Two-variable Linear Equation System Research Articles

Pengembangan E-Modul Interaktif Berbasis Matematika Realistik Di Kelas VIII SMP Swasta Palapa Telagah

This study aims to obtain a constructivism-based e-module that is valid, practical, and effective, so that it can assist students in understanding the material for a two-variable linear equation system. The research instruments used were lesson plans, material validation sheets and e-module media, learning outcomes tests, and student and teacher response questionnaire sheets. After all instruments, lesson plans, and e-modules were declared valid by the validator, then readability tests and field trials were carried out. The results showed that: (1) the developed E-Module had met the validity values, namely (3.37 and 3.25) with a very feasible category; (2) The developed E-Module has met the practical value (79.75% and 90.5%) with very practical category; (3) The developed E-Module meets the effective criteria with the completeness of student learning outcomes that meet the criteria, namely 85% of students have obtained a score of 75 and the achievement of each indicator/learning objective is more than 65% of the total students.

Mathematical Communication Based on Maslow's Theory: A Study of Learning Motivation in Elementary School Students

Mathematical communication skills are of utmost importance for students to effectively solve mathematical problems. However, the evidence suggests that elementary school students still exhibit very low levels of communication skills. Communication skills are influenced significantly by various factors, and one of these factors is learning motivation. This study aims to describe and analyze the mathematical communication abilities of students in the topic of linear equations of two variables, taking into account their learning motivation based on Maslow's theory. The research design employed in this study is descriptive qualitative. The data collection instruments consist of written tests on the topic of a two-variable linear equation system, non-test instruments in the form of questionnaires to assess students' learning motivation based on Maslow's theory, and semi-structured interview guidelines. The subjects of the study were fifth-grade students at SDN Kedungsari Purwerejo, and a sample of six students was selected using purposive sampling. The data analysis technique involved data reduction, data visualization, and drawing conclusions. The research findings indicate that students who fulfill all aspects of Maslow's theoretical hierarchy exhibit higher learning motivation. This is evident in the differences observed in their responses to the questions. Students who fulfill all aspects of Maslow's theoretical hierarchy put in more effort to provide detailed and clear answers, while students who only fulfill some aspects of Maslow's theoretical hierarchy tend to answer questions more straightforwardly without providing a more elaborate explanation.

PENINGKATAN HASIL BELAJAR SISWA SMP MELALUI STRATEGI KNOW-WANT-LEARNED (KWL)

This study aims to determine the effect of applying the Know-Want-Learned (KWL) learning strategy in improving the mathematics learning outcomes of Grade VIII students at a public junior high schools in Denpasar. The research method used was Classroom Action Research (CAR) which was conducted on 40 class VIIIA students as a research sample. The test instrument is used with 4 questions in the form of essays. The results showed that there was an increase in the mathematics learning outcomes of class VIII students at the school through the implementation of the KWL strategy, especially in the two-variable linear equation systems. This can be seen from the average score of students in the pre-cycle activities of 43, in the first cycle it increased to 51, and un the second cycle it became 77. The increase occurred because the implementation of the KWL strategy was carried out by learning a new paradigm and differentiation. The new paradigm learning includes competency standard mapping, independent learning, and minimal competency assessment so as to guarantee more flexibility for educators to formulate learning designs and assessments according to the characteristics and needs of students. The differentiation is made to the learning content.

KESULITAN KESULITAN SISWA SMP KELAS VIII DALAM MEMAHAMI KONSEP MATEMATIKA PADA MATERI SISTEM PERSAMAAN LINEAR DUA VARRIABEL (SPLDV)

Abstract This study aims to determine the difficulty of students in class VIII in understanding the understanding of mathematical concepts in the system of linear two-variable equations and the principles experienced by students in solving the problem stories for two-variable linear equation systems and the factors that cause students to experience these difficulties. The method used in this research is descriptive method. The subjects used in this study were students of class VIII selected with consideration. The instrument used is a written test in the form of essays and interview guidelines. From the data analysis, it is known the difficulties and the factors causing the difficulties experienced by students. difficulty in converting story problems into mathematical sentences, difficulty in operating with the substitution method, difficulty in operating addition and subtraction. The factors that cause difficulties are the lack of mastery of the system of linear equations for the two variables SPLDV, the lack of persistence, lack of accuracy when working on the questions, do not master the concept of the linear system for the two variables SPLDV.

