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ERIC Number: EJ1114220
Record Type: Journal
Publication Date: 2016-Oct
Pages: 17
Abstractor: As Provided
ISSN: ISSN-1863-9690
The Concept of Proof in the Light of Mathematical Work
Richard, Philippe R.; Oller Marcén, Antonio Miguel; Meavilla Seguí, Vicente
ZDM: The International Journal on Mathematics Education, v48 n6 p843-859 Oct 2016
Our article aims to show how illuminating mathematical work as a concept from didactics of mathematics is useful in understanding issues relating to proving and learning of proof, with or without technology. After posing our hypotheses on the relationship of proof with mathematical work, the pedagogical intent of historical elements of geometry and the use of modern technical tools, we present reference contexts and situations around the property of the tangent. These contexts and situations allow for a comparison of the validation modes, the type of epistemic necessity at stake and certain underlying discourse peculiarities. We introduce the idea of a "valence of mathematical work" and we interpret in an a priori approach the main interactions that could maintain a model user-reader in a mathematical working space. We pay special attention to an extract of "Elémens de Géométrie" by Alexis Claude Clairaut, with one of the reference contexts revisiting his problem with the assistance of dynamic geometry software.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A