Student’s obstacles in learning surface area and volume of a rectangular prism related to mathematical representation ability

Gitayani G C Safitri, D. Darhim, D. Dasari
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Abstract

The surface area and volume of cubes and cuboids are mathematical concepts related to everyday life. However, many students need help learning this concept. This study aims to analyze the learning obstacles junior high school students encounter when solving mathematical representation problems on the concept of surface area and volume of cubes and cuboids. This study uses an interpretive paradigm which is part of Didactical Design Research (DDR). Students at one of the public junior high schools in Jambi City were given six questions related to mathematical representation after the researchers conducted classroom observations, which were then followed by interviews with students with high, moderate, and low representation abilities. Data analysis techniques include data reduction, display, and conclusion drawing and verification. The results showed that students experienced three learning obstacles: ontogenic, epistemological, and didactical. Furthermore, the results of this study can be a consideration for teachers to create learning designs for surface area and volume of cubes and cuboids that can anticipate student learning obstacles and develop students' mathematical representation abilities.
学生在学习矩形棱镜的表面积和体积方面的障碍与数学表示能力有关
立方体和长方体的表面积和体积是与日常生活有关的数学概念。然而,许多学生需要帮助来学习这个概念。本研究旨在分析初中生在解决立方体和长方体的表面积和体积概念的数学表示问题时遇到的学习障碍。本研究采用了教学法设计研究(DDR)的解释范式。占碑市一所公立初中的学生在进行了课堂观察后,被问了六个与数学表征相关的问题,然后对表征能力高、中、低的学生进行了访谈。数据分析技术包括数据简化、显示、结论绘制和验证。结果表明,学生经历了三个学习障碍:本体障碍、认识论障碍和教学障碍。此外,本研究的结果可为教师设计立方体和长方体的表面积和体积的学习设计提供参考,以预测学生的学习障碍,培养学生的数学表征能力。
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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