The Long Division is a Mathematics Montessori material designed for children aged 3-6, crafted by Nienhuis Montessori to AMI standards.
This comprehensive Long Division material introduces children to the concept of division through hands-on manipulation of beads and pegs. The color-coded system and numbered boards guide learners through the division process systematically, making abstract mathematical concepts concrete. Each division board (1-9) provides structured practice with visual and tactile reinforcement of divisor relationships.
“Children display a universal love of mathematics, which is par excellence the science of precision, order, and intelligence.”— Maria MontessoriThe Discovery of the Child
“The greatest sign of success for a teacher is to be able to say, 'The children are now working as if I did not exist.'”
— Maria Montessori, The Absorbent Mind
The Long Division board set transforms the abstract process of division into a concrete, manipulable experience through color-coded beads and numbered boards. Each of the nine division boards represents a specific divisor, allowing children to physically distribute beads into equal groups while seeing the mathematical relationship unfold. The pegs on each board create designated spaces for sorting, making the concept of 'sharing equally' visible and tangible. This material bridges the gap between concrete quantity work with golden beads and abstract mathematical operations. The systematic progression from division board 1 through 9 allows children to discover patterns in divisibility while building muscle memory for the division process. Through repeated work with these boards, children internalize that division is the inverse of multiplication, as they physically experience how many groups of a divisor fit into a dividend.
Each order includes everything needed for proper presentation and long-term use.
Follow the Montessori method of presentation for optimal child development.
Present the dividend quantity in beads, counting them together
Begin distributing beads one at a time into each peg space, moving systematically across the board
Continue distributing until all beads are placed or no more equal distribution is possible
Count how many beads are in each group to find the quotient
Each material supports multiple areas of child development simultaneously.
Transforms abstract division concepts into concrete, manipulable experiences through systematic bead distribution.
Sequential work with divisors 1-9 builds pattern recognition and mathematical reasoning skills.
Precise placement of pegs and beads in designated holes refines pincer grip and hand-eye coordination.
Multi-step division process requires sustained attention and methodical work habits.
Designed for child-sized hands
Professional tips from AMI-trained guides to maximize the educational value of this material.
“Introduce one division board at a time, allowing mastery before progressing to the next divisor”
Create a division booklet where children record their discoveries with each board
Use the boards to explore division patterns, such as even/odd results with divisor 2
Connect division work to practical scenarios like sharing snacks equally among friends
Everything you need to know about this material.
This material introduces division concepts concretely through bead manipulation, not abstract long division algorithms. Children start with simple sharing activities and progress gradually. The hands-on nature makes basic division accessible to young learners when presented appropriately.
Each board represents a different divisor (1-9). Children place beads in systematic patterns using the pegs as guides, physically distributing quantities to understand division as equal sharing. The color-coding helps track the division process visually.
Children should have experience with golden bead material, understand quantity and symbols to 100, and have worked with multiplication boards. Familiarity with skip counting and basic number patterns is helpful for success with this material.
By physically manipulating beads to share quantities equally, children internalize division concepts before encountering written algorithms. This concrete experience creates a strong foundation for understanding remainders, divisibility, and eventually long division on paper.
The set includes 9 division boards (one for each divisor 1-9), color-coded beads, pegs for marking, storage containers, and presentation materials. Each board is precisely crafted to guide systematic division practice with visual and tactile learning supports.
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