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Conjecturing (and Proving) in Dynamic Geometry after an Introduction of the Dragging Schemes

This paper describes some results of a research study on conjecturing and proving in a dynamic
geometry environment (DGE), and it focuses on particular cognitive processes that seem to be
induced by certain uses of tools available in Cabri (a particular DGE). Building on the work of
Arzarello and Olivero (Arzarello et al., 1998, 2002; Olivero, 2002), we have conceived a model
describing some cognitive processes that may occur during the production of conjectures and
proofs in a DGE and that seem to be related to the use of specific dragging schemes, in particular
to the use of the scheme we refer to as maintaining dragging. This paper contains a description of
aspects of the theoretical model we have elaborated for describing such cognitive processes, with
specific attention towards the role of the dragging schemes, and an example of how the model can be used to analyze students’ explorations.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:14-qucosa-79376
Date11 April 2012
CreatorsBaccaglini-Frank, Anna
ContributorsHTW Dresden, Informatik, Mathematik
PublisherSaechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:conferenceObject
Formatapplication/pdf
SourceProceedings of the tenth International Conference Models in Developing Mathematics Education. - Dresden : Hochschule für Technik und Wirtschaft, 2009. - S. 31 - 36

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