All too often, geometry is reduced to memorizing definitions or properties of geometric shapes and solids.
We want students to have a wide variety of experiences in 2 and 3 dimensions in order to develop their spatial awareness and the ability to visualize. Visualization “involves thinking in pictures and images and the ability to perceive, transform and recreate different aspects of the visual-spatial world.” (Thomas Armstrong).
The theme of visualization has an impact on many areas of mathematics. In geometry, we want the students to ‘hold’ an image in their mind, and transform and manipulate it mentally. This ability can be developed through the use of concrete materials, technology and a variety of visual representations. They must first be able to manipulate real world objects and identify and change properties – representations in a text seldom help.