Investigation of Pre-service Middle School Mathematics Teachers Habits of Mind in Pattern Generalization Problems

İrem Coşkun, Deniz ÖZEN ÜNAL, Sabahattin Eryalçin, Ersen Yazici
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Abstract

In this study, it was aimed to determine pre-service middle school mathematics teachers’ habits of mind. The method of the study was determined as a case study. Participants are 23 junior pre-service middle school mathematics teachers. Data were collected with four open-ended linear and quadratic pattern problems. The clinical interviews were conducted with six of the pre-service teachers. In the analysis of the data, content analysis was carried out using habits of mind framework for pattern generalization. The results of the study show that similar habits of mind revealed by pre-service teachers in problem situations. The pre-service teachers had more difficulty in balancing exploration and reflection compared to the other. It was found that the pattern types of the problems affected the habits of mind. It is suggested that more studies need to be done to reveal and foster the quality of algebra and algebraic thinking.
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职前初中数学教师在模式概括问题中的思维习惯调查
本研究旨在确定职前初中数学教师的思维习惯。研究方法确定为案例研究。研究对象为 23 名初中数学教师。通过四个开放式的线性和二次型问题收集数据。对其中六位职前教师进行了临床访谈。在分析数据时,采用思维习惯框架对模式概括进行了内容分析。研究结果表明,职前教师在问题情境中表现出类似的思维习惯。相比之下,职前教师在兼顾探索与反思方面遇到的困难更大。研究发现,问题的模式类型会影响思维习惯。建议需要开展更多的研究来揭示和培养代数和代数思维的质量。
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