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Definitions: Dealing with Categories Mathematically

Alcock, L.; Simpson, A.P.

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Authors

L. Alcock



Abstract

Explores differences between mathematical definitions and non-mathematical definitions by contrasting three approaches to mathematical reasoning. Examines the consequences of the use of those approaches in a first course in real analysis. Analyzes students' reasoning behavior during analysis and suggests reasons for students' difficulties with the transition to university mathematics in general, and with analysis in particular.

Citation

Alcock, L., & Simpson, A. (2002). Definitions: Dealing with Categories Mathematically. For the learning of mathematics, 22(2), 28-34

Journal Article Type Article
Publication Date 2002-07
Deposit Date Jan 16, 2007
Publicly Available Date May 5, 2010
Journal For the learning of mathematics : an international journal of mathematics education.
Print ISSN 0228-0671
Publisher FLM
Peer Reviewed Peer Reviewed
Volume 22
Issue 2
Pages 28-34
Keywords Higher education, Learning problems, Mathematical concepts, Mathematical logic, Mathematics education, Modern mathematics, Thinking skills.
Publisher URL http://flm.educ.ualberta.ca/index.php?do=show&lang=en&showMenu=22%2C2

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