Student Semiotic Representation Skills in Solving Mathematics Problems

Wa Ode Dahiana, Tatang Herman, Elah Nurlaelah, Jerito Pereira
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Abstract

Representational transformation skills significantly influence students' success in problem-solving. Students who struggle with representational transformation skills are often less adept at utilizing mathematical ideas and relationships, and vice versa. Therefore, this study used a qualitative, descriptive-interpretive approach to examine students' semiotic representation skills when solving mathematical problems. The research was conducted in a Year 9 classroom in a public school in Bandung, Indonesia, with 30 participants divided into high, middle, and low-ability groups based on their level of mathematical ability. Data was collected using both test and interview techniques. The results indicated that students in the high and middle ability groups had adequate skills in algebraic treatment and conversion from algebra to geometry and verbal expression skills for constructing algebraic expressions and converting verbal statements into mathematical equations. In contrast, the low-ability group demonstrated a lack of semiotic representation skills in problem-solving. These findings highlight the importance of transformation and conversion skills in mathematical problem-solving activities and can be valuable information for teachers and observers of mathematics education.
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学生解决数学问题的符号表达技巧
表征转换技能显著影响学生解决问题的成功。在具象转换技能上挣扎的学生通常不太擅长利用数学概念和关系,反之亦然。因此,本研究采用定性、描述-解释的方法来考察学生在解决数学问题时的符号表征技能。这项研究是在印度尼西亚万隆一所公立学校的九年级教室里进行的,30名参与者根据他们的数学能力水平被分为高、中、低能力组。数据收集使用测试和访谈技术。结果表明,高、中能力组学生具有较强的代数处理和代数到几何转换能力,具有较强的语言表达能力,具有较强的构建代数表达式和将语言表述转化为数学方程的能力。相比之下,低能力组在解决问题时缺乏符号表征技能。这些发现强调了转换和转换技能在数学问题解决活动中的重要性,可以为数学教育的教师和观察者提供有价值的信息。
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