The Implementation of Scientific Approach to Improve Mathematical Understanding Ability on Senior High School Students

Mathematical understanding ability is a basic ability that must be possessed by every student in understanding the concept of material and applying it in a mathematical symbol and formula. However, the fact is that currently the failure in learning mathematics is due to students' lack of understanding of the concepts in mathematics material. The purpose of this study was to see the improvement of mathematical understanding ability of class VIII-B students on the material of Two-Variable Linear Equation System at SMPN 1 Margaasih. The research method used is the model of Kemmis and McTaggart with the subject studied, namely students of class VIII-B SMPN 1 Margaasih. The research conducted used Classroom Action Research (CAR). The research took place over 2 cycles, each cycle consisting of several stages starting from the plan, action, observation and reflection stages. In cycle I and cycle II the teacher gave a test, besides that in each cycle an observation sheet was provided. The results of this study showed that there was an increase in the completeness of learning scenarios for teachers by 51.92% and for students by 50.01%. In addition, the results of filling out the tests given each cycle showed good results with the number of students who scored above the KKM in cycle I by 69.44% and cycle II by 80.55%, meaning an increase of 11.11%. Thus, the mathematical understanding ability of class VIII students on Two-Variable Linear Equation System material at SMPN 1 Margaasih using a scientific approach has improved.

Student Learning Styles in Solving Math Story Problems on the Material of Two-Variable Linear Equation Systems

Students' information gathering is heavily reliant on their learning styles. Mathematical education calls for a deeper examination of methodological variations. This study examines the correlation between students' learning styles and their ability to solve math word problems involving a system of two-variable linear equations. The method employed is a qualitative, descriptive research method. The instruments utilized are student aptitude and learning style assessments. Data analysis methods include data collection, data reduction, and data interpretation. The findings included that the visual and auditory subjects completed only three of the five questions they deemed simple. Comparatively, kinesthetic subjects were able to answer four questions. When reexamining the visual, auditory, and kinesthetic subjects, the obtained answers are not rechecked. By concluding the solution process, visual and kinesthetic subjects exhibit similarities. In the final phase, the auditory subject neither concludes nor responds to the initial questions.

Analisis Kemampuan Siswa SMP dalam Menerjemahkan Soal Cerita SPLDV dan Penyelesaiannya

This study aims to determine the ability of junior high school students in translating SPLDV word problems into mathematical models and their solutions. Especially in the matter of two-variable linear equation systems (SPLDV).
 This type of research is qualitative. The approach used is the phenomenological approach. Data collection using test techniques, interviews, field notes, and documentation. The research subjects took 2 students with high category classification from class VIII B of SMP Negeri 2 Puring which originated from the determination of high, medium and low group boundaries. The group limit is high if the Odd PAS value is > (x ̅ + SD), the group limit is medium if (x ̅ - SD) < Odd PAS value < (x ̅ + SD), while the group limit is low if the Odd PAS value < (x ̅ + SD). Data analysis techniques include data reduction, data presentation, and conclusions. Checking the validity of the data uses credibility and confirmability tests.
 The results of this study indicate that the subject has a high ability to translate because he is able to understand the problem (write down what is known and asked), is able to solve problems (make examples and mathematical models), is able to take steps to solve problems. But did not evaluate or check again. Students who have high translation skills experience a few mistakes, namely not carrying out the evaluation step or checking again.

Implementation of problem-based learning models to improve understanding of mathematics concepts at Al-Hassan high school

The purpose of this study was to find out the application of the Problem Based Learning learning model in increasing students' understanding of mathematical concepts in learning Mathematics on the material of a two-variable linear equation system in class X IPA SMA AL-HASSAN BALIKPAPAN. The implementation of this research was through a cyclical review process consisting of four stages, namely planning, action, observation, and reflection. Procedure This research was carried out in two cycles, namely the first cycle and the second cycle. Each cycle consists of 4 meetings. In this study, the subjects in this study were students of class X with a total of 20 students consisting of 9 male students and 11 female students. Data collection in this study was carried out by tests, documentation and observation. Data analysis was carried out by classifying student data, presenting data, interpreting data, and concluding. Based on the results of the study, several conclusions can be drawn to answer the question that the PBL learning model can improve students' mathematical concept comprehension tests in Class X IPA SMA AL-Hassan Balikpapan. This is based on the results of the test for understanding the mathematical concept of the two-variable system of equations (SPLDV) material for students in cycle I who achieved scores above 65 in PBM only achieving a score of 90%, the results obtained from tests of students' understanding of mathematical concepts in PBM increased from the first cycle with a score above 65 reaches 100%.

