Development E-Module Three Variables Linear Equations System Based On Mathematic Communication

This rapid technological development has a very significant impact on various aspects of human life, one of which is in the aspect of education. The existence of technological developments in the aspect of education gave rise to a new paradigm in which participants acted as constructors in managing the information gained knowledge and educators as facilitators who guide students in learning activities with the aid of an electronic device. However, the use of electronic devices in the form of laptops/computers has not been well implemented to make students passive, and mathematical communication skills are not optimal. Students still consider the material of the Three Variable Linear Equation System to be quite difficult. So, we need innovative learning media in the form of e-modules. The purpose of this study was to develop the contents and find out the quality of e-modules in the material of the Mathematical Communication Based Three Variable Linear Equation System. This research is development research that adapts the ADDIE development model. The results of this study are in the form of an e-module on the material of the Three Variable Linear Equation System based on mathematical communication that can be operated on a laptop/computer offline. The product has been validated by media experts and material experts and gets results in the Good category. The product was also tested on 46 respondents and obtained results in the Good category. Thus, the e-module of the Three Variable Linear Equation System based on mathematical communication is appropriate for use in learning. Keywords: e-module, Linear Equation System of three variables, mathematical communication.

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Profil Berpikir Siswa dalam Menyelesaikan Soal Sistem Persamaan Linear

Jurnal Didaktik Matematika ◽

10.24815/jdm.v6i1.12200 ◽

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.

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

MATHEdunesa ◽

10.26740/mathedunesa.v9n1.p128-135 ◽

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.

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Analisis Penerapan Media Pembelajaran Geogebra dalam Mengembangkan Kemampuan Komunikasi Matematis Siswa Pokok Bahasan Sistem Persamaan Linier Dua Variabel

Journal of Mathematics Education and Learning ◽

10.19184/jomeal.v1i1.24374 ◽

2021 ◽

Vol 1 (1) ◽

pp. 38

Author(s):

Alvias Noviantika Arnanda ◽

Dafik Dafik ◽

Ervin Oktavianingtyas ◽

Harmi Harmi ◽

Indyah Firmani

Keyword(s):

Qualitative Research ◽

Linear Equation ◽

Communication Skills ◽

Equation System ◽

Learning Activity ◽

Work Process ◽

Mathematical Communication ◽

Linear Equation System ◽

Post Test ◽

Students Attitudes

Abstract: The objective of this research was to find out students’ learning activity on Linear Equation System of Two Variables subject using Geogebra learning media, to find out if there was an increase in the students’ mathematic communication skills on Linear Equation System of Two Variables subject using Geogebra learning media, and to describe the students’ mathematic communication skills on Linear Equation System of Two Variables subject using Geogebra learning media. This research was conducted at SMP Negeri 1 Ngusikan. Based on the data in the school, the students’ mathematic communication skills was still low, so the use of Geogebra media was expected to increase students’ mathematic communication skills. This research applying qualitative research. The data were collected by tests and interview. To analyzing the students’ mathematic communication skills, the researcher did pre-test and post- test. The result showed that the application of Geogebra learning media can increase the students’ mathematic communication skills on Linear Equation System of Two Variables subject. It proved from the students work process in accordance with the indicators of students’ mathematic communication. Furthermore, the students’ mathematic communication skills will be described by the factors which include the learning process, students’ attitudes and comprehension, also giving question that can measure mathematical communication skills continuously. Keywords: Mathematic communication skills, Geogebra, Linier Equation System of Two Variable

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

Challenges of Science ◽

10.31643/2020.001 ◽

2020 ◽

pp. 5-13 ◽

Cited By ~ 2

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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Analysis of Student Errors in Solving Mathematics Problems Based on Watson's Criteria on the Subject of Two Variable Linear Equation System (SPLDV)

EduLine: Journal of Education and Learning Innovation ◽

10.35877/454ri.eduline572 ◽

2021 ◽

Vol 1 (2) ◽

pp. 125-131

Author(s):

Hastuty Musa ◽

R. Rusli ◽

Ilhamsyah ◽

A. Yuliana

Keyword(s):

