Abstract

MOLINA, Oscar; LUQUE, Carolina  and  ROBAYO, Alejandro. Production of theorems in adult students: the proof of a conjecture. Rev. Fac. Cienc. Tecnol. [online]. 2014, n.35, pp.39-61. ISSN 0121-3814.

This paper is a partial result of a research project associated to a Mathematics Didactics research group at Universidad Pedagógica Nacional. It has to do with the Learning and Teaching of Geometry field. The paper shows an example of the possibility to address the proof in the school context. In this sense, it presents information on the actions of a group of three-school-adult students involved in conjecturation and proof process of proving activity -a didactical construct by the Æ • G group- in a geometry class in which Cabri -a dynamic geometry software- is used. To describe that involvement, both the proof process and the phases proposed by Boero (1999) were considered for the production of a theorem. Finally, it is said that the categories of analysis to interpret the students' activity when they face a geometric problem, are based on these phases.

Keywords : Proving activity; dynamic geometry; theorem; geometric statement.

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