Students’ Errors in Solving Plane Geometry Problems Using E-Learning-based Diagnostic Tests

Mukhlis Hidayat, Tuti Zubaidah, Munira Ulfa, Elizar Elizar
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Abstract

During the Covid-19 pandemic, the implementation of online and shift learning systems has been identified as one factor contributing to learning loss in mathematics problem-solving skills specifically in plane geometry problems. The primary objective of this research was to investigate the different types of errors committed by junior high school students in Banda Aceh, Indonesia, in solving plane geometry problems using e-learning diagnostic tests. A descriptive qualitative approach was adopted, and 24 Year 8 students were selected as subjects. The data were collected through tests and interviews, and data analysis involved data reduction, data presentation, data verification, and drawing conclusions. The findings revealed that the percentage of students' errors in solving conceptual problems, principal problems, and verbal problems were 76.39%, 68.75%, and 75%, respectively. Subsequently, the results from the second test and interviews with six students showed that students encountered several conceptual errors, including errors in stating angle symbols, errors in identifying the type of shape provided, errors in deducing information regarding properties, perimeter, and area of plane geometry, lack of knowledge regarding the application of the appropriate plane geometry formula, and inability to solve problems using the correct procedure. Principal errors were related to algebraic operations, while verbal errors involved translating problems and improper application of concepts and principles. The understanding of the types of errors will help teachers detect errors made the students early.
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利用基于电子学习的诊断测试解决平面几何问题的学生错误
在2019冠状病毒病大流行期间,在线和轮班学习系统的实施已被确定为导致数学解决问题能力(特别是平面几何问题)学习能力丧失的一个因素。本研究的主要目的是调查印度尼西亚班达亚齐初中生在使用电子学习诊断测试解决平面几何问题时所犯的不同类型的错误。采用描述性定性方法,选取24名8年级学生作为研究对象。通过测试和访谈收集数据,数据分析包括数据还原、数据呈现、数据验证和得出结论。结果显示,学生在解决概念问题、主要问题和语言问题上的错误比例分别为76.39%、68.75%和75%。随后,第二次测试的结果和对六名学生的采访表明,学生们遇到了几个概念上的错误,包括陈述角度符号的错误,识别所提供形状类型的错误,推断有关平面几何性质、周长和面积的信息的错误,缺乏关于应用适当平面几何公式的知识,以及无法使用正确的程序解决问题。主要错误与代数运算有关,而口头错误涉及翻译问题和概念和原理的不当应用。对错误类型的了解有助于教师及早发现学生犯的错误。
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