The blue bar from the Geometric Hierarchy Of Number, 5 by 0,5 by 0,5 cm, sold on its own as a replacement or an addition. The whole material is an argument made in wood rather than in words: the small green cube is half a centimetre on each edge, ten of them end to end give this bar its five centimetres, ten bars side by side make the tablet, and ten tablets stacked make the large cube. Each step is visibly ten of the one before it. The complete material is a separate item.
“Free the child's potential, and you will transform him into the world.”
The Geometric Hierarchy of Number materials embody Montessori's principle of providing concrete representations of abstract mathematical concepts. This blue bar serves as a bridge between sensorial exploration and mathematical understanding, allowing children to physically experience quantity through length.
Following the isolation of difficulty principle, the single blue color eliminates distraction while the precise 50mm length with 5mm segments offers clear visual and tactile discrimination. The material respects the child's need for repetition and self-correction, as the evenly spaced markings provide immediate feedback. This sensorial approach to number aligns with Montessori's observation that children absorb mathematical concepts through their senses before developing abstract thinking, making the transition from concrete to abstract learning natural and joyful.


Follow the Montessori method of presentation for optimal child development.
Place the blue bar on a neutral-colored mat at the child's workspace. Ensure good lighting to clearly see the segment markings. Have a tray ready for carrying the material.
Invite the child to carry the tray with the blue bar to their mat using two hands
Place the bar horizontally on the mat and run your finger slowly along its entire length from left to right
Trace each 5mm segment individually with your fingertip, pausing briefly at each marking
Invite the child to trace the bar, first the whole length, then each segment
After sufficient sensorial exploration, begin counting each segment aloud: 'one, two, three, four, five...'

Heritage
Since 1929

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AMI
Endorsed

Introduces concepts of length, quantity, and unit measurement through concrete manipulation
Segmented markings develop the ability to perceive differences in dimension and proportion
Present this material after the child has worked extensively with the pink tower and brown stair to ensure readiness for linear discrimination
Everything you need to know about this material.
Contact Our ExpertsThe blue bar develops visual discrimination, length perception, spatial awareness, and introduces mathematical concepts through hands-on exploration. Children learn to compare sizes, understand proportions, and build a concrete foundation for abstract number concepts.
Children use the bar for comparing lengths, ordering exercises, and matching activities. The segmented markings help them count units visually and tactilely, preparing them for more advanced mathematical materials like the number rods and red and blue rods.
The blue bar measures 50mm in length, 5mm in width, and 5mm in height. It's crafted from smooth, child-safe wood with a blue finish and features evenly spaced markings along its length for counting and measuring activities.
At this age, children are in their sensitive period for order and sensorial exploration. The bar's size is perfect for small hands, and its simple design allows young learners to focus on one concept at a time without overwhelming complexity.
The blue bar serves as a bridge between sensorial and mathematical materials. It prepares children for work with number rods, bead chains, and the decimal system, creating a seamless progression from concrete sensorial experiences to abstract mathematical understanding.
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