scholarly journals Analysis of Students' Mathematical Representation Ability In Understanding the Material System of Linear Equations of Two Variables

2021 ◽  
Vol 3 (2) ◽  
pp. 37-54
Author(s):  
Lala Intan Komalasari
Keyword(s):  
Linear Equations ◽  
Equation System ◽  
Mathematical Representation ◽  
Average Score ◽  
Pictorial Representation ◽  
Material System ◽  
Verbal Representation ◽  
Linear Equation System ◽  
Eighth Grade Students ◽  
Descriptive Method

The purpose of this study was to analyze the mathematical representation ability of eighth grade students of SMP Negeri 02 Woja in understanding the material for the Two-variable Linear Equation System. The method used in this research is descriptive method. The descriptive method uses descriptive statistics to process the data obtained from the research results. In addition, the researchers conducted interviews with mathematics teachers who directly taught class VIII students in order to strengthen the data obtained in addition to tests. The findings of this study are as follows: The overall mathematical representation ability of students has an average score of 59.87; The ability of mathematical representation on the pictorial representation has an average of 50.98. The ability of mathematical representation on the symbol representation indicator  has an average of 65.66. Mathematical representation ability on verbal representation indicators has an average of 62.45.

scholarly journals PENGEMBANGAN MODUL MATEMATIKA BERBASIS MASALAH PADA MATERI SISTEM PERSAMAAN LINEAR DUA VARIABEL

2019 ◽  
Vol 6 (1) ◽  
pp. 57
Author(s):  
Siti Suprihatiningsih ◽  
Pradipta Annurwanda
Keyword(s):  
Student Learning ◽  
Learning Outcomes ◽  
Linear Equations ◽  
Equation System ◽  
Material System ◽  
Average Value ◽  
Linear Equation System ◽  
Eighth Grade Students ◽  
Class Viii ◽  
The Subject

This study aims to develop a problem-based mathematical module in the material system of two-variable linear equations of class VIII SMP students that are valid, practical and effective. This research is a development research with the method used is ADDIE. The subject of this study was the eighth grade students of SMP Negeri 1 Ngabang, Landak District. The instruments used were validation sheets, observation sheets and student learning outcomes tests. The result indicates that a problem-based mathematical module has been developed in the material system of two-variable linear equations of class VIII SMP students that are valid, practical and effective. Based on the results of the validity test, it can be stated that the problem-based mathematical module produced is valid with a validity value of 79.11. The implementation observation results show that the problem-based mathematics module is in the practical category with a practical value of 82.18. Then the results of student learning tests showed that the average value of the learning outcomes test was 83.00 and the effectiveness of the problem-based mathematics module was 87.50% and included in the effective category. When viewed from the results of the tests performed, the development of problem-based mathematical modules in the subject matter of the two-variable linear equation system has been successfully developed and is suitable for use in Ngabang 1 State Middle School.

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 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.

scholarly journals Profil Berpikir Siswa dalam Menyelesaikan Soal Sistem Persamaan Linear

2019 ◽  
Vol 6 (1) ◽  
pp. 69-84
Author(s):  
K. Ayu Dwi Indrawati ◽  
Ahmad Muzaki ◽  
Baiq Rika Ayu Febrilia
Keyword(s):  
Qualitative Research ◽  
Linear Equation ◽  
Linear Equations ◽  
Equation System ◽  
Mathematical Ability ◽  
System Of Linear Equations ◽  
Mathematics Ability ◽  
Linear Equation System ◽  
Thinking Process ◽  
Descriptive Qualitative

This research aimed to describe the thinking process of students in solving the system of linear equations based on Polya stages. This study was a descriptive qualitative research involving six Year 10 students who are selected based on the teacher's advice and the initial mathematical ability categories, namely: (1) Students with low initial mathematics ability, (2) Students with moderate initial mathematics ability, and ( 3) students with high initial mathematics ability categories. The results indicated that students with low initial mathematical ability category were only able to solve the two-variable linear equation system problems. Students in the medium category of initial mathematics ability and students in the category of high initial mathematics ability were able to solve the problem in the form of a system of linear equations of two variables and a system of three-variable linear equations. However, students found it challenging to solve problems with complicated or unusual words or languages.

scholarly journals IMPULSIVE AND REFLECTIVE STUDENTS’ UNDERSTANDING TO LINEAR EQUATIONS SYSTEM: AN ANALYSIS THROUGH APOS THEORY

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 128-135
Author(s):  
Dinda Ayu Rachmawati ◽  
Tatag Yuli Eko Siswono
Keyword(s):  
Linear Equation ◽  
Cognitive Style ◽  
Junior High School ◽  
Linear Equations ◽  
Equation System ◽  
Mathematical Concept ◽  
Apos Theory ◽  
Process Stage ◽  
Linear Equation System ◽  
Action Process

