Publication details for Mr Adrian SimpsonAlcock, L. & Simpson, A.P. (2002). Definitions: Dealing with Categories Mathematically. For the Learning of Mathematics 22(2): 28-34.
- Publication type: Journal papers: academic
- ISSN/ISBN: 0228-0671
- Keywords: Higher education, Learning problems, Mathematical concepts, Mathematical logic, Mathematics education, Modern mathematics, Thinking skills.
- View online: Online version
- Durham research online: DRO record
Author(s) from Durham
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.