Identification of Student Thinking Error Patterns in Construction of Mathematical Proof

A. Prayitno, Febi Dwi Widayanti
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Abstract

The purpose of this study is to identify patterns of student thinking errors in constructing mathematics proof. Therefore, the study employed a mixed-method approach, combining both quantitative and qualitative paradigms. The subjects of this study were second-generation mathematics education students at Wisnuwardhana University and Kanjuruhan University, Indonesia. The results obtained showed that the pattern of students’ thinking errors in the construction of mathematical proof was due to insufficient initial knowledge about the definition of proof, and difficulties in connecting the concepts of rational numbers when operating two rational numbers.
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数学证明构建中学生思维错误模式的识别
本研究的目的是找出学生在建构数学证明时的思维错误模式。因此,本研究采用了定量与定性相结合的混合方法。本研究以印尼Wisnuwardhana大学和Kanjuruhan大学二代数学教育学生为研究对象。结果表明,学生在构建数学证明过程中出现思维错误的模式主要是由于对证明的定义初步认识不足,以及在操作两个有理数时难以将有理数的概念联系起来。
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