JTAM (Jurnal Teori dan Aplikasi Matematika)

Journal Information
ISSN / EISSN : 2597-7512 / 2614-1175
Published by: Universitas Muhammadiyah Mataram (10.31764)
Total articles ≅ 103
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Diki Mulyana, Mochammad Taufan, Luthfiyati Nurafifah
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 171-181; doi:10.31764/jtam.v5i1.3828

Abstract:
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?
Septi Puspita Sari, , Darmawijoyo Darmawijoyo
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 182-192; doi:10.31764/jtam.v5i1.3881

Abstract:
The Minimum Competency Assessment (MCA) is a basic competency assessment that will be carried out by the ministry of education and culture in Indonesia in 2021, one of the assessments is numeracy. Algebraic material is one of the important materials for students to learn related to everyday problems. The use of context is important in learning algebra. In this regard, the discussion which is now a topic of discussion for all groups not only from Indonesia but the world, namely Covid-19, can be an interesting context to raise. This study, describes the numeracy skills of students in working on algebraic questions, research subjects are students with heterogeneous abilities (medium, high, low) using a descriptive qualitative approach, with collection techniques in the form of tests, and interviews. The research subjects were grade VII students. Wherefrom the research, it was found that there were still unfulfilled numerical indicators, namely indicators of interpreting it to conclude. While indicators that often appear are using numbers and mathematical symbols in solving problems in life.
Nurmaini Puspitasari, Wuryansari Muharini Kusumawinahyu, Trisilowati Trisilowati
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 193-204; doi:10.31764/jtam.v5i1.3893

Abstract:
This article discussed about a dynamic analysis of the symbiotic model of commensalism and parasitism with harvesting in the commensal population. This model is obtained from a modification of the symbiosis commensalism model. This modification is by adding a new population, namely the parasite population. Furthermore, it will be investigated that the three populations can coexist. The analysis carried out includes the determination of all equilibrium points along with their existence and local stability along with their stability requirements. From this model, it is obtained eight equilibrium points, namely three population extinction points, two population extinction points, one population extinction point and three extinction points can coexist. Of the eight points, only two points are asymptotically stable if they meet certain conditions. Next, a numerical simulation will be performed to illustrate the model’s behavior. In this article, a numerical simulation was carried out using the RK-4 method. The simulation results obtained support the results of the dynamic analysis that has been done previously.This article discussed about a dynamic analysis of the symbiotic model of The dynamics of the symbiotic model of commensalism and parasitism with harvesting in the commensal population. is the main focus of this study. This model is obtained from a modification of the symbiosis commensalism model. This modification is by adding a new population, namely the parasite population. Furthermore, it will be investigated that the three populations can coexist. The analysis carried out includes the determination begins by identifying the conditions for the existence of all equilibrium points along with their existence and local stability along with their stability requirements. From this model, it is obtained eight equilibrium points, namely three population extinction points, two population extinction points, one population extinction point and three extinction points can coexist. Of the eight points, only two points are asymptotically stable if they meet certain conditions. Next, a numerical simulation will be performed to illustrate the model’s behavior. In this article, a numerical simulation was carried out using the RK-4 method. The simulation results obtained support the results of the dynamic analysis that has been done previously.[VM1] [VM1]To add a mathematical effect to the article. There can be added mathematical models produced in the study at the end of this section.
Kusno Kusno, Eka Setyaningsih
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 205-215; doi:10.31764/jtam.v5i1.3911

Abstract:
This research is motivated by demands for mastery of 21st-century skills as a form of educational reform in the 4.0 era. This study aims to explore the understanding and skills of the prospective mathematic teacher in the development of the student e-worksheet as a form of teacher skills in the 21st-century. A total of 27 math teacher candidates in Banyumas Regency, Central Java, Indonesia, who took part in training teaching material development, was formed into 9 Groups (G) and was given the task to develop student e- worksheet of mathematics of junior high school. Data were collected through observation, interviews, self-reflection, open questionnaires, and portfolios and analyzed using content analysis procedures by reading carefully to understand relevant themes. The coding and labeling are then carried out to find the meanings associated with the research objectives and theoretical framework. This study's results indicate that self-regulated learning of prospective mathematics education teachers in the development of student e-worksheet can encourage motivation to learn, self-confidence, experience, and determination to become professional teachers in the 21st century. From this study, an understanding and skill of the century 21can be explored from self-regulated learning during the development of student e- worksheet, namely collaboration and communication skills, problem-solving, creativity and imagination, innovation, and novelty, literacy, and leadership.
Septiangga Van Nyek Perdana Putra, Agus Suryanto, Nur Shofianah
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 14-27; doi:10.31764/jtam.v5i1.3224

Abstract:
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.
Nourma Pramestie Wulandari, Faishal Wahiduddin, Ulfa Lu'Luilmaknun, Mohammad Archi Maulyda, Ratih Ayu Apsari
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 70-79; doi:10.31764/jtam.v5i1.3313

Abstract:
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.
Suherman Suherman, Adib Mustofa Zaman, Farida Farida
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 134-143; doi:10.31764/jtam.v5i1.3798

Abstract:
Mathematical critical thinking skills in mathematics learning is an ability that needs to be mastered by every student in order to support students in the learning process. The purpose of this study was to analyzing the influence and interaction of the ARCS model and learning motivation on students' mathematical critical thinking skills. This research is a quasi-experimental design using cluster random sampling as a sampling technique. The data collection technique used an essay test to determine MCT and a questionnaire to see motivation. The data analysis technique used the normality test, homogeneity, and two-way ANOVA. The results have shown that there is an effect of the ARCS learning model on students' mathematical critical thinking ability, there is no influence of learning motivation on mathematical critical thinking skills, and there is no interaction between ARCS model learning and motivation towards mathematical critical thinking ability. Therefore, the ARCS model can be solution to fostering of mathematical critical thinking abilities.
Irwan Kasse, Andi Mariani, Serly Utari, Didiharyono D.
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 1-13; doi:10.31764/jtam.v5i1.3220

Abstract:
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.
Willy Abdul Ghany, Wahyudin Wahyudin
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 225-235; doi:10.31764/jtam.v5i1.3919

Abstract:
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.
Abdul Nu'Man Asok, A Hasanah
JTAM (Jurnal Teori dan Aplikasi Matematika), Volume 5, pp 254-261; doi:10.31764/jtam.v5i1.3929

Abstract:
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).
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