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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 25 Documents
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Search results for , issue "Vol 6, No 4 (2022): October" : 25 Documents clear
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. 
The Effect of Cabri Express in Geometry Learning on Students' Mathematical Communication Ability Tamur, Maximus; Weinhandl, Robert; Sennen, Eliterius; Ndiung, Sabina; Nurjaman, Adi
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.v6i4.10865

Abstract

Cabri is characterized by an attractive advantage and provides wide-ranging benefits in the teaching of mathematics. Although today there have been many studies on the edges of Cabri, experiments on Cabri-Express have not been widely explored. For this reason, a quasi-experimental study with a randomized posttest only design involving 80 grade VII junior high school students in Ruteng, Indonesia, was conducted to analyze the effect of Cabri-Express in learning geometry on students' overall mathematical communication ability (MCA) and based on students' initial mathematical abilities. The results of the MCA test are the research data, which consists of 5 questions that are then analyzed by t-test and preceded by conducting an analysis prerequisite test. The Hedges equation describes how much influence the Cabri-Express model has on students' MCA. The results showed that the overall MCA of students who were taught using the help of an Cabri-Express was better than students who were taught using the conventional model. From the Hedges equation, an effect size of 1.23 is obtained, indicating that the use of Cabri-Expresses strongly affects students' MCA. These results interpret that students who are ranked 13th in the experimental class are equivalent to those who are ranked 5th in the control class. By clarifying the effect of Cabri-Express on students' MCA, this study recommends the need to use Cabri-Express in mathematics classes. The analysis results can also help researchers explore other material in a relatable context.
Hypothetical Learning Trajectory in Scientific Approach on Material Direct Proportion: Context of Rice Farmers' Activities Pandanwangi Cianjur Sugiarni, Rani; Herman, Tatang; Juandi, Dadang; Supriyadi, Edi
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

Abstract

Rice farmer activities can be used as a context for understanding mathematical concepts. There are many studies on Hypothetical Learning Trajectory (HLT) on direct proportion material with a cultural context background. However, there is no research that focuses on using the context of Pandanwangi rice farmers to facilitate students in understanding material in direct proportion.This study aims to design Hypothetical Learning Trajectory (HLT) in Scientific Approach on Material Direct Proportion in the Context of Rice Farmers' Activities in Pandanwangi Cianjur, who are familiar with student culture in Cianjur. This research is part of design research. The research design consisted of HLT, namely learning objectives, learning activities, and student learning hypotheses. The result of the research is the set of HLT in the context of Pandanwangi Rice Farmer Activities, which includes learning objectives, learning activities, and the assumptions of each activity. This HLT can be a promising solution to overcome students' difficulties in understanding the concept of direct proportion and values in a cultural context to improve students' character.
Bootstrap Resampling in Gompertz Growth Model with Levenberg–Marquardt Iteration Gultom, Fandi Rezian Pratama; Solimun, Solimun; Nurjannah, Nurjannah
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.v6i4.8617

Abstract

Soybean plants have limited growth with a planting period of 12 weeks, which causes the observed sample to be very small. A small sample of soybean plant growth observations can be bias causes in the conclusion of prediction results on soybean plant growth. The  purpose this study is to apply  the bootstrap resampling technique in Gompertz growth model which overcomes residual distribution with small samples, the research data was taken from soybean plant growth in four varieties with four spacing treatments, five replications and twelve weeks (long planting period).   Gompertz growth model uses nonlinear least squares method in estimating parameters with Levenberg–Marquardt iteration. The value of the Gompertz model after resampling bootstrap has no significant difference. The adjusted R2 value of 0.96 is close to 1. This means that the total diversity of plant heights can be explained by the Gompertz model of 96 percent. Judging from the graph of predictions of soybean plant growth before resampling and after resampling coincide with each other it can also be seen in the initial growth values before resampling 14, 05 and 14.18, the maximum growth values are 55.13 and 55.60. Bootsrap resampling technique can overcome residual normality in the Gompertz growth model, but does not change the information in the initial data.
Basic Concepts and Values of Mathematics in Bengkulu Traditional Musical Instruments as Media and Resources for Learning Mathematics Haji, Saleh; Yumiati, Yumiati; Zamzaili, Zamzaili
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.v6i4.10220

Abstract

This study aims to determine the basic concepts and values of mathematics contained in traditional Bengkulu musical instruments in elementary schools. The urgency of this research is to use regional culture in learning mathematics theoretically and practically as a medium and source of learning mathematics through learning outside the classroom to achieve the objectives of learning mathematics in elementary schools. This research method is a qualitative method with an ethnographic approach. Data sources are in the form of traditional Bengkulu musical instruments, namely dhol, tassa, long drums, and serunai. Other data sources are documents and interviews with experts and practitioners of Bengkulu traditional musical instruments. The data were analyzed qualitatively with the method of content analysis. The result of this study shows that the basic mathematical concepts in Bengkulu traditional musical instruments are points, lines, angles, triangles, quadrilaterals, kites, circles, tubes, half balls, cut balls, cut cones, universes, and patterns. At the same time, the mathematical values contained in traditional Bengkulu musical instruments are obeying the rules, consistency, creativity, and cooperation. Therefore, as an alternative to effective learning in elementary schools, Bengkulu traditional musical instruments can be used as a medium and source of learning mathematics outside the classroom.
Factors Influencing Madrasah E-Learning Satisfaction on Mathematics Teachers of Madrasah Tsanawiyah in Jakarta Merrydian, Siska; Yumiati, Yumiati; Noviyanti, Mery
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.v6i4.9883

Abstract

This study analyzes the effect of attitude, quality, and flexibility on satisfaction and the implications for the desire to continue using madrasah e-learning for mathematics teachers in seventh grade for algebra material. The research includes non-experimental quantitative research. The population of this research is a mathematics teacher at the seventh-grade Madrasah Tsanawiyah in DKI Jakarta Province who teaches algebra material using madrasah e-learning. Sampling by convenience sampling and obtaining a sample of 225 teachers. The method of data collection is using a questionnaire. A Likert scale 1-5 questionnaire to collect data, data analysis method using PLS-SEM. Interviews with nine teachers were conducted to explore the causes of teachers agreeing and disagreeing with using e-learning madrasah in algebra learning. The results showed that teacher attitudes, e-learning quality, and e-learning flexibility significantly and positively affected e-learning satisfaction. E-learning satisfaction significantly and positively affects the desire to continue using e-learning. The interviews showed that teachers agreed because e-learning madrasah could help and facilitate teachers and students, and teachers did not agree because they encountered some difficulties in learning algebra.

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