Students' utilization schemes of pantographs for geometrical transformations: a first classification

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Abstract

The activities with the Mathematical Machines are very rich from educational and cognitive points of view. In particular, the use of pantographs has revealed educational potentialities for the acquisition of some important mathematical concepts and for the emergence of argumentation and proving processes, at any school level. In this paper, we propose a cognitive analysis of the processes involved in the manipulation of the mathematical machines, providing a first classification of utilization schemes of pantographs for geometrical transformations. This classification can be efficiently used to observe, describe and analyse cognitive processes involved in the exploration of mathematical properties incorporated in the machines
Lingua originaleInglese
Pagine1250-1259
Numero di pagine9
Stato di pubblicazionePubblicato - 1 gen 2010
EventoSixth Congress of the European Society for Research in Mathematics Education - Lione (Francia)
Durata: 1 gen 2010 → …

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???event.eventtypes.event.conference???Sixth Congress of the European Society for Research in Mathematics Education
CittàLione (Francia)
Periodo1/01/10 → …

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