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

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.

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 The ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA SPLDV BERDASARKAN TAHAPAN NEWMAN DITINJAU DARI TIPE KEPRIBADIAN FLORENCE LITTAUER

KadikmA ◽  
2021 ◽  
Vol 12 (2) ◽  
pp. 48
Author(s):  
Mutiara Winda Santoso ◽  
Dinawati Trapsilasiwi ◽  
Randi Pratama Murtikusuma
Keyword(s):  
Linear Equation ◽  
Personality Type ◽  
Equation System ◽  
Test Results ◽  
Story Problems ◽  
Research Subjects ◽  
Process Skill ◽  
Story Problem ◽  
Reading Errors ◽  
Linear Equation System

The aim of this qualitative research is to describe the types of student errors in solving the two-variable linear equation system story problem based on Newman's error analysis in terms of Florence Littauer's personality type. The data sources consisted of 8 students of grade IX C SMP Nuris Jember who had been taught the material of two-variable linear equation systems. The data taken were the results of the questionnaire used to group students into four categories of personality types, the results of the student's story problem solving test results, and the results of the interviews of the students who were the research subjects. The results showed that in solving the two-variable linear equation system material story problems, students sanguinis experienced reading errors, comprehensior errors, transformation errors, process skill errors, and  encoding error. Melancholy and phlegmatis students experience transformation error, process skill error, and encoding error. Koleris students experienced process skill error and encoding error. Keywords: Error,  Newman, Personality Type, SPLDV

scholarly journals KEMAMPUAN BERPIKIR KREATIF SISWA SMP KELAS VIII PADA MATERI SISTEM PERSAMAAN LINEAR DUA VARIABEL MELALUI PENDEKATAN OPEN ENDED

2018 ◽  
Vol 1 (5) ◽  
pp. 903
Author(s):  
Inggri Anggraeni ◽  
Luvy Sylviana Zanthy ◽  
Heris Hendriana
Keyword(s):  
Linear Equation ◽  
Creative Thinking ◽  
Equation System ◽  
Linear Equation System ◽  
Thinking Ability ◽  
Teachers And Students ◽  
Qualitative Descriptive ◽  
Class Viii ◽  
Creative Thinking Ability ◽  
Academic Year

This study aims to examine the improvement of student’s creative thinking ability of Class VIII on the material of two-variable linear equation system through open ended approach. This type of research is classroom action research. The method of this research is qualitative descriptive. This research was conducted on grade VIII-C student of SMP Darul Falah in the academic year 2017/2018 with 36 student. The instrument used in a student’s mathematical creative thinking test, cycle I and II test (after giving of action), and an observation sheet for teachers and students to conditions of action implementation. The result of this study indicate that the aspect of matehematical thinking creative ability of students has increased because of the problems tested in each test, the more students who score above the KKM. Based on the work indicator, it is concluded that the mathematical creative thinking ability of grade VIII-C students of SMP Darul Falah on two-variable linear equation system can be improved through open ended approach.

Pengembangan Video Media Pembelajaran Matematika Dengan Bantuan Powtoon

2020 ◽  
Vol 2 (2) ◽  
pp. 85-96
Author(s):  
Ridha Yoni Astika ◽  
Bambang Sri Anggoro ◽  
Siska Andriani
Keyword(s):  
Linear Equation ◽  
Learning Outcomes ◽  
Equation System ◽  
Student Response ◽  
Development Model ◽  
Development Research ◽  
Instructional Media ◽  
Student Responses ◽  
Linear Equation System

This research is a development research aimed at developing powtoon-assisted learning media, knowing student responses, and effectiveness. The procedure in this development uses a 4-D development model, namely: Define, Design, Develop, and Disseminate. The product developed was in the form of a learning media video on a two-variable linear equation system material for VIII grade students. The instruments used in this study are learning media assessment sheets by experts to measure the validity of learning media, student response questionnaires to measure the attractiveness of learning media, as well as learning outcomes tests to measure the effectiveness of the use of instructional media.

