Fairuz Aufa Rohadatul Aisy, Dinawati Trapsilasiwi, S. Setiawani
{"title":"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","authors":"Fairuz Aufa Rohadatul Aisy, Dinawati Trapsilasiwi, S. Setiawani","doi":"10.26740/JRPIPM.V5N1.P33-43","DOIUrl":null,"url":null,"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","PeriodicalId":288106,"journal":{"name":"Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Profil Kemampuan Pemecahan Masalah Matematika Siswa berdasarkan Tahapan Polya Ditinjau dari Gaya Kognitif Reflektif Dan Impulsif\",\"authors\":\"Fairuz Aufa Rohadatul Aisy, Dinawati Trapsilasiwi, S. Setiawani\",\"doi\":\"10.26740/JRPIPM.V5N1.P33-43\",\"DOIUrl\":null,\"url\":null,\"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. 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Profil Kemampuan Pemecahan Masalah Matematika Siswa berdasarkan Tahapan Polya Ditinjau dari Gaya Kognitif Reflektif Dan Impulsif
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