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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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Clustering the Distribution of COVID-19 in Aceh Province Using the Fuzzy C-Means Algorithm Nurdin, Nurdin; Fitriani, Suci; Yunizar, Zara; Bustami, Bustami
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8576

Abstract

COVID-19 is a virus that attacks the respiratory system in humans and spreads rapidly. The government has taken various ways to reduce the rate of transmission of COVID-19, including by providing a COVID-19 information center that can be accessed by anyone, but there is no grouping of regional zones with high to low COVID-19 cases. Therefore, a clustering process system for the spread of COVID-19 is needed so that it is able to provide information on clusters of COVID-19 distribution areas in Aceh with the highest case zone (red zone), medium case zone (yellow zone), and low case zone (green zone). The steps carried out in this study using the Fuzzy C-Means Algorithm are collecting data (input data), conducting the clustering process (determining the number of clusters, weighting rank, maximum iteration and epsilon), displaying clustering results. In this study, the authors collected COVID-19 data from 23 districts/cities in Aceh using 6 variables consisting of confirmed, in care, healed, died, suspected, and probable. The results of the clustering study on the spread of COVID-19 are as follows: One district/city in cluster 1 (red zone), the four districts/cities in cluster 2 (yellow zone), eighteen districts/cities in cluster 3 (green zone). Based on the results of this study, the Fuzzy C-Means Algorithm can be used and applied properly in clustering the spread of COVID-19 in the Province of Aceh. 
E-Module Of Cube And Cuboid Based On Ethnomathematics For Five-Grade Elementary School Students Triwahyuningtyas, Dyah; Mahmuda, Novia Eka; Ardila, Ardila
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8434

Abstract

The background of this research is to produce and develop cube and cuboid material e-module products centred on regional culture. The teaching materials are still printed books containing material and questions without any complex mathematical concepts, so there is a lack of linking regional culture with mathematics. That affects the lack of understanding of students' ethnomathematics during the geometry material pandemic. This study aims to develop an e-module cube and cuboid based on ethnomathematics for fifth-grade elementary school students. Research development methods with 4D include definition, design, development and deployment. The data was analyzed using quantitative and qualitative data analysis techniques through media and material expert validators and teacher and student response questionnaires. The results showed that the e-module cube and cuboid based on ethnomathematics were declared feasible or valid with an average score of 82.5%. They used e-modules through teacher and student response questionnaires and obtained an average score of 85%, which was stated to be very practical. Therefore, it affects students' cognitive understanding of cube and cuboid material with an average value of 84.1. The ethnomathematics-based e-module cube and cuboid can help students improve their contextual abilities.
How to Design Student Worksheet Based ELPSA Model to Improve Understanding of Mathematics Concepts? Mayasari, Dian; Natsir, Irmawaty; Zulfiah, Mia
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8622

Abstract

Understanding of mathematics concept is the most important resolution in learning where students not only memorize the material but can understand and apply it in their daily lives. The ELPSA learning model can improve students' understanding of concepts through learning experiences, developing communication, presenting images in the form of visualizations, symbolizing in general terms, and as the application of the knowledge that has been obtained (application). This study aims to produce a product in the form of an ELPSA-based Student Worksheet that meets the criteria of being valid, practical, effective and has the potential to improve students' conceptual understanding. The method of this research is a 4D development model which is modified into 3D (Define, Design, and Develop). data collection instruments consist of observations, questionnaires and tests. This research produces valid, practical and effective student worksheets that can improve students' understanding of mathematical concepts. The results of this study indicate that the student worksheets are valid with good criteria. The student response questionnaire are 85.6% so it can be concluded that the student worksheets used are practical and can be used in learning. The effectiveness of obtaining a posttest average value of 87.06 with a percentage of 92.5% of students declared complete in learning. Student worksheets are said to be effective if student learning outcomes are declared complete. Mastery learning classically is said to be effective if it has reached 75% of the total number of students. Finally, student worksheets can improve students' understanding of mathematical concepts seen from the pretest and posttest questions that have been given. Student worksheets that have been applied can be a contribution for teachers to improve students' mathematical understanding in learning. 
Designing Closed-Ended Questions into Open-Ended Questions to Support Student’s Creative Thinking Skills and Mathematical Communication Skills Septiani, Syilvia; Retnawati, Heri; Arliani, Elly
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8517

