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ERIC Number: EJ1180558
Record Type: Journal
Publication Date: 2015-Oct
Pages: 26
Abstractor: As Provided
ISSN: ISSN-2198-9745
Effective Proof Reading Strategies for Comprehending Mathematical Proofs
Weber, Keith
International Journal of Research in Undergraduate Mathematics Education, v1 n3 p289-314 Oct 2015
In this paper, I identify five effective proof reading strategies that mathematics majors can use to comprehend proofs. This paper reports two studies. The first study is a qualitative study in which four successful mathematics majors were videotaped reading six proofs. These students used five proof reading strategies to foster comprehension: (i) trying to prove a theorem before reading its proof, (ii) identifying the proof framework being used in the proof, (iii) breaking the proof into parts or sub-proofs, (iv) illustrating difficult assertions in the proof with an example, and (v) comparing the method used in the proof with one's own approach. The qualitative analysis of these proof reading strategies illustrates how they may foster comprehension. The second study was a quantitative study in which 83 mathematics professors were surveyed about whether they desired that their students use these strategies. Most mathematicians indicated that they desired that students use them.
Springer. Available from: Springer Nature. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: DUE1245626; DRL0643734