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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.
Arjuna Subject : -
Articles 540 Documents
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Dynamic Analysis of COVID-19 Model with Quarantine and Isolation Rois, Muhammad Abdurrahman; Trisilowati, Trisilowati; Habibah, Ummu
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.5167

Abstract

This study discusses the dynamic analysis of the COVID-19 model with quarantine and isolation. The population in this model is divided into seven subpopulations: subpopulation of susceptible, exposed, asymptomatic, symptomatic, quarantine, isolated and recovered. Two equilibrium points were obtained based on the analysis results, namely the disease-free and endemic equilibrium points. The existence and local stability of the equilibrium point depends on the value of the basic reproduction number . Then, the point of disease-free equilibrium always exists, and the point of endemic equilibrium exists when it meets . The point of disease-free equilibrium is locally asymptotically stable when it satisfies  and the endemic equilibrium point is locally asymptotically stable with conditions. Furthermore, numerical simulations are carried out to determine the model's behavior using the fourth-order Runge-Kutta method. The numerical simulation obtained supports the dynamic analysis results. Finally, the graphical results are presented. The findings here suggest that human-to-human contact is a potential cause of the COVID-19 outbreak. Therefore, quarantine of susceptible and exposed subpopulations can reduce the risk of infection. Likewise, isolation of infected subpopulations can reduce the risk of spreading COVID-19.
Game Chromatic Number of Shackle Graphs Firmansyah, Firmansyah; Mujib, Abdul
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.4464

Abstract

Coloring vertices on graph is one of the topics of discrete mathematics that are still developing until now. Exploration Coloring vertices develops in the form of a game known as a coloring game. Let G graph. The smallest number k such that the graph G can be colored in a coloring game is called game chromatic number. Notated as χ_g (G). The main objective of this research is to prove game chromatic numbers from graphsThis study examines and proves game chromatic numbers from graphs shack(K_n,v_i,t),shack(S_n,v_i,t), and shack(K_(n,n),v_i,t). The research method used in this research is qualitative. The result show that χ_g (shack(K_n,v_i,t))=n,and χ_g (shack(S_n,v_i,t))=χ_g (shack(K_(n,n),v_i,t))=3.  The game chromatic number of the shackle graph depends on the subgraph and linkage vertices. Therefore, it is necessary to make sure the vertex linkage is colored first.
Increase and Decrease in Toxoplasmosis Infected Birth Rate from the Sensitivity Analysis Meri Hari Yanni; Teuku Afriliansyah; Sulasri Suddin
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.3842

Abstract

This article aims to look at the dynamics of the toxoplasmosis epidemic with the effect of vaccination by increasing and decreasing the birth rate of infected with toxoplasmosis. The method used in this research is literature study and continued by using numerical simulation analysis. The research procedure used in this study is to simulate and analyze the parameters that affect the population. Some of the data used are secondary data on toxoplasmosis sufferers obtained from the Banda Aceh Health Office in 2018. From the numerical simulation results of the toxoplasmosis epidemic model with the vaccination effect, it was found that when the birth rate was infected with toxoplasmosis increased by at 5% then the number of individuals infected with toxoplasmosis, controlled individuals and the number of vaccinated individuals increases with the basic reproductive number Ro > 1. In this condition, there are no individuals who are susceptible to toxoplasmosis again so that vaccination for susceptible individuals can quickly overcome the spread of toxoplasmosis. Furthermore, the rate of births infected with toxoplasmosis decreases of 5% is obtained search population in the toxoplasmosis epidemic model has decreased with the basic reproduction number Ro <1. In this condition, the number of individuals in each population has decreased, resulting in the spread of toxoplasmosis disappeared from the population. So that this research can contribute to health science and the government in overcoming the toxoplasmosis epidemic.
How to Train Students' Mathematical Communication Skills Through Generative Learning?: An Evaluation of Circle Material Eva Dwi Minarti; Wahyudin Wahyudin; Bambang Avip Priatna Martadiputra
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.4719

