Exploiting Mental Imagery with Computers in Mathematics Education

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Rosamund Sutherland, John Mason
Springer Science & Business Media, 1995 - Computer graphics - 326 pages
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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.
 

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Contents

Imagery for diagrams
3
External representations in arithmetic problem solving
20
an experience with 1112 year old pupils
34
Visual organisers for formal mathematics
52
Mediating mathematical action
71
Mathematical objects representations and imagery
82
Imagery in Support of Geometry
95
Images and concepts in geometrical reasoning
97
On visual and symbolic representations
178
The dark side of the Moon
190
Ruminations about dynamic imagery and a strong plea for research
202
On designing screen images to generate mental images
225
Learning as embodied action
233
Employing Imagery
251
The importance of mental perception when creating research pictures
252
Random images on mental images
263

Between drawing and figure
117
The functions of visualisation in learning geometry
125
kinds of representation and specific processings
142
Linking Screen and Mental Imagery
159
cybernetic manipulatives
161
Imagery as a tool to assist the teaching of algebra
277
Mathematical screen metaphors
291
reflections of an artist on a mathematical excursion
309
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About the author (1995)

John Mason is Professor of Mathematics Education at the Centre for Mathematics Education at the Open University.

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