165833 20260115140311.0 doi 10.1007/s11858-016-0805-9 sideral 95789 ART-2016-95789 eng Richard, Philippe, R. The concept of proof in the light of mathematical work 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. info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.722 2016 Education 2016 Q1 Mathematics (miscellaneous) 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Oller Marcen, Antonio Miguel (orcid)0000-0002-8191-3199 Meavilla, Vicente (orcid)0000-0001-9326-5531 48, 6 (2016), 843-859 ZDM (Berl.) ZDM (Berlin) 1863-9690 3044692 http://zaguan.unizar.es/record/165833/files/texto_completo.pdf Versión publicada 2131478 http://zaguan.unizar.es/record/165833/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:165833 articulos driver 2026-01-15-12:36:18 ARTICLE