This is what the children see when working with the binomial cube:
This is what the teacher has in mind, when presenting the binomial cube:
The Binomial Cube introduces abstract maths concept to primary age children without them even knowing it! Such early sensorial experience with the cube inspires them again in elementary when they learn about cubing for algebra. Children in our class are not expected to understand or even be exposed to the algebraic formula that the cube expresses, but are rather just “absorbing” the concepts and building an enjoyment of expressing and discovering mathematical concepts.
We focus on the patterns and orders of the blocks, and making connections as to the relationships between the different cubes: dimension, color, and shape. It is a puzzle, with a complex mathematical concepts behind it.