Variable Linear Equation System Research Articles

Junior High School Students’ Mathematical Problem Solving Ability on Two Variable Linear Equation System

Junior High School Students’ Mathematical Problem Solving Ability on Two Variable Linear Equation System

Opportunities and Challenges of Implementing a Jigsaw Type Cooperative Learning Model on Two Variable Linear Equation System Material

This study aims to describe the opportunities and challenges of implementing Jigsaw-type cooperative learning on the material of Two Variable Linear Equation Systems. The subjects of this study were all 27 grade VIII students of Yedam Abepura Junior High School. Data collection techniques use data triangulation, namely by observation techniques, student worksheet data and interviews. The results of this study showed that the opportunity to apply Jigsaw-type cooperative learning to the material of the two-variable linear equation system received a positive response from all students, enthusiastic and enthusiastic students in doing tests on worksheets based on observations. The implementation process went well and smoothly and was completed on time. For satisfaction, teachers and students are quite satisfied with the results obtained. The challenge in implementing this Jigsaw type cooperative learning model is that there are differences in students' basic academic abilities or in other words, students' basic abilities, especially Mathematics learning, vary so that when learning the Jigsaw model cooperative model, students who do not understand need to get extra explanations with additional long time compared to students who already have a good academic ability foundation finish faster and wait queue of friends who have not moved from another group during explaining the material. Then the odd number of students also causes difficulty dividing in groups evenly.

ANALISIS KEMAMPUAN REPRESENTASI MATEMATIS SISWA ABK (SLOW LEARNER) PADA MATERI SISTEM PERSAMAAN LINEAR DUA VARIABEL (SPLDV)

This article aims to determine the mathematical representation ability of students with special needs with the type of slow learner on variable linear equation system material at the junior high school level grade VIII Syech Quro at SMPI Al – Mumtaaz. The method used in this article is descriptive qualitative with the analysis used in this study is descriptive analysis on slow learners in the class. The population and sampling technique for this article is using the Purposive Sampling technique which uses a sampling technique with certain considerations, namely choosing 3 students including 2 boys and 1 girl. To demonstrate students' ability to represent story problems from the Two Variable Linear Equation System into mathematical and graphic forms.

Determination of chemical composition in Tri-Metal Alloys: a three variable linear equation system approach

To enhance the bridge between macroscopic and symbolic representations in chemistry, we crafted a laboratory module focusing on a three-equation system for chemical composition analysis. Students assess the composition of copper, tin, and aluminum alloys by measuring two properties: density and heat capacity. These non-destructive procedures fit within standard laboratory session durations. After gathering data, students tackle three linear equations linking element mass ratio to alloy composition, density, and heat capacity. By pooling data from various samples, the class achieves a comprehensive understanding. This method aligns with objectives for laboratory education, emphasizing scientific reasoning, practical skills, and subject mastery. Students’ results deviated by +/-10% from actual alloy compositions. The discussion of student-gathered data and results supports the feasibility of the laboratory experience for its implementation in introductory chemistry laboratories.

PERBEDAAN MODEL CONTEXTUAL TEACHING AND LEARNING BERPARADIGMA HUMANISTIK DAN MODEL CONTECTUAL TEACHING AND LEARNING BERPARADIGMA KEARIFAN LOKAL TERHADAP KEMAMPUAN PEMECAHAN MASALAH PESERTA DIDIK KELAS VIII SMP MARIA GORETTI KABANJAHE T.P.2019/2020

This research is an experimental research with the type of research used is quasi-experimental research (pseudo-experiment) which aims to determine whether there are differences in the mathematical problem solving ability of students taught with the contextual teaching and lerning model with a humanistic paradigm with the contextual teaching and learning model with a local wisdom paradigm. The population in this study is the VIII grade of Maria Goretti Kabanjahe Junior High School T.P 2019/2020. After testing the posttest data on students' problem solving ability statistically, it was found that -count < table or tc> table with dk = 40 and dk = 60, namely (-0.997) < table (1.671) so that Ho was rejected and ha was accepted. So it can be concluded that the mathematical problem solving ability of students taught with Contextual Teaching and Learning with Local wisdom paradigm is higher than the mathematical problem solving ability of students taught using Contextual Teaching and Learning with Humanistic Paradigm on the topic of two variable linear equation system. Keywords: Creative Problem Solving, Concept Understanding

