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ERIC Number: EJ1156032
Record Type: Journal
Publication Date: 2017-Oct
Pages: 19
Abstractor: As Provided
ISSN: ISSN-0013-1954
Affecting the Flow of a Proof by Creating Presence--A Case Study in Number Theory
Gabel, Mika; Dreyfus, Tommy
Educational Studies in Mathematics, v96 n2 p187-205 Oct 2017
The notion of flow of a proof encapsulates mathematical, didactical, and contextual aspects of proof presentation. A proof may have different flows, depending on the lecturer's choices regarding its presentation. Adopting Perelman's New Rhetoric (PNR) as a theoretical framework, we designed methods to assess aspects of the flow of a proof. We present a case study from a Number Theory class at the beginning undergraduate level, focusing on an intervention concerning one lesson given in two consecutive years. The intervention consisted of a discussion with the lecturer about findings from Year-1 and potential changes in the flow of the proof before the Year-2 lesson. We analyze two aspects of the flow of the proof: the scope and organization of the argumentation and the presence (in the PNR sense) of different elements. Our analysis revealed that the intervention caused global and local changes in the flow and that PNR enables us to capture these changes.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A