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ERIC Number: EJ1036722
Record Type: Journal
Publication Date: 2013-Nov
Pages: 22
Abstractor: As Provided
Reference Count: 28
ISSN: ISSN-0013-1954
Discernment of Invariants in Dynamic Geometry Environments
Leung, Allen; Baccaglini-Frank, Anna; Mariotti, Maria Alessandra
Educational Studies in Mathematics, v84 n3 p439-460 Nov 2013
In this paper, we discuss discernment of invariants in dynamic geometry environments (DGE) based on a combined perspective that puts together the lens of variation and the maintaining dragging strategy developed previously by the authors. We interpret and describe a model of discerning invariants in DGE through types of variation awareness and simultaneity, and sensorimotor perception leading to awareness of dragging control. In this model, level-1 invariants and level-2 invariants are distinguished. We discuss the connection between these two levels of invariants through the concept of "path" that can play an important role during explorations in DGE, leading from discernment of level-1 invariants to discernment of level-2 invariants. The emergence of a path and the usefulness of the model will be illustrated by analysing two students' DGE exploration episodes. We end the paper by discussing a possible pathway between the phenomenal world of DGE and the axiomatic world of Euclidean geometry by introducing a dragging exploration principle.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A