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JTAM (Jurnal Teori dan Aplikasi Matematika)
Published by Universitas Muhammadiyah Mataram
ISSN : 25977512     EISSN : 26141175     DOI : 10.31764/jtam
Core Subject : Education,
Mathematics
Jurnal Teori dan Aplikasi Matematika (JTAM) dikelola oleh Program Studi Pendidikan Matematika FKIP Universitas Muhammadiyah Mataram dengan ISSN (Cetak) 2597-7512 dan ISSN (Online) 2614-1175. Tim Redaksi menerima hasil penelitian, pemikiran, dan kajian tentang (1) Pengembangan metode atau model pembelajaran matematika di sekolah dasar sampai perguruan tinggi berbasis pendekatan konstruktivis (PMRI/RME, PBL, CTL, dan sebagainya), (2) Pengembangan media pembelajaran matematika berbasis ICT dan Non-ICT, dan (3) Penelitian atau pengembangan/design research di bidang pendidikan matematika, statistika, analisis matematika, komputasi matematika, dan matematika terapan.
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Articles 20 Documents
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Search results for , issue "Vol 6, No 2 (2022): April" : 20 Documents clear
Fuzzy Support Vector Machine Using Function Linear Membership and Exponential with Mahanalobis Distance Wiwi Widia Sukeiti; Sugiyarto Surono
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6912

Abstract

Support vector machine (SVM) is one of effective biner classification technic with structural risk minimization (SRM) principle. SVM method is known as one of successful method in classification technic. But the real-life data problem lies in the occurrence of noise and outlier. Noise will create confusion for the SVM when the data is being processed. On this research, SVM is being developed by adding its fuzzy membership function to lessen the noise and outlier effect in data when trying to figure out the hyperplane solution. Distance calculation is also being considered while determining fuzzy value because it is a basic thing in determining the proximity between data elements, which in general is built depending on the distance between the point into the real class mass center. Fuzzy support vector machine (FSVM) uses Mahalanobis distances with the goal of finding the best hyperplane by separating data between defined classes. The data used will be going over trial for several dividing partition percentage transforming into training set and testing set. Although theoretically FSVM is able to overcome noise and outliers, the results show that the accuracy of FSVM, namely 0.017170689 and 0.018668421, is lower than the accuracy of the classical SVM method, which is 0.018838348. The existence of fuzzy membership function is extremely influential in deciding the best hyperplane. Based on that, determining the correct fuzzy membership is critical in FSVM problem.
GRG Non-Linear and ARWM Methods for Estimating the GARCH-M, GJR, and log-GARCH Models Didit Budi Nugroho; Lam Peter Panjaitan; Dini Kurniawati; Zaini Kholil; Bambang Susanto; Leopoldus Ricky Sasongko
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7694

Abstract

Numerous variants of the basic Generalized Autoregressive Conditional Heteroscedasticity (GARCH) models have been proposed to provide good volatility estimating and forecasting. Most of the study does not work Excel’s Solver to estimate GARCH-type models. The first purpose of this study is to provide the capability analyze of the GRG non-linear method built in Excel’s Solver to estimate the GARCH models in comparison to the adaptive random walk Metropolis method in Matlab by own codes. The second contribution of this study is to evaluate some characteristics and performance of the GARCH-M(1,1), GJR(1,1), and log-GARCH(1,1) models with Normal and Student-t error distributions that fitted to financial data. Empirical analyze is based on the application of models and methods to the DJIA, S&P500, and S&P CNX Nifty stock indices. The first empirical result showed that Excel’s Solver’s Generalized Reduced Gradient (GRG) non-linear method has capability to estimate the econometric models. Second, the GJR(1,1) models provide the best fitting, followed by the GARCH-M(1,1), GARCH(1,1), and log-GARCH(1,1) models. This study concludes that Excel’s Solver’s GRG non-linear can be recommended to the practitioners that do not have enough knowledge in the programming language in order to estimate the econometrics models. It also suggests to incorporate a risk premium in the return equation and an asymmetric effect in the variance equation. 
Development of Open-Ended-Based Mathematics E-Module on Quadrilateral Material of Junior High School Nurina Fairuz Shalihah; Teguh Wibowo; Dita Yuzianah
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7291

Abstract

The purpose of this research was to develop an open-ended-based mathematics e-module that is feasible in terms of being valid, practical, and effective. This product used the quadrilateral material of Junior High Schoo l. The method used is the Research and Development (R&D) research using the ADDIE model (Analysis, Design, Development, Implementation, Evaluation). Based on the results of the study, the assessment by material experts and media experts was in the valid category, then the practicality assessment in terms of the results of the questionnaire response analysis of students and teachers met the practical category, and the effective product was seen from the student's test results and analyzed using one-sample t-test the conclusions of the research hypothesis were the average student learning outcomes of the experimental class are greater than minimum completeness 75. With that, the open-ended mathematics e-module product on the quadrilateral material of grade 7 Junior High School can be said to be valid, practical, and effective.
Development of Moodle’s E-Learning as a Media in Mathematical Problem-Solving Nurjannah Nurjannah; Anggy Heriyanti; Andi Baso Kaswar
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6243

