Tool-based argumentation

Kalliopi Siopi , Eugenia Koleza (1)

1 University of Patras

and [e-mail] The study presented in this report is part of a research project concerning the mediation of artifacts in teaching and learning geometry. In this paper we analyze the first step of our research which concerns the student-pantograph interaction and the identification of the math laws incorporated in the machine. During this interaction we are specifically interested in arguments that students produce for supporting their claims. Tools, especially mathematical machines, may support argumentation processes focusing either on the structure of the machine, or to the embodied math concepts that emerge from the machine's movement. Our research has shown that these arguments hold mainly on the topological conception of geometric figures.

Keywords: Argumentation; instrumentation; figural concept; topology; pantograph

Domains: Mathematics [math]; Humanities and Social Sciences

Kalliopi Siopi, Eugenia Koleza. Tool-based argumentation. CERME 10, Feb 2017, Dublin, Ireland. ⟨hal-01865646⟩