Transforming Images in a DGS: The Semiotic Potential of the Dragging Tool for Introducing the Notion of Conditional Statement

摘要: Research has shown that the tools provided by dynamic geometry systems (DGSs) impact on students’ approach to Euclidean Geometry and specifically investigating open problems asking for producing conjectures. Building work of Arzarello, Olivero, other researchers, study addresses use specific dragging modalities in solution conjecture problems. Within frame theory semiotic mediation (TSM), investigation aims at describing potential tool: how personal meanings emerging from activities a DGS can potentially be transformed into mathematical meanings. A theoretical discussion is presented, concerning possible meanings, respect different modalities, their relationship with conjectures, conditional statements. Further, it described emerge during exploratory processes they may related basic components statement: premise, conclusion, link between them. Some examples discussed are drawn teaching experiment where participants were introduced certain ways then interviewed while working problem activities.