{"title":"根据Polya量规,学生在解决三角问题上的错误","authors":"Ega Gradini, Bettri Yustinaningrum, D. Safitri","doi":"10.31980/mosharafa.v11i1.1226","DOIUrl":null,"url":null,"abstract":"AbstrakSiswa mengalami kesulitan dalam memecahkan masalah Trigonometri yang berdampak pada rendahnya hasil belajar. Artikel ini bertujuan untuk menganalisis kesalahan siswa memecahkan masalah trigonometri ditinjau dari strategi pemecahan masalah Polya. Penelitian ini merupakan penelitian eksploratif menggunakan pendekatan kualitatif deskriptif. Penelitian dilaksanakan dengan melibatkan 1 guru dan 20 siswa SMA. Data penelitian ini dikumpulkan melalui tes dan wawancara. Tes terdiri atas 5 masalah Trigonometri. Wawancara semi terstruktur diberikan pada; (1) guru untuk mengetahui kesulitan yang dialami siswa selama proses pembelajaran Trigonometri, dan (2) siswa untuk mengidentifikasi kesalahan dalam memecahkan masalah. Data dianalisis dengan tahapan berikut; (1) jawaban siswa diperiksa lalu di hitung skor untuk setiap masalah, (2) di identifikasi jenis kesalahan siswa pada setiap masalah, (3) persentase banyaknya siswa dihitung pada tiap jenis kesalahan, dan (4) siswa yang melakukan kesalahan diwawancara untuk mengetahui penyebab dan jenis kesalahan. Penelitian ini menemukan bahwa kesalahan siswa dalam memecahkan masalah Trigonometri adalah: (i) Kesalahan memahami masalah Trigonometri (57,73%); (ii) Kesalahan dalam merencanakan strategi (9,27%); (iii) Kesalahan menerapkan solusi (15,83%); dan (iv) kesalahan dalam memeriksa kembali (17,16%). Student Errors in Solving Trigonometry Problems in View from Polya’ Problem Solving IndicatorsAbstractStudents have difficulty in solving trigonometric problems which have an impact on low learning outcomes. This article aims to analyze students' errors in solving trigonometric problems in terms of Polya's problem-solving strategy. This research is exploratory research using a descriptive qualitative approach. The research was conducted by involving 1 teacher and 20 high school students. The data of this study were collected through tests and interviews. The test consists of 5 Trigonometry problems. Semi-structured interviews were given on; (1) teachers to find out the difficulties experienced by students during the Trigonometry learning process, and (2) students to identify errors in solving problems. The data were analyzed in the following steps; (1) student answers are checked and then the score is calculated for each problem, (2) the types of student errors are identified in each problem, (3) the percentage of the number of students is calculated for each type of error, and (4) students who make mistakes are interviewed to find out the cause and the type of error. This study found that students' errors in solving Trigonometric problems were: (i) Misunderstanding of Trigonometric problems (57.73%); (ii) Errors in devising a plan (9.27%); (iii) Error in performing the plan (15.83%); and (iv) errors in looking back/ confirmation of the answer (17.16%).","PeriodicalId":102966,"journal":{"name":"Mosharafa: Jurnal Pendidikan Matematika","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Kesalahan Siswa Dalam Memecahkan Masalah Trigonometri Ditinjau dari Indikator Polya\",\"authors\":\"Ega Gradini, Bettri Yustinaningrum, D. Safitri\",\"doi\":\"10.31980/mosharafa.v11i1.1226\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"AbstrakSiswa mengalami kesulitan dalam memecahkan masalah Trigonometri yang berdampak pada rendahnya hasil belajar. Artikel ini bertujuan untuk menganalisis kesalahan siswa memecahkan masalah trigonometri ditinjau dari strategi pemecahan masalah Polya. Penelitian ini merupakan penelitian eksploratif menggunakan pendekatan kualitatif deskriptif. Penelitian dilaksanakan dengan melibatkan 1 guru dan 20 siswa SMA. Data penelitian ini dikumpulkan melalui tes dan wawancara. Tes terdiri atas 5 masalah Trigonometri. Wawancara semi terstruktur diberikan pada; (1) guru untuk mengetahui kesulitan yang dialami siswa selama proses pembelajaran Trigonometri, dan (2) siswa untuk mengidentifikasi kesalahan dalam memecahkan masalah. Data dianalisis dengan tahapan berikut; (1) jawaban siswa diperiksa lalu di hitung skor untuk setiap masalah, (2) di identifikasi jenis kesalahan siswa pada setiap masalah, (3) persentase banyaknya siswa dihitung pada tiap jenis kesalahan, dan (4) siswa yang melakukan kesalahan diwawancara untuk mengetahui penyebab dan jenis kesalahan. Penelitian ini menemukan bahwa kesalahan siswa dalam memecahkan masalah Trigonometri adalah: (i) Kesalahan memahami masalah Trigonometri (57,73%); (ii) Kesalahan dalam merencanakan strategi (9,27%); (iii) Kesalahan menerapkan solusi (15,83%); dan (iv) kesalahan dalam memeriksa kembali (17,16%). Student Errors in Solving Trigonometry Problems in View from Polya’ Problem Solving IndicatorsAbstractStudents have difficulty in solving trigonometric problems which have an impact on low learning outcomes. This article aims to analyze students' errors in solving trigonometric problems in terms of Polya's problem-solving strategy. This research is exploratory research using a descriptive qualitative approach. The research was conducted by involving 