Abstract

The aim of this research is how to design an e-learning application that can be used as a medium in solving mathematical problems for Mathematics Education students at the Islamic Institute of Muhammadiyah Sinjai. The purpose of this research is to produce a product in the form of an e-learning application Moodle as a medium in solving problems. This study was designed using the ADDIE (Analysis, Design, Development, Implementation, Evaluation) model. To get a valid and effective application, the validity of the research instrument was tested and the validity of the developed application was tested. Applications that have been implemented are then assessed by research subjects to determine their effectiveness. The research results obtained are: the application of e-learning Moodle as a medium in solving mathematical problems was declared to meet the validity and effectiveness. These results were obtained after being tested for validity by experts, which consisted of validating problem-solving instruments in the form of materials and problem-solving questions, all of which were in the valid category, namely 3.36, where the material aspect was 3.40 and the aspects of problem-solving questions problem is 3.33. Meanwhile, for application validation that is in the very valid category, the average validator value is 3.50. This application was effectively used based on student assessments of the efficiency of the application, display, and use of language which are in the very effective category with an average student assessment of 3.61 with a percentage of 90% so that this application was suitable for problem-solving for Mathematics Education students at the Islamic Institute of Muhammadiyah Sinjai.
Analysis of Students' Satisfaction Level on iLearn Quality during COVID-19 Pandemic with WebQual 4.0 and PLS-SEM Izzati Rahmi HG; Frilianda Wulandari; Dodi Devianto
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7440

Abstract

Andalas University implements a Learning Management System (LMS) named iLearn as an online learning facility to carry out the learning process during the COVID-19 pandemic. This research analyzes the influence of iLearn quality on students' satisfaction levels. iLearn quality is measured by WebQual 4.0 instrument, which consists of three variables, i.e. Usability, Information Quality, and Service Interaction Quality. To analyze the relationship between the WebQual 4.0 variables and students' satisfaction, we used Partial Least Squares - Structural Equation Modeling (PLS-SEM) method. The research sample is 100 students of the Mathematics Department of Andalas University who were enrolled in iLearn. Based on data analysis, the structural equation model for the students' satisfaction level is obtained. From the model, the variables that significantly affect the Student Satisfaction Level are Usability and Service Interaction Quality, with a P-value of 0.001. In contrast, the Information Quality has a low significance in influencing students' satisfaction levels in iLearn quality with a P-value of 0.420. Improvements on iLearn quality can be made by reviewing these measured indicators. 
Profile of Student Algebraic Thinking with Polya's Problem-Solving Strategy: Study on Male Students with Field Independent Cognitive Style Nur Hardiani
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6915

Abstract

This study aims to describe the profile of students' algebraic thinking with Polya's problem solving strategy in completing a linear program conducted on male students with field independent cognitive style. This research is exploratory research with qualitative approaches. In accordance with the purpose of the study, the subject (single subject) were male student with field independent cognitive style. Single subject were screened from 119 participants (male students in grade X) at a high school in the city of Mataram, Indonesia. The criteria for determining a single subject are male students with field independent cognitive style, and having the highest math scores on linear algebra material. The research instrument consisted of the main instrument (researcher/human instrument) which interacted directly with the subject to explore the subject's algebraic thinking profile, and research aid instruments consisting of the GEFT test, mathematical ability test, linear programming tasks, and interview guidelines. Through Polya's problem solving, the students' algebraic thinking profile has been described, where the subject has represented mathematical ideas using algebraic expressions, the subject interprets algebraic expressions; the subject uses symbolic representations, formulations, and expressions of equations using algebraic conventions; and the subject can interpret the solution.
The Students Thinking Process in Constructing Evidence with Mathematics Induction Reviewed from Information Processing Theory Buhaerah Buhaerah; Muhammad Nasir; Kamarrussama Jusoff
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7814

Abstract

This study describes the student's thought process in constructing evidence that begins with a stimulus. The stimulus is then entered into the sensory register through the senses of sight and hearing. The attention that occurs is focused on the complete problem as indicated by the emergence of perceptions about stimuli following the information given, namely solving the problem by mathematical induction. In short-term memory, the construction of proofs by mathematical induction begins in retrieving the concepts of mathematical induction principles. The research subjects were six students of Tadris Mathematics; namely, two people with high abilities or the upper group, two people with low skills or the lower group, and two people with medium abilities or the middle group. The retrieval process in students belonging to the upper group runs smoothly. In the long-term memory of the issues of this group, the knowledge needed by working memory is stored. Proof of truth by mathematical induction is interpreted correctly, proving the truth for n=1 to n=k+1. The assumption of truth for n=k is the basis for establishing the truth for n=k+1 by upper group subjects. This is different from what happened to the topics of the middle and lower groups. The assumption of truth for the written value of n=k is not involved in proving the truth for n=k+1. The encoding process that occurs in students is in the form of strengthening some concepts that have been retrieved from long-term memory.
Development of Higher Order Thinking Skills Test based on Revised Bloom Taxonomy Irfan Hilmi; Nindy Fadlila; Eka Ramadanti; Heri Retnawati; Elly Arliani
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7292

