scholarly journals ANALISIS BERPIKIR LOGIS SISWA DALAM MENYELESAIKAN MATEMATIKA REALISTIK DITINJAU DARI KECERDASAN INTERPERSONAL

2020 ◽  
Vol 2 (2) ◽  
pp. 129-151
Author(s):  
Asti Faradina ◽  
Mohammad Mukhlis
Keyword(s):  
Problem Solving ◽  
Social Communication ◽  
Equation System ◽  
Logical Thinking ◽  
Data Presentation ◽  
Social Sensitivity ◽  
Linear Equation System ◽  
Mathematical Problems ◽  
Three Stages ◽  
The One

This research was motivated by a variety of intelligence possessed by each individual. Where later intelligence was used to solve problems. The one intelligence that can be used in this study was interpersonal. This study aims to describe students' logical thinking in solving realistic mathematical problems in terms of interpersonal intelligence aspects of social sensitivity, social insight, and social communication, especially in mathematics subject matter in the Three Variable Linear Equation System (SPLTV). This research was descriptive. The subjects in this study were three students who had each of the aspects of interpersonal intelligence. Data collection in this study was a questionnaire or questionnaire, tests to solve realistic mathematical problems, interviews, observations, and documentation. Analysis of the data used was the model of Miles, Huberman, and Saldana through three stages including data condensation, data presentation, and conclusions. The validity of the data used triangulation techniques. The results obtained were students who had interpersonal intelligence aspects of social sensitivity meet one indicator of logical thinking and meet two indicators of problem-solving based on Polya's steps but still lacking. Students who had interpersonal intelligence aspects of social insight meet two indicators of logical thinking and can meet three indicators of problem-solving based on Polya's steps but still lacking. Students who had interpersonal intelligence aspects of social communication met all indicators of logical thinking while being able to meet all indicators of problem-solving.

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 Pemecahan Masalah dalam Menyelesaikan Soal Jumping Task ditinjau dari Gaya Kognitif

Jurnal Elemen ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 183-198
Author(s):  
Hobri Hobri ◽  
◽  
Dianita Tussolikha ◽  
Ervin Oktavianingtyas ◽  
◽  
...  
Keyword(s):  
Qualitative Research ◽  
Problem Solving ◽  
Equation System ◽  
The Other ◽  
Collection Method ◽  
Independent Field ◽  
Linear Equation System ◽  
Field Dependent ◽  
Mathematical Problems ◽  
High Level

The provision of jumping tasks (JT) is an effort to improve students' problem-solving abilities. Descriptive qualitative research was conducted to describe and analyze students' ability to solve mathematical problems, both in the field-dependent cognitive style (FD) and independent field (FI). JT is a high-level question, C4-C6, in Bloom's taxonomy on the Three Variable Linear Equation System topic. The subjects in this study were students of class X MIPA 1 of SMA Negeri 4 Jember with 30 students consisting of 5 FD students and 25 FI students. The data collection method uses tests (JT questions) and interviews. The results showed the differences in FD and FI subjects' ability in the stages of carrying out the plan of completion and re-checking, i.e., the FI subject had better solving ability than the FD subject in the stage of planning the completion and re-checking. In contrast, at the other Polya stages, there were no differences.

scholarly journals Kemampuan siswa menyelesaikan masalah berbentuk soal cerita sistem persamaan linear ditinjau dari kemampuan penalaran

2020 ◽  
Vol 15 (2) ◽  
Author(s):  
Dimas Aditya Yudha Pradana ◽  
Budi Murtiyasa
Keyword(s):  
Problem Solving ◽  
Linear Equation ◽  
Junior High School ◽  
Mathematical Reasoning ◽  
Sampling Technique ◽  
Equation System ◽  
Data Presentation ◽  
Linear Equation System ◽  
Problem Solving Strategies ◽  
Reasoning Skills

