JTAM (Jurnal Teori dan Aplikasi Matematika)
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.
Articles
24 Documents
Search results for
, issue
"Vol 5, No 1 (2021): April"
:
24 Documents
clear
<![CDATA[Investment Risk Analysis On Bitcoin With Applied of VaR-APARCH Model ]]>
<![CDATA[Kasse, Irwan]]>;
<![CDATA[Mariani, Andi]]>;
<![CDATA[Utari, Serly]]>;
<![CDATA[D., Didiharyono]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3220
<![CDATA[Investment can be defined as an activity to postpone consumption at the present time with the aim to obtain maximum profits in the future. However, the greater the benefits, the greater the risk. For that we need a way to predict how much the risk will be borne. Modelling data that experiences heteroscedasticity and asymmetricity can use the Asymmetric Power Autoregressive Conditional Heteroscedasticity (APARCH) model. This research discusses the time series data risk analysis using the Value at Risk-Asymmetric Power Autoregressive Conditional Heteroscedasticity (VaR-APARCH) model using the daily closing price data of Bitcoin USD period January 1 2019 to 31 December 2019. The best APARCH model was chosen based on the value of Akaike's Information Criterion (AIC). From the analysis results obtained the best model, namely ARIMA (6,1,1) and APARCH (1,1) with the risk of loss in the initial investment of IDR 100,000,000 in the next day IDR 26,617,000. The results of this study can be used as additional information and apply knowledge about the risk of investing in Bitcoin with the VaR-APARCH model.]]>
<![CDATA[Senior High School Students’ Mathematical Problem Solving Of Three-Variable Linear Equation System ]]>
<![CDATA[Asok, Abdul Nu'man]]>;
<![CDATA[Hasanah, A]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3929
<![CDATA[The aim of this research is to find the difficulties of students in solving word problems in the three-variable linear equation systems subject. Before they took a mathematical problem-solving exam, the learners were given reinforcement of prerequisite knowledge of the intended subject. The problem-solving test indicators used in this study were taken from Polya's problem-solving steps consisting of (1) recognizing the question, (2) making a plan for problem-solving (developing a plan), (3) implementing the plan for problem-solving, and (4) looking back. The research method used in this study was a qualitative descriptive. The subject in this study was 15 students who were 10 th graders of senior high school. The data were obtained from a student performance who took mathematical problems solving test. The result obtained from this study can be seen from the number of students whose achievement indicators formulate a plan of 49.6%, achievement in completing plans 14.1%, and achievement in checking solutions 2.2%. However, the indicators of understanding the problem area in the good category, namely 80%. The result of this study showed that the students were only able to solve the word problems for understanding the problem (good category) and devising the plan steps (mediocre category), whereas they got difficulties in solving the word problems in carrying out the plan and looking back (low category).]]>
<![CDATA[A Within-host Tuberculosis Model Using Optimal Control ]]>
<![CDATA[Adi, Yudi Ari]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3813
<![CDATA[ In this paper, we studied a mathematical model of tuberculosis with vaccination for the treatment of tuberculosis. We considered an in-host tuberculosis model that described the interaction between Macrophages and Mycobacterium tuberculosis and investigated the effect of vaccination treatments on uninfected macrophages. Optimal control is applied to show the optimal vaccination and effective strategies to control the disease. The optimal control formula is obtained using the Hamiltonian function and Pontryagin's maximum principle. Finally, we perform numerical simulations to support the analytical results. The results suggest that control or vaccination is required if the maximal transmission of infection rate at which macrophages became infected is large. In this paper, we studied a mathematical model of tuberculosis with vaccination for the treatment of tuberculosis.We considered an in-host tuberculosis model that described the interaction between macrophages Macrophages and Mycobacterium tuberculosis and investigated the effect of vaccination treatments on uninfected macrophages. Optimal controlis applied to show the optimal vaccination and effective strategies to control the disease. The optimal control formula isobtained using the Hamiltonian function and Pontryagin's maximum principle. Finally, we perform numerical simulations to support the analytical results.The results suggest thatcontrol or vaccination is required if the maximal transmission of infection rate at which macrophages became infected is large.]]>
<![CDATA[Collaborative Skills of Pre-service Mathematics Teachers in Blended Learning ]]>
<![CDATA[Lu'luilmaknun, Ulfa]]>;
<![CDATA[Al Kautsar, Karin Selma]]>;
<![CDATA[Apsari, Ratih Ayu]]>;
<![CDATA[Triutami, Tabita Wahyu]]>;
<![CDATA[Wulandari, Nourma Pramestie]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3309
<![CDATA[Blended learning is a learning that combines face-to-face and online learning. Several studies have shown that blended learning has a positive effect on collaborative skills. The aim of this study is to determine the collaborative skills of pre-service mathematics teachers after using blended learning. The focus of this study is 4 indicators of collaborative work skills, namely quality of work, problem solving skills, working with others, and focus on the task. This type of study is a case study. The participants were 23 pre-service mathematics teachers in second year. Data collection was carried out using a collaborative questionnaire. Data were analysed using quantitative descriptive methods. The results showed that the criterion for quality work of students was 47.83% average. The criterion for problem solving skills was 47.83% very high. The criterion of working with others was 86.96% very high. The criterion for focus on the task was 82.61% very high. Therefore, blended learning possesses positive effects towards pre-service mathematics teachers. ]]>
