Algebraic Binomial CubeAdvanced Mathematical Sensorial Material
The first photo is the maker's own. The other shots are illustrative.
Inv. no. NIE-027200
- Maker
- Nienhuis Montessori, since 1929
- Approval
- AMI
- Material
- Birch plywood, beech and metal
- Colours
- Yellow and red
- EAN
- 8719924012229
Final price incl. VAT. Delivery €5.90, €10.10 to go for free delivery.
Advice, warranty and returns are handled by us.
Why it costs €138.90
Behind the price of the original are things you can check yourself.
AMI approval
The material is approved by the Association Montessori Internationale (AMI). Nienhuis has made Montessori materials since 1929.
A verifiable original
The EAN 8719924012229 is on the box. It is the maker's number, not ours.
Algebraic Binomial Cube in a child's hands
The cube of a binomial in solid form, built so that the pieces can only go back one way. Working it is patterning long before it is algebra, but the arrangement is the real thing: the child who has handled this has held the expansion of (a + b) cubed. It is also the foundation for the higher powers of the same binomial, so the same reasoning carries forward to the fourth and fifth. Hinged wooden box with lid. Birch plywood, beech and metal, for ages 6 to 12.
Mathematical Abstraction
Transitions from concrete sensorial work to abstract algebraic thinking through visual and tactile representation of (a+b)³.
Spatial Intelligence
Develops three-dimensional reasoning and understanding of how parts relate to the whole through systematic cube construction.
Pattern Recognition
Strengthens ability to identify mathematical patterns and relationships through color-coded geometric forms.
Preparation for Algebra
Provides sensorial foundation for later understanding of binomial expansion and algebraic formulas.
How to present it
Place the Algebraic Binomial Cube on a table mat. Have paper and colored pencils matching the cube colors (yellow and red) available. Ensure the child has mastered the sensorial binomial cube from primary.
- 1Begin by building the cube layer by layer, naming each piece algebraically: 'This cube is a³, these prisms are 3a²b'
- 2As you place each piece, write its algebraic notation on paper using matching colors
- 3Once assembled, count all pieces and write the complete expansion: a³ + 3a²b + 3ab² + b³
- 4Disassemble systematically while verbally stating each term being removed
- 5Challenge the child to build the cube while writing the formula simultaneously
3 tips for parents
- If your child has this at home, focus on the building process rather than rushing to the formula
- Ask your child to teach you how to build it - teaching others deepens their understanding
- Connect to real-world cubes and volumes to make the math meaningful
If you are not sure it suits your child, we answer in person.
Norbert Kovalčín, founder of Faborino · write to him
There is no review here yet. We will ask you for one after you buy. Write the first review
What's in the Box
- Algebraic Binomial Cube: Basis for the sensorial construction of (a + b)⁴ and (a + b)⁵
- Wooden box: Hinged, with lid
Size and material
| Packaging | 10 × 10 × 9 cm |
| Material | Birch plywood, beech and metal |
| Colours | Yellow and red |
| Recommended Age | 6-12 years |
Care
Wipe with slightly damp cloth, dry immediately
Frequently Asked Questions
What mathematical concepts does the Algebraic Binomial Cube teach?
The Algebraic Binomial Cube provides a concrete representation of the formula (a+b)³, helping children understand algebraic expansion, cubic relationships, and spatial reasoning. It visually demonstrates how (a+b)³ = a³ + 3a²b + 3ab² + b³ through color-coded blocks that represent each term.
How does this differ from the regular Binomial Cube for younger children?
While the younger child's Binomial Cube focuses on sensorial exploration and pattern recognition, the Algebraic Binomial Cube explicitly connects to mathematical formulas. It helps children ages 6-12 transition from concrete manipulation to abstract algebraic thinking.
What is this cube made of and how is it stored?
The (a + b)³ cube is stored in a hinged wooden box with a lid. The material is birch plywood, beech and metal, and the colours are yellow and red.
What prerequisites should a child have before using this material?
Children should have experience with the Sensorial Binomial Cube and basic understanding of multiplication and exponents. Familiarity with square and cube concepts from other Montessori mathematics materials like the bead chains and squares is beneficial for deeper comprehension.
How do children progress from concrete to abstract learning with this material?
Children begin by assembling the cube using visual and tactile cues, then progress to understanding the colour coding represents algebraic terms. Eventually they write out the expansion of (a+b)³ and can expand other binomial expressions like (x+y)³ using the same principles.
Product safety
Manufacturer: Nienhuis Montessori, Anders Celsiusstraat 15, 7442 PB Nijverdal, Netherlands
Algebraic Binomial Cube