Analisis Kemampuan Pemecahan Masalah Matematika Mahasiswa Berdasarkan Gender

This study aims to analyze students' math problem-solving skills based on gender. The subjects involved were 6 students of the Mathematics Education Department, where three of them were female and the rest were male. The instrument used is a description question on the topic of Three Variable Linear Equation System that adapted through PISA standard questions. The analytical tool used is the problem-solving stage introduced by Polya. The results showed that at the stage of understanding the problem, male students were more able to understand the questions and some of them were able to rewrite them based on their own words. At the stage of making a solution plan, all male subjects could make a mathematical model of the given problem as well as for two female subjects, while there was one female subject who was unable to make a mathematical model. At the stage of carrying out the plan, the three male subjects were again able to complete the plan properly, while the female subject still had difficulty solving the problems given. At the review stage, all male subjects had re-examined, while all female subjects did not reach this stage. In general, male subjects have better problem solving abilities than female subjects.

Analisis Kemampuan Pemecahan Masalah Matematika Mahasiswa Berdasarkan Gender

This study aims to analyze students' math problem-solving skills based on gender. The subjects involved were 6 students of the Mathematics Education Department, where three of them were female and the rest were male. The instrument used is a description question on the topic of Three Variable Linear Equation System that adapted through PISA standard questions. The analytical tool used is the problem-solving stage introduced by Polya. The results showed that at the stage of understanding the problem, male students were more able to understand the questions and some of them were able to rewrite them based on their own words. At the stage of making a solution plan, all male subjects could make a mathematical model of the given problem as well as for two female subjects, while there was one female subject who was unable to make a mathematical model. At the stage of carrying out the plan, the three male subjects were again able to complete the plan properly, while the female subject still had difficulty solving the problems given. At the review stage, all male subjects had re-examined, while all female subjects did not reach this stage.

IMPLEMENTASI MODEL PEMBELAJARAN PROBLEM BASED LEARNING (PBL) KURIKULUM 2013 UNTUK MENINGKATKAN HASIL BELAJAR DAN AKTIVITAS SISWA PADA MATERI SISTEM PERSAMAAN LINIER DUA VARIABEL KELAS VIII.8 SMP NEGERI 21 BATAM

The purpose of this study is to improve student learning outcomes and activities in the implementation of the 2013 curriculum Problem Based Learning (PBL) Learning Model in grade VIII.8. The author conducted research at SMP Negeri 21 Batam grade VIII.8 Mathematics subject for the 2020/2021 academic year. This Classroom Action Research uses qualitative Descriptive Techniques in two learning cycles through observation and tests of the ability to solve SPLDV problems Mastery of the Two Variable Linear Equation System material in grade VIII.8 SMP Negeri 21 Batam shows an increase, this can be shown by the average daily test results, but in cycle 1 (before using the PBL model) which is 63 and 69 and after using the PBL model to 70 in the cycle, While in cycle 2 it becomes 78. Based on the study of theory and frame of mind proposed by researchers, as well as the results of research conducted on grade VIII.8 students, it can be concluded that the Problem Base Learning (PBL) Learning Model can improve learning outcomes and student activeness in class during learning. Based on observations, student activities in implementing the PBL learning model have increased, namely the good category. In the initial data of activity observations of 50% sufficient quality, in cycle 1 it rose to 54% sufficient quality, and for cycle 2 it increased but not significantly by 67%.

Pengembangan Media Pembelajaran Berbasis Powtoon Bermuatan Karakter terhadap Kemampuan Berpikir Kritis pada Materi Sistem Persamaan Linear Dua Variabel

This study aims to produce powtoon-based learning video learning media to improve students' critical thinking skills in class VIII two-variable linear equation system (SPLDV) material at SMPN 2 Putussibau which achieves a level of validity, practicality, and efficiency. This research method uses research and development involving 3 material validator experts and 3 media validator experts. The subjects of this study were grade VIII students of SMPN 2 Putussibau totaling 14 students. Data collected validation sheets, student response questionnaires, teacher response questionnaires, and tests of students' critical thinking skills. The results of this study showed that the learning video media assessed validity 86% (very valid), practical assessment 84% (very practical) and effectiveness assessment 85.7% (very effective). So, it can be stated that animated videos are suitable to be used as learning media for grade VIII SMPN 2 Putussibau regarding the subject of Two Variable Linear Equation System (SPLDV).

