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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
 1   2 
Search results for , issue "Vol 5, No 2 (2021): October" : 20 Documents clear
On Relations between Some Types of (α,β)-Intuitionistic Fuzzy Ideals of Ternary Semigroups Hutama, Damarian Prawira; Hidayat, Noor; Al-ghofari, Abdul Rouf
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.v5i2.5171

Abstract

In this article, the notion of (α,β)-intuitionistic fuzzy ideals (briefly, (α,β)-IF ideals) of ternary semigroups is described using ”belong to” relation (ϵ) and “quasi-coincidence with” relation (q) connecting two objects, i.e., an intuitionistic fuzzy point (IFP, for short) and an intuitionistic fuzzy set (briefly, IFS). Throughout this paper, α∈{ϵ,q,ϵ∨q} and β∈{ϵ,q,ϵ∨q,ϵ∧q}.  The main purposes of this research are to construct the definition of (α,β)-intuitionistic fuzzy ideals of ternary semigroups and to investigate the relations between some types of these ideals. To achieve these goals, we use literature review method to study previous researches regarding (α,β)-fuzzy ideals of ternary semigroups and (α,β)-IF ideals of semigroups. As a result, we find the conditions for an IFS and an ideal of a ternary semigroup to be classified as an (α,ϵ∨q)-IF ideal of ternary semigroup. Relations between some types of (α,β)-IF ideals of a ternary semigroup are also discussed here.
The Characteristics of the First Kind of Chebyshev Polynomials and its Relationship to the Ordinary Polynomials Maulidi, Ikhsan; Wibowo, Bonno Andri; Apriliani, Vina; Umam, Rofiqul
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.v5i2.4647

Abstract

In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number. The symmetry and orthogonality of the Chebyshev polynomial has also been demonstrated using the explicit solutions obtained. Furthermore, we have also given how to approx the polynomial function using the Chebyshev polynomials.
Dynamical Analysis of the Symbiotic Model of Commensalism in Four Populations with Michaelis-Menten type Harvesting in the First Commensal Population Puspitasari, Nurmaini; Kusumawinahyu, Wuryansari Muharini; Trisilowati, Trisilowati
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.v5i2.4727

Abstract

This study discusses the dynamical analysis of the symbiosis commensalism and parasitism models in four populations with Michaelis-Menten type harvesting in the first commensal population. This model is formed from a construction of the symbiotic model of commensalism and parasitism by harvesting the commensal population. This construction is by adding a new population, namely the second commensal population. Furthermore, it will be investigated that the four populations can coexist. The first analysis is to identify the conditions of existence at all equilibrium points along with the conditions for their existence and local stability around the equilibrium point along with the stability requirements. From this model, it is obtained sixteen points of equilibrium, namely one point of extinction in the four populations, four points of extinction in all three populations, six points of extinction in both populations, four points of extinction in one population and one point where the four populations can coexist. Of the sixteen points, only four points can be asymptotically stable if they meet the stability conditions that have been determined. Finally, a numerical simulation is performed to describe the model behavior. In this study, the method used in numerical simulation is the RK-4 method. The numerical simulation results that have been obtained support the dynamical analysis results that have been carried out previously.
The Comparison Results of Logit and Probit Regression on Factors of Woman Criminal Nisa, Eva Khoirun; Muanalifah, Any
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.v5i2.4150

Abstract

Logit and probit regression are statistical methods that have the same is to determine predictor variables affect the categorical response variable. From relevant studies, they have advantages and disadvantages on certain cases. Therefore, the logit and probit regression will be applied on factors of woman criminal considering women crime rate in Central Java is still relatively high. This study aims to compare the result of the two regression so that the best regression model is obtained to explain factors that influence woman criminal. The data type used is primary data obtained using a questionnaire and validated by non-empirical validation. The sample was taken using a quota sampling technique. The result showed that probit regression is the best model with the factors that influence woman criminal are the age of 17-25 years, 26-35 years, junior high school education level, married and ever married marital status.
The Development of Bilingual Teaching Materials on Mathematical Logic Based on Integrated Mathematics Riana, Riana; Ibrahim, Malik
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.v5i2.5333

Abstract

This research aims to develop bilingual teaching materials mathematical logic integrated with Islamic religious values, to more easily convey mathematical materials with everyday life. This development research uses 4D models (define, design, devlop, disseminate). The subject of this study is student of university nahdlatul ulama west nusa tenggara. The instruments used are satisfaction questionnaires and validation questionnaires. Validity includes expert media validation, linguist validation, and validation of the substance of mathematical material. Research results based on expert validation include aspects of the feasibility of teaching materials getting a score of 91.5% with very decent criteria, and aspects of the validity of teaching materials reaching 210 with “highly valid” criteria, aspects of practicality of teaching materials reaching 90%. Based on these results, the bilingual teaching material integrated mathematical logic developed practically and validly for use.
Adaptive Reasoning, Mathematical Problem Solving and Cognitive Styles Yanti, Aning Wida; Budayasa, I Ketut; Sulaiman, Raden
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.v5i2.4652

