Investigating pre-service mathematics teachers' accuracy and mathematical creativity in 3D geometry tasks using GeoGebra

Date

2025-9-1

Author

Temiz, Orhan

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This study aimed to investigate pre-service mathematics teachers' accuracy and mathematical creativity in solving 3D geometry tasks using GeoGebra. A qualitative multiple case study design was employed. Four pre-service mathematics teachers enrolled in a GeoGebra course at a public university in Ankara were selected through convenience sampling. Data were collected during the spring semester of the 2023-2024 academic year using two multiple-solution 3D geometry tasks and semi-structured interviews. The data were analyzed within the framework of Leikin’s mathematical creativity model. The results showed that the participants demonstrated a high level of accuracy (over 80%) in solving multiple-solution 3D geometry tasks in the GeoGebra environment. While all participants generated more than one correct solution, the number of solutions varied across individuals. They employed diverse strategies and representations to solve tasks. However, a discrepancy emerged between the number of correct solutions and the use of different strategies. Some participants also produced insight-based or unconventional solutions (i.e., original solutions). Nevertheless, those who generated a greater number of solutions tended to rely on similar approaches rather than producing original solutions. Overall, the results indicated that the participants achieved relatively high mathematical creativity scores when working on 3D geometry tasks with GeoGebra.

Subject Keywords

Mathematical creativity, GeoGebra, Pre-service mathematics teachers, 3D-geometry, Multiple-solution tasks

URI

https://hdl.handle.net/11511/116617

Collections

Graduate School of Natural and Applied Sciences, Thesis