Research Article

Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process

Volume: 25 Number: 2 March 15, 2017
Tangül Kabael , Ayça Akın , Fatma Kızıltoprak , Onur Toprak
EN TR

Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process

Abstract

The aim of this study is to investigate pre-service middle school mathematics teachers’ways of thinking (WoT), ways of understanding (WoU) and pedagogical approaches as well as


the relationships among them in the context of problem-solving within the DNR framework. In


this qualitatively designed study, the data was collected through clinical interviews with four


pre-service middle school mathematics teachers and analyzed through open and axial coding


approach. The results of the analysis indicated that pre-service mathematics teachers’ WoTs in


the context of problem-solving were fell into two categories. This study also revealed that WoTs


and particularly proof schemes in the context of problem-solving might play effective role in


pre-service middle school mathematics teachers’ pedagogical approaches.

Keywords

Keywords: Problem solving,ways of thinking,ways of understanding,pre-service mathematics teachers.

References

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  9. Lim, K. H. (2006). Students’ mental acts of anticipating in solving problems involving alge-braic inequalities and equations. Unpublished dissertation, San Diego State University.
  10. Lim, K. H., Morera, O. and Tchoshanov, M. (2009). Assessing problem-solving dispositions: Likelihood-to-act survey. In S. L. Swars, D. W. Stinson and S. Lemons-Smith (Eds.), Pro-ceedings of the 31th of the PME-NA (pp. 700-708). Atlanta: Georgia State University.
APA
Kabael, T., Akın, A., Kızıltoprak, F., & Toprak, O. (2017). Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process. Kastamonu Education Journal, 25(2), 849-868. https://izlik.org/JA65HA52FJ
AMA
1.Kabael T, Akın A, Kızıltoprak F, Toprak O. Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process. Kastamonu Education Journal. 2017;25(2):849-868. https://izlik.org/JA65HA52FJ
Chicago
Kabael, Tangül, Ayça Akın, Fatma Kızıltoprak, and Onur Toprak. 2017. “Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process”. Kastamonu Education Journal 25 (2): 849-68. https://izlik.org/JA65HA52FJ.
EndNote
Kabael T, Akın A, Kızıltoprak F, Toprak O (March 1, 2017) Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process. Kastamonu Education Journal 25 2 849–868.
IEEE
[1]T. Kabael, A. Akın, F. Kızıltoprak, and O. Toprak, “Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process”, Kastamonu Education Journal, vol. 25, no. 2, pp. 849–868, Mar. 2017, [Online]. Available: https://izlik.org/JA65HA52FJ
ISNAD
Kabael, Tangül - Akın, Ayça - Kızıltoprak, Fatma - Toprak, Onur. “Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process”. Kastamonu Education Journal 25/2 (March 1, 2017): 849-868. https://izlik.org/JA65HA52FJ.
JAMA
1.Kabael T, Akın A, Kızıltoprak F, Toprak O. Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process. Kastamonu Education Journal. 2017;25:849–868.
MLA
Kabael, Tangül, et al. “Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process”. Kastamonu Education Journal, vol. 25, no. 2, Mar. 2017, pp. 849-68, https://izlik.org/JA65HA52FJ.
Vancouver
1.Tangül Kabael, Ayça Akın, Fatma Kızıltoprak, Onur Toprak. Pre-Service Middle School Mathematics Teachers’ Ways of Thinking, Ways of Understanding and Pedagogical Approaches in Problem-Solving Process. Kastamonu Education Journal [Internet]. 2017 Mar. 1;25(2):849-68. Available from: https://izlik.org/JA65HA52FJ