The Visualisation and Orientation growth points describe the development of children’s geometric reasoning and visual imagery. Student experiences with understanding shape should expand beyond properties and classification to include explorations of shapes in their dynamic state.
Teaching students to reason effectively with Geometry should include the development of mathematical ideas and the ability to develop spatial skills. Such processes are the underpinning to not only aspects of Geometry but also support the development of all areas of Mathematics such as early number, measurement and data where they construct images from pictures, words and symbols (Mulligan et al. 2003).
Not apparent
Not yet able to visualise simple shapes.
Static, pictorial images formed in conjunction with models or manipulatives
Able to recognise static images in embedded situations.
Re-orientation of shapes mentally
Can visualise the effect of simple flipping, sliding and turning of shapes.
Dynamic imagery
Uses dynamic imagery to visualise manipulation of shapes by transforming and rearranging.
Extending and applying visualisation and orientation
Can combine a range of visualisation strategies in increasingly complex situations.