Abstract

The ability of creative thinking and mathematical communication is important in learning mathematics. However, in fact mathematics learning in schools today has not shown an optimal effort to help students develop creative thinking skills and mathematical communication skills. The purpose of this study is to examine the use of open-ended questions in mathematics learning and in the evaluation of mathematics learning to support the ability of creative thinking and mathematical communication skills of students, this will be implemented in the perspective of literature review. The type of research used is a systematic and structured literature review, where researchers synthesize relevant study results from international and national literature through Google Scholar, Eric, DOAJ, Scopus and ScienceDirect. Based on the analysis results obtained that mathematical learning using open-ended questions is effectively used to support the ability of creative thinking and mathematical communication skills of students; the provision of open-ended questions can be familiarized with providing learning methods leading to an open-ended approach; the test in the form of open-ended questions can be used as a tool to measure the ability of creative thinking and mathematical communication skills of students; the use of open-ended question can be applied to all levels of education; and the need for high creativity from teachers to prepare learning by applying open-ended questions.
The Development of Islamic Context Learning Materials to Facilitate the Conceptual Understanding of Mathematics Novikasari, Ifada; Ulpah, Maria
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8364

Abstract

This research was conducted to develop and produce Islamic context-based mathematic learning material. The presentation of Islamic context for pre-service mathematics teachers was intended to facilitate conceptual understanding. This learning material contains rank and root, ratio and scale, and material for flat shapes and spatial shapes. The material is included in the Mathematics Materials Study course for Junior Secondary Education in the Mathematics Teacher Education program. The method in this study uses design research with the type of development study with a qualitative approach. The research phases include the preliminary research phase, the development or prototyping phase, and the assessment phase. The data were collected by filling out a learning material scoring scale by Education and Language expert and an Islamic Study expert. The quality criteria for learning material have valid results if the experts score it with excellent and valid categories. Thus, they do not need significant revision. Based on the research results, the quality of Islamic context-based mathematics learning material is classified into valid criteria at a percentage of 84% according to Mathematics Education experts and a percentage of 83.3% according to Education and Language experts and classified as an excellent category at a percentage of 94% according to Islamic Study expert. Based on these results, the product of Islamic contextual mathematics teaching materials is suitable for use in mathematics lectures. 
Principal Component Regression Modelling with Variational Bayesian Approach to Overcome Multicollinearity at Various Levels of Missing Data Proportion Balqis, Nabila Azarin; Astutik, Suci; Solimun, Solimun
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.10223

Abstract

This study aims to model Principal Component Regression (PCR) using Variational Bayesian Principal Component Analysis (VBPCA) with Ordinary Least Square (OLS) as a method of estimating regression parameters to overcome multicollinearity at various levels of the proportion of missing data. The data used in this study are secondary data and simulation data contaminated with collinearity in the predictor variables with various missing data proportions of 1%, 5%, and 10%. The secondary data used is the Human Depth Index in Java in 2021, complete data without missing values. The results indicate that the multicollinearity in secondary and original data can be optimally overcome as indicated by the smaller standard error value of the regression parameter for the PCR using VBPCA method which is smaller and has a relative efficiency value of less than 1. VBPCA can handle the proportion of missing data to less than 10%. The proportion of missing data causes information from the original variable to decrease, as evidenced by immense MAPE value and the parameter estimation bias that gets bigger. Then the cross validation (Q^2 ) value and the coefficient of determination (adjusted R^2 ) are get smaller as the proportion of missing data increases. 
Reflective Thinking Profile of High School Students in Solving Hots-Type Questions Reviewed from Adversity Quotient Sumardi, Sumardi; Tyas, Anggit Cahyaning
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.9376

