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4 février 2015
- handle: 10670/1.qwkdi1
- hal: hal-01280523
info:eu-repo/semantics/OpenAccess
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Proof interaction construction knowledgeSujets proches
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Angelina Alvarado Monroy et al., « Proof by reductio ad absurdum: An experience with university students », HAL-SHS : sciences de l'éducation, ID : 10670/1.qwkdi1
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One technique that future mathematicians should dominate is proof by reductio ad absurdum. This paper presents part of a research study in which college students performed a task in which they needed to apply the knowledge gained using this technique. Small group discussions and a discussion led by the teacher were the methodology used in the classroom to solve the task. Both types of interactions were analyzed using the RBC-C model (Schwarz, Dreyfus, & Hershkowitz, 2009) to document how the construction process took place. It was found through consolidation of epistemic actions that although the students had to deal with difficulties associated with the proof, they were able to use the newly acquired knowledge.