Early Childhood Trinomial Cube, The Montessori Academy of Arlington, Private School Arlington TX

What are the Binomial and Trinomial Cubes?

The binomial cube, when first introduced to the child, is presented as a challenging, three-dimensional puzzle. The cube is made up of a number of colored blocks, which fit together in a specific way. Assembling it uses a child’s fine-motor skills and requires the ability to discriminate between the blocks based on multiple characteristics. Unlike Montessori’s iconic pink tower, for example, the binomial cube does not isolate only one quality. Some blocks have one color, others have two. Some blocks are cubes, while others are rectangular prisms. While the pink tower blocks vary only in size, the binomial cube’s blocks vary in color, size, and shape! This makes the binomial cube a more complex sensorial material, and it requires organized thinking to master. The binomial cube’s big brother, the trinomial cube, is a child’s more complex next step.

Like other sensorial materials, the binomial and trinomial cubes are self correcting: when properly assembled, the blocks form a cube that fits perfectly inside of its wooden box! Even if the cube is built outside of its box, visual cues alert the child to any errors they might have made.

Children return to the cubes time after time, manipulating them with a focused sense of purpose. After a child has mastered building the binomial or trinomial cube inside of the box, he may then try building it outside of the box, or building each layer separately in order to observe similarities in patterns. Over time, the child’s familiarity with the cube’s physical aspects will lead to an internalized understanding of the abstract concepts the cube represents.