对形象化理论的数学表现的分析是以一种思维方式的特征为基础的

Dwi Oktaviana, Abdillah Abdillah
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引用次数: 0

摘要

当被问到需要表现方面的问题时,学生的能力会有所不同。这是因为数学表征能力受到学生思维方式特点的影响。本研究的目的是从思维方式的特点来分析学生在图论中的数学表示能力。这类研究采用案例研究形式的定性研究。研究对象为IKIP PGRI Pontianak第六学期的B班学生,其中一名学生采用有目的抽样技术选择了具体序列(SK)、抽象序列(SA)、具体随机(AK)和抽象随机(AA)的思维方式。本研究的主要工具是研究者,必要的辅助工具包括数学表征能力测试题、思维方式特征问卷和访谈指南。为了测试数据的有效性,使用了三角测量技术。数据分析采用数据约简、数据表示和结论等方法。研究结果表明,SK和Sa思维方式的学生完成了数学表征能力的所有指标,即语言、视觉和符号表征,因为他们的思维方式详细且掌握了概念,而AA和AK思维的学生由于思维方式的非结构化和对概念的不掌握,只达到了言语表征的指标。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analisis Kemampuan Representasi Matematis Mahasiswa pada Teori Graph Ditinjau dari Karakteristik Cara Berpikir
Students abilities differ when given questions that require representing aspects to appear. This is because the ability of mathematical representation is influenced by the characteristics of the student way of thinking. The purpose of this study was to analyze the mathematical representation abilities of students in graph theory in terms of the characteristics of the way of thinking. This type of research uses qualitative research in the form of case studies. The research subjects were class B students in the sixth semester of IKIP PGRI Pontianak with one student taken for ways of thinking in Concrete Sequences (SK), Abstract Sequences (SA), Concrete Random (AK), and Abstract Random (AA) with selected using purposive sampling technique. The main instruments in this research is the researcher and the necessary supporting instruments include test questions on mathematical representation abilities, questionnaires on the characteristics of ways of thinking, and interview guidelines. To test the validity of the data used triangulation techniques. Data analysis was performed by data reduction, data presentation and conclusion. The results of the study showed that students with the SK and Sa way of thinking had fulfilled all the indicators of mathematical representation abilities, namely verbal, visual, and symbolic representations because their way of thinking was detailed and mastered the concept, while students with the AA and AK thinking only met the indicators of verbal representation due to the unstructured way of thinking and not mastering the concept.
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