Research-based guidance and classroom activities for teachers of mathematics

Number spirals

The link takes you to a 'Number and Algebra' textbook on the National STEM Centre eLibrary. The intended task is on pages 37-38 and is about the intriguing and unexpected patterns that arise from spirals on number grids. These structural, not sequential patterns, and need careful explanation.

They are not predictable from number patterns alone, so they avoid a purely inductive approach to generalisation. Often these are solved by students going to and fro between number, algebra, spatial features, specific cases and generalised relations.

Go to Number and Algebra textbook on the National STEM Centre eLibrary >>