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Visualizations for Mathematics Courses Based on a Computer Algebra System

✍ Scribed by BEATRICE AMRHEIN; OLIVER GLOOR; ROMAN E. MAEDER

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
502 KB
Volume
23
Category
Article
ISSN
0747-7171

No coin nor oath required. For personal study only.

✦ Synopsis

This paper discusses the introduction of a computer-algebra system to perform visualizations in mathematics education.

With the Illustrated Mathematics project, we provide a comprehensive collection of graphics and animations for various topics in mathematics, which can directly be used for teaching. Because the programs (written in Mathematica) we used for the creation of this collection are included, it is easy to design new examples by modifying parameters in existing examples. Therefore, Illustrated Mathematics can be used as a first step of the introduction of a computer-algebra system in mathematics education.

In the second part, we report on the development of a workbench and learning environment, with which the students can discover the mathematical concepts by themselves. For that, the given examples have to be didactically enriched and processed. By creating their own visualizations of increasing complexity, the students improve their knowledge about the underlying computer-algebra system.

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