scholarly journals Error analysis in solving the linear equation system of three variables using Polya’s problem-solving steps

2021 ◽  
Vol 1882 (1) ◽  
pp. 012084
Author(s):  
R B Wiyah ◽  
Nurjanah
Keyword(s):  
Problem Solving ◽  
Error Analysis ◽  
Linear Equation ◽  
Equation System ◽  
Linear Equation System

scholarly journals PERBEDAAAN KEMAMPUAN PEMECAHAN MASALAH DAN BERPIKIR KREATIF MATEMATIKA SISWA YANG DIAJARKAN DENGAN MODEL PEMBELAJARAN PROBLEM BASED LEARNING DAN PEMBELAJARAN KOOPERATIF TIPE TWO STAY-TWO STRAY PADA MATERI SISTEM PERSAMAAN LINEAR TIGA VARIABEL KELAS X SMA

2019 ◽  
Vol 8 (2) ◽  
Author(s):  
Rani Endriani ◽  
Fibri Rakhmawati
Keyword(s):  
Problem Solving ◽  
Cooperative Learning ◽  
Linear Equation ◽  
Creative Thinking ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Sampling Technique ◽  
Equation System ◽  
Learning Model ◽  
Linear Equation System

This study aims to determine whether there are differences in the ability to solve problems and think creatively in mathematics students who are taught with the problem based learning model with the two-stay-two stray cooperative learning model in class X SMA Negeri 2 Range of TP 2018 / 2019. This research is research quantitative research with quasi-experimental type. This sampling technique uses the Cluster Random Sampling technique. The sample of this study was students of class X-1 and X-2 of SMA Negeri 2 Kisaran T.P 2018/2019, amounting to 60 students. The test instrument used to determine students' creative problem solving abilities and mathematical creative thinking is to use a test in the form of a description. Data analysis was performed by analysis of variance (ANAVA). These findings show: 1). There is a difference in the ability to solve mathematical problem of students who are taught with the Problem Based Learning model and the Two Stay-Two Stray cooperative learning model in the material of the Three Variable Linear Equation System; 2). There is no difference between students' creative thinking abilities in mathematics taught by the Problem Based Learning model and the Two Stay-Two Stray cooperative learning model in the Three Variable Linear Equation System material; 3). There is a difference in the ability of problem solving and mathematical creative thinking of students who are taught with the Problem Based Learning model and the Two Stay-Two Stray cooperative learning model in the material of the Three Variable Linear Equation System; 4). There is no significant interaction between the learning models used on the problem solving abilities and students' mathematical creative thinking in the Three Variable Linear Equation System material. The conclusions in this study explain that there are differences in students' problem solving abilities and creative mathematical thinking that are taught with the Problem Based Learning Model and the Two Stay-Two Stray Cooperative Learning Model.

scholarly journals Kemampuan siswa menyelesaikan masalah berbentuk soal cerita sistem persamaan linear ditinjau dari kemampuan penalaran

2020 ◽  
Vol 15 (2) ◽  
Author(s):  
Dimas Aditya Yudha Pradana ◽  
Budi Murtiyasa
Keyword(s):  
Problem Solving ◽  
Linear Equation ◽  
Junior High School ◽  
Mathematical Reasoning ◽  
Sampling Technique ◽  
Equation System ◽  
Data Presentation ◽  
Linear Equation System ◽  
Problem Solving Strategies ◽  
Reasoning Skills

