(a + b)³ might not typically be a concept one would think could be presented to the young child, but Montessori felt differently. This mathematical thought is presented in a concrete, visual way through the Binomial Cube.
Montessori Binomial Cube Blocks
Montessori Binomial Cube Blocks
Wooden - Binomial Cube
Hinged Box with lid which opens out to display the 8 wooden cubes that are painted red , blue and black.
MONTESSORI BINOMIAL Cube -
Contents:
Objective:
A cube composed of 8 wooden blocks which fit together in a binomial
pattern, forming a concrete representation of the algebraic formula
(a+b)3.
The factors of the equation are represented by the colour coded cubes and
prisms. Younger children can explore the Binomial Cube as a sensorial
activity of visual discrimination of color and form. This can serve as an
indirect preparation for algebra and mathematics.
Size of Tray: 11.5 cm x 11.5 cm x 1 cm
Size of Cube: 9 cm x 9 cm x 9 cm
The Binomial Cube, a material from the Sensorial area of the classroom, indirectly introduces (a + b)³ to the child.
All 8 pieces of the material are neatly contained in a wooden box with the square of the binomial represented on the lid. The pieces include one red cube and three red and black matching prisms, as well as one blue cube and three blue and black matching prisms.
The direct aim of the Binomial Cube is to build the cube in the box. However, some extensions include building the cube outside of the box, or building the top and bottom layer separately. The indirect aims of the Binomial Cube include preparation for greater mathematics and understanding the cube root.