PUMA
Istituto per le Tecnologie Didattiche     
Pedemonte B. Structural relationships between argumentation and proof in solving open problems in algebra. In: CERME 5 - Fifth Congress of European Society for Research in Mathematics Education (Larnaca, Cyprus, 22 - 26 February 2007). Proceedings, pp. 1 - 11. CERME, 2007.
 
 
Abstract
(English)
This paper concerns a work-in-progress study analysing cognitive continuities and/or distances between argumentation supporting a conjecture and its proof in solving open problems in algebra. There is usually a cognitive distance between these argumentations and algebraic proofs, not only in the structure (algebraic proofs are often characterised by a strong deductive structure) but also in the "content". The aim of this paper is to show this cognitive distance and the role of abductive argumentation to decrease this distance. Toulmin's model is used as a tool to analyse and compare the structures of argumentation and proof.
Subject Problems in algebra
Cognitive distance


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