Turtle Geometry: The Computer as a Medium for Exploring Mathematics

Cover
MIT Press, 1986 - 477 Seiten
1 Rezension

Turtle Geometry presents an innovative program of mathematical discovery thatdemonstrates how the effective use of personal computers can profoundly change the nature of astudent's contact with mathematics. Using this book and a few simple computer programs, students canexplore the properties of space by following an imaginary turtle across the screen.The concept ofturtle 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 universityundergraduates. Harold Abelson is an associate professor in the Department of Electrical Engineeringand Computer Science at MIT. Andrea diSessa is an associate professor in the Graduate School ofEducation, University of California, Berkeley.

 

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LibraryThing Review

Nutzerbericht  - nillacat - LibraryThing

A 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 ... Vollständige Rezension lesen

Inhalt

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
Exploring the Cube
241
A Second Look at the Sphere
279
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

Exercises for Section 4 2
179
Exercises for Section 4 3
188
Exercises for Section 4 4
198
Exercises for Section 5 3
235
Hints for Selected Exercises
423
Answers to Selected Exercises
439
Index
471
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Über den Autor (1986)

Robert J. Barro is Robert C. Waggoner Professor of Economics at Harvard University and a senior fellow of the Hoover Institution at Stanford University.About Robert Barro: "He has changed the way economists think about everything from the long-run effects of government deficits to the forces that favor economic growth."--Sylvia Nasar, New York Times

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