Abstract

The unequal amount of questions that test students' lower and higher-order thinking skills is a concern in mathematics learning evaluation. The unequal amount of questions resulted in poor cognitive levels among students. The purpose of this study is to develop questions that may be used to assess the higher-order thinking skills of senior high school pupils and fulfill the requirements of being valid, practical, and effective. This study is a developmental research that employs the formative evaluation model. Validation sheets, student evaluation sheets, and examinations that measure students' higher-order thinking skills are among the data gathering procedures employed. According to the researchers' findings, the questions generated matched the valid, practical, and effective requirements. The valid criteria are based on the validators' assessments, and both validators agree that the questions created are good and possible to utilize with a few adjustments. Student answer papers to the established questions serve as the basis for practical criteria. According to the response form, 85 percent of pupils answered positively to the questions. Effective criteria are based on pupils' abilities to answer the questions that have been established. According to the test findings, 85 percent of students satisfied the minimal completeness requirements for both questions testing higher-order thinking skills, indicating that the questions were effective. The questions that have been developed by researchers can be used by teachers to evaluate students' higher-order thinking skills so that teachers do not only provide questions that measure students' lower-order thinking skills. In addition, the questions that have been developed can be used as a reference for developing questions that can measure students' higher-order thinking skills.
The Four-Distance Domination Number in the Ladder and Star Graphs Amalgamation Result and Applications Ilham Saifudin; Hardian Oktavianto; Lutfi Ali Muharom
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6628

Abstract

The study purpose is to determine the four-distance domination number in the amalgamation operation graph, namely the vertex amalgamation result graph of ladder graph Amal(L_m,v,n) with m≥2 and n≥2 and the vertex amalgamation result graph of a star graph with its name Amal(S_m,v,n) with m≥2 and n>2. In addition, the application use the Four-distance domination number on Jember Regency Covid-19 taskforce post-placement. The Importanceof this research, namely the optimal distribution of the Covid-19 task force post. It is not just doing mask surgeries every day on the streets. The optimal referred to can be in the form of integrated handlers in each sub-district or points that are considered to need fast handling so that coordination between posts can respond and immediately identify cases of transmission and potential infections due to interactions with patients who are already positive. The methods used in this research are pattern recognition and axiomatic deductive methods. The results of this study include:γ_4 (Amal(S_m,v,n))=1; for m≥2 and n≥2, γ_4 (Amal(L_m,v,n))={■(1; for 2≤m≤4 @⌊m/8⌋n+1 for m≡0,1,2,3,4 (mod 8)@⌈m/8⌉n; for others m ) ┤ and based on the Indonesia Country, Jember Regency Map, 2 Covid 19 task-force posts are needed to be placed in Balung and Kalisat sub-districts using the Four-distance domination number application. 
The Model of Creative Thinking, Critical Thinking, and Entrepreneurial Skills Among University Students Wanda Nugroho Yanuarto; Ira Hapsari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7467

Abstract

Digital skills for the twenty-first century are comprise of four fundamental capabilities: cognition abilities; process capabilities; systems capabilities; and social skills. Using one's ability to think creatively to demonstrate cognitive abilities can be very effective. On the other hand, critical thinking is a skill that can be developed at the university level and is used to transform raw data into meaningful information. Furthermore, the study purpose is investigate the relationship the entrepreneurial skills in students in the world of education, both in terms of educational and economic issues. Researchers are looking into the relative importance of creative thinking (CRE), critical thinking (CRI), and entrepreneurial skills (ETS) as primary predictors of success when it comes to learning and mastering skills in the technologically advanced development society (TCDS). In this study, which takes a quantitative approach, a cross-sectional survey gathers data. In order to analyze the relationship formed by CRE, CRI, and ETS among university students in TCDS, we used the structural equation model (SEM) method. In this study, 85 students from the Faculty of Teacher Training and Education, and 315 students from the Faculty of Economics and Business at Universitas Muhammadiyah Purwokerto participated, for a total of 315 students. The following research procedures were used in this investigation: (3) The relationship between CRE, CRI, and ETS was determined using a Structural Equation Model (SEM). In addition, the findings of this study include the following points: The EFA and CFA analysis revealed that the CRE construct contained four valid sub-constructs, while the CRI and ETS constructs each contained five valid sub-constructs. The results of the SEM analysis revealed a statistically significant relationship between CRE, CRI, and ETS, with a moderately significant relationship between CRE and ETS ( = 0,291), as well as a statistically significant relationship between CRI and ETS ( = 0,143). The correlation between CRE and CRI, on the other hand, was found to be high ( = 0.894). Finally, demonstrate that the CRE, CRI, and ETS have played a role in improving the performance of university students during the TCDS era.

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