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Article

Enhancing the Skill of Geometric Prediction Using Dynamic Geometry

1
Department of Mathematics “F. Casorati”, University of Pavia, 27100 Pavia, Italy
2
Department of Mathematics, University of Pisa, 56127 Pisa, Italy
*
Author to whom correspondence should be addressed.
Academic Editor: Michael Voskoglou
Mathematics 2021, 9(8), 821; https://doi.org/10.3390/math9080821
Received: 1 February 2021 / Revised: 27 March 2021 / Accepted: 6 April 2021 / Published: 9 April 2021
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. View Full-Text
Keywords: geometric prediction; conceptual control; Dynamic Geometry Environment (DGE); phenomenological evidence; theoretical evidence geometric prediction; conceptual control; Dynamic Geometry Environment (DGE); phenomenological evidence; theoretical evidence
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MDPI and ACS Style

Miragliotta, E.; Baccaglini-Frank, A.E. Enhancing the Skill of Geometric Prediction Using Dynamic Geometry. Mathematics 2021, 9, 821. https://doi.org/10.3390/math9080821

AMA Style

Miragliotta E, Baccaglini-Frank AE. Enhancing the Skill of Geometric Prediction Using Dynamic Geometry. Mathematics. 2021; 9(8):821. https://doi.org/10.3390/math9080821

Chicago/Turabian Style

Miragliotta, Elisa, and Anna E. Baccaglini-Frank. 2021. "Enhancing the Skill of Geometric Prediction Using Dynamic Geometry" Mathematics 9, no. 8: 821. https://doi.org/10.3390/math9080821

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