Meta-cognitive Aspects of Solving Indefinite Integral Problems

Meta-cognitive Aspects of Solving Indefinite Integral Problems
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解决不定积分问题的元认知方面

DOI:
10.1016/j.sbspro.2015.07.205
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发表时间:
2015
期刊:
Procedia - Social and Behavioral Sciences
影响因子:
--
通讯作者:
Yasemin Katrancı
Yasemin Katrancı
中科院分区:
--
文献类型:
--
作者:
Sare Sengul;Yasemin Katrancı

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本研究旨在分析元认知在解决不定积分问题中的作用。在这项研究中,有三个特别需要达到的目标。它们是:1)观察未来数学教师在解决问题时的元认知行为;2)确定元认知在问题解决中的重要性;3)确定解决不定积分问题的挑战、典型错误和需要考虑的问题。本研究属于质的研究。数据收集工具是:i)问题表(PF)和ii)元认知技能问卷(MSQ)。在此背景下,本研究由60名准数学教师完成。所有未来的数学教师都是一所大学的大二学生。未来的数学教师在50分钟内填写了数据收集工具。对收集到的数据进行描述性分析。通过对未来数学教师所解决问题的分析和对问卷的检验,以期对解决不定积分问题的元认知方面有所了解。综上所述,未来数学教师面临的挑战是容易被回忆、选择错误的解决方案以及不知道从哪里开始解决问题。常见的错误是不正确的解和计算错误。另一方面,在解决问题时应该考虑的一点是选择一种策略。
The aim of this study is to analyze the role of meta-cognition while solving indefinite integral problems. In this study, there are particularly three objectives to be obtained. These are; i) observe meta-cognitive behaviors of prospective mathematics teachers while solving problems, ii) determine the importance of meta-cognition in problem solving and iii) determine challenges, typical errors and points to be considered for solving indefinite integral problems. The study is a qualitative research. Data collection tools are; i) Problems Form (PF) and ii) Meta-Cognitive Skills Questionnaire (MSQ). In this context, this study was completed by 60 prospective mathematics teachers. All prospective mathematics teachers are sophomore students at a university. Data collection tools were filled by the prospective mathematics teachers in 50 minutes. Collected data were analyzed descriptively. The analysis of the problem which were solved by the prospective mathematics teachers and the examination of completed questionnaires are to provide an understanding for the meta-cognitive aspects of solving indefinite integral problems. In conclusion, the challenges faced by prospective mathematics teachers that are subject to recall, choose incorrect solution and not knowing where to start in problem solving. The common mistakes are incorrect solutions and calculation errors. On the other hand, the point that should be considered in the problem solving is to choose a strategy.