Abstract: A mathematical teaching aid or game comprising a background grid having components and subcomponents each positioned within individual cells of the grid so that many mathematical arrangements and concepts can be displayed. Each component has a face color from a set of colors and contains on its face the outline of a geometric shape from a set of geometric shapes. Each component represents a unique pairing of color and shape outline. Each subcomponent has a shape congruent to the shape outline from the set of shapes and matches exactly one component with respect to color and shape outline. The components are mounted upon the grid cells and the subcomponents can be mounted upon either a grid cell or upon a corresponding shape outline.