The List Of Factors Tables is a Furniture & Storage Montessori material designed for children aged 6-12, crafted by Nienhuis Montessori to AMI standards.
Essential mathematical reference sheets presenting factor tables in a clear grid format for elementary mathematics work. These printed reference cards support children in exploring multiplication relationships and number patterns independently, serving as a key resource for mathematical abstraction and memorization work in the 6-12 classroom.
“The child is both a hope and a promise for mankind.”— Maria MontessoriEducation and Peace
“The hands are the instruments of man's intelligence.”
— Maria Montessori, The Absorbent Mind
The List of Factors Tables serves as a visual bridge between concrete mathematical materials and abstract number relationships in the elementary classroom. These reference sheets honor the child's growing capacity for abstraction by presenting factor relationships in an organized, accessible format that children can consult independently. Each grid on these printed cards reveals the mathematical beauty of how numbers decompose into their factors, allowing children to discover patterns and relationships at their own pace. The tables respect the elementary child's need for intellectual independence by providing a tool they can use without adult intervention when exploring multiplication, division, and prime factorization. Unlike manipulative materials that the child has outgrown, these factor tables meet the 6-12 year old's hunger for knowledge and their developing ability to work with abstract concepts. The clear grid format of each table enables children to make connections between different numbers and their factors, fostering the mathematical reasoning essential for advanced work in multiples, least common multiples, and greatest common factors.
Each order includes everything needed for proper presentation and long-term use.
Follow the Montessori method of presentation for optimal child development.
Introduce the tables by showing how to read the grid format, demonstrating with a familiar number like 12
Invite the child to explore patterns, such as which numbers appear most frequently across all tables
Show how to use the tables to find all factors of a given number by locating it throughout the grids
Demonstrate finding common factors by comparing the factor lists of two different numbers
Challenge children to identify prime numbers by finding those that appear in only two tables
Each material supports multiple areas of child development simultaneously.
Supports transition from concrete materials to abstract number relationships through systematic table study.
Grid format reveals multiplication patterns and factor relationships for deeper mathematical understanding.
Enables self-directed verification and exploration of multiplication facts during mathematical work.
Regular use supports memorization of essential multiplication facts through visual reference.
Designed for child-sized hands
Professional tips from AMI-trained guides to maximize the educational value of this material.
“Place tables near other mathematics materials to encourage integrated use during problem-solving”
Laminate or protect the cards to withstand frequent handling while maintaining clarity
Introduce tables after children have worked extensively with multiplication materials like the checkerboard
Create extension cards with numbers beyond 100 for children ready for greater challenges
Everything you need to know about this material.
This material is specifically designed for elementary students ages 6-12, aligning with the Montessori elementary curriculum for mathematical abstraction and memorization work.
The clear grid format allows children to independently explore multiplication relationships and number patterns without adult assistance, fostering self-directed discovery and verification of their work.
These reference sheets help children explore factors, multiples, prime numbers, composite numbers, and the relationships between multiplication and division through visual patterns.
Yes, these printed reference cards are designed as classroom furniture-grade materials, built to withstand regular handling by multiple students throughout the school year.
They serve as a bridge between concrete manipulatives and abstract mathematical thinking, supporting work with multiplication boards, bead chains, and other elementary mathematics materials.
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