Exploiting Mental Imagery with Computers in Mathematics EducationRosamund Sutherland, John Mason 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
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 |
291 | |
309 | |
323 | |
On visual and symbolic representations | 178 |
Other editions - View all
Exploiting Mental Imagery with Computers in Mathematics Education Rosamund Sutherland,John Mason No preview available - 1995 |
Exploiting Mental Imagery with Computers in Mathematics Education Rosamund Sutherland,John Mason No preview available - 2012 |
Common terms and phrases
abstract abstract objects accretion disc actions activity algebraic algorithm analysis arithmetic arrow schemes aspects black hole Cabri Cabri geometry Cabri-géomètre circle cognitive cognitive science concepts construction counting cube Descartes diagrams didactic discussion domain drawing dynamic Edited environment example experience experimental expression external representations film function geometrical figure graph graphical heuristic hypotenuse ideas image schemata imagine important interaction interpreted inverse inverse problems involved language learners learning of mathematics manipulation mathematical discourse mathematical objects Mathematics Education meaning mental imagery mental images mental models metaphor metonymies microworld movement natural numbers notation notion operative apprehension particular perception physical plane possible problem solving properties pupils rational numbers reasoning recursive relationships represented result Right Strophoid role sense sequence situation sketch Sketchpad spatial sprite strategies structure SuperPaint symbolic teacher theorem thinking triangle understanding visual imagery visual images visualisations