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.
Argumentation in exploring mathematical machines: a study on pantographs / ANTONINI, SAMUELE; Martignone Francesca. - In: PROCEEDINGS OF THE PME CONFERENCE. - ISSN 0771-100X. - STAMPA. - 2:(2011), pp. 41-48. (Intervento presentato al convegno 35th Conference of the International Group for the Psychology of Mathematics Education tenutosi a Ankara, Turkey. nel 10-15 July, 2011.).
Argumentation in exploring mathematical machines: a study on pantographs
ANTONINI, SAMUELE;
2011
Abstract
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.
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