Geometrical concepts are characterized by the intertwining of theoretical and perceptual aspects, where examples play a crucial role from an educational perspective. We focus on the concept of height of triangles and propose an inquiry-game activity within GeoGebra, with the goal of prompting students to consider non-prototypical cases of triangles and enhancing their reflection on the critical attributes of this concept. After outlining a theoretical framework on the role of examples in geometrical reasoning, we present the Height Challenge Game and report some excerpt from a grade 7 classroom discussion. An emerging model for the role of different kind of figures at play in the game is proposed.

Enhancing reflection on the critical attributes of the figures: the height challenge game

Soldano, C.
;
Sabena, C.
2022-01-01

Abstract

Geometrical concepts are characterized by the intertwining of theoretical and perceptual aspects, where examples play a crucial role from an educational perspective. We focus on the concept of height of triangles and propose an inquiry-game activity within GeoGebra, with the goal of prompting students to consider non-prototypical cases of triangles and enhancing their reflection on the critical attributes of this concept. After outlining a theoretical framework on the role of examples in geometrical reasoning, we present the Height Challenge Game and report some excerpt from a grade 7 classroom discussion. An emerging model for the role of different kind of figures at play in the game is proposed.
2022
45th Conference of the International Group for the Psychology of Mathematics Education (PME45)
Alicante (Spagna)
18-23 luglio 2022
Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education
Universidad de Alicante
4
11
18
978-84-1302-178-2
https://web.ua.es/it/pme45/documents/proceedings-pme45-vol4.pdf
Soldano, C.; Sabena, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1884186
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