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ERIC Number: EJ930121
Record Type: Journal
Publication Date: 2010
Pages: 22
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-1947-7503
Undergraduates' Example Use in Proof Construction: Purposes and Effectiveness
Alcock, Lara; Weber, Keith
Investigations in Mathematics Learning, v3 n1 p1-22 Fall 2010
In this paper, we present data from an exploratory study that aimed to investigate the ways in which, and the extent to which, undergraduates enrolled in a transition-to-proof course considered examples in their attempted proof constructions. We illustrate how some undergraduates can and do use examples for specific purposes while successfully constructing proofs, and that these purposes are consistent with those described by mathematicians. We then examine other cases in which students used example ineffectively. We note that in these cases, the purposes for which the students attempted to use examples are again appropriate, but the implementation of their strategies is inadequate in one of two specific ways. On this basis we identify points that should be borne in mind by a university teacher who wishes to teach students to use examples effectively in proof-based mathematics courses.
Research Council on Mathematics Learning. Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A