<![CDATA[Adaptive Reasoning Based on Microsoft Mathematics ]]>
<![CDATA[Susilawati, Wati]]>;
<![CDATA[Rachmawati, Tika Karlina]]>;
<![CDATA[Nuraida, Ida]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3918
<![CDATA[The demands of professional teachers to design technology-assisted learning that can facilitate all students to develop their potential. the fact that the quality of students' adaptive reasoning in solving math problems is still low which has an impact on other mathematical competencies. The purpose of this study was to determine the differences in the improvement of adaptive reasoning abilities between students who have implemented Search Solving Create and Share learning assisted with Microsoft Mathematics and conventional learning. The method used is quasi-experimental with the non-equivalent pre-test and post-test control group design. Through the Simple Random Sampling technique, two classes were selected, namely class X1 and X2 one of the SMA in Bandung Indonesia. Test instrument: story questions about adaptive reasoning abilities. Analysis using independent T-test data. Result: There is a difference in the improvement in adaptive reasoning abilities between students who using search-solve-create- share learning assisted by Microsoft mathematics compared to conventional learning. Students' difficulties in solving story problems with adaptive reasoning abilities can be minimized by getting used to solving non-routine story problems. Learning search-solve-create-share assisted by Microsoft mathematics accustoms students to convey assumptions, provide reasons for answers, draw conclusions from statements, and students can find patterns of various mathematical problems through multi-interactive media.]]>
<![CDATA[A Fuzzy Logic in Election Sentiment Analysis: Comparison Between Fuzzy Naïve Bayes and Fuzzy Sentiment using CNN ]]>
<![CDATA[Sugiyarto Sugiyarto]]>;
<![CDATA[Joko Eliyanto]]>;
<![CDATA[Nursyiva Irsalinda]]>;
<![CDATA[Zhurwahayati Putri]]>;
<![CDATA[Meita Fitrianawat]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3766
<![CDATA[Sentiment analysis is an analysis with an objective to identify like, dislike, comments, opinion, or feedback on certain content which will be categorized into positive, negative, or neutral. In general selection, sentiment analysis widely known to be used to predict the winner on election process. This method tries to dig the people sentiment on their governor candidates during election, whether it’s positive, negative, or neutral opinion. The output of the positive sentiment is related to people acceptance towards one of the election nominee. That statement usually applied as a base reference for determining the result of the election process. In sentiment analysis, the importance of its fuzzy logics must be considered. Each of the people statement is assumed to have the level of positive, negative, or neutral percentage. The concept of fuzzy logic is developed and applied on one of this text mining method. This research is focusing on comparison analysis and fuzzy logic application in sentiment analysis method. Two method which discussed in this research are Fuzzy Naïve Bayes and Sentiment Fuzzy with convolutional neural network. This research is applied on PILKADA of Solo and Medan district case study. The data of the people opinion are acquired from twitter and collected on September 2020 to December 2020. The two methods which mentioned before are implemented on the acquired data and the output of these method application then compared. The conclusion of this research suggest that different approach will resulting in different output.]]>
<![CDATA[Dynamical Analysis of a Fractional Order HIV/AIDS Model ]]>
<![CDATA[Septiangga Van Nyek Perdana Putra]]>;
<![CDATA[Agus Suryanto]]>;
<![CDATA[Nur Shofianah]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3224
<![CDATA[This article discusses a dynamical analysis of the fractional-order model of HIV/AIDS. Biologically, the rate of subpopulation growth also depends on all previous conditions/memory effects. The dependency of the growth of subpopulations on the past conditions is considered by applying fractional derivatives. The model is assumed to consist of susceptible, HIV infected, HIV infected with treatment, resistance, and AIDS. The fractional-order model of HIV/AIDS with Caputo fractional-order derivative operators is constructed and then, the dynamical analysis is performed to determine the equilibrium points, local stability and global stability of the equilibrium points. The dynamical analysis results show that the model has two equilibrium points, namely the disease-free equilibrium point and endemic equilibrium point. The disease-free equilibrium point always exists and is globally asymptotically stable when the basic reproduction number is less than one. The endemic equilibrium point exists if the basic reproduction number is more than one and is globally asymptotically stable unconditionally. To illustrate the dynamical analysis, we perform some numerical simulation using the Predictor-Corrector method. Numerical simulation results support the analytical results.]]>
<![CDATA[Inproved Math Connection Skills Through Online Learning Using MATH-UNWIR ]]>
<![CDATA[Diki Mulyana]]>;
<![CDATA[Mochammad Taufan]]>;
<![CDATA[Luthfiyati Nurafifah]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3828
