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ERIC Number: ED501121
Record Type: Non-Journal
Publication Date: 2003-Jul
Pages: 8
Abstractor: Author
Reference Count: 5
ISBN: N/A
ISSN: N/A
Students' Understanding of Z[subscript N]
Siebert, Daniel; Williams, Steven R.
International Group for the Psychology of Mathematics Education, Paper presented at the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, HI, Jul 13-18, 2003), v4 p167-173
In this study, we explore six students' conceptions of Z[subscript n] in an effort to understand students' conceptions of quotient groups in general. We discovered that there were three different ways our students thought about Z[subscript n], namely as infinite sets, element-set combinations, and representative elements. We explore how Z[subscript n] might be conceived of in terms of these three cognitively different interpretations, as well as our students' difficulties in working with Z[subscript n] using each of these interpretations. We conclude that Z[subscript n] is not a trivial example of a quotient group, and provide recommendations for teaching Z[subscript n] and other quotient groups. (Contains 1 figure and 1 table.) [For complete proceedings, see ED500860.]
International Group for the Psychology of Mathematics Education. 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Tel: +27-21-715-3559; Fax: +27-88-021-715-3559; e-mail: info@igpme.org; Web site: http://igpme.org
Publication Type: Reports - Evaluative; Speeches/Meeting Papers
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A