Argumentation in exploring mathematical machines: a study on pantographs
Samuele Antonini, Francesca Martignone · Florence Research (University of Florence) · 2011
The activities with the Mathematical Machines can promote interesting and important processes of generating conjectures, argumentations, and mathematical proofs. In this paper, we analyse argumentations produced by the students in exploring pantographs for geometrical transformations, showing how the argumentations refer to some specific elements of the pantographs (the structure, the movement, the drawing traced by the machine) and to different components (figural and conceptual) of the geometrical figures representing the linkages.