Tujuan penelitian ini adalah mendeskripsikan kemampuan pemecahan masalah dalam menyelesaikan soal cerita sistem persamaan linear dua variabel ditinjau dari kemampuan penalaran matematis. Penelitian ini merupakan penelitian kualitatif dengan metode deskriptif. Subjek dalam penelitian adalah siswa kelas VIII C SMP Muhammadiyah 10 Surakarta tahun 2019/2020. Teknik pengumpulan data berupa hasil tes, wawancara dan dokumentasi. Teknik analisis data menggunakan reduksi data, penyajian data dan penarikan kesimpulan. Teknik pengambilan subjek berdasarkan tingkat kemampuan penalaran matematis siswa sehingga diperoleh 3 subjek kelas VIII C dengan kategori penalaran matematis rendah, sedang dan tinggi. Hasil penelitian menunjukkan bahwa (1) Siswa penalaran matematis rendah belum menentukan syarat cukup dan syarat perlu dalam memahami masalah, belum dapat menentukan strategi menyelesaikan masalah, belum dapat melaksanakan rencana dan belum dapat memeriksa perhitungan jawaban. Siswa penalaran matematis sedang mampu menentukan syarat cukup dan syarat perlu dalam memahami masalah, dapat menentukan strategi menyelesaikan masalah, belum dapat melaksanakan rencana dan belum dapat memeriksa perhitungan jawaban. Siswa penalaran matematis tinggi mampu menentukan syarat cukup dan syarat perlu dalam memahami masalah, mampu menentukan strategi menyelesaikan masalah, dapat melaksanakan rencana dan dapat memeriksa perhitungan jawaban. (2) Penyebab kesalahan siswa yaitu siswa tidak menuliskan semua informasi, tidak melakukan permisalan dan penulisan yang tidak sistematis. The students' ability to solve world problems of linear equation system in term of reasoning skillsAbstractThis study aimed to describe the students’ ability to solve word problems of the two-variable linear equation system in terms of mathematical reasoning skills. This study was qualitative research with descriptive methods. The subjects consisted of three students selected using purposive sampling technique from twenty grade-eight students of SMP Muhammadiyah 10 (Junior High School) Surakarta, Indonesia. The subjects' selection was based on the level of mathematical reasoning skills, namely low, medium, and high. We were collecting data using a test, interviews, and documentation. The stages of data analysis include data reduction, data presentation, and concluding. The results showed that (1) student with low mathematical reasoning was not able to understand problems, determine problem-solving strategies, implement plans, and locking-back the solution; (2) student with moderate mathematical reasoning was able to understand problems and determine problem-solving strategies, but has not been able to carry out plans and locking-back the solution; (3) student with high mathematical reasoning was able to understand problems, determine problem-solving strategies, carry out plans, and locking-back the solution; (4) the causes of student errors, namely students did not write down all important information in the problems, doing mathematical modeling, write unsystematic solutions, and did not conclude solutions correctly.

scholarly journals EXPLORING OF MULTI MATHEMATICAL REPRESENTATION CAPABILITY IN PROBLEM SOLVING ON SENIOR HIGH SCHOOL STUDENTS

2017 ◽  
Vol 75 (6) ◽  
pp. 591-598
Author(s):  
Nizaruddin Nizaruddin ◽  
Muhtarom Muhtarom ◽  
Yanuar Hery Murtianto
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Linear Equation ◽  
Equation System ◽  
Symbolic Representation ◽  
Necessary Condition ◽  
Mathematical Representation ◽  
School Students ◽  
Verbal Representation ◽  
Linear Equation System

The students’ multi-mathematical representation capability in problem solving is very important and interesting to discuss, specifically for problems in the two-variable linear equation system. Data was collected from 48 students using written tests and in-depth interviews with selected participants. The research findings showed that few students are using three representations namely symbolic - verbal - table representation, and symbolic representation, however most of the students are using three representations namely symbolic - verbal - images representation, and two representations namely symbolic – verbal representations, and the rest used symbolic representation. In the use of verbal representation, some students had difficulty composing words and all students encountered difficulties in the translational process from symbolic representation and verbal representation to other types of representation. The ability to understand concepts and relationships between mathematical concepts was found to be a necessary condition for the achievement of multi-mathematical representation capability. It is therefore recommended that teachers use a variety of different types of representation, such as verbal, tables and images, to enhance students' understanding of the material. Keywords: multiple representations, problem solving, two-variable linear equation system.

scholarly journals Pengembangan LKPD berbasis PBL untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa Kelas VIII pada Materi Sistem Persamaan Linear Dua Variabel

2021 ◽  
Vol 1 (4) ◽  
pp. 631-640
Author(s):  
Aflahul Ma'wa ◽  
Hapipi Hapipi ◽  
Muhammad Turmuzi ◽  
Syahrul Azmi
Keyword(s):  
Problem Solving ◽  
Linear Equation ◽  
Teaching And Learning ◽  
Problem Based Learning ◽  
Equation System ◽  
Design Development ◽  
School Year ◽  
Linear Equation System ◽  
Class Viii ◽  
Linear Equation Systems

