A Study of Post-Calculus II Students' Understandings of Indirect Proofs

VJ Bedros

Document Type

Presentation Abstract

Presentation Date

3-19-2004

Abstract

Proving is an integral and indispensable part of mathematical activities. However, the ability to understand a mathematical proof involves many complex cognitive constructs-from interpreting the arguments and identifying the assumptions to recognizing the method.

I will discuss the methodology used and the objectives of some of the tools I developed in order to explore students' perceptions and understandings of certain aspects of indirect mathematical processes. Then I will elaborate on the findings in this research that showed students' lack of understanding of the deep structure of the method of contradiction, as well as many other aspects of indirect processes including finding counterexamples. what is taught in the calculus.

Additional Details

Friday, 19 March 2004
4:10 p.m. in Math 109

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