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The Montessori Binomial Cube is part of the sensorial curriculum area. To the young child, the binomial cube is an entertaining three-dimensional puzzle, but more fundamentally, it is a concrete representation of the cube of a simple binomial equation: (a+b)3. The material is comprised of 8 wooden blocks which, when put together correctly, create a cube. The cube itself physically represents a mathematical equation, which is (a + b)³ = (a + b) (a + b) (a + b) = a³ + 3a²b + 3ab² + b³.
The Binomial Cube is introduced first and then later the Trinomial Cube. The blocks are colour coded and are different sizes to represent the algebraic Binomial and Trinomial formulas. The purpose is not to teach maths but to challenge the child to find patterns and spatial relationships.
The direct purpose of the binomial and trinomial cubes is for the child to practice the steps to properly disassemble and build the cube, while refining dexterity and visual acuity. Indirectly, the binomial cube prepares the child for higher-level math through concrete and visual exposure to the algebraic concept of a binomial cube.
It is presented like a three-dimensional puzzle. The blocks are colour coded and are different sizes. The 8 wooden blocks include one red cube, three red and black matching prisms, one blue cube and three blue and black matching prisms.
Through demonstration, the child is shown to systematically deconstruct then reconstruct the cube. The child uses their senses of touch and sight, using size and colour to build the cube. The child also uses their developing visual perception, concentration and problem-solving skills.
There is a control image painted onto the lid of the box. The cube also has a control of error. The child is shown to feel the cube is perfectly square to ensure it has been completed accurately.
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