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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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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.
Laminar Viscous Fluid Flow with Micro-rotation Capabilities through Cylindrical Surface Norasia, Yolanda; Tafrikan, Mohamad; Ghani, Mohammad
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.v6i4.9158

Abstract

Viscous fluid can micro-rotate due to collisions between particles that affect viscous fluid's velocity and temperature.This study aims to determine the effect of viscosity parameters, micro-rotation materials, and heat sources on fluid velocity and temperature. The model of the laminar flow equation for viscous fluid in this study uses the laws of physics, namely, the law of conservation of mass, Newton II, and Thermodynamics I. The formed dimensional equations are converted into non-dimensional equations by using non-dimensional variables. Then, the non-dimensional equations are converted into similarity equations using stream function and similarity variables. The formed similarity equation was solved numerically by using the Gauss-Seidel method. The results of this study indicate that the velocity and temperature of the viscous fluid flow can be influenced by the parameters of viscosity, micro-rotation material, and heat source. The presence of collisions between particles causes heat to cause an increase in the variance of viscosity parameters, micro-rotation materials, and heat sources. Therefore, the viscous fluid's velocity decreases and its temperature increases. 
Sensitivity Analysis of SEIRS Model with Quarantine on the Spread of Covid-19 Hardianti, Wiwik Tri; Sumarno, Hadi; Sianturi, Paian
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.v6i4.9627

Abstract

Since the Covid-19 pandemic, various mathematical models have been developed to describe its spread using the compartment model. The purpose of this research was to construct a new model of Covid-19. This formulated model is an application of SEIRS epidemic model by Zhang & Teng (2007) and a modification of the Covid-19 model by Chatterjee et al. (2020) by adding variations of quarantine. The model is analyzed by determining the disease-free fixed point and basic reproduction number 〖(R〗_0) through the next generation matrix method. The next step is to analyze the sensitivity to find out the parameters that have the most influence on the spread of Covid-19. The disease will not spread in the population if the value of R_0<1, while the disease will spread if the value of R_0>1. The result of the sensitivity analysis stated the parameters that can be controlled and have the most significant effect, respectively, are the transmission rate from symptomatic infected individuals (β_2 ),transmission rates from asymptomatic infected individuals (β_1 ), quarantine rates for symptomatic infected individuals (θ_3), and quarantine rates for asymptomatic infected individuals (θ_2). Parameters β_2 and β_1 have a negative index, while θ_3 and θ_2 have a negative index. It means decreasing the transmission rate from infected individuals and increasing the quarantine rate for infected individuals can decrease the spread of Covid-19. Therefore there will not be an outbreak in the long term. 
Improving Student's Mathematics Problem Solving Ability in the Trial of the Kaulinan Barudak Application as a Mathematics Learning Media Irawan, Ari; Rahayu, Wanti; Nuzulah, Rahnita
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.v6i4.9418

Abstract

The problem-solving ability of students is still very low, so there is a need for media that can facilitate these abilities. Android-based learning media that is integrated with local wisdom of traditional games and mathematics in providing a new color for learning activities. This research aims to test whether the Kaulinan Barudak ethnomathematics android application that the researcher is making can improve students' problem-solving abilities. In addition, this research activity seeks to see how the user responds to the Kaulinan Barudak android application. The method used in this research is Research and Development (RnD) with the Borg and Gall model. There are 10 stages in this model, namely potential, data collection, product design, design validation, revision, product trial, revision, user experiment, revision, and mass production. Meanwhile, this research is already at the user trial stage. The experiment was conducted on 30 students of Junior High School/MTs Al Hidayah class VIII. Next, look to see if there are differences before and after treatment with applications using pre-test and post-test. The results of this research are (1) This research has provided an overview of the user's response to the Kaulinan Barudak ethnomathematics application which is not valid and feasible to be used as a medium for learning mathematics for seventh-grade students of junior high school; and (2) This research proves that with the use of the Kaulinan Barudak application, the student's understanding ability increases, this can be seen from the average pre-test and post-test and the results of the t-test that have been carried out.
Tourism Development Priorities in Lombok Eastern with Analytical Hierarchy Process Kurniawan, Rinaldi; Kencana, Eka N.; Gandhiadi, G. K.
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.v6i4.8734

Abstract

East Lombok is a regency that has tourism potential to be developed. In accelerating the pace of tourism development in East Lombok Regency, a decision support system is needed to make it easier to determine development priorities in the tourist sector. Analytical Hierarcy Process is a decision-making method that can solve the problem of multicriteria in the aspect of tourism in East Lombok. