Students’ Mathematical Representation and Communication Ability in Mathematics Problem Solving

Pieter Zakarias Tupamahu, Tanwey Gerson Ratumanan, Christina Laamena
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Abstract

In learning mathematics, representation and communication ability are required by students to solve problems. The ability to represent is crucial for students to simplify the learning process, while students who have good mathematical communication abilities can easily solve a problem. This study applied a sequential mixed methods approach. Quantitative data was obtained from the results of the written test, then the ability of mathematical representation and communication in solving problems on linear program material was analyzed qualitatively. The participants of this study were 59 students from one of the senior high schools in Ambon, Indonesia. The research phase was begun with students being asked to solve mathematics problems and then researchers analyze representation and written communication ability. The largest percentage of students' results on the test was in the very low category of mathematical representation and communication ability. The results showed that students who had good representation and communication abilities would be able to solve problems. There were significant correlations and a very strong correlation between mathematical representation and communication ability with a Pearson Correlation coefficient of 0.915. After obtaining the test result, subjects were selected based on the category of ability to conduct interviews. Based on the results of the interview, the mathematical representation ability that the subject uses well will directly involve mathematical communication skills well, and vice versa.
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数学解题中学生的数学表达与沟通能力
在数学学习中,学生解决问题需要表现能力和沟通能力。表示能力对于学生简化学习过程至关重要,而具有良好数学沟通能力的学生可以轻松解决问题。本研究采用顺序混合方法。从笔试结果中获得定量数据,并对线性程序材料解题时的数学表达能力和沟通能力进行定性分析。本研究的参与者是来自印度尼西亚安汶市一所高中的59名学生。研究阶段从要求学生解决数学问题开始,然后研究人员分析表征和书面沟通能力。学生在数学表达和沟通能力方面的成绩占比最大。结果表明,具有良好表达能力和沟通能力的学生能够解决问题。数学表征与沟通能力之间存在显著相关,且相关性非常强,Pearson相关系数为0.915。得到测试结果后,根据访谈能力的类别选择被试。从访谈结果来看,被试运用良好的数学表达能力会直接涉及到数学沟通能力,反之亦然。
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