VALIDASI LEMBAR KERJA PESERTA DIDIK (LKPD) BERBASIS MULTIPLE INTELLIGENCES

This study aims to develop LKPD based on Multiplate Intelligences on the material of the Two-Variable Linear Equation System (SPLDV) which is suitable for use in learning activities for class VIII students of junior high school. Multiplate Intelligences-based learning is a learning theory where students can develop various intelligences together to support the learning process, especially mathematics. This research is a type of development research (Research & Development). Based on the results of research and development of LKPD based on Multiplate Intelligences, the validation results were obtained from three experts in their fields, namely mathematicians 83.08% with very suitable criteria, 86.16% learning method experts with appropriate criteria and 83.08% language experts with feasible criteria. So it can be concluded that the development of LKPD based on Multiplate Intelligences on SPLDV material for use in class VIII junior high school students is very valid and feasible for later use in learning

Analisis Kemampuan Pemecahan Masalah Matematis pada Materi Sistem Persamaan Linier Dua Variabel (SPLDV) Ditinjau dari Self Directed Learning


 This study aims to analyze the mathematical problem solving abilities of class X TKJ-3 SMKN 1 Perbaungan in the material system of two-variable linear equations (spldv) in terms of high, medium and low levels of Self Directed Learning. This research is a qualitative descriptive study. The subjects of this study were students of class X TKJ-3 SMKN 1 Perbaungan. The object of research on the analysis of mathematical problem solving abilities in the matter of a system of two-variable linear equations (spldv) in terms of self-directed learning at SMKN 1 Perbaungan. This study used a test on SPLDV material consisting of 3 essay questions. Analysis of the data that has been carried out the results of this study indicate that: (1) students who have the ability to solve mathematical problems with independent learning levels have been able to overcome the four problem solving indicators according to Polya, namely understanding the problem, planning problem strategies, carrying out calculations, and re-examining. problem solving results. (2) students who have the ability to solve mathematical problems with moderate independent learning levels show that they have been able to fulfill indicators 1 and 3 of problem solving according to Polya, namely understanding problems and carrying out calculations. (3) students who have the ability to solve mathematical problems with low-level independent learning are not able to meet indicators 1, 2, 3, and 4 according to Polya.
 Keywords: Problem solving ability, two-variable linear equation system, self-directed learning

PROSES BERPIKIR DALAM MEMECAHKAN MASALAH BERDASARKAN TINGKAT KEMAMPUAN MATEMATIKA PADA SISWA KELAS VIII SMP

This study aims to determine the thinking process of students with high, medium and low abilities in solving mathematical problems in the Material of a Two-variable Linear Equation System using Polya theory for class VIII SMP Bina Kusuma in the academic year 2022/2023. Each student has different abilities so the teacher can choose a variety of learning methods according to the student's ability level. The approach used is a qualitative approach. The research subjects were 6 students of class VIII SMP Bina Kusuma Ruteng. Data collection in this study was carried out through tests, interviews and documentation with the research instruments, namely the first-semester report cards of mathematical abilities, problem-solving tests and interviews. The data analysis used is the data analysis model of Miles and Huberman, namely, data collection, data reduction, data presentation and concluding. The results of the analysis of research data show that conceptual thinking processes are only owned by students with high mathematical abilities, while semi-conceptual thinking processes only occur in students with moderate mathematical abilities, and computational thinking processes only occur in students with low mathematical abilities.

