be seated on the floor across from their Guide, and she will show them where to find the box which contains The Stamp Game. 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: 1, 10, 100, and 1000. They may even notice little pegs (also called skittles)that they will use when they learn to use the same material for division.

The first step is to learn how to “build” numbers using the stamp game. The Guide will either have a pre-printed card or perhaps a dry erase board to write a number,for example 3,721. S/he 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 ten tiles, seven red hundred tiles, and three green thousand tiles, to “build” the quantity 3,721. (The color pattern which represents the hierarchy of numberswill carry through with materialscalled The Small and Large Bead Frames later in the child’s math journey. Later 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 expressly taught.)

Children will practicebuilding numbers to practice. If this 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.

An addition problem will be presented. The children will learn the terms addend and sum, and will make each addend, separated by a space or perhaps a ruler, 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 addition 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 about exchanging (or carrying over). For example, 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 tensequal one hundred,” and so on. Children have already experienced the process of changing using The Golden Bead Material prior to this work.

The lesson will end, and if the Guide feels the children have grasped the concept well enough, they will be encouraged 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 subtraction. Again, the first problems will not involve any exchanging of numbers and will simply be a way to understand the basic process. The Stamp Game is a great example of 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.

Multiplication comes next. 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.

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 each cup. The child will then use the wooden pegs mentioned earlier (also called skittles), 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 sharing fairly, and that it is the only operation in which we start by using the largest number available rather than starting with the units (ones).

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 child’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 Small Bead Frame.

Montessori Material Highlight: The Stamp Game