IMPLEMENTATION OF PROBLEM BASED LEARNING (PBL) MODEL TO IMPROVE STUDENT'S CRITICAL THINKING ABILITY IN TWO VARIABLE LINEAR EQUATION SYSTEM MATERIALS

<p><em>The aim of the research is to find out the application of the problem based learning model to students' critical thinking skills. The type of research used is quantitative. The research design used was the One Group Pretest-Posttest Design. The results of the implementation research using the problem based learning model showed that at the first meeting 75.93% had good criteria and 85.19% the second meeting had very good criteria, the results of data analysis using the t-test, obtained a t_count value of 6.60 and a t_table of 2.045 with a significant level of 5%, because (t_count > t_table) it can be said that the alternative hypothesis (Ha) is accepted and the null hypothesis (Ho) is rejected. So it can be said that the application of the problem based learning model can improve students' critical thinking skills. The calculation of the completeness of student learning outcomes after using the problem based learning model is 82.76% above the specified classical completeness of 70%. The results of the student response questionnaire calculations as a whole gave a positive response to the problem based learning model in the material of the Two Variable Linear Equation System (SPLDV) which was applied ranging from good to very good criteria.</em></p>

The Implementation of Scientific Approach to Increase Mathematical Problem Solving Ability on Junior High School Students

Mathematics is a field of study that plays an important role in the world of education. Mathematics as a science that must be mastered because it supports and is interelated with other subjects. The background of writing this article is the low ability of students to solve mathematical problems. This research was conducted because there are still many teacher centered learning acitivities.To improve the ability to solve the need for an approach model that an be developed to position students as learning centers is the application of scientific models.the scientific approach is an approach aimed at students. In learning activities direct students to be active and understand the concept. This study aims to apply a scientific approach to Dharma Kartini Junior High School students. The research target was class VIII with a 28 students on the subject matter of a two variable linear equation system. The research conducted was classroom action research.Classroom action research trains critical, systematic thinking, starting from planning, implementing, observing and reflecting. This study provided instruments, namely pre-test and post-test in the form of 5 questions of problem solving abilities to students which were carried out in 2 cycles. The research results obtained for the first cycle showed that students mastery of mathematical concepts was still not good. Therefore, proceed to the next stage, namely the second cycle. Based on the implementation of learning in the second cycle, a very significant increase was obtained. Thus it can be concluded that the scientific approach can be applied in learning to improve problem solving abilities in the matter of a system of two variable linear equations.

Implementation Of Problem Based Learning Models In Learning Systems Of Linear Equations Three Variables

This study investigates whether the use of the Problem-Based Learning model on the Three Variable Linear Equation System increases student learning outcomes. This investigation is quasi-experimental "Quasi Experimental Design". Class X-A as an experimental class with 17 students and X-B as a control class with 17 students at SMA Negeri 2 Tondano in the odd semester of the academic year 2022/2023 comprised the study's sample. An evaluation about the material description of a three-variable system of linear equations served as the research instrument. A pretest and a posttest are used to capture data from the experimental and control groups, respectively. Using the t-test statistic to test the null hypothesis, we obtain tcount = 12.64 and ttable = 2.037 at a significance level of 0.05, thus rejecting H0. The Problem-Based Learning model improved student learning outcomes, according to the study's findings.

Analisis Kesulitan Siswa Dalam Pemecahan Masalah Matematis Pada Materi Sistem Persamaan Linear Dua Variabel Kelas VIII SMPN 1 Biru-Biru

This study aims to determine the difficulties experienced by students and to determine the level of mathematical problem solving ability of grade VIII students of SMP N 1 Blue – Blue. In this study using qualitative descriptive method. The population in this study was the entire class VIII of SMP Negeri 1 Biru – Biru consisting of 6 classes whose total students were 183 students. while the sampling in this study was as suggested by the teacher, namely class VIII-1 whose number of students was 31 students where there were 3 subjects whose subjects were selected based on high, medium, and low ability levels. The material used in this study is the Two Variable Linear Equation System (SPLDV). As a research instrument, test result data is used in the form of essay tests on SPLDV material, where each question amounts to 3 questions and has been validated by mathematics lecturers. The results of the analysis obtained are based on written tests conducted in class VIII-1. Subjects who have a high level of ability are able to answer questions well and only experience slight obstacles in calculating operations, but can be corrected by these subjects, subjects who have a moderate level of ability are able to understand problems and determine variables but have difficulty translating problems into mathematical sentences, err in operations so that they are wrong in calculations. Subjects who have a low level of ability are able to understand problems and determine variables but are unable to understand problems on varied problems. The subject has not been able to sort the information on the problem, and the subject has difficulty identifying the information on the problem and the formulas used to create the mathematical model. The subject does not master the principle of operation of algebra. The subject has not been able to complete correctly, the subject made some mistakes and was not careful in calculations.

