The role of dynamic geometry software on mathematical creativity of pre-service mathematics teachers in geometry tasks

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2021-7-14

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Melek, Zülal

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The purpose of the study was to investigate the role of the dynamic geometry software on mathematical creativity of pre-service mathematics teachers in geometry tasks. The sample of the present study was five pre-service mathematics teachers in a public university in Ankara. The sample of the study was selected by the convenience sampling method from the pre-service mathematics teachers who took Exploring Geometry with Dynamic Geometry Applications course. The pre service mathematics teachers asked to solve three different geometry tasks with more than one ways. The pre-service teachers asked to solve the task 1 in the paper-pencil environment and the task 2 in the GeoGebra environment. They were free to use any environment in the task 3. The source of the main data was participants‟ written works, GGB files, and video recordings. The data was analyzed by using written works, GGB files, and video recordings in terms of three dimensions of creativity: fluency, flexibility, and originality. Both mathematical creativity and the three dimensions of creativity were discussed by examining students' solutions in pencil-paper and dynamic geometry environments. Results reveal that GeoGebra set an environment for the pre-service teachers that enabled them to use their mathematical creativity in geometry tasks by supporting the different dimensions of creativity. While the fluency of pre-service teachers did not seem to be affected by the environment, it promotes the flexibility of pre service teachers by allowing them to create alternative solution ways. Also, the combination of GeoGebra with the paper-pencil seemed to be more supportive of the pre-service teachers' flexibility. In short, GeoGebra has the potential to support mathematical creativity in solving geometry tasks because it allows individuals to provide more flexible and original solutions, especially when presented with a paper-pencil environment.

Subject Keywords

Mathematical creativity, Dynamic geometry software, GeoGebra, Paper-pencil environment, Pre-service mathematics teachers

URI

https://hdl.handle.net/11511/91563

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

Z. Melek, “The role of dynamic geometry software on mathematical creativity of pre-service mathematics teachers in geometry tasks,” M.S. - Master of Science, Middle East Technical University, 2021.