Game approach with the use of technology: A possible way to enhance mathematical thinking

The purpose of this paper is to draw attention to the strategic thinking that students develop facing mathematical games. We hypothesise that prompting a strategic way of thinking within a didactical intervention, called the 'game-approach', could improve students' proving processes and support them in the production of proofs. More precisely, we are designing tasks based on two players' games in a Multi-touch Dynamic Geometric Environment, in which the discovery of the winning strategy coincides with the discovery of a geometric property. We aim to contribute to the debate on the possibility of cognitive and epistemic unity and to deepen the studies based on dragging practises and their cognitive counterpart.