<![CDATA[Advances in technology and learning carried out online due to the Covid-19 pandemic are the background for this research. Research objectives to determine the effectiveness of online learning using MATH-UNWIR in improving mathematical connection ability and online learning amid the pandemic Covid-19. This study uses quantitative research with a quasi-type experimental design, as well as a research design using pretest and posttest experimental classes. There are 15 students as research sample. The instruments used was connection skill test and questionare. The data obtained anylized with quantitative method. The average yield pretest was 56,33 and the posttest mean was 81,67. The results of the pretest posttest paired sample t-test showed that there was an average difference significant between pretest and posttest results, so that it brought to an effect of online learning using MATH-UNWIR on students' mathematical connections. The result of the N-Gain score was 0.57. That means it is in the medium category and shows a percentage of 57%. In this study it can be concluded that there is significant influence online learning’ using MATH-UNWIR to improve students' mathematical connections with the interpretation of the effectiveness of increasing mathematical connections quite effectively.Advances in technology and learning carried out online due to the Covid-19 pandemic are the background for this research. Research objectives to determine the effectiveness of online learning using MATH-UNWIR in improving mathematical connection ability and online learning amid the pandemic Covid-19. This study uses quantitative research with a quasi-type experimental design[L1] , as well as a research design using pretest and posttest experimental classes. There are 15 students as research sample. The instruments used was connection skill test and questionare. The data obtained anylized with quantitative method.The average yield pretest was 56,33 and the posttest mean was 81,67. The results of the pretestposttest paired sample t-test showed that there was an average difference significant between pretest and posttest results, so that it brought to an effect of online learning using MATH-UNWIR on students' mathematical connections. The result of the N-Gain score was 0.57. That means it is in the medium category and shows a percentage of 57%. In this study it can be concluded that there is significant influence online learning’ using MATH-UNWIR to improve students' mathematical connections with the interpretation of the effectiveness of increasing mathematical connections quite effectively. [L1]1. How many research subjects were involved (research sample)2. What research instruments do you use?3. How do you analyze the data you use?]]>
<![CDATA[Teaching Macro Excel on Pre-service Mathematics Teachers: Analysis Error in Solving the Syntax Manually ]]>
<![CDATA[Wulandari, Nourma Pramestie]]>;
<![CDATA[Wahiduddin, Faishal]]>;
<![CDATA[Lu'luilmaknun, Ulfa]]>;
<![CDATA[Maulyda, Mohammad Archi]]>;
<![CDATA[Apsari, Ratih Ayu]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3313
<![CDATA[The aim of this study is to describe errors output when pre-service mathematics teachers were writing output of the syntax that given in macro excel manually. This research is a qualitative descriptive research with 101 participants from 2nd year pre-service mathematics teachers from one of state university at Nusa Tenggara Barat, Indonesia. Instrument used consists of one syntax that has 8 outputs when it is run and that will be analysed using Newman’s procedures. The eight outputs come from 3 types of output, namely text, numbers, and count. The result showed that the average percentage of syntax output writing errors was 87.13%. It also indicated to reading errors of 48.51%, comprehension errors of 18.81%, transformation errors of 83.17%, process skill errors of 20.79%, and encoding errors of 87.13%. Based on the result, errors occur when participants incorrectly write output and wrong in writing the result of the count. In addition, factors that caused these errors are 1) participants were not trained in providing information that was in the problem, 2) participants did not read the instructions in the problem correctly, and 3) participants did not pay attention to the suitability of syntax and output as was learned before. This research can be a reference for lecturers to develop learning about programming languages that can make students understand the use of syntax with the emphasis on manual syntax learning which will make their logic easier when applyng the syntax on a computer.]]>
<![CDATA[The Implementation of Supportive Classroom Environment in VII-Grade Mathematics Learning ]]>
<![CDATA[Ghany, Willy Abdul]]>;
<![CDATA[Wahyudin, Wahyudin]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.31764/jtam.v5i1.3919
<![CDATA[Mathematics is seen by some students as a subject which is not easy to learn. Thus, they need someone who can make mathematics easy, in this point, a teacher. Teachers as instructor are needed to be more innovative in developing instruction that can encourage students to get an ideal learning experience. Not just regarding approaches, teaching materials, and strategies, yet additionally needs to focus on the learning environment which promotes the learning process. One of the framework that offers learning which takes into a supportive learning environment is the Productive Pedagogies Framework. The purpose of this study is to look at the implementation of learning that utilized the Supportive Classroom Environment dimension of the Productive Pedagogies Framework. This study used qualitative method. There were 33 grade VII students (boys and girls) on average age of 13 years old from one of the Junior High Schools in Bandung participated in this study. The research findings revealed that (1) implementing Supportive Classroom Environment can further encourage students in upper group to achieve more optimal learning outcomes; (2) This learning can be said to encourage middle group students to get optimal learning outcomes; (3) This learning has not been able to encourage students in lower group. We concluded that implementing Supportive Classroom Environment can further encourage students in upper and middle groups.]]>
