Hollow number shapes in the US version, an additional exercise for preparing a child to write numerals. The idea is Maria Montessori's own and she sets it out in The Discovery Of The Child. Numerals are harder to write than letters for one reason nobody mentions: there are only ten of them, so a child gets far less practice at each, and several are near mirrors of one another. Extra tracing is the answer. Wood with sandpaper and paint, for ages 3 to 6.
“Education is a natural process spontaneously carried out by the human individual, and is acquired not by listening to words but by experiences upon the environment.”
The Hollow Number Shapes introduce mathematical symbols through the fingertips, engaging the tactile sense that young children naturally use to explore their world.
By tracing raised sandpaper numerals, children absorb the shape and direction of each number through muscle memory before they attempt writing with a pencil. The rough texture of sandpaper against smooth wood creates a sensory contrast that helps the brain register and remember each numeral's unique form. This US version presents numbers in the style commonly used in American schools, ensuring consistency between classroom and home learning. The green background provides visual isolation for each sandpaper number, allowing children to focus completely on one symbol at a time. Through repeated tracing of these sandpaper surfaces, children build the hand strength and control needed for future writing while simultaneously developing their mathematical mind through direct contact with numerical symbols.


Follow the Montessori method of presentation for optimal child development.
Place the number boards in sequence on a mat. Have a small tray with sand or salt nearby for additional tracing practice.
Introduce three numbers at a time using the three-period lesson
Demonstrate tracing with your index and middle fingers together, moving in the correct formation direction
Invite the child to trace while naming the number aloud
Practice tracing in sand or salt after mastering the board
Match the sandpaper numbers with quantity using counters or number rods

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Since 1929

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Tracing sandpaper numbers develops the hand movements needed for writing numerals correctly.
Tactile exploration helps children internalize number shapes before formal writing begins.
Store boards in a basket or box where children can access them independently for practice
Everything you need to know about this material.
Contact Our ExpertsThese hollow number shapes feature raised sandpaper numbers on wooden boards, allowing children to trace around the raised edges rather than over flat sandpaper. This provides enhanced tactile feedback and helps children better understand the shape and formation of each numeral through both touch and visual contrast.
Children can begin using sandpaper numerals around age 3 when they show interest in numbers and have developed sufficient fine motor control. The material remains useful through age 6 as children refine their number writing skills and develop deeper number recognition.
The sandpaper texture provides sensory feedback that helps children develop muscle memory for correct number formation. By tracing the raised numbers with their fingers, children internalize the directional movements needed for writing before they begin using pencils, following the Montessori principle of concrete to abstract learning.
Children can trace numbers while saying their names, match numerals to quantity materials, create number sequences, play memory games, use them for sandtray writing preparation, and combine them with counters or number rods for comprehensive mathematical understanding.
The green background provides visual contrast that helps children clearly distinguish the number shapes. In Montessori mathematics materials, green is traditionally used for units, establishing a color-coding system that children will recognize throughout their mathematical journey with advanced Montessori materials.
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