数学解题步骤中学生思维结构的反思策略

E. Susanti
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引用次数: 0

摘要

思考是一个理解日常生活中遇到的各种事情、找到某些观点或想法、做出判断和解决问题的过程。教师在学习数学时必须做的任务之一是帮助学生传达解决问题时所经历的认知过程。在解决学生问题时,思维错误和算法尚未完成。但在现实中,学生在解决数学问题时仍然存在导致错误的困难。本研究描述了在解决数学问题时纠正学生误解的思维反思策略。这类研究是定性的描述性研究。研究数据包括学生的回答、大声思考的结果和半结构化访谈的结果。结果表明,解决问题能力低的学生在仅仅理解问题的阶段就经历了同化。相比之下,在制定战略和执行计划的现场,出现了通融现象。学生会攻击,因为学生可以将问题分解成更简单的问题,但需要反思来连接数学材料来解决问题。此外,学生在执行解决数学问题的计划时,还需要思考纠正错误和完成不完整的算法。关键词:反思策略、思维结构、数学问题解决
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Reflection Strategies on Students' Thinking Structures in the Mathematical Problem Solving Steps
Thinking is a process of understanding various things encountered in everyday life, finding certain opinions or ideas, making judgments, and solving problems. One of the tasks teachers must do in learning mathematics is to help students convey the cognitive processes experienced when solving issues. The thinking errors are and the algorithms that are not yet complete in solving student problems. But in reality, students still have difficulties that cause errors in solving mathematical problems. This study describes the reflection strategy on thinking to correct students' misconceptions in solving mathematical problems. This type of research is descriptive research with a qualitative approach. Research data consists of student answers, results think aloud, and the results of semi-structured interviews. The results showed that students with low problem-solving abilities experienced assimilation at the stage of understanding the problem only. In contrast, at the scene of developing strategies and implementing plans, accommodation occurred. The students will attack because students can decompose problems into simpler ones but require reflection to connect mathematical material to solve problems. In addition, students also need thinking to correct errors and complete incomplete algorithms when carrying out plans for solving mathematical problems. Keywords: reflection strategy, thinking structure, mathematical problem solving  
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