Understanding is constructed or reconstructed by students actively. APOS theory (action, process, object, schema) is a theory that states that individuals construct or reconstruct a concept through four stages, namely: action, process, object, and scheme. APOS theory can be used to analyze understanding of a mathematical concept. This research is a qualitative research which aims to describe impulsive and reflective students’ understanding to linear equations system based on APOS theory. Data collection techniques were carried out by giving Matching Familiar Figure Test (MFFT) and concept understanding tests to 32 students of 8th grade in junior high school, then selected one subject with impulsive cognitive style and one subject with reflective cognitive style that can determine solutions set and solve story questions of linear equation system of two variables correctly, then the subjects were interviewed. The results show that there were differences between impulsive and reflective subjects at the stage of action in explaining the definition and giving non-examples of linear equation system of two variables, show the differences in initial scheme of two subjects. At the process stage, impulsive and reflective subjects determine solutions set of linear equation system of two variables. At the object stage, impulsive and reflective subjects determine characteristics of linear equation system of two variables. At the schema stage, impulsive and reflective subjects solve story questions of of linear equation system of two variables, show the final schematic similarity of two subjects.Keywords: understanding, APOS theory, linear equations system of two variables, impulsive cognitive style, reflective cognitive style.

scholarly journals Perbandingan Kemampuan Menyelesaikan Masalah Matematika Pada Peserta Didik Laki-Laki Dan Perempuan Kelas VIII A SMP Negeri 4 Mamuju

2019 ◽  
Vol 14 (2) ◽  
pp. 172
Author(s):  
Suryadi Ishak ◽  
Irmayanti Irmayanti
Keyword(s):  
Problem Solving ◽  
Learning Outcomes ◽  
Equation System ◽  
Female Students ◽  
Average Score ◽  
Linear Equation System ◽  
Stage 4 ◽  
Mathematical Problems ◽  
Qualitative Descriptive ◽  
Stage 1

This research is a qualitative descriptive study that aims to compare the ability of male and female students to solve mathematical problems in a two-variable linear equation system. The subjects of this study were 19th grade students A VII from Mamuju Middle School as many as 19 people, then 6 students were taken, consisting of 3 men and 3 women. The results showed that students with high ability categories; (1) able to understand problems; (2) able to complete planning; (3) able to solve problems; (4) can use existing information to re-examine the answers obtained. Whereas in problem solving abilities for students with moderate categories, he is able to stage (1) be able to understand the problem, (2) be able to plan solutions and, (3) be able to solve problems still in stage (4) less able to reexamine the problem solving ability of answers to students with disadvantaged categories. (1) less able to understand problems; (2) inadequate settlement planning; (3) less able to solve problems; (4) unable to use the information available to re-examine the answers obtained. Indicates that the average score of learning outcomes is 75.26. Judging from the number of students who have not finished learning, it can be concluded that the obstacle experienced by students is the lack of students' understanding of the problem given, so that they are not able to solve the problem properly. Men read and understand the problems given at a glance and women understand the problem carefully and analyze whatever information is given correctly.

scholarly journals Evaluasi Kemampuan Komunikasi Matematis Siswa SMP Pada Materi Sistem Persamaan Linear Dua Variabel

2018 ◽  
Vol 1 (1) ◽  
pp. 55 ◽  
Author(s):  
Andriana Siwi Purwandari ◽  
Meilani Dwi Astuti ◽  
Anik Yuliani
Keyword(s):  
High School Students ◽  
Junior High School ◽  
Mathematics Learning ◽  
Linear Equations ◽  
Equation System ◽  
Material System ◽  
School Students ◽  
Mathematical Communication ◽  
Real Objects ◽  
Communication Ability

The ability of mathematical communication is contained in the curriculum and objectives of mathematics learning. Through mathematical communication is expected to improve students abilities of mathematical concepts. The purpose of this study is to determine the level of mathematical communication ability of junior high school students on the material system of two linear equations. This research is a descriptive research with qualitative approach. The study time was held in the even semester of the academic year 2017/2018. The subjects of the study were students of SMP class VIII in Cimahi city as many as 33 students. Data collection methods used are test methods, observation and documentation. Based on the results of data analysis showed the students mathematical communication ability of SMP on linear equation system two variables were obtained: (1) students ability in reflecting real objects, drawings and diagrams into mathematics idea with percentage of 81,08%; (2) students ability to explain ideas, situations and mathematical relations both orally and in writing using real objects, images, graphs and algebraic expressions with percentage of 33,33%; (3) the ability of students to declare daily events in language or mathematical symbols or to construct an event mathematical model of 18.18%; (4) students ability in explaining and making math questions studied for 7.58% and (5) students ability in making conjectures, formulating arguments, formulating definitions and generalizations of 7.58%.