Tujuan penelitian ini adalah mendeskripsikan kemampuan pemecahan masalah dalam menyelesaikan soal cerita sistem persamaan linear dua variabel ditinjau dari kemampuan penalaran matematis. Penelitian ini merupakan penelitian kualitatif dengan metode deskriptif. Subjek dalam penelitian adalah siswa kelas VIII C SMP Muhammadiyah 10 Surakarta tahun 2019/2020. Teknik pengumpulan data berupa hasil tes, wawancara dan dokumentasi. Teknik analisis data menggunakan reduksi data, penyajian data dan penarikan kesimpulan. Teknik pengambilan subjek berdasarkan tingkat kemampuan penalaran matematis siswa sehingga diperoleh 3 subjek kelas VIII C dengan kategori penalaran matematis rendah, sedang dan tinggi. Hasil penelitian menunjukkan bahwa (1) Siswa penalaran matematis rendah belum menentukan syarat cukup dan syarat perlu dalam memahami masalah, belum dapat menentukan strategi menyelesaikan masalah, belum dapat melaksanakan rencana dan belum dapat memeriksa perhitungan jawaban. Siswa penalaran matematis sedang mampu menentukan syarat cukup dan syarat perlu dalam memahami masalah, dapat menentukan strategi menyelesaikan masalah, belum dapat melaksanakan rencana dan belum dapat memeriksa perhitungan jawaban. Siswa penalaran matematis tinggi mampu menentukan syarat cukup dan syarat perlu dalam memahami masalah, mampu menentukan strategi menyelesaikan masalah, dapat melaksanakan rencana dan dapat memeriksa perhitungan jawaban. (2) Penyebab kesalahan siswa yaitu siswa tidak menuliskan semua informasi, tidak melakukan permisalan dan penulisan yang tidak sistematis. The students' ability to solve world problems of linear equation system in term of reasoning skillsAbstractThis study aimed to describe the students’ ability to solve word problems of the two-variable linear equation system in terms of mathematical reasoning skills. This study was qualitative research with descriptive methods. The subjects consisted of three students selected using purposive sampling technique from twenty grade-eight students of SMP Muhammadiyah 10 (Junior High School) Surakarta, Indonesia. The subjects' selection was based on the level of mathematical reasoning skills, namely low, medium, and high. We were collecting data using a test, interviews, and documentation. The stages of data analysis include data reduction, data presentation, and concluding. The results showed that (1) student with low mathematical reasoning was not able to understand problems, determine problem-solving strategies, implement plans, and locking-back the solution; (2) student with moderate mathematical reasoning was able to understand problems and determine problem-solving strategies, but has not been able to carry out plans and locking-back the solution; (3) student with high mathematical reasoning was able to understand problems, determine problem-solving strategies, carry out plans, and locking-back the solution; (4) the causes of student errors, namely students did not write down all important information in the problems, doing mathematical modeling, write unsystematic solutions, and did not conclude solutions correctly.

scholarly journals Analysis of Students’ Metacognitive Abilities Judging from Gender Differences

2020 ◽  
Vol 9 (1) ◽  
Author(s):  
M. Pradesta ◽  
H Bharata
Keyword(s):  
Monitoring And Evaluation ◽  
Equation System ◽  
Female Students ◽  
Male And Female ◽  
Mathematical Problems ◽  
Class Viii ◽  
Variable Equation ◽  
Three Stages ◽  
Metacognitive Abilities ◽  
And Control

Metacognition is a person's knowledge, awareness and control of the process and the results of his thinking, this study aims to describe the students' metacognitive abilities in solving problems with the Two Variable Equation System (SPLDV). The ability of Metacognition in this study consists of three stages: planning, monitoring, and evaluation. The research is descriptive qualitative. The subjects in this study from class VIII grade students of SMP Negeri 3 Bandar Lampung. Data collection techniques in this study were written tests, observations, interviews, and documentation. The data technique reduction data, presenting data and drawing conclusions. The results of research conducted on male and female students show that there is no difference in using the structure or ability that it already has to solve mathematical problems encountered. However, there are differences in the procedure for carrying out problem-solving. While the steps to plan and look again there are no differences in procedures and concepts.

scholarly journals Penyelesaian Sistem Persamaan Non-Linier Dengan Metode Bisection & Metode Regula Falsi Menggunakan Bahasa Program Java

