分析学生解线性方程组错误的纽曼法

Veni Saputri, Rizal Kamsurya
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引用次数: 2

摘要

本研究旨在分析学生在线性方程组解题活动中的错误。采用描述性定性方法对研究数据进行获取和处理。研究对象的选择采用有目的的抽样技术。根据他们的数学熟练程度选择了三名参与者。数据收集通过测试来衡量学生的问题解决能力和半结构化访谈来收集关于学生在求解线性方程组时错误的定性信息。运用叙事分析法对访谈结果进行分析,得出准确的结论。研究发现:(1)低能力学生倾向于在理解阶段犯错误,(2)中等能力学生倾向于在转化阶段犯错误,(3)高能力学生倾向于在加工技能阶段犯错误。基于能力水平的解决方案是:(1)要求低能力学生认真阅读问题,教育者强调解决问题的过程,学生在解决问题中加强对前提学习内容的理解;(2)中等能力的学生必须注重培养他们理解问题语言的技能,并在提高他们对学习内容的理解和语境练习之间取得平衡;(3)为能力高的学生提供练习,提高他们解题时数题的速度和准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
THE NEWMAN PROCEDURE FOR ANALYZING STUDENTS' ERRORS IN SOLVING SYSTEMS OF LINEAR EQUATIONS
This study aimed to analyze students’ errors in problem-solving activities for systems of linear equations. The descriptive qualitative method was adopted and applied to obtain and process the research data. Research subjects were selected using the purposive sampling technique. Three participants were chosen according to their mathematical proficiency levels. Data collection was conducted by tests to measure students’ problem-solving abilities and semi-structural interviews to gather qualitative information about students’ errors in solving systems of linear equations. The interview results were analyzed using narrative analysis to obtain accurate conclusions. The study found that (1) low-ability students tend to perform error at the comprehension stage, (2) medium-ability students are likely to perform error at the transformation stage, and (3) high-ability students tend to perform error at the process skills stage. The solutions based on the ability level are: (1) low-ability students are required to read the question carefully, educators should emphasize the problem-solving procedure, and students should strengthen their understanding of the prerequisite learning content in problem-solving; (2) medium-ability students have to focus on the emphasis and development of their skills in understanding the language of a problem and balance with improving their understanding of learning content and contextual exercising; (3) high-ability students are provided with exercises that can improve their counting speed and accuracy of the subject in resolving a problem.
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