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Should Students Learn Integration Rules?

Published: 01 January 1990 Publication History

Abstract

In this note we formulate a didactic principle that can govern the use of symbolic computation software systems in math courses. The principle states that, in the treatment of each subarea of mathematics, one must distinguish between a "white-box" and a "black box" phase. In the "white box" phase, algorithms must be studied thoroughly, i.e. the underlying theory must be treated completely and algorithmic examples must be studied in all details. In the black box phase, problem instances from the area can be solved by using symbolic computation software systems. This principle can be applied recursively.

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Published In

cover image ACM SIGSAM Bulletin
ACM SIGSAM Bulletin  Volume 24, Issue 1
Jan. 1990
9 pages
ISSN:0163-5824
DOI:10.1145/382276
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 January 1990
Published in SIGSAM Volume 24, Issue 1

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  • (2024)Geometric Loci and ChatGPT: Caveat Emptor!Computation10.3390/computation1202003012:2(30)Online publication date: 7-Feb-2024
  • (2024)Professional development for teaching mathematics with technology: a comparative study of facilitators’ beliefs and practices in China and GermanyEducational Studies in Mathematics10.1007/s10649-023-10284-3115:2(247-269)Online publication date: 15-Jan-2024
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