Definitions: Dealing with Categories Mathematically

Alcock, L.; Simpson, A.P.

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.
• Public URL: https://durham-repository.worktribe.com/output/1564400
• Publisher URL: http://flm.educ.ualberta.ca/index.php?do=show&lang=en&showMenu=22%2C2