Petir ◽  
2019 ◽  
Vol 12 (2) ◽  
pp. 179-186
Author(s):  
Endang Sunandar
Keyword(s):  
Linear Equation ◽  
Numerical Method ◽  
Equation System ◽  
Bisection Method ◽  
Output Analysis ◽  
Elimination Method ◽  
Non Linear Equation ◽  
Linear Equation System ◽  
Non Linear ◽  
Mathematical Problems

The numerical method is a technique used to formulate mathematical problems so that they can be solved using ordinary arithmetic operations. In general, numerical methods are used to solve mathematical problems that cannot be solved by ordinary analytical methods. In the Numerical Method, we know two types of system equations, namely the Linear Equation System and the Non-Linear Equation System. Each system of equations has several methods. In the System, the Linear Equation between the methods is the Gauss Elimination method, the Gauss-Jordan Elimination method, the LU (Lower-Upper) Decomposition method. And for the Non-Linear Equation System between the methods is the Bisection method (Share-Two), Falsi Regula method, Newton Raphson method, Secant method, and Fix Iteration method. In this study, researchers are interested in comparing the two methods in the Non-Linear Equation System, namely the Bisection method and the Falsi Regula method. And this benchmarking process uses the Java programming language tool, this is to facilitate analysis of method completion algorithms, and monitoring in terms of execution time and output analysis. So that we can clearly know what differences occur between the two methods.

Visuospatial reasoning of eighth-grade students in solving geometry problems: A gender perspective

2020 ◽  
Vol 13 (2) ◽  
pp. 152-167
Author(s):  
Kartika Sulistiya Nuriswaty ◽  
Sadrack Luden Pagiling ◽  
Nurhayati Nurhayati
Keyword(s):  
Female Student ◽  
Male Student ◽  
Female Students ◽  
Eighth Grade ◽  
Data Presentation ◽  
Mathematics Ability ◽  
Visuospatial Reasoning ◽  
Eighth Grade Students ◽  
Mathematical Problems ◽  
Three Stages

[English]: Visuospatial reasoning is indispensable in solving mathematical problems, especially geometry. However, many students face difficulty in visuospatial reasoning. This qualitative study aims to describe eighth-grade students' visuospatial reasoning in solving geometry problems in terms of gender differences. One male and one female student with high mathematics ability were involved. A test and interview were utilized to collect data. The test was used to investigate students' visuospatial reasoning and the interview was administered to confirm students' reasoning. Students’ test and interview results were analyzed in three stages: data condensation, data presentation, and conclusion drawing and verification. This study found that both male and female students' visuospatial reasoning in solving the problems is at the synthesis level. However, at the synthesis level, when identifying the spatial relationships between objects, the male student expresses information from the overall view scheme, while the female student expresses part by part of the view scheme. Keywords: Visuospatial reasoning, Geometry problems, Gender [Bahasa]: Penalaran visuospasial sangat diperlukan dalam menyelesaikan masalah matematika terutama pada masalah geometri. Namun, banyak siswa yang mengalami kesulitan dalam melakukan penalaran visuospasial. Penelitian kualitatif ini bertujuan mendeskripsikan penalaran visuospasial siswa kelas VIII yang ditinjau dari perbedaan gender dalam menyelesaikan masalah geometri. Satu siswa laki-laki dan satu siswa perempuan dengan kemampuan matematika tinggi dipilih sebagai subjek. Tes dan wawancara digunakan untuk mengumpulkan data. Tes digunakan untuk menyelidiki penalaran visuospatial siswa dan wawancara bertujuan mengonfirmasi dan menggali lebih dalam penalaran siswa. Data hasil tes dan wawancara dianalisis dalam tiga tahap, yaitu reduksi data, penyajian data, dan penarikan dan verifikasi simpulan. Hasil penelitian menunjukkan bahwa penalaran visuospasial siswa laki-laki dan perempuan dalam menyelesaikan masalah geometri berada pada jenjang sintesis. Namun, terdapat perbedaan pada jenjang sintesis dalam mengidentifikasi keterkaitan spasial antar objek-objek. Siswa laki-laki mengutarakan informasi dari skema pandangan secara menyeluruh, sedangkan siswa perempuan mengutarakan bagian per bagian dari skema pandangan tersebut. Kata kunci: Penalaran visuospasial, Masalah geometri, Gender

