基于安德森分类法的学生数学解题错误类型分析

Komang Tri Purnamayanthi, I. N. Suparta, Gde Suweken
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引用次数: 1

摘要

本研究分析了学生在回答C1-C6级问题时的错误,这些问题是基于安德森对三变量线性方程组的分类。本研究以登巴萨圣约瑟夫高中10年级30名学生为研究对象,采用描述性定性方法,通过测试和访谈收集数据。给学生6道数学题,然后对这些数学题进行错误分析,然后对学生进行访谈,找出错误的原因。基于错误类型的学生错误百分比的结果是不完整的答案占46.8%,技术错误占25.5%,对先前材料的理解错误占16.6%,语言误解占5.5%,数据滥用占4.5%,未经验证的解决方案占1.1%。从访谈的结果来看,错误的原因是时间管理不善,解决问题的动机低,不理解问题,不做复查,粗心大意,由于学生的自发思维而发生的错误假设而没有检查问题的含义,学生不理解解决问题过程中与程序相关的概念,不太注意答案的结果。结果表明,每个级别都存在错误,特别是在较高的级别,这影响了需要增加C4, C5和C6级别的练习题,以便学生更好地理解并增加解决所给问题的动机。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis of the Types of Student Error in Solving Mathematical Problems based on the Anderson’s Taxonomy
This study analyzed student errors in answering questions with levels C1-C6 based on Anderson's taxonomy on the topic of a three-variable system of linear equations. The research was conducted with a descriptive qualitative approach in which the data were collected through test and interviews by taking 30 tenth grade students at Santo Joseph Senior High School Denpasar as the subjects. Students were given 6 math problems, which were then analyzed for errors and followed by interviewing students to find the cause of their errors. The results of the percentage of student errors based on the type of error were incomplete answers at 46.8%, technical errors at 25.5%, errors in understanding the previous material at 16.6%, language misinterpretation at 5.5%, data misuse at 4.5%, and unverified solutions at 1.1%. From the results of the interviews, it was found that the causes of the errors were poor time management, low motivation to try to solve problems, not understanding the problem, not doing re-examination, being careless, errors in assuming that occurred due to students' spontaneous thinking without examining the meaning of the problem, students did not understand the concept that was related to procedures in solving problems, and less attention to the results of the answers made. The results indicated that there were errors at each level, especially at higher levels which have an impact on the need to increase practice questions at levels C4, C5, and C6 so that the students’ understanding is better and the motivation to solve the problems given is increased.
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