Generating Conjectures in Dynamic Geometry: The Maintaining Dragging Model

Autor/inn/en	Baccaglini-Frank, Anna; Mariotti, Maria Alessandra
Titel	Generating Conjectures in Dynamic Geometry: The Maintaining Dragging Model
Quelle	In: International Journal of Computers for Mathematical Learning, 15 (2010) 3, S.225-253 (29 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1382-3892
DOI	10.1007/s10758-010-9169-3
Schlagwörter	Cognitive Processes; Geometry; Models; Interviews; Computer Assisted Instruction; Animation; Computer Software; Mathematical Concepts; Mathematics Activities; Mathematics Instruction; Protocol Analysis + Suchen Sie Ihr Suchwort? Cognitive process; Kognitiver Prozess; Geometrie; Analogiemodell; Interviewing; Interviewtechnik; Computer based training; Computerunterstützter Unterricht; Mathematics lessons; Mathematikunterricht
Abstract	Research has shown that the tools provided by dynamic geometry systems (DGSs) impact students' approach to investigating open problems in Euclidean geometry. We particularly focus on cognitive processes that might be induced by certain ways of dragging in Cabri. Building on the work of Arzarello, Olivero and other researchers, we have conceived a model describing some cognitive processes that can occur during the production of conjectures in dynamic geometry and that seem to be related to the use of specific dragging modalities. While describing such cognitive processes, our model introduces key elements and describes how these are developed during the exploratory phase and how they evolve into the basic components of the statement of the conjecture (premise, conclusion, and conditional link between them). In this paper we present our model and use it to analyze students' explorations of open problems. The description of the model and the data presented are part of a more general qualitative study aimed at investigating cognitive processes during conjecture-generation in a DGS, in relation to specific dragging modalities. During the study the participants were introduced to certain ways of dragging and then interviewed while working on open problem activities. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10