Abstract
The literature reports preservice teachers’ overuse of proportionality when solving geometric similarity problems with nonproportional relationships. Changing this type of error is reported as difficult even after applying certain interventions. As a solution to this type of error, this study used augmented reality activities to facilitate the development of preservice mathematics teachers’ proportional reasoning. The data of this qualitative study included 17 preservice teachers’ written responses to a paper-and-pencil test with five problems, which had been applied before and after the implementation of the augment reality activities, and video recordings collected during the augment reality implementation process. A case study methodology was used in designing the study in which the collected data were analyzed using a content analysis method. The preservice teachers’ first test responses showed that although they were good at solving problems with regular figures, they had difficulty solving the problem with irregular figures. In this specific problem, the preservice teachers expected a proportional relationship between the areas of the two irregular figures. Their difficulties appeared to be a result of not being able to calculate the areas of these two figures by tiling or multiplying length and width that they used for regular figures. After the implementation of the augmented reality activities, which provided a dynamic representation of similar figures, the preservice teachers’ overuse of proportionality drastically decreased. This finding suggested the contribution of the augmented reality technology on the development of the preservice teachers’ proportional reasoning.
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Acknowledgements
We would like to thank to Dr. Wim Van Dooren and Dr. Lieven Verschaffel for their valuable feedbacks on earlier drafts of this manuscript. The first author also thanks to the Scientific and Technological Research Council of Turkey (TUBITAK) for providing a grant for a research stay at KU Leuven during when he was able to complete writing this manuscript.
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The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.
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MA taught the course and designed geometric similarity test items. BO designed augmented reality activities. Both authors reviewed the test items and augmented reality activities, analyzed preservice teachers’ responses, and contributed to writing of the necessary sections of the manuscript. The authors read and approved the final manuscript.
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Appendix
Appendix
1.1 The Geometric Similarity Test
1.2 The Augmented Reality Activities
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Arican, M., Özçakir, B. Facilitating the development of Preservice teachers’ proportional reasoning in geometric similarity problems using augmented reality activities. Educ Inf Technol 26, 2327–2353 (2021). https://doi.org/10.1007/s10639-020-10359-1
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DOI: https://doi.org/10.1007/s10639-020-10359-1