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Exploiting Mental Imagery with Computers in Mathematics Education

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. Rosamund Sutherland

    1. Department of Mathematics, Statistics and Computing Institute of Education, University of London, London, UK

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  2. John Mason

    1. Mathematics Faculty, The Open University, Milton Keynes, UK

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO ASI Subseries F: (NATO ASI F, volume 138)

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Table of contents (21 papers)

  1. Front Matter

    Pages I-VIII
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  2. Emphasising the External

    1. Front Matter

      Pages 1-2
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    2. Imagery for Diagrams

      • Tommy Dreyfus
      Pages 3-19

    3. External Representations in Arithmetic Problem Solving

      • Giuliana Dettori, Enrica Lemut
      Pages 20-33

    4. Visualization in Mathematics and Graphical Mediators: An Experience with 11-12 Year Old Pupils

      • Angela Pesci
      Pages 34-51

    5. Visual Organisers for Formal Mathematics

      • David Tall
      Pages 52-70

    6. Mediating Mathematical Action

      • Rosamund Sutherland
      Pages 71-81

    7. Mathematical Objects, Representations, and Imagery

      • Willibald Dörfler
      Pages 82-94

  3. Imagery in Support of Geometry

    1. Front Matter

      Pages 95-96
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    2. Images and Concepts in Geometrical Reasoning

      • M. Alessandra Mariotti
      Pages 97-116

    3. Between Drawing and Figure

      • Reinhard Hölzl
      Pages 117-124

    4. The Functions of Visualisation in Learning Geometry

      • Eric Love
      Pages 125-141

    5. Geometrical Pictures: Kinds of Representation and Specific Processings

      • Raymond Duval
      Pages 142-157

  4. Links Between Screen and Mental Imagery

    1. Front Matter

      Pages 159-160
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    2. Overcoming Physicality and the Eternal Present: Cybernetic Manipulatives

      • James J. Kaput
      Pages 161-177

    3. On Visual and Symbolic Representations

      • L. E. Moreno Armella, Ana Isabel Sacristán
      Pages 178-189

    4. The Dark Side of the Moon

      • Richard Noss, Celia Hoyles
      Pages 190-201

    5. Ruminations About Dynamic Imagery (and a Strong Plea for Research)

      • E. Paul Goldenberg
      Pages 202-224

    6. On Designing Screen Images to Generate Mental Images

      • Richard J. Phillips, John Gillespie, Daniel Pead
      Pages 225-232

    7. Learning as Embodied Action

      • Stephen Campbell, A. J. Dawson
      Pages 233-249
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Statistics and Computing Institute of Education, University of London, London, UK

    Rosamund Sutherland

  • Mathematics Faculty, The Open University, Milton Keynes, UK

    John Mason

Bibliographic Information

  • Book Title: Exploiting Mental Imagery with Computers in Mathematics Education

  • Editors: Rosamund Sutherland, John Mason

  • Series Title: NATO ASI Subseries F:

  • DOI: https://doi.org/10.1007/978-3-642-57771-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1995

  • Hardcover ISBN: 978-3-540-58582-4Published: 20 June 1995

  • Softcover ISBN: 978-3-642-63350-8Published: 25 October 2012

  • eBook ISBN: 978-3-642-57771-0Published: 06 December 2012

  • Series ISSN: 0258-1248

  • Edition Number: 1

  • Number of Pages: VIII, 326

  • Topics: Mathematical Software, Learning & Instruction, Artificial Intelligence, Algorithms

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