Linear Equation ◽

Linear Equations ◽

Equation System ◽

Hierarchy Problem ◽

Response Level ◽

Descriptive Research ◽

Mathematics Problems ◽

Linear Equation System ◽

Class Viii ◽

Student Errors

The purpose of the study was to describe the types of student errors and the factors that caused students to make mistakes in solving a two-variable system of linear equations based on Watson's criteria for class VIII MTs Pattuku. This type of research is descriptive research using a qualitative approach. The subjects in this study were students of class VIII MTs Pattuku then chose 3 subjects to be interviewed who had the most types of errors based on Watson's criteria. The research instrument used was a diagnostic test consisting of 3 questions about a two-variable linear equation system and interview guidelines. From the results of this study, it shows that there are no students who make mistakes in missing data (committed data) and indirect manipulation (undirected manipulation). 16% made incorrect data errors (innapropriate data), 40% made incorrect procedural errors (innapropriate procedure), 68% made an omitted conclusion error, 24% made a response level conflict error, 36% made mistakes in the skill hierarchy problem, and 48% made mistakes other than the 7 categories above (above other).

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Necessary and Sufficient Conditions for The Solutions of Linear Equation System

Jurnal Matematika Statistika dan Komputasi ◽

10.20956/jmsk.v17i1.10352 ◽

2020 ◽

Vol 17 (1) ◽

pp. 82-88

Author(s):

Gregoria Ariyanti

Keyword(s):

Linear Equation ◽

Commutative Semigroup ◽

Algebraic Structure ◽

Identity Element ◽

Linear Equations ◽

Sufficient Conditions ◽

Equation System ◽

Distributive Property ◽

Linear Equation System ◽

Necessary And Sufficient

A Semiring is an algebraic structure (S,+,x) such that (S,+) is a commutative Semigroup with identity element 0, (S,x) is a Semigroup with identity element 1, distributive property of multiplication over addition, and multiplication by 0 as an absorbent element in S. A linear equations system over a Semiring S is a pair (A,b) where A is a matrix with entries in S and b is a vector over S. This paper will be described as necessary or sufficient conditions of the solution of linear equations system over Semiring S viewed by matrix X that satisfies AXA=A, with A in S. For a matrix X that satisfies AXA=A, a linear equations system Ax=b has solution x=Xb+(I-XA)h with arbitrary h in S if and only if AXb=b.

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Analysis of Mathematical Communication Skills Students for Two Variable Linear Equation Systems Material

Mathematics Education Journal ◽

10.22219/mej.v4i1.11465 ◽

2020 ◽

Vol 4 (1) ◽

pp. 1

Author(s):

Meli Susanti ◽

Anisa Nurul Hasinah ◽

Luvy Sylviana Zanthy

Keyword(s):

High School Students ◽

Linear Equation ◽

Communication Skills ◽

Junior High School ◽

Communication Skill ◽

Equation System ◽

Research Subjects ◽

School Students ◽

Mathematical Communication ◽

Linear Equation System

The communication skills of eighth grade junior high school students are catergorized as low. The purpose of this study is to analyze and describe aspects of mathematical communication skill, the research subjects consisted of 10 class students in one of the private schools located in Cimahi. The research method with data collection techniques. From the descript test regarding the two variabel linear equation system of 4 question. The results of this study indicated that students mathematical communication skill are categorized as moderate with a percentage of 42.5 % with the percentage of each item, number one 47.5 %, question number two 60 %, and question number four 32.5 %.

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PENERAPAN MEDIA SIMULASI MATLAB BERBASIS INTERACTIVE CONCEPTUAL UNTUK MENINGKATAN PEMAHAMAN KONSEP MAHASISWA

AKSIOMA Jurnal Program Studi Pendidikan Matematika ◽

10.24127/ajpm.v6i2.968 ◽

2017 ◽

Vol 6 (2) ◽

pp. 189

Author(s):

Davi Apriandi ◽

Reza Kusuma Setyansah

Keyword(s):

Linear Equation ◽

Linear Equations ◽

Equation System ◽

Student Understanding ◽

Student Response ◽

Matlab Simulation ◽

Research Subjects ◽

Linear Equation System ◽

Comprehension Tests ◽

Academic Year

This study aims to know the extent to which the use of Matlab simulation media based conceptual Interactive can overcome the difficulties of students in understanding the Linear Equation System in the course of Numerical Analysis and improve student understanding. This study is a classroom action research, which is carried out in two cycles. Research subjects as many as 25 students grade 7C Prodi Mathematics Education University PGRI Madiun academic year 2016/2017. Research instruments are researchers, learning observation sheets, concept comprehension tests, student response questionnaires and interview guides. Based on the result of the research, it can be concluded that the application of Matlab simulation media based on conceptual interactive in learning can increase the students understanding on Linear Equation System. This is shown by the improvement of students' ability in understanding the system of linear equations in each cycle. The data is also supported by a positive response given by students in learning.

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