Title | Exploiting Mental Imagery with Computers in Mathematics Education [electronic resource] / edited by Rosamund Sutherland, John Mason |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995 |
Connect to | http://dx.doi.org/10.1007/978-3-642-57771-0 |
Descript | VIII, 326 p. online resource |
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