Enhancing the Skill of Geometric Prediction Using Dynamic Geometry

Elisa Miragliotta and Anna E. Baccaglini-Frank
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Elisa Miragliotta: Department of Mathematics “F. Casorati”, University of Pavia, 27100 Pavia, Italy
Anna E. Baccaglini-Frank: Department of Mathematics, University of Pisa, 56127 Pisa, Italy

Mathematics, 2021, vol. 9, issue 8, 1-27

Abstract: This study concerns geometric prediction, a process of anticipation that has been identified as key in mathematical reasoning, and its possible constructive relationship with explorations within a Dynamic Geometry Environment (DGE). We frame this case study within Fischbein’s Theory of Figural Concepts and, to gain insight into a solver’s conceptual control over a geometrical figure, we introduce a set of analytical tools that include: the identification of the solver’s geometric predictions, theoretical and phenomenological evidence that s/he may seek for, and the dragging modalities s/he makes use of in the DGE. We present fine-grained analysis of data collected during a clinical interview as a high school student reasons about a geometrical task, first on paper-and-pencil, and then in a DGE. The results suggest that, indeed, the DGE exploration has the potential of strengthening the solver’s conceptual control, promoting its evolution toward theoretical control.

Keywords: geometric prediction; conceptual control; Dynamic Geometry Environment (DGE); phenomenological evidence; theoretical evidence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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