ERIC Number: EJ1227908
Record Type: Journal
Publication Date: 2019-Oct
Pages: 13
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1863-9690
EISSN: N/A
Dragging, Instrumented Abduction and Evidence, in Processes of Conjecture Generation in a Dynamic Geometry Environment
ZDM: The International Journal on Mathematics Education, v51 n5 p779-791 Oct 2019
In a dynamic geometry environment (DGE) conjectures can be generated by manipulating figures with different dragging strategies. One strategy (maintaining dragging) that has been the focus of various studies, consists of inducing a specific geometric property and trying to maintain it. In this paper I focus on abduction and evidence within such processes of the generation of conjectures. I discuss the particular nature of the abductive process associated with the use of maintaining dragging (instrumented abduction). In respect of other forms of abduction reported in the literature, I highlight their key role in bridging phenomenological evidence and theoretical evidence. Results from analysis of a case study suggest that using maintaining dragging leads students to the generation of conjectures with solid phenomenological evidence. On the other hand, the process withholds a potential fragility with respect to proof of the conjectures generated, due to the scarce theoretical evidence stemming from it.
Descriptors: Geometry, Mathematical Logic, Logical Thinking, Evidence, Geometric Concepts, Learning Processes, Phenomenology
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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
Grant or Contract Numbers: N/A