GAM Squares And Triangles

The material is a wooden tray with three square hollows. Into these the child fits three coloured squares: one left whole, one divided diagonally, and one split into four triangles. Placing each square into its matching hollow shows how a single shape can be made from smaller equal parts.

By handling a whole square beside one cut in half diagonally and one cut into four triangles, the child sees and feels that equal pieces combine into the same whole. This concrete comparison begins the gradual internalisation of the concept of fraction before it is met as written numbers.

Alongside the fraction concept, the work stimulates hand-eye coordination. Fitting the cut pieces neatly into their hollows asks for careful placement and rotation, joining fine motor control with the early mathematical idea that a whole can be divided into equal parts.

It suits a child who has developed good fine motor skills, sound visual and manual coordination, and control of the rotation of the wrist. These abilities let them turn and seat each triangular piece accurately, so the focus can stay on the fraction relationships rather than on the handling.

Dividing a square into four triangles shows that a whole can be broken into equal parts of a different shape yet still add back to the same square. Seeing halves and quarters side by side helps the child grasp that fractions are equal shares of one whole.

Wipe the tray and pieces with a dry or barely damp cloth and keep the set away from water and direct sun so the shapes stay true to their hollows. Store it flat on a shelf and return each piece to its place so none are lost.