The effect of GeoGebra android on increasing mathematical understanding ability based on gender

This study aims to describe the increase of students' mathematical understanding ability in learning the two-variable linear equation system (SPLDV) and the two-variable linear inequality system (SPTLDV) with Android GeoGebra media reviewed by gender. This experimental quasi research is one group pretest postest design. The sample in this study was a class XI of 32 students with Purposive Random Sampling techniques. Data collection in this study uses an instrument for a mathematical understanding ability test in the form of a description. The results of the study can be concluded in the learning of Android GeoGebra, the mathematical understanding of male students is significantly different from the mathematical understanding of female students. It means that in learning the Android GeoGebra Improvement of the Mathematical Understanding Ability of Male Students is greater than female students. Thus it can be concluded that in the learning of Android GeoGebra, an increase in the mathematical understanding of male students is better than female students.

Audio Visual Snakes and Ladders Game Development for SPLDV

Many students still need help understanding SPLDV material. This research aims to develop learning media for snakes and ladders assisted by audio-visual aids using valid and effective PPT to improve learning outcomes and student learning enthusiasm in learning the Two-Variable Linear Equation System. The study subjects were 18 grade VIII students at SMP Muhammadiyah 2 Malang. The research method used is development or Research and Development (R&D). Data collection techniques used are test questions and questionnaires. Data analysis techniques using data analysis, namely quantitative descriptive with and calculating the average value of the pretest and posttest and the average percentage of the questionnaire value and the categorization of the percentage results. The results of this study indicate that the average effect of media validation is 94% in the very good category. Student learning outcomes are seen from the average student scores before and after using the media, namely, 32.5 and 83.89, which states that there are differences in learning outcomes students before and after using the media, as well as from the response questionnaire data students' enthusiasm for learning obtained an average of 83.74% which means very good. This states that audio-visual assisted snake and ladder learning media using PPT in learning the Linear Equation System of Two Variables is valid and effective in improving learning outcomes and student learning enthusiasm in the learning process.

A mathematical model of demand with unpredictable salt supply: a case study in Madura

The proposed mathematical model aims to optimize the amount of demand based on the uncertainty of salt supply to meet the needs of salt in society. This study uses an econometric approach to model the supply and demand for salt based on the uncertainty of the amount of supply. The research results are the salt productivity model used to build a salt availability model. Meanwhile, the salt demand model is built based on past data about the number of requests for each period. The demand and supply functions for salt use a two-variable linear equation system. The salt field productivity models follow a quadratic polynomial pattern according to the difference in seasons at each time. The demand and supply of salt model follows a linear regression. The supply of salt in Indonesia is uncertain at any time. But, the demand for salt increased at the time. It is necessary to model the demand and supply of salt to meet the demand for salt

Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita SPLDV Berdasarkan Tahapan Newman

This study aims to observe the errors of class IX junior high school students in solving the problem of a two-variable system of linear equations in the form of a narrative math problem. The research subjects were 24 students of class IX. This research instrument uses 3 narrative mathematical problems of a two-variable linear equation system according to the Newman error analysis indicator. A qualitative descriptive approach was used in this study. The results obtained, some students have difficulty on indicators to solve problems involving a system of linear equations of two variables. Based on Newman's error analysis, the causes of student errors in solving two-variable linear equation system narrative math problems are: (1) 35% for reading errors in the very low category are caused by difficulties in interpreting the meaning of words or terms in the problem; (2) 61% for comprehension errors in the low category due to students not writing down the known and asked elements; (3) 50% for transformation errors in the very low category is due to difficulties in determining procedures and formulas; (4) 59% for process skill errors in the low category caused by errors in the calculation process; and (5) 58% for encoding errors in the low category were caused by students not writing conclusions.

Pengembangan Modul Pembelajaran Mobile Berbasis Microlearning dalam Flipbook pada Materi Sistem Persamaan Linear Dua Variabel di Kelas X di SMAN 1 Sorkam

This research has the aim of developing and producing a mobile learning module product based on microlearning that is valid, practical and effective for use on the material of a two-variable linear equation system. The type of research used is research and development (Research and Development) which refers to the ADDIE development model (Analysis, Design, Development, Implementation, Evaluation). The subjects used in this study were students of class X SMA N 1 Sorkam, totaling 35 people. Besides, the object of this research is a mobile learning module based on microlearning.

