In this paper we propose a hypothesis about how different uses of maintaining dragging, either as a physical tool in a dynamic geometry environment or as a psychological tool for generating conjectures can influence subsequent processes of proving. Through two examples we support the hypothesis that using maintaining dragging as a physical tool may foster cognitive rupture between the conjecturing phase and the proof, while using it as a psychological tool may foster cognitive unity between them.
From conjecture generation by maintaining dragging to proof / Baccaglini-Frank Anna; Antonini Samuele. - STAMPA. - 2:(2016), pp. 43-50. ( 40th Conference of the International Group for the Psychology of Mathematics Education Szeged, Hungary August 3-7, 2016).
From conjecture generation by maintaining dragging to proof
Antonini Samuele
2016
Abstract
In this paper we propose a hypothesis about how different uses of maintaining dragging, either as a physical tool in a dynamic geometry environment or as a psychological tool for generating conjectures can influence subsequent processes of proving. Through two examples we support the hypothesis that using maintaining dragging as a physical tool may foster cognitive rupture between the conjecturing phase and the proof, while using it as a psychological tool may foster cognitive unity between them.
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