Construction Errors in Students' Mathematical Problem-Solving Based on Scaffolding Analysis

Azza Wildah, Kamid, Haryanto
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Abstract

In mathematics learning, concept construction errors often occur when learning Systems of Linear Equations with Three Variables (SPLTV). This research aims to determine the process of students' concept construction errors, the causal factors, and how students overcome problems by providing scaffolding in SPLTV material. Data was obtained from test results and interviews with six students as research subjects. From the research results, data was received that the errors experienced by students in solving mathematical problems on SPLTV material were that the method used needed to match what was taught, made mistakes in calculations, did not make conclusions, and made mistakes at the previous stage. It was found that the factors that caused students' errors were lack of accuracy, misunderstanding of concepts, or needing to be more fixated on example questions. After being given the scaffolding stages, namely environmental provisions, explaining and reviewing, restructuring, and developing conceptual thinking, students know where their mistakes are and can correct them. Providing scaffolding can help students minimize concept construction errors when solving mathematical problems.
基于脚手架分析的学生数学解题中的构造错误
在数学学习中,学习三变量线性方程组(SPLTV)时经常会出现概念构建错误。本研究旨在确定学生概念构建错误的过程、成因,以及学生如何通过在 SPLTV 材料中提供支架来克服问题。研究数据来自测试结果和对六名学生的访谈。从研究结果中获得的数据显示,学生在解决 SPLTV 教材上的数学问题时出现的错误包括:使用的方法需要与所教内容相匹配、计算出错、没有做出结论以及在前一阶段出错。研究发现,导致学生出错的因素是缺乏准确性、对概念的误解或需要更专注于例题。经过环境规定、解释和复习、重组和发展概念思维等脚手架阶段后,学生知道了自己的错误所在,并能加以改正。提供支架可以帮助学生在解决数学问题时尽量减少概念构建错误。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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