## 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. |

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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 |

### 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 arithmetic arrow schemes aspects black hole Cabri Cabri-geometre circle cognitive cognitive science complex concepts construction continuous function counting cube Descartes diagrams didactic domain drawing dynamic Edited environment example experience experimental expression external representations film formal function geometrical figure graph graphical heuristic hypotenuse ideas image schemata imagine important interaction interpretation inverse inverse problems involved language learners manipulation mathematical discourse mathematical objects mathematics education meaning mental imagery mental images mental models metaphor metonymies movement NATO natural numbers notation notion operative apprehension particular perception physical possible problem solving properties pupils rational numbers reasoning recursive relationship represented result Right Strophoid role screen images sense sequence situation sketch Sketchpad spatial sprite strategies structure SuperPaint symbolic teacher Technology theorem thinking triangle understanding visual imagery visual images visualisations