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Iannone, P. and Nardi, Elena 
ORCID: https://orcid.org/0000-0002-7145-6473
(2002)
A group as a 'special set'? Implications of ignoring the role of the binary operation in the definition of a group.
In: 26th Annual Conference of the International Group for Psychology in Mathematics Education, 2002-01-01.
Abstract
This paper builds on a developing area of research in mathematics education that focuses on students' learning of abstract mathematical concepts such as Groups in Abstract Algebra. It draws on a Nuffield study of Year 2 mathematics undergraduates' written responses to Group Theory problems and its analysis indicates students' problematic perceptions of Groups. For example, students do not see a group as a pair (a set with a binary operation) but merely as a 'special set' whose elements hold certain properties as determined by the group axioms. The paper focuses on implications of such problematic perceptions: for example, seeing a group as a special set' implies that students occasionally omit checking for Associativity (especially when the group is presented in the form of a table) and neglect elements of its inner structure. This paper was peer-reviewed and presented at an international conference with a 60% contribution by Iannone.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Faculty \ School: | Faculty of Social Sciences Faculty of Social Sciences > School of Education and Lifelong Learning |
| UEA Research Groups: | Faculty of Social Sciences > Research Groups > Research in Mathematics Education |
| Depositing User: | Vishal Gautam |
| Date Deposited: | 01 Jul 2002 |
| Last Modified: | 24 Sep 2024 07:15 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/16667 |
| DOI: |
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