Abstract

The purpose of this study is to apply the Generative Learning model to circle material in order to train students' communication skills. In previous research from the author and several studies that have been conducted by researchers, it was found that the Generative Learning model can improve Students' Mathematical Communication skills. On this occasion, it was explained how the Generative Learning Model can train students' communication skills. The research subjects were 25 students of class VIII from one of the State Junior High Schools in Bandung for the 2019/2020 academic year. The method in this research is qualitative. Data obtained through observation and interviews during learning circle material using a generative learning model takes place. The results showed that through the steps in the generative learning model, namely the orientation; the idea stage; the challenge and restructuring; the implementation and; the review stage, can: (1) increase student interaction in learning, (2) stimulate students to create mathematical models; (3) train students in arguing based on analysis of images and concepts; (4) explain ideas, mathematically in writing with pictures.
An Accurate Analytical-Numerical Iterative Method for the Susceptible-Infected-Recovered Epidemic Models Sudi Mungkasi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.3876

Abstract

We consider Susceptible-Infected-Recovered (SIR) models of infectious disease spread without and with vital dynamics. We recall some existing analytical approximate iterative methods for solving these models. We observe that all these methods solve the models accurately only for points close to the initialisation. These methods produce inaccurate, and even, unrealistic solutions to the SIR models if the time domain is sufficiently large. In this paper, our research objective is to propose an analytical-numerical iterative method, which is able to solve the SIR models accurately on the whole domain. The research method used is quantitative mathematical modelling with simulation. By implementing this analytical-numerical iterative method into a finite number of small consecutive subintervals of the domain, our research results show that the proposed method produces accurate solutions to the SIR models on the whole domain.
Application of the Mathematics Curriculum in Intan Cendekia Islamic Kindergarten at Mataram City Lukman, Lukman; Hastuti, Intan Dwi; Junaidin, Junaidin; Gani, Arsyad Abd.
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.5168

Abstract

The purpose of this study was to describe the application of the Mathematics Curriculum at Intan Cendekia Islamic Kindergarten in Mataram City. The research utilized descriptive qualitative research and three teachers and one principal as research subjects. Data collection was carried out using observation, interviews, and documentation. The data that has been collected was analyzed using qualitative descriptive data analysis techniques, which were carried out continuously with data analysis activities, namely: data reduction, data display, and conclusion draining/verification. The results of the study show that the application of the mathematics curriculum in the kindergarten consists of planning mathematics learning, implementing mathematics learning, and assessing mathematics learning. Learning planning starts from preparing curriculum planning which consists of planning learning methods, planning space and plays centers, and planning learning process documents. The implementation of mathematics learning with the play method and the content of the initial mathematical concepts, namely matching, grouping, serialization, geometry and numbers. While for assessment applied observation assessment, an anecdotal record of performance assessment, and product assessment.
Teachers’ Improvisation of Instructional Materials and Mathematics Learning Gains among Students in Kwara State: Counselling Implications Olanrewaju, Muraina Kamilu; Ibrahim, Umar Talatu; Verma, Kirti
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.4631

Abstract

The purpose of this study was to investigate the assessment of teachers’ improvisation and utilisation of instructional materials as determinants of mathematics learning gains among secondary school students in Kwara State: Counselling Implications. Descriptive research design of ex-post-facto type was used in the study. Three hundred and seventy two respondents were selected randomly from 10 Local Government Area in Kwara State, Nigeria. The respondents were measured with validated scale and the data obtained was analyzed using the Pearson Product Moment Correlation (PPMC) and Multiple regression statistical analysis. Three research questions were raised and answered in the study. The result showed that mathematics learning gains among secondary school students is significantly correlated with teachers’ improvisation of instructional materials (r = .863; p<.05) and teachers’ utilisation of instructional materials (r= .783; p<.05), the independent variables when pulled together have significant effect on mathematics learning gains (R (adjusted) =.837 & R2 (adjusted) =.745) with 74.5% variance accounted for mathematics learning gains and each of the independent variables made a significant contribution to the prediction of mathematics learning gains. In view of these findings, the study recommended that relevant professional bodies like mathematics Association of Nigeria (MAN) and Counselling Association of Nigeria (CASSON) should organize seminar or workshops during annual conferences to train teachers about the techniques that will be used to bring a total change in teaching mathematics contents.
Development of Mathematics Didactic Design with Integration of Peer Instruction Regarding Representational Ability of High School Students Komala, Elsa; Suryadi, Didi; Dasari, Dadan
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.5172

