Exploiting Mental Imagery with Computers in Mathematics Education

Front Cover
Rosamund Sutherland, John Mason
Springer Science & Business Media, Dec 6, 2012 - Computers - 326 pages
The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.
 

Contents

Emphasizing the External
1
External representations in arithmetic problem solving
20
Visual organisers for formal mathematics
52
Mediating mathematical action
71
Imagery in Support of Geometry
95
Between drawing and figure
117
kinds of representation and specific processings
142
Linking Screen and Mental Imagery 159
161
Ruminations about dynamic imagery and a strong plea for research
202
On designing screen images to generate mental images
225
Employing Imagery
250
Imagery as a tool to assist the teaching of algebra
277
Mathematical screen metaphors
291
reflections of an artist on a mathematical
309
Index
323
Copyright

On visual and symbolic representations
178

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