Abstract

The purpose of this research finds a link between adaptive reasoning, mathematical problem solving, and cognitive style. This research is a literature study. This paper showed the relationship between adaptive reasoning, mathematical problem solving, and cognitive styles. In particular, field-independent (FI) and field-dependent (FD) cognitive styles. Adaptive reasoning in mathematical problems is the legitimacy of problem strategies. Whereas the cognitive style provides opportunities for students to give reasonable arguments according to the tendency of the cognitive style. Mathematical problem-solving in the FI and the FD can vary according to students' cognitive styles. It was found that adaptive reasoning, mathematical problems, cognitive styles (FI, FD) have a strong stylistic relationship where adaptive reasoning will be able to give direction to students in solving math problems. Therefore, the basis for researching the adaptive reasoning profile of students in solving mathematical problems in terms of FI and FD cognitive styles is our understanding of the relationship between adaptive reasoning, mathematical problem solving, and cognitive style
Statistical Skills Analysis of Students Using Online-Learning Platforms such as Whatsapp, Youtube, and Zoom Meetings during Covid-19 Pandemic Bina, Nuraini Sri; Ramadhani, Rahmi; Andhany, Ella; Wardani, Hizmi
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.v5i2.5166

Abstract

Education as a result of the Covid-19 pandemic has undergone transformation related to the learning process from face-to-face learning process to online-based learning process that utilizes various online platforms, such as WhatsApp, YouTube, and Zoom Meetings. The use of online platforms helps students to improve their cognitive skills, one of which is statistical skills. This study aims to determine whether there is a significant statistical difference between learning using WhatsApp, YouTube, and Zoom Meetings during online learning and to find out which online platforms are effective and interactive. The research sample consisted of 69 students taking statistics courses. The research method is mix-method or mix of quantitative and qualitative. The data collection techniques are online-based test instruments, questionnaires and interviews. The data analysis used Kruskal Wallis test and descriptive analysis test. The results showed that there were differences in students' statistical skills between the three classes, where the best came from learning using YouTube platform. The findings also show that students give higher positive responses to the use of YouTube as platform in online learning. The interview results show that the use of YouTube is more effective and interactive for students while participating in online-based learning. By that means, YouTube platform is effective in improving statistical skills in online learning.
Automatic Aircraft Navigation Using Star Metric Dimension Theory in Fire Protected Forest Areas Saifudin, Ilham; Umilasari, Reni
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.v5i2.4331

Abstract

The purpose of this research is to determine the navigation of an unmanned aircraft automatically using theory of the metric dimension of stars in a forest fire area. The research will also be expanded by determining the star metric dimensions on other unique graphs and graphs resulting from amalgamation operations. The methods used in this research are pattern recognition and axiomatic deductive methods. The pattern detection method is to look for patterns to construct differentiated sets on the metric dimension (dim) so that the coordinate values are minimum and different. Meanwhile, axiomatic deductive is a research method that uses deductive proof principles that apply in mathematical logic by using existing axioms or theorems to solve a problem. Then the method is used to determine the stars' metric dimensions.
Approach in Improving Student's Mathematical Understanding Abilities Ammy, Putri Maisyarah
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.v5i2.4743

Abstract

The purpose of this study was to determine whether learning with a problem-posing approach could improve students' mathematical understanding skills. The method used in this research is the literature review method, which is the activity of reviewing or exploring several articles, books, and documents (both printed and electronic), as well as data sources or other information that are considered relevant to the study. The data collection technique used in this research is the documentation method. The data analysis technique used was content analysis. Content analysis is used to obtain valid inferences and can be re-examined based on the context. To maintain the immutability of the assessment process and prevent, and overcome misinformation (a human misunderstanding that can occur due to a lack of researcher's knowledge or a lack of literature writers), inter-literature checks are carried out and re-read the literature and pay attention to the supervisor comments. Based on the results of data analysis from articles that have been carried out, it can be concluded that learning using the problem-posing approach can improve students' mathematical understanding abilities, marked by the increase in learning outcomes of students who learn using the problem-posing approach than students who use conventional learning.
Breast Cancer Survival Analysis Using Cox Proportional Hazard Regression and Kaplan Meier Method Farida, Yuniar; Maulida, Eka Agustina; Desinaini, Latifatun Nadya; Utami, Wika Dianita; Yuliati, Dian
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.v5i2.4653

Abstract

Breast cancer is one of the malignant tumors that begins in the breast cells that develop and attack the surrounding tissues; according to World Health Organization (WHO), breast cancer is globally declared the top five killer cancers. In Indonesia, breast cancer becomes the number one killer cancer.  One of the successes in breast cancer treatment is if the cure obtained by cancer patients can be proven to have the same life expectancy as those who do not have breast cancer.This study aims to know the probability of survival of breast cancer patients and know the factors that affect breast cancer patients' survival. The data were consist of 394 medical records of breast cancer patients at Dr. Soetomo Hospital Surabaya in the period January 2018 – December 2019, with variables used, i.e., initial age of infection, clinical stage, tumor size, metastatic to other organs, type of treatment, and patient status (life or death). This study using Kaplan Meier and Cox Proportional Hazard regression methods, and the result showed that the probability of survival of breast cancer patients (with data samples) was 0.737 or 73.7%. The variables that significantly affect breast cancer patients' survival are the initial age of infection, the clinic stage, and the tumor's size. This research provides information and motivation to the community related to life expectancy, especially in breast cancer patients, to stay motivated in the healing process. In addition, this research is also used to add insight to academics, especially the department of statistics, regarding the regression of Cox Proportional Hazard in analyzing the survival of breast cancer patients.

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