scholarly journals PERBEDAAAN KEMAMPUAN PEMECAHAN MASALAH DAN BERPIKIR KREATIF MATEMATIKA SISWA YANG DIAJARKAN DENGAN MODEL PEMBELAJARAN PROBLEM BASED LEARNING DAN PEMBELAJARAN KOOPERATIF TIPE TWO STAY-TWO STRAY PADA MATERI SISTEM PERSAMAAN LINEAR TIGA VARIABEL KELAS X SMA

2019 ◽  
Vol 8 (2) ◽  
Author(s):  
Rani Endriani ◽  
Fibri Rakhmawati
Keyword(s):  
Problem Solving ◽  
Cooperative Learning ◽  
Linear Equation ◽  
Creative Thinking ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Sampling Technique ◽  
Equation System ◽  
Learning Model ◽  
Linear Equation System

This study aims to determine whether there are differences in the ability to solve problems and think creatively in mathematics students who are taught with the problem based learning model with the two-stay-two stray cooperative learning model in class X SMA Negeri 2 Range of TP 2018 / 2019. This research is research quantitative research with quasi-experimental type. This sampling technique uses the Cluster Random Sampling technique. The sample of this study was students of class X-1 and X-2 of SMA Negeri 2 Kisaran T.P 2018/2019, amounting to 60 students. The test instrument used to determine students' creative problem solving abilities and mathematical creative thinking is to use a test in the form of a description. Data analysis was performed by analysis of variance (ANAVA). These findings show: 1). There is a difference in the ability to solve mathematical problem of students who are taught with the Problem Based Learning model and the Two Stay-Two Stray cooperative learning model in the material of the Three Variable Linear Equation System; 2). There is no difference between students' creative thinking abilities in mathematics taught by the Problem Based Learning model and the Two Stay-Two Stray cooperative learning model in the Three Variable Linear Equation System material; 3). There is a difference in the ability of problem solving and mathematical creative thinking of students who are taught with the Problem Based Learning model and the Two Stay-Two Stray cooperative learning model in the material of the Three Variable Linear Equation System; 4). There is no significant interaction between the learning models used on the problem solving abilities and students' mathematical creative thinking in the Three Variable Linear Equation System material. The conclusions in this study explain that there are differences in students' problem solving abilities and creative mathematical thinking that are taught with the Problem Based Learning Model and the Two Stay-Two Stray Cooperative Learning Model.

scholarly journals Perbandingan Metode Newton-Raphson & Metode Secant Untuk Mencari Akar Persamaan Dalam Sistem Persamaan Non-Linier

Petir ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 72-79
Author(s):  
Endang Sunandar ◽  
Indrianto Indrianto
Keyword(s):  
Linear Equation ◽  
Numerical Method ◽  
Equation System ◽  
Elimination Method ◽  
Non Linear Equation ◽  
Linear Equation System ◽  
Non Linear ◽  
Mathematical Problems ◽  
Newton Raphson ◽  
Raphson Method

The numerical method is a technique used to formulate mathematical problems so that it can be solved using ordinary arithmetic operations. In general, numerical methods are used to solve mathematical problems that cannot be solved by ordinary analytic methods. In the Numerical Method, we recognize two types of systems of equations, namely the Linear Equation System and the Non-Linear Equation System. Each system of equations has several methods. In the Linear Equation System between methods is the Gauss Elimination method, the Gauss-Jordan Elimination method, the LU (Lower-Upper) Decomposition method. And for Non-Linear Equation Systems between the methods are the Bisection method, the Regula Falsi method, the Newton Raphson method, the Secant method, and the Fix Iteration method. In this study, researchers are interested in analyzing 2 methods in the Non-Linear Equation System, the Newton-Raphson method and the Secant method. And this analysis process uses the Java programming language tools, this is to facilitate the analysis of method completion algorithm, and monitoring in terms of execution time and analysis of output results. So we can clearly know the difference between what happens between the two methods.

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.

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