REPRESENTASI MATEMATIS SISWA SMA DENGAN GAYA KOGNITIF FIELD DEPENDENT DALAM MEMECAHKAN MASALAH MATEMATIKA

The purpose of this study is to describe the mathematical representation of senior high school students who have a field dependent cognitive style in solving mathematical problems on the material of the Three Variable Linear Equation System, so this research is a descriptive study using a qualitative approach. The subjects of this study were 2 students of SMA Negeri 1 Kedamean Gresik class X MIPA 1 who had a field dependent cognitive style. The data collection techniques used are cognitive style test (GEFT), Problem Solving Test (TPM) and interviews. The results of this study are the mathematical representation of high school students who have a field dependent cognitive style in solving mathematical problems at the stage of understanding the problem, making a settlement plan and carrying out a settlement. The subject has something in common, namely representing the problem symbolically. However, at the stage of re-examining the results of the completion of the field dependent subject, they represented verbally because the subject wrote down the results of their completion using written words, and gave their opinion through direct sentences

Development of Student Worksheets (LKPD) Based on Higher Order Thinking Skill (HOTS) On Two Variable Linear Equation Systems (SPLDV)

The purpose of this study was to determine the validity and feasibility of the LKPD and to determine student responses to the HOTS-based LKPD that was developed. This study uses the Research and Development (RnD) method with the ADDIE model. The model consists of 5 stages, namely Analysis, Design, Development, Implementation, and Evaluation. The data collection technique used a questionnaire in the form of a Likert scale to determine the validity and feasibility as well as student responses to the developed Student Worksheet (LKPD). The results of the research are the Development of Student Worksheets (LKPD) Based on Higher Order Thinking Skills (HOTS) on the Material of the Two Variable Linear Equation System (SPLDV) which are valid and suitable for use and excellent student responses to the HOTS-based LKPD. Based on the results of media expert validation, a percentage score of 80% was obtained in the "Valid" category, the results of material expert validation by the lecturers obtained a percentage score of 78.75% in the "Valid Enough" category, the results of material expert validation by the teacher obtained a percentage score of 83, 33% in the "Valid" category, the results of the RPP validation obtained a percentage of 81.06% in the "Valid" category, the feasibility validation results obtained an average score of 80.6% in the "Eligible" category and the student response results obtained a percentage score of 80 ,4% with the category “Very Good”.

Analisis Kemampuan Berpikir Tingkat Tinggi Dalam Menyelesaikan Masalah Open Ended Pada Materi Sistem Persamaan Linear Dua Variabel

This study aims to describe higher order thinking skills in solving open ended problems on the material of a two variable linear equation system for class IX students of SMP Negeri 5 Mataram in the 2021/2022 academic year. The Indicators of higher thinking skills consist of analyzing, evaluating, and creating. This type of research is a mixed methods. Mixed method research was research that combines qualitative and quantitative research.The data of this research were collected through observation, tests, interviews and documentation. The subjects of this research was used purposive sampling method. The data collection with the test method was carried out on 20 subjects. Data collection by interview method was conducted by selecting 6 students based on the results of the higher order thinking skill ability test, namely 2 students in the high category, 2 students in the medium category and 2 students in the low category. The results showed that 15% of students had higher order thinking skills in the high category with an average score of 77.67, 45% of students in the medium category with an average score of 62.97 and 40% of students in the low category with an average score. average 26.48. The students' higher order thinking ability is in the low category with an average value of 50.58. The achievement of analyzing indicators is 60%, evaluating indicators is 47% and indicators creating 47.5%.

