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ERIC Number: EJ828506
Record Type: Journal
Publication Date: 2007-Jul
Pages: 17
Abstractor: As Provided
Reference Count: 3
ISSN: ISSN-1051-1970
Clearing the Fog from the Undergraduate Course in Linear Algebra
Scott, Damon
PRIMUS, v17 n3 p239-255 Jul 2007
For over a decade it has been a common observation that a "fog" passes over the course in linear algebra once abstract vector spaces are presented. See [2, 3]. We show how this fog may be cleared by having the students translate "abstract" vector-space problems to isomorphic "concrete" settings, solve the "concrete" problem either by hand or with the use of matrix-crunching software, and then back-translate these concrete solutions to the "abstract" setting for final answer. The method is totally general and not limited to special cases. When the course is taught in this new way, students are able to solve "abstract" vector-space problems clearly, easily, and "foglessly."
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A