Error analysis in answering system of of linear equations with two variables questions based on Newman indicator

M. A. Sukmarini, H. Hermanto
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Abstract

This study focuses on the forms of errors made by students in solving math problems, especially on the material of a two-variable system of linear equations. The purpose of this research is  describing detail the form of errors made by students based on error indicators according to the Newman Stages. The data collection technique used is observation. By collecting data in the form of written test results from students, the forms of errors made by students were obtained, including: at stage (1) the form of the error was wrong in writing down known information, incomplete in writing down the information contained in the question, and wrong in determining the information in question, at stage (2) it is not appropriate to write a mathematical model from known information, and does not use variable symbols to simplify calculations, at stage (3) does not operate similar variables, substitutes wrong values, does not apply rules of operation, miscalculations, and did not get the final result of the calculation process, at stage (4) did not change the variable symbol into the form that the question asked, did not provide information on the final answer, and wrote conclusions but did not match what the questions asked.
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基于纽曼指示器的二元线性方程组答题系统误差分析
本研究的重点是学生在解决数学问题时所犯错误的形式,特别是在两变量线性方程组的材料上。本研究的目的是根据纽曼阶段的错误指标,详细描述学生所犯错误的形式。所使用的数据收集技术是观察法。通过以笔试成绩的形式收集学生的数据,得到学生的错误形式,包括:在第(1)阶段,错误的形式是错误地记录了已知信息,不完整地记录了问题中包含的信息,错误地确定了问题中的信息;在第(2)阶段,不适合从已知信息中编写数学模型,并且没有使用变量符号来简化计算;在第(3)阶段,不操作类似的变量,替换错误的值,不适用操作规则,错误计算;并且没有得到计算过程的最终结果,在阶段(4)没有将变量符号转换成问题所问的形式,没有提供最终答案的信息,并且写出的结论与问题所问的不匹配。
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