Abstract

This study focuses on the ability of representation with the integration of peer instruction which was developed through didactic design development research. The purpose of this research is to develop a didactic design in the form of learning tools, which are referred to in this study, namely: Lesson Plans, Teaching materials in the form of Student Worksheet in the form of student guides containing material information, sample questions, and practice questions. According to the problems experienced by students related to the ability of representation. The process of developing learning tools using Didactical Design Research (DDR), consists of didactic situation analysis, metapedadidactic analysis, and retrospective analysis. The didactic design developed was validated by 3 experts, namely 1 mathematics education lecturer and 2 high school mathematics teachers. The results showed that the learning plans were obtained in the form of a didactic design in the form of lesson plans that integrated peer instruction and worksheets for 8 meetings with the overall results of each aspect of the learning device being analyzed descriptively by revising the didactic design based on input and notes from the validator. Mathematics didactic design in high school to minimize learning obstacles related to students' representational abilities, includes 1) The material begins with the introduction of problems that are suitable for the situation and even related to the context of daily life, providing an overview of the benefits of the material to be studied, 2) Strengthening the material prerequisites presented at the first meeting, 3) Integrating peer instruction in the implementation of mathematics learning, 4) Providing scaffolding at the time of learning, 5) Student work and assignments are corrected and confirmed directly. In addition, the process of strengthening the visual representation process, modeling or mathematical expression, and the process of making written words presented on the worksheets is also carried out. Thus, the mathematical didactic design with the integration of peer instruction has provided appropriate learning activities; the purpose, depth and accuracy of the concepts and materials presented are traceable, communicative, the clarity of the images and spelling is appropriate, there is no correction given by the validator, so it can be implemented with the aim of developing students' mathematical representation abilities.
Applied Mathematics for Pharmaceutical Problems Using Robotics as Assistive Tools for Learning: A Comprehensive Review Singhai, Manu; Singhai, Akhilesh Kumar; Verma, Kirti
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.4720

Abstract

Smart machine endures getting smarter as they are going to access more about the facts and pieces of evidence that make our work even more authentic than before. The term “robot” was created in 1920 by Czechoslovakian playwright Karel Capek and has been a principal point in science fiction ever since. Pharmacy automation involves machine-driven or mechanical processes of distributing, dispensing and managing medications. Pharmaceutical organizations take advantage of robotics to manoeuvre biological or chemical samples around to integrate novel chemical structure or to test the pharmaceutical value of remaining organic material. Pharmaceutical applications with aid of robotic systems are progressively accepted for enhanced throughput and proficiency to satisfy this growing demand, within a rapidly ageing population that directly requires sophisticated medical devices and newer drugs. According to Robot IQ, mathematics is one of the few main robotics attributes that cannot be learned along the way. A good background in many fields of mathematics and science is needed for robotics at the very least. Several studies have shown that robotics is an effective medium for teaching STEM (Science, Technology, Engineering, and Mathematics) skills to students. Thus, Novel methods are under development in machine learning, symbolic reasoning and signal processing which may be utilized in production and packaging concerned to the pharmaceuticals. The target is to review the Planning, Safety, Reliability, Accuracy, Quality, Flexibility, Redeployment, Efficiency and other vital applications of Robotics in Pharmacy.
Exploring Students’ Interpretation Skills on Data of Covid-19 Infographic Relating to Statistic Sihotang, Rebecca Ester Marsaulina; Zulkardi, Zulkardi; Aisyah, Nyimas
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.4043

Abstract

This study aimed to determine the ability to interpret the Covid-19 infographic data relating to statistics. This research was a descriptive study with a qualitative approach and using online system. The data collection techniques are carried out through test of the ability of interpreting the Covid-19 infographic data and interview. The subjects of this study were students of grade VII, Junior High School 1 Palembang which consisted of 4 students with various ability. The most common indicators are reading simple graph, reading a trend in graph and extracting qualitative information from quantitative information. The least likely indicator is reading key features from graphs and comparing information from two graphs.

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