## Turtle Geometry: The Computer as a Medium for Exploring MathematicsTurtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates. |

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#### LibraryThing Review

User Review - nillacat - LibraryThingA lovely book on how to think geometrically and algorithmically, using a simple programming language to produce pictures and prove theorems, starting from Eucliedean Geometry and ending with the ... Read full review

### Contents

Introduction to Turtle Geometry | 3 |

Exercises for Section 1 2 | 30 |

Exercises for Section 1 4 | 50 |

Exercises for Section 2 3 | 85 |

Exercises for Section 2 4 | 99 |

Vector Methods in Turtle Geometry | 105 |

Exercises for Section 3 2 | 135 |

Topology of Turtle Paths | 161 |

A Second Look at the Sphere | 288 |

Exercises for Chapter 7 | 301 |

Exercises for Section 8 2 | 330 |

Exercises for Section 8 3 | 338 |

Exercises for Section 9 2 | 370 |

Exercises for Section 9 4 | 387 |

Writing Turtle Programs in Conventional Computer | 405 |

Hints for Selected Exercises | 423 |

### Other editions - View all

Turtle Geometry: The Computer as a Medium for Exploring Mathematics Harold Abelson,Andrea Disessa No preview available - 1986 |

Turtle Geometry: The Computer as a Medium for Exploring Mathematics Harold Abelson,Andrea Disessa No preview available - 1986 |

### Common terms and phrases

ANGLE atlas axis basic called chapter circle closed commands component Consider coordinates corresponding crossing cube curve defined deformation demon direction display distance draw edge equal equation example excess exercise face fact figure flat formula FORWARD geometry given gives handle heading implement initial inputs integer language LEFT length LEVEL light look loop means measure method moving multiple observe operation path pieces piecewise plane POLY position possible problem procedure projection proof region REPEAT represent result RETURN RIGHT rotation screen shown shows side simple simulation slot space spacetime spatial specified speed sphere spirograph square starts step straight subsection Suppose surface symmetry theorem things three-dimensional topological torus total curvature total turning triangle turtle turtle's vector vertex vertices walk wedge zero