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

Cristina Sabena ; Carlotta Soldano ^[1]
1. [1] University of Turin
  
  University of Turin
  
  Torino, Italia
Localización: Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education / coord. por Ceneida Fernández Verdú, Salvador Llinares Ciscar, Ángel Gutiérrez Rodríguez, Núria Planas i Raig, Vol. 4, 2022 (Research Reports (Si – Z) · Oral Communications, Poster Presentations), ISBN 978-84-1302-178-2, págs. 11-18
Idioma: inglés
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Resumen
- 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 inquirygame activity within GeoGebra, with the goal of prompting students to consider nonprototypical 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.