ABSTRACT
This chapter shows how the ideas of visualisation, categorisation and position underpin geometry. To be able to understand geometrical ideas one need to be able to see and manipulate shapes in their 'mind's eye'. The chapter begins with an example of a visualisation activity one can try with their pupils. Penny Coltman, Dinara Petyaeva and Julia Anghileri have explored how best adults can support young children using 'building blocks' to carry out problem-solving activities which help them come to an understanding of three-dimensional (3D) shape. This research emphasises the importance of exploring properties of shapes by manipulating the shapes themselves. The chapter emphasise the importance of the development of the vocabulary to allow children to be able to talk about what they are noticing at the visualisation stage. It outlines the development of children's understanding about shape as they move between foundation stage and the end of their time in primary education.
