基于数学能力的初中生问题解决中的数学表征翻译

Erni Agustina Sari, S. Susanah
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引用次数: 0

摘要

本研究旨在分析口头问题的数学表象翻译。根据数学表象翻译能力任务的结果,选取了三名初中八年级学生作为研究对象。先给被试布置代数问题形式的作业,然后进行任务型访谈。用于分析解题和访谈结果的数学表象翻译指标包括四个阶段,即拆解源、初步协调、构建目标和确定等价。 研究结果表明,高能力学生解决问题的能力较强。在解包阶段,使用语言表征翻译来源,使用视觉和符号表征翻译协调理解,使用符号表征翻译构建目标,使用语言表征翻译确定适合性。有能力的学生解决问题的能力较强,但在协调初步理解和构建目标阶段仍有错误。学生使用语言和符号表征拆解翻译源,使用视觉和符号表征协调翻译的初步理解,使用符号表征构建翻译的目标,使用语言表征确定翻译的适宜性。能力低的学生无法继续解决问题。至于被试在拆解信息源时的表征翻译是使用语言表征,协调初步理解是使用视觉和符号表征,不构建目标目标,在确定是否适合翻译时使用语言表征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Translasi Representasi Matematis Siswa SMP dalam Menyelesaikan Masalah Ditinjau Berdasarkan Kemampuan Matematika
This study aims to analyze the translation of mathematical representations of verbal problems. Three grade VIII students of junior high school were selected as subjects based on the results of the task of translation ability of mathematical representation. Assignments in the form of algebraic problems were given to subjects and then task-based interviews were carried out. The translation indicator of the mathematical representation used to analyze the results of problem solving and interviews consists of four stages, namely unpacking the source, preliminary coordinator, constructing the target, and determining equivalence. The results of this study indicate that high ability students solve problems well. At the unpacking stage, the source is translated using verbal representations, coordinating understanding is translated using visual and symbolic representations, constructing the target goals is translated using symbolic representations, and in determining suitability is translated using verbal representations. Students with ability are solving problems well but there are still errors at the stage of coordinating initial understanding and constructing target goals. Students disassemble the source translated using verbal and symbolic representations, coordinate the initial understanding translated using visual and symbolic representations, construct the target goals translated using symbolic representations, and determine the suitability of being translated using verbal representations. Low ability students cannot continue solving problems. As for the translation of the subject's representation in disassembling the source is translated using verbal representations, coordinating the initial understanding is translated using visual and symbolic representations, not constructing the target goals, and using verbal representations when determining the suitability of being translated.
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