ANALYSIS OF STUDENT ERRORS IN SOLVING THE SYSTEM OF THREE VARIABLE LINEAR EQUATIONS (SPLTV) BASED ON THE NEWMAN STAGES IN CLASS X STUDENTS AT UPT SMA NEGERI 1 PAREPARE

This study aims to describe the location of errors and the causes of student errors in solving the problems of the Three Variable Linear Equation System in Contextual Problems (daily life) using the Determinant Matrix Method. This material was chosen because students often make many mistakes when solving problems. This type of research is descriptive research with a qualitative approach. The subjects of this study were six students who were taken from the results of consultations with the Mathematics teacher of UPT SMA Negeri 1 Parepare. The data collection technique is a written test with three questions. . Based on the results of the study, it was concluded that students' errors in solving the problems of the Three-variable Linear Equation System in Contextual Problems (Daily Life) used the Determinant Matrix Method, namely First, the Reading Error was 13%. This is caused because students are less thorough and in a hurry to dig up the information, so the mistakes made by these students are fatal. Second, Comprehension Error is as much as 16%. This is caused because students do not write down information about what is known and asked and the information written is not appropriate. Third, a Transformation Error of 23% is caused because students cannot identify the right operation to solve the given problem. Students write the wrong sign in the arithmetic operation of the problem. Fourth, Process Kill is 19%, this is caused because students cannot carry out the calculation operation process correctly. And Fifth, Encoding Error of as much as 29% is caused because students are wrong in writing the final answer and do not write conclusions from the questions given.

A Comparative Study between the Use of Problem Based Learning Method and Expository Learning Method in SPLDV Material on Students' Mathematical Concept Understanding

Differences in Students' Mathematical Concept Understanding Ability Using Problem Based Learning (PBL) Learning Methods With Expository Learning Methods. On the Material System of Linear Equations of Two Variables in Class VIII SMP Negeri 8 Pematangsiantar. This study aims to determine the difference in the ability to understand mathematical concepts of students using the Problem Based Learning (PBL) learning method with the expository learning method on the material of a two-variable linear equation system. The population in this study were all eighth grade students of SMP Negeri 8 Pematangsiantar . sampling , the experimental class research sample was obtained as many as 32 students. The instrument used was a learning outcome test in the form of description questions that had been carried out at SMP Negeri 8 Pematangsiantar. From the results of the study, the average pretest result = 30.29 and the average posttest result = 34.9. Then the homogeneity of the data was tested by using the homogeneity test of variance F hit = 1.77 < F (0.05; 29:30 = 1.89 with a confidence level of = 0.05 meaning the sample is homogeneous because F hit is not in the critical area. From the calculation results of the t hit price = 1.86 for = 0.05 and v = 59 and table = 1.67 it turns out that t hits are in the k-point area, because 1.86> 1.67. So it can be concluded that student learning outcomes are good Using Problem Based Learning Methods With Expository Methods on Materials Two Variable Linear Equation System (SPLDV) in Class VIII SMP Negeri 8 Pematangsiantar.

ANALISIS KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA KELAS VIII DALAM MENYELESAIKAN SOAL CERITA SPLDV

This study aims to analyze the mathematical problem solving ability of class VIII students in solving problems regarding the Two Variable Linear Equation System (SPLDV). The basis of this research is the weak mathematical problem solving ability of junior high school students. The subjects of this study were 5 students of class VIII SMP from Bogor Regency. The approach used in this research is a qualitative approach with a descriptive method. This study uses a test tool to see the students' ability to solve mathematical problems in story problems using the Two Variable Linear Equation System (SPLDV) material. The data analysis technique used in this research is qualitative data analysis. Judging from the results of the analysis, some students still cannot solve the questions according to Polya's steps. From the results of research on 5 students, it can be seen that students' mathematical solving abilities when solving SPLDV story problems are still weak. Story questions about solving mathematical problems can help students think at a high level and be able to solve problems by following the steps given. Therefore, students still need exercises to understand the material and be able to solve problems related to solving these mathematical problems.

ANALISIS KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA KELAS VIII DALAM MENYELESAIKAN SOAL CERITA SPLDV

This study aims to analyze the mathematical problem solving ability of class VIII students in solving problems regarding the Two Variable Linear Equation System (SPLDV). The basis of this research is the weak mathematical problem solving ability of junior high school students. The subjects of this study were 5 students of class VIII SMP from Bogor Regency. The approach used in this research is a qualitative approach with a descriptive method. This study uses a test tool to see the students' ability to solve mathematical problems in story problems using the Two Variable Linear Equation System (SPLDV) material. The data analysis technique used in this research is qualitative data analysis. Judging from the results of the analysis, some students still cannot solve the questions according to Polya's steps. From the results of research on 5 students, it can be seen that students' mathematical solving abilities when solving SPLDV story problems are still weak. Story questions about solving mathematical problems can help students think at a high level and be able to solve problems by following the steps given. Therefore, students still need exercises to understand the material and be able to solve problems related to solving these mathematical problems.