1 teacher and 20 high school students. The data of this study were collected through tests and interviews. The test consists of 5 Trigonometry problems. Semi-structured interviews were given on; (1) teachers to find out the difficulties experienced by students during the Trigonometry learning process, and (2) students to identify errors in solving problems. The data were analyzed in the following steps; (1) student answers are checked and then the score is calculated for each problem, (2) the types of student errors are identified in each problem, (3) the percentage of the number of students is calculated for each type of error, and (4) students who make mistakes are interviewed to find out the cause and the type of error. This study found that students' errors in solving Trigonometric problems were: (i) Misunderstanding of Trigonometric problems (57.73%); (ii) Errors in devising a plan (9.27%); (iii) Error in performing the plan (15.83%); and (iv) errors in looking back/ confirmation of the answer (17.16%).\",\"PeriodicalId\":102966,\"journal\":{\"name\":\"Mosharafa: Jurnal Pendidikan Matematika\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mosharafa: Jurnal Pendidikan Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31980/mosharafa.v11i1.1226\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mosharafa: Jurnal Pendidikan Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31980/mosharafa.v11i1.1226","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
摘要
学生抽象在解决三角学问题上遇到困难,导致学习成绩较低。这篇文章的目的是分析学生在解决两极分化问题上所犯的错误。该研究是利用描述性定性方法进行的探索性研究。这项研究涉及一名教师和20名高中生。这些研究数据是通过测试和采访收集的。测试包含五个三角问题。进行半结构性访谈;(1)教师了解学生在三角学习过程中遇到的困难,(2)学生找出解决问题的错误。数据是按照以下顺序分析的;(1)学生对每个问题的答案进行核对,(2)识别每个问题的学生错误类型,(3)学生的百分比计算在每一种错误中,(4)在面试中犯错误的学生找出原因和错误类型。本研究发现,学生解决三角问题的错误是:(i)误解三角问题的错误(57.73%);(ii)战略失误(9.27%);(iii)应用解决方案(15.83%);和(iv)复查错误(17.16%)。从波利亚的观点来看,解决三角学问题的学生在解决三角学问题时遇到了困难这篇文章的目的是分析学生的错误,解决政治问题中的三角问题。这项研究是探索研究,使用的是descriptive qualitative approach。这项研究是由1名教师和20名高中学生组成的。这些研究的数据是通过测试和面试收集的。五种三角学问题的测试。半支柱的面试正在进行;(1)教师在三角学习过程中发现不同的经验,(2)学生发现解决问题的错误。跟踪步骤中的数据分析;(1)学生的答案是每检查然后的分数是计算问题,(2)每types of学生错误是identified》问题percentage of the当家》,(3)学生是错误的计算为每型,和(4)学生让错误是谁接受到发现《因为与错误的类型。这项研究发现,学生解决三角测量问题的错误:(i)问题三角测量问题的问题(57.73%);计划出错(9.27%);计划的错误(15.83%);并(四)errors回顾/确认答案(16%)。
Kesalahan Siswa Dalam Memecahkan Masalah Trigonometri Ditinjau dari Indikator Polya
AbstrakSiswa mengalami kesulitan dalam memecahkan masalah Trigonometri yang berdampak pada rendahnya hasil belajar. Artikel ini bertujuan untuk menganalisis kesalahan siswa memecahkan masalah trigonometri ditinjau dari strategi pemecahan masalah Polya. Penelitian ini merupakan penelitian eksploratif menggunakan pendekatan kualitatif deskriptif. Penelitian dilaksanakan dengan melibatkan 1 guru dan 20 siswa SMA. Data penelitian ini dikumpulkan melalui tes dan wawancara. Tes terdiri atas 5 masalah Trigonometri. Wawancara semi terstruktur diberikan pada; (1) guru untuk mengetahui kesulitan yang dialami siswa selama proses pembelajaran Trigonometri, dan (2) siswa untuk mengidentifikasi kesalahan dalam memecahkan masalah. Data dianalisis dengan tahapan berikut; (1) jawaban siswa diperiksa lalu di hitung skor untuk setiap masalah, (2) di identifikasi jenis kesalahan siswa pada setiap masalah, (3) persentase banyaknya siswa dihitung pada tiap jenis kesalahan, dan (4) siswa yang melakukan kesalahan diwawancara untuk mengetahui penyebab dan jenis kesalahan. Penelitian ini menemukan bahwa kesalahan siswa dalam memecahkan masalah Trigonometri adalah: (i) Kesalahan memahami masalah Trigonometri (57,73%); (ii) Kesalahan dalam merencanakan strategi (9,27%); (iii) Kesalahan menerapkan solusi (15,83%); dan (iv) kesalahan dalam memeriksa kembali (17,16%). Student Errors in Solving Trigonometry Problems in View from Polya’ Problem Solving IndicatorsAbstractStudents have difficulty in solving trigonometric problems which have an impact on low learning outcomes. This article aims to analyze students' errors in solving trigonometric problems in terms of Polya's problem-solving strategy. This research is exploratory research using a descriptive qualitative approach. The research was conducted by involving 1 teacher and 20 high school students. The data of this study were collected through tests and interviews. The test consists of 5 Trigonometry problems. Semi-structured interviews were given on; (1) teachers to find out the difficulties experienced by students during the Trigonometry learning process, and (2) students to identify errors in solving problems. The data were analyzed in the following steps; (1) student answers are checked and then the score is calculated for each problem, (2) the types of student errors are identified in each problem, (3) the percentage of the number of students is calculated for each type of error, and (4) students who make mistakes are interviewed to find out the cause and the type of error. This study found that students' errors in solving Trigonometric problems were: (i) Misunderstanding of Trigonometric problems (57.73%); (ii) Errors in devising a plan (9.27%); (iii) Error in performing the plan (15.83%); and (iv) errors in looking back/ confirmation of the answer (17.16%).