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Definitions : dealing with categories mathematically.

Alcock, L. and Simpson, A. P. (2002) 'Definitions : dealing with categories mathematically.', For the learning of mathematics., 22 (2). pp. 28-34.

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.

Item Type:Article
Keywords:Higher education, Learning problems, Mathematical concepts, Mathematical logic, Mathematics education, Modern mathematics, Thinking skills.
Full text:PDF - Published Version (415Kb)
Status:Peer-reviewed
Publisher Web site:http://flm.educ.ualberta.ca/index.php?do=show&lang=en&showMenu=22%2C2
Record Created:16 Jan 2007
Last Modified:09 Aug 2011 17:03

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