Profil Kemampuan Pemecahan Masalah Matematika Siswa berdasarkan Tahapan Polya Ditinjau dari Gaya Kognitif Reflektif Dan Impulsif

Fairuz Aufa Rohadatul Aisy, Dinawati Trapsilasiwi, S. Setiawani
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Abstract

The research objective was to describe the profile of students' mathematical problem solving abilities based on Polya's stages in terms of reflective cognitive style and impulsive cognitive style. This type of research is a qualitative descriptive study. Data collection methods in this study were tests and interviews. The instruments in this study were the MFFT test and problem-solving tests. The subjects in this study were students of class IXD SMP Nuris Jember with 25 students consisting of 6 fast accurate students, 5 slow inaccurate students, 10 reflective students and 4 impulsive students. This study focuses on reflective and impulsive students. The results showed that at the stage of understanding the problem, reflective students were able to write down what was known and asked the questions using sentences based on their understanding. Impulsive students are able to write down what is known and be asked on the questions using sentences that are similar to the questions. At the planning stage, reflective students are able to model problems into mathematical models and write settlement plans and write settlement methods, while impulsive students are able to model problems but do not write completion plans and do not write settlement methods. At the stage of implementing the plan, reflective students tend to solve the problem to the end correctly. Impulsive students are able to solve problems until the end but the results obtained are wrong, impulsive students also experience errors in counting and tend to rush in solving problems. At the re-examination stage, reflective students are able to determine the final solution by utilizing data at the planning stage and are able to explain the final conclusion of the problem but do not write down the solution, while impulsive students have not been able to determine the final solution by utilizing data at the planning stage and have not been able to explain the final conclusion problems and not writing solutions. In general, reflective students in solving problems are more thorough and considerate so that the resulting answers are more accurate. Students with impulsive cognitive style in solving problems tend to rush without examining the problem in depth, so that many make mistakes in the answers. Keywords: Problem Solving, Polya Stages, Reflective and Impulsive Cognitive Style
基于波利亚阶段的学生的数学解决能力概况,反映了反射和冲动的认知风格
本研究的目的是描述基于波利亚阶段的反思性认知风格和冲动性认知风格的学生数学解题能力概况。这种类型的研究是定性描述性研究。本研究的数据收集方法为测试和访谈。本研究使用的工具是MFFT测试和问题解决测试。本研究的被试为IXD SMP Nuris Jember班的学生,共25名学生,其中快速准确学生6名,缓慢不准确学生5名,反思学生10名,冲动学生4名。这项研究的重点是反思和冲动的学生。结果表明,在理解问题的阶段,反思型学生能够写下已知的内容,并根据自己的理解使用句子提出问题。冲动的学生能够写下已知的内容,并用与问题相似的句子来回答问题。在规划阶段,反思型学生能够将问题建模成数学模型,写出解决方案和解决方法,而冲动型学生能够对问题进行建模,但不会写出完成方案和解决方法。在实施计划阶段,反思型学生倾向于正确地将问题解决到底。冲动型学生能够解决问题直到最后,但得到的结果是错误的,冲动型学生也会出现计数错误,并倾向于匆忙解决问题。在复试阶段,反思型学生能够在计划阶段利用数据确定最终的解决方案,能够解释问题的最终结论但不写下解决方案,而冲动型学生无法在计划阶段利用数据确定最终的解决方案,无法解释最终的结论问题而不写下解决方案。一般来说,反思型的学生在解决问题时更细致周到,因此得出的答案也更准确。在解决问题时,具有冲动性认知风格的学生往往没有深入研究问题就匆忙行事,从而导致许多学生在答案中出现错误。关键词:问题解决,多阶段,反思性和冲动性认知风格
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