The purpose of this study was to develop student worksheets based on PBL (Problem Based Learning) to improve the problem-solving abilities of class VIII students at MTs Hikmatusysyarief NW Salut Narmada for the 2020-2021 school year on two-variable linear equation systems. PBL-based LKPD (Problem Based Learning) is an LKPD that is arranged based on the phases of the PBL learning model. The development of this product aims to overcome the weaknesses in the teaching and learning process and overcome the weaknesses of students' problem-solving abilities. The research methodology used in developing PBL-based LKPD is 4D (Define, Design, Development, and Dissemination). Data collection techniques using interview guidelines and questionnaires. The result of the research is a product in the form of LKPD based on PBL (Problem Based Learning) on ​​the material of a two-variable linear equation system. The product has been declared valid with very good criteria by two validators. Based on the results of a limited trial on the use of the developed product, it is known that the PBL-based LKPD can improve the problem-solving ability of class VIII students of MTs Hikmatusysyarief NW Salut Narmada.

scholarly journals EXPLORING OF MULTI MATHEMATICAL REPRESENTATION CAPABILITY IN PROBLEM SOLVING ON SENIOR HIGH SCHOOL STUDENTS

2017 ◽  
Vol 75 (6) ◽  
pp. 591-598
Author(s):  
Nizaruddin Nizaruddin ◽  
Muhtarom Muhtarom ◽  
Yanuar Hery Murtianto
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Linear Equation ◽  
Equation System ◽  
Symbolic Representation ◽  
Necessary Condition ◽  
Mathematical Representation ◽  
School Students ◽  
Verbal Representation ◽  
Linear Equation System

The students’ multi-mathematical representation capability in problem solving is very important and interesting to discuss, specifically for problems in the two-variable linear equation system. Data was collected from 48 students using written tests and in-depth interviews with selected participants. The research findings showed that few students are using three representations namely symbolic - verbal - table representation, and symbolic representation, however most of the students are using three representations namely symbolic - verbal - images representation, and two representations namely symbolic – verbal representations, and the rest used symbolic representation. In the use of verbal representation, some students had difficulty composing words and all students encountered difficulties in the translational process from symbolic representation and verbal representation to other types of representation. The ability to understand concepts and relationships between mathematical concepts was found to be a necessary condition for the achievement of multi-mathematical representation capability. It is therefore recommended that teachers use a variety of different types of representation, such as verbal, tables and images, to enhance students' understanding of the material. Keywords: multiple representations, problem solving, two-variable linear equation system.

Teaching Materials of Problem-Based Linear Equation System with Two-Variables for Eighth-Grade Students in Junior High School

2021 ◽  
Vol 1 (1) ◽  
pp. 119-123
Author(s):  
Nurhayati Abbas ◽  
Nancy Katili ◽  
Dwi Hardianty Djoyosuroto
Keyword(s):  
High School ◽  
Linear Equation ◽  
Junior High School ◽  
Junior High ◽  
Equation System ◽  
Eighth Grade ◽  
Teaching Material ◽  
Teaching Materials ◽  
Linear Equation System ◽  
Eighth Grade Students

This research is motivated by the lack of mathematics teaching materials that can make students learn on their own. The teaching material can be created by teachers as they are the ones who possess the knowledge about their students’ characteristics. Further, learning materials are a set of materials (information, tools, or texts) that can aid teachers and students to carry out the learning process. The two-variable linear equation system (SPLDV) is one of the mathematics materials taught to eighth-grade students of junior high school; it contains problems related to daily life. However, it is found that this material is still difficult to master by most students. Therefore, it is necessary to develop the SPLDV teaching materials that can help students learn and solve problems as well as be used as examples by teachers in developing other materials. This research aimed to make problem-based SPLDV teaching materials. The research method refers to the Four-D Model by Thiagarajan, Semmel, and Semmel (1974). It consisted of defining, designing, developing, and disseminating. The results showed that problem-based SPLDV teaching materials could be used in learning activities as the students and the teachers had shown their positive responses after going through expert assessments. This study also suggested that the teachers use this teaching material and adopt teaching materials for other similar materials.

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