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.

scholarly journals Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Sistem Persamaan Linear Dua Variabel Berdasarkan Prosedur Newman

2020 ◽  
Vol 8 (1) ◽  
pp. 39-50
Author(s):  
Sri Hariyani ◽  
Verena Cony Aldita
Keyword(s):  
Mathematical Models ◽  
Linear Equation ◽  
Data Reduction ◽  
Equation System ◽  
Story Problems ◽  
Research Subjects ◽  
Data Presentation ◽  
Linear Equation System ◽  
Data Validity ◽  
Written Test

Abstract:Students often make mistakes in changing questions into mathematical models. Based on the results of the interview, the ability of students to solve story problems in the discussion of the Linear Equation System of Two Variables has not reached 50%. This study aims to analyze the types of mistakes made by students of class VIIIA SMP PGRI 06 Malang in solving mathematical story problems based on Newman's procedures. The instrument used was a written test that contained 4 questions and interview questions. The data validity technique used is source triangulation. Analysis of the data used is data reduction, data presentation, and concluding. The results showed: (1) 2 research subjects made mistakes at the reading stage; (2) 5 research subjects made mistakes at the understanding stage; (3) 5 research subjects made a transformation error; (4) 4 research subjects made mistakes at the process skills stage; (5) 5 research subjects made mistakes at the writing of the answers; and (6) 6 research subjects made mistakes at the carelessness stage.Abstrak:Siswa sering melakukan kesalahan dalam mengubah soal ke dalam bentuk model matematika. Berdasarkan hasil wawancara, kemampuan siswa dalam menyelesaikan soal cerita pada bahasan Sistem Persamaan Linear Dua Variabel belum mencapai 50%. Penelitian ini bertujuan untuk menganalisis jenis kesalahan yang dilakukan siswa kelas VIIIA SMP PGRI 06 Malang dalam menyelesaikan soal cerita matematika berdasarkan prosedur Newman. Instrumen yang digunakan adalah tes tertulis yang memuat 4 soal uraian dan wawancara. Teknik keabsahan data yang digunakan adalah triangulasi sumber. Analisis data yang digunakan yakni reduksi data, penyajian data dan penarikan kesimpulan. Hasil penelitian menunjukkan: (1) 2 subjek penelitian melakukan kesalahan pada tahap membaca; (2) 5 subjek penelitian melakukan kesalahan pada tahap memahami; (3) 5 subjek penelitian melakukan kesalahan transformasi; (4) 4 subjek penelitian melakukan kesalahan pada tahap keterampilan proses; (5) 5 subjek penelitian melakukan kesalahan pada tahap penulisan jawaban; dan (6) 6 subjek penelitian melakukan kesalahan pada tahap kecerobohan.

scholarly journals STUDI EKSPLORASI TENTANG REPRESENTASI MATEMATIS SISWA SMP UNTUK BAHASAN SPLDV (SISTEM PERSAMAAN LINEAR DUA VARIABEL) DITINJAU BERDASARKAN EXTENDED LEVEL TRIAD ++

2017 ◽  
Vol 5 (1) ◽  
Author(s):  
Diah Selviani
Keyword(s):  
Linear Equation ◽  
Exploratory Study ◽  
Equation System ◽  
Mathematical Representation ◽  
Test Results ◽  
Set Operations ◽  
Linear Equation System ◽  
Audio Recordings ◽  
Level 3 ◽  
Academic Year

This study aims to generate descriptions about mathematical representation of the students of Class IX SMP Alkarim of Bengkulu City using Two-Variable Linear Equation System (TVLES) based on extended level triad ++ after exploratory study. The test instrument is about to find out by exploring (exploratory study) student's mathematical representation about set operations based on the Extended level Triad ++. The steps taken in the development of test instruments were such as, the preparation of the research permit, the implementation of the test, correcting and analyzing the test results, grouping the students into the levels of the Extended Level Triad ++ based on the test results, selecting subjects which were two students from each level to be interviewed, conducting trial interviews with several Class IX students, revising interview guidelines, conducting interviews with selected subjects using interview guides and audio recordings, analyzing data, making recapitulation of data and conclusion, and finally preparing reports. The subjects of this research were the students of Class IX of SMP Alkarim of Bengkulu City academic year 2015/2016 with total of 11 students. Based on the result of the research and discussion, it was generated the descriptions of mathematical representation of the students of Class IX SMP Alkarim of Bengkulu City about Two-Variable Linear Equation System (TVLES) based on the extended level triad ++ after the exploratory study, which are the following: there was no student in Pre-Level 0 (Pre-Intra); there were 2 students for Intra Level (Level 0) i.e. AR and LR; there were 2 students for semi intra level (level 1) i.e. PS and NN; there were 2 students for Inter Level (Level 2) i.e. PR and RO; there were 3 students for Semi-trans level (level 3) i.e. QN, RA and SW; there was 1 student for level Trans (Level 4) which is MD; and for the extended trans level (Level 5) there was only 1 student i.e. HN. Keywords: Exploratory study, Mathematical Representation, Extended level Triad ++

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

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).

scholarly journals Necessary and Sufficient Conditions for The Solutions of Linear Equation System

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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