学生解决数学应用题的代表性过程

Rully Charitas, Indra Prahmana, I. Akib
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引用次数: 0

摘要

数学中的表示是学生理解和应用数学思想的基础。本研究旨在描述学生在解决文字问题时如何产生不同的表征。在解决文字问题时,学生进行口头、书面表征、形象表征和符号表征。本研究采用定性描述性研究,涉及印度尼西亚望加锡一所私立学校的75名五年级学生。情境和参与者:从75名参与者中选出两名受试者,根据完成的单词问题产生不同的表征,包括口头-书面表征、图片表征和符号表征。使用的工具是文字问题和访谈纸,尽管其他一些学生只使用一种或两种形式的数学表示。本研究结果表明,学生从产生的不同表征(包括口头-书面表征、形象表征和符号表征)开始,进行翻译、整合、解决、评价的过程,直到找到答案。此外,其他发现是学生的数学素养,这极大地帮助学生在解决文字问题的表征过程。研究发现,学生产生了三种表征形式:口头-书面表征、形象表征和符号表征。进而通过翻译、整合、解决、评价四个表征过程,形成了三种表征形式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Students’ Representative Processes in Solving Mathematical Word Problems
Representation in mathematics is essential as a basis for students to be able to understand and apply mathematical ideas. This study aims to describe how students produce different representations in solving word problems. In solving word problems, students make verbal–written representations, image representations, and symbol representations. This research uses a qualitative descriptive study involving 75 fifth-grade students at one of the private schools in Makassar, Indonesia. Setting and Participants: two subjects were chosen from 75 participants based on the completion of word problems that resulted in different representations, including verbal–written representations, picture representations, and symbol representations. The instruments used were word problems and interview sheets, although some other students only used one or two forms of mathematical representation. The results of this study indicate that, from the different representations produced that include verbal–written representations, image representations, and symbol representations, students carry out the process of translation, integration, solution, and evaluation until finding answers. In addition, other findings were students’ ‘mathematical literacy which immensely helped the students’ representation process in solving word problems. three forms of representation were found to be produced by students: verbal–written, image representation, and symbol representation. Furthermore, the three forms of representation were created through carrying out four representation processes, namely the processes of translation, integration, solution, and evaluation.
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