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 curving space-time of Einstein's theory of General Relativity.

Sounds like a tall order! But the reader is led to develop the mathematics herself, by working through examples, learning to develop and prove theorems and write programs to explore examples. The language is LOGO, which was designed for teaching elementary school children to program. The semantics of LOGO are quite advanced: but the syntax is straightforward and, as with the mathematics, the reader is led more-or-less gently along the path of acquiring the sophisticated ideas.

A wonderful book.

(See also The Shape of Space, Visual Modeling with Logo and Exploring Language with Logo) (

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nillacat | Sep 5, 2006 |

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Logo (programming language)

Turtle Geometry

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Amazon.com Product Description (ISBN 0262510375, Paperback)

Turtle 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. Harold Abelson is an associate professor in the Department of Electrical Engineering and Computer Science at MIT. Andrea diSessa is an associate professor in the Graduate School of Education, University of California, Berkeley.

(retirado da Amazon Fri, 24 Apr 2009 07:58:05 -0400)

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