Abstract

The many Adversity Quotient kinds that each individual possesses will have an impact on how they respond to addressing difficulties. The person's efforts to tackle the current difficulties get more difficult as their degree of Adversity Quotient rises.This study's purpose is to describe students' reflective thinking profile in solving HOTS-type questions in terms of level adversity quotient. The subjects of this study, namely three students from class X of senior high school, were taken based on the Adversity Responses Profile (ARP) questionnaire results. The data collection techniques carried out by this study include analysis of test answer results and in-depth interviews. In addition, source triangulation is used for the validity of the data. Data analysis is carried out through five stages: data collection, data reduction, data presentation, data verification, and conclusions. The data table is obtained from the results of the analysis of the answers to the three questions presented in the form of tables based on the components of reflective thinking and problem-solving steps. The research results in this article are three, (1) the reflective thinking profile of students in solving HOTS-type questions can meet the components of reflective thinking and go through the steps of problem-solving Polya: analysis, plan, implement, and evaluation; (2) the reflective thinking profile of students in solving HOTS-type questions cannot meet all the components of reflective thinking, namely the comparing component and through the steps of problem-solving Polya: analysis, plan, implementation, and evaluation. However, at the step of the problem-solving plan, there is one plan that is not by mathematical concepts; and (3) the reflective thinking profile of quitter students in solving HOTS-type problems cannot meet all the components of reflective thinking, namely the contemplating component and not going through all the steps of problem-solving, namely the step of implementing the plan and evaluation. The three types of adversity questions have different reflective thinking profiles according to the criteria of each type. 
Asymptotic Distribution of an Estimator for Variance Function of a Compound Periodic Poisson Process with Power Function Trend Utama, Muhammad Wiranadi; Mangku, I Wayan; Silalahi, Bib Paruhum
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.10213

Abstract

In this paper, an asymptotic distribution of the estimator for the variance function of a compound periodic Poisson process with power function trend is discussed. The periodic component of this intensity function is not assumed to have a certain parametric form, except it is a periodic function with known period. The slope of power function trend is assumed to be positive, but its value is unknown. The objectives of this research are to modify the existing variance function estimator and to determine its asymptotic distribution. This research begins by modifying the formulation of the variance function estimator. After the variance function is obtained, the research is continued by determining the asymptotic distribution of the variance function estimator of the compound periodic Poisson process with a power function trend. The first result is modification of existing estimator so that its asymptotic distribution can be determined. The main result is asymptotic normality of the estimator of variance function of a compound periodic Poisson process with power function trend.
Mathematical Communication and Students' Epistemological Beliefs of Linear Systems with Three Variables Mastuti, Ajeng Gelora; Kaliky, Syafruddin; Arman, Juanda
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.9772

Abstract

Epistemological beliefs simultaneously affect mathematical communication skills. The higher the epistemological beliefs of a person's ability to formulate concepts, convey ideas, and hone ideas to convince others, the more mathematical communication skills will increase. This qualitative study uses three variables to describe mathematical communication and students' epistemological beliefs on linear system material. The subjects in this study were students who had epistemological beliefs from the test results, and students who were taken were students who were able to meet the indicators of epistemological confidence. Data collection techniques are tests, interviews and documentation. The results of this study indicate that students have beliefs that do not change or remain in solving test questions. The method used is more consistent with the way of solving, which according to students, is easy to do, able to solve problems by multiplying exercises and repeating what has been learned, solving problems by following the steps and methods of completion taught by the teacher, students can estimate answers or problem solving because of problems The subject obtained is obtained from experience and observations in everyday life.
The Implementation of Problem-Based Learning on Multiplication and Division Lessons in Improving Elementary School Students’ Learning Motivation Fatayan, Arum; Safrul, Safrul; Ghani, Abd Rahman A; Ayu, Sartika
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.9084

Abstract

This study aims at increasing elementary school students’ learning motivation in multiplication and division lessons by implementing problem-based learning. This study was qualitative research. Furthermore, the research subjects were elementary school students. Results indicated that students experienced an increased motivation in multiplication and division lessons after implementing problem-based learning because they felt happy during the learning process. In addition, observations, interviews, and documentation studies showed that, with problem-based learning, many students better understood the concepts of multiplication & division and applied them in their daily life. Moreover, students thought critically in solving problems when the learning process was carried out in discussion or groups. This study proves that teachers are the key to success in a learning process and the increased student motivation. Therefore, teachers must be able to choose the right learning method for students to encourage their enthusiasm for learning. 

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