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 |
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 3 | 378 |
Exercises for Section 9 4 | 387 |
Turtle Procedure Notation | 393 |
Writing Turtle Programs in Conventional Computer | 405 |
Other editions - View all
Turtle Geometry: The Computer as a Medium for Exploring Mathematics Harold Abelson,Andrea Disessa No preview available - 1986 |
Common terms and phrases
ANGLE axis basic called chapter circle closed path commands common Consider coordinates corresponding crossing cube curve defined deformation direction display distance draw edge equal equation example excess exercise face fact figure fixed flat formula FORWARD geometry give given going handle heading implement initial inputs integer keep LEFT length LEVEL look loop means measure method moving multiple Notice observe operation path pieces plane POLY position possible problem procedure projection proof region REPEAT represent result RETURN RIGHT rotation segments sequence shown in figure shows SIDE simple simulation space specified sphere spirograph square starting 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 window zero