Examination of Mathematical Errors and Mistakes in Calculus Course

Davut Köğce
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引用次数: 1

Abstract

This study was conducted to identify mathematical errors and mistakes made by preservice elementary mathematics teachers in the calculus course. To that end, the document analysis method of qualitative research models was used in the research. The sample of the research included a total of 75 preservice teachers who were attending the Department of Elementary Mathematics Education in the Faculty of Education at a public university and taking the calculus I course during the fall term of 2016-2017 academic year. Accordingly, written documents including the participant preservice teachers’ papers of interim exams, practice exams, and general exams constituted the data source. The exam papers were scanned with a scanner and transformed into the electronic environment. A content analysis was performed with the data by using MAXQDA 12 qualitative data analysis program, and “data coding” of data analysis techniques was utilized. It was concluded that the preservice teachers made procedural and conceptual errors and mistakes, mathematical errors and mistakes such as recalling generalizations incompletely or incorrectly. Some recommendations were made in light of these results. this development and Thus, this aimed to identify mathematical errors and mistakes made by preservice elementary mathematics teachers in the calculus course. The following main research problem was asked to that end: mathematical errors and mistakes are made by preservice elementary mathematics teachers in calculus course?”
微积分课程中数学错误的考查
本研究旨在找出职前初等数学教师在微积分课程中所犯的数学错误。为此,本研究采用了定性研究模型的文献分析方法。研究样本包括75名在职教师,他们就读于公立大学教育学院初等数学教育系,并在2016-2017学年秋季学期学习微积分I课程。因此,包括参与者的期中考试、实践考试和普通考试的职前教师试卷在内的书面文件构成了数据源。试卷用扫描仪扫描,并转换到电子环境中。使用MAXQDA 12定性数据分析程序对数据进行内容分析,并利用数据分析技术的“数据编码”。结果表明,职前教师存在程序性和概念性错误、数学错误以及回忆概括不完整或不正确等错误。根据这些结果提出了一些建议。因此,本研究旨在识别职前初等数学教师在微积分课程中所犯的数学错误。为此,提出了以下主要研究问题:小学数学教师在微积分课上会犯数学错误吗
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