scholarly journals ANALISIS KEMAMPUAN REPRESENTASI MATEMATIS SISWA PADA MATERI SISTEM PERSAMAAN LINEAR DUA VARIABEL (SPLDV) DI KELAS VIII 3 MTS AL-JAM’IYATUL WASLIYAH TEMBUNG

2020 ◽  
Vol 9 (1) ◽  
pp. 1
Author(s):  
Latifah Marhamah Harahap ◽  
Fibri Rakhmawati
Keyword(s):  
Qualitative Research ◽  
Visual Representations ◽  
Equation System ◽  
Mathematical Representation ◽  
Test Results ◽  
Linear Equation System ◽  
Class Viii ◽  
Well Data ◽  
Answering Questions ◽  
Lower Group

<p class="AfiliasiCxSpFirst" align="left"><strong>Abstrak:</strong></p><p class="AfiliasiCxSpMiddle">Penelitian ini bertujuan untuk mengetahui kemampuan representasi matematis siswa MTs Al-Washliyah Tembung di kelas VIII 3 dalam menyelesaikan masalah dari materi Sistem Persamaan Linier Dua Variabel (SPLDV). Penelitian ini adalah penelitian kualitatif. Dalam penelitian ini 6 subjek diambil sebagai subjek wawancara yang mewakili 3 kelompok, yaitu kelompok atas, kelompok menengah, dan kelompok bawah ditentukan berdasarkan hasil tes. Kriteria untuk subjek wawancara adalah subjek yang dapat mewakili jawaban masing-masing kelompok dan dapat berkomunikasi dengan baik. Pengumpulan data dilakukan dengan metode pengujian, dokumentasi, dan wawancara dengan siswa. Berdasarkan hasil penelitian ditemukan bahwa ada siswa yang kurang mampu untuk membuat representasi visual sesuai dengan informasi dalam pertanyaan, tidak memiliki pemahaman dalam menjawab pertanyaan tentang kemampuan representasi ekspresi, dan masih mengalami kesulitan menulis representasi verbal dan menjelaskannya.</p><p class="AfiliasiCxSpMiddle" align="left"> </p><p class="AfiliasiCxSpLast" align="left"><strong>Kata Kunci</strong>:</p><p>Kemampuan Representasi Matematis</p><p> </p><p class="AfiliasiCxSpFirst" align="left"><strong><em>Abstract:</em></strong></p><p class="AfiliasiCxSpMiddle"><em>This study aims to determine the mathematical representation ability of students of MTs Al-Washliyah Tembung in class VIII 3 in solving material problems of the Two Variable Linear Equation System (SPLDV). This research is a qualitative research.</em><em> In this study 6 subjects were taken as interview subjects who were representatives of 3 groups, namely the upper group, middle group, and lower group determined based on test results. Criteria for interview subjects are subjects that can represent the answers of each group and can communicate well. Data collection is done by the method of testing, documentation, and interviews with students. Based on the results of the study, it was found that there were students who were less able to make visual representations in accordance with the information in the questions, lacked understanding in answering questions about the ability of expression representation. Also still having difficulty writing verbal representations and explaining them.</em></p><p class="AfiliasiCxSpMiddle" align="left"> </p><p class="AfiliasiCxSpLast" align="left"><strong><em>Keywords</em></strong><em>:</em></p><p><em>Mathematical Representation Ability</em><em></em></p>

scholarly journals How to Teach Mathematical Concept Easily? (Learning Trajectory of Two-Variable Linear Equation System Topic in Junior High School)

2020 ◽  
pp. 5-13 ◽  
Author(s):  
H. Retnawati ◽  
E. Sulistyaningsih ◽  
R. Rasmuin
Keyword(s):  
High School ◽  
High School Students ◽  
Linear Equation ◽  
Junior High School ◽  
Design Research ◽  
Junior High ◽  
Linear Equations ◽  
Equation System ◽  
Learning Trajectory ◽  
Linear Equation System

The intention of this study was to find the learning trajectory of two-variable linear equations system in Junior High School. This study was design research using validation study. The participants of this study were Junior High School students in grade IX SMPIT Luqman al-Hakim Yogyakarta Indonesia. Data were collected through observation and interview. Data were analysed using Milles & Huberman model. Result revealed that the learning trajectory of the two-variables linear equation system were to deepen the mastery of algebra and one-variable linear equation system, model the two-variable linear equation system, solve the experiments, complete the two-variable linear equation using graphs, complete two-variable linear equations by substitution, simple elimination, complex elimination, and mixed method, and solve two-variable linear equation system problems. Keywords: learning trajectory, two-variable linear equation system, design research.

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