Razonamiento configural y argumentación en procesos de prueba en contexto geométrico
- José M. Muñoz-Escolano (coord.)
- Alberto Arnal-Bailera (coord.)
- Pablo Beltrán-Pellicer (coord.)
- M. Luz Callejo (coord.)
- José Carrillo (coord.)
Publisher: Sociedad Española de Investigación en Educación Matemática, SEIEM
ISBN: 978-84-16723-42-3
Year of publication: 2017
Pages: 467-476
Congress: Sociedad Española de Investigación en Educación Matemática. Simposio (21. 2017. Zaragoza)
Type: Conference paper
Abstract
The aim of this study is to analyze the status change of the propositions that make up the argumentation in solving proof problems into geometry context (Duval, 2016b), and its role played in the resolution process. We analyze the answers of students of compulsory secondary education to four proof problems which presented a geometrical configuration that deduced a thesis to be demonstrated. The results obtained reveal two characteristics of the proving process: (1) the realization of a change into the status of the propositions involved in the problems resolution, and (2) an argumentation that should be developed from the accumulation mode to the substitution one (Duval, 1999a). However, these characteristics of the resolution process do not guarantee the configural reasoning “truncation” which generates the formal proof and might be explained by the role played by the relevant subconfiguration identified.