Exploiting Mental Imagery with Computers in Mathematics Education (Hardcover) (ISBN-13: 9783540585824)

1. Emphasizing the External.- Imagery for diagrams.- External representations in arithmetic problem solving.- Visualisation in mathematics and graphical mediators: an experience with 11-12 year old pupils.- Visual organisers for formal mathematics.- Mediating mathematical action.- Mathematical objects, representations, and imagery.- 2. Imagery in Support of Geometry.- Images and concepts in geometrical reasoning.- Between drawing and figure.- The functions of visualisation in learning geometry.- Geometrical pictures: kinds of representation and specific processings.- 3. Linking Screen and Mental Imagery.- Overcoming physicality and the external present: cybernetic manipulatives.- On visual and symbolic representations.- The dark side of the Moon.- Ruminations about dynamic imagery (and a strong plea for research).- On designing screen images to generate mental images.- Learning as embodied action.- 4. Employing Imagery.- The importance of mental perception when creating research pictures.- Random images on mental images.- Imagery as a tool to assist the teaching of algebra.- Mathematical screen metaphors.- Exploiting mental imaging: reflections of an artist on a mathematical excursion.

Author: Rosamund Sutherland
ISBN-10: 3540585826
ISBN-13: 9783540585824
Publisher: Springer
Language: English
Published: 07/18/1995
Pages: 344
Format: Hardcover
Weight: 1.45lbs
Size: 9.21h x 6.14w x 0.81d