The Development of Microsoft Powerpoint-Assisted Worksheet to Increase Students’ Mathematical Problem Solving Ability

SMP Al-amin is a private school located in the district of Kandanghaur - Indramayu. The learning resources provided by the Government only provide books for teachers and do not provide worksheet to students. Therefore the researcher wants to make PowerPoint-assisted worksheets to increase enthusiasm, student interest in learning, and student motivation while studying. The purpose of this research is to produce student worksheets assisted by Microsoft PowerPoint. The research method used is research and development (R&D) and the ADDIE learning design. The stages of the ADDIE development model are as follows: analysis, design, development, implementation, and evaluation. The subjects of this study were class VIII students of SMP Al-Amin Kandanghaur. the instruments used were feasibility analysis, student response questionnaires, and teacher response questionnaires. Based on the research findings, the PowerPoint-assisted worksheet was declared "feasible" with a feasibility value of 80%. In addition, the student and teacher response questionnaire rates were 79%, indicating that these PowerPoint-assisted worksheets are "handy". Thus it can be concluded that the use of PowerPoint-assisted WORKSHEET in the two-variable linear equation system (SPLDV) subject can be said to be a safe, practical, and effective learning mediumkeywords.

Pembelajaran Berbantuan Aplikasi Graspable Math pada Materi SPLDV untuk Melatih Pemahaman Matematis Siswa

This study aims to describe the use of Graspable Math learning media in the material of the Two-Variable Linear Equation System (SPLDV) to train mathematical understanding skills. This study was conducted on 8th-grade students with as many as six people as subjects using a qualitative methodology. The instruments used were math comprehension test sheets and interview guidelines. The results of this study show that the Graspable Math application can be used as a practical medium for students' mathematics learning. This implies that the use of the Graspable Math application on SPLDV material at the junior high school level can help students' understanding of mathematics, especially in algebraic material which includes operations and substitution between tribes

PEMBELAJARAN MATEMATIKA DALAM PENERAPAN SPLDV SOAL CERITA PADA PESERTA DIDIK KELAS X SMK MUHAMMADIYAH REMBANG

The Covid-19 pandemic situation has begun to decrease and the process of returning to normal situations has begun, although it cannot be in normal conditions as before, so that learning activities can be carried out face-to-face, and learning activities in schools will also be more effective. The purpose of this study was to determine the results of mathematics learning about the application of SPLDV in story problems to students of class X SMK Muhammadiyah Rembang. Data obtained from open class activities using face-to-face learning. The subjects to be studied are students of class X SMK Muhammadiyah Rembang. Data analysis was collected using Miles & Huberman's interactive analytical technique. The results obtained from the research are (1) Students can understand and observe story problems in daily life which are the application of SPLDV, (2) Students can change story questions into mathematical models and determine variable values or determine the completion of a story problems in SPLDV, (3) Students can understand the concept of story questions in the application of SPLDV so that learning objectives can be achieved, (4) With face- to-face learning, students appear to be more active in group discussions. (5) The presence of students is maximized by face-to-face learning. The application of the two-variable linear equation system (SPLDV) is very much in everyday life, with the application of the SPLDV the ability of students to think and understand a problem from story problems will be more developed.

Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Matematika Berdasarkan Prosedur Newman

The main purpose of this study is to describe the errors and causes of student errors in solving math story problems with a two-variable linear equation system based on the Newman procedure. This type of research is a descriptive study with a qualitative approach which was carried out at SMP Negeri 3 Salomekko. The subjects of this study consisted of 3 people who were taken each 1 student with low ability, medium ability and high ability. Data collection techniques used test and interview methods, and instrument validation was carried out with 2 expert validation stages. Technical data analysis using descriptive analysis and qualitative data analysis starting from data reduction, data presentation and drawing conclusions. From the results of the study, it was concluded that high-ability subjects made misunderstandings and errors in writing the final answer. Subjects who are capable of making transformation errors, process skill errors and writing errors in the final answer. Low-ability subjects made reading errors, understanding errors, transformation errors, process skills errors and writing errors in the final answer. The causes of student errors are 1) reading errors are caused by haste and confusion in interpreting the meaning of the word. 2) misunderstandings are caused by lack of knowledge in interpreting the meaning of words and forgetting. 3) the transformation error is caused by not understanding the problem and being confused about working on the problem. 4) process skill errors are caused by lack of thoroughness and haste. 5) the error in writing the final answer is caused by lack of thoroughness, haste, and did not find the final result. Keyword: Student errors, Solving math story problems, Newman procedure