The Development of Students' Understanding of Permutations and Symmetries

Reports on a study of the nature of abstract algebra students' understanding of permutations and symmetries. Examines the epistemology of permutations in a finite set of symmetries of a regular polygon. Concludes that the initial genetic decompositions of both concepts are relatively consistent...

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Bibliographic Details
Published in:International journal of computers for mathematical learning 1998, Vol.3 (1), p.13-43
Main Authors: Asiala, Mark, Brown, Anne, Kleiman, Jennifer, Mathews, David
Format: Article
Language:English
Subjects:
Algebra
Epistemology
Mathematics Education
Secondary Education
Symmetry
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Summary:Reports on a study of the nature of abstract algebra students' understanding of permutations and symmetries. Examines the epistemology of permutations in a finite set of symmetries of a regular polygon. Concludes that the initial genetic decompositions of both concepts are relatively consistent with the data, although a few refinements of these models are needed. Contains 26 references. (Author/ASK)
ISSN:1382-3892
2211-1662
2211-1670
DOI:10.1023/A:1009738109343