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Title: Norms That Regulate the Theorem Construction Process in an Inquiry Classroom of 3D Geometry: Teacher's Management to Promote Them
Author: Molina, Oscar
Font Moll, Vicenç
Pino-Fan, Luis
Keywords: Didàctica de la matemàtica
Visualització tridimensional
Mathematics teaching methods
Three-dimensional display systems
Issue Date: 17-Sep-2021
Publisher: MDPI
Abstract: This paper aims to illustrate how a teacher instilled norms that regulate the theorem construction process in a three-dimensional geometry course. The course was part of a preservice mathematics teacher program, and it was characterized by promoting inquiry and argumentation. We analyze class excerpts in which students address tasks that require formulating conjectures, that emerge as a solution to a problem and proving such conjectures, and the teacher leads whole-class activities where students' productions are exposed. For this, we used elements of the didactical analysis proposed by the onto-semiotic approach and Toulmin's model for argumentation. The teacher's professional actions that promoted reiterative actions in students' mathematical practices were identified; we illustrate how these professional actions impelled students' actions to become norms concerning issues about the legitimacy of different types of arguments (e.g., analogical and abductive) in the theorem construction process.
Note: Reproducció del document publicat a:
It is part of: Mathematics, 2021, vol. 9, num. 18, p. 2296
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ISSN: 2227-7390
Appears in Collections:Articles publicats en revistes (Educació Lingüística i Literària i de Didàctica de les Ciències Experimentals i de la Matemàtica)

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