In this article we present some results of a cognitive study on Mathematical Machines taken from the history of mathematics. In particular, we will propose a classification of the utilization schemes of pantographs for geometrical transformations. This classification, useful to describe the interaction between a subject and the machine, can be an efficient tool to analyse the exploration processes involved in the identification of the transformation and of the mathematical law incorporated in the machine.
Exploring the mathematical machines for geometrical transformations: a cognitive analysis / Martignone F.; Antonini S.. - In: PROCEEDINGS OF THE PME CONFERENCE. - ISSN 0771-100X. - STAMPA. - 4:(2009), pp. 105-112. ( 33rd Conference of the International Group for the Psychology of Mathematics Education Thessaloniki, Greece 19-24 July, 2009).
Exploring the mathematical machines for geometrical transformations: a cognitive analysis
Antonini S.
2009
Abstract
In this article we present some results of a cognitive study on Mathematical Machines taken from the history of mathematics. In particular, we will propose a classification of the utilization schemes of pantographs for geometrical transformations. This classification, useful to describe the interaction between a subject and the machine, can be an efficient tool to analyse the exploration processes involved in the identification of the transformation and of the mathematical law incorporated in the machine.
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