Combining Geometrical Transformations: A Meta-mathematical Narrative

Abstract

A fictional narrative format between a teacher and a mathematics educa- tor is used to introduce pedagogical considerations around the theme of combining geometrical transformations. Questions about scalings from different centres, scal- ing from and rotating about different centres, and rotations about different centres are brought up and used to illustrate ways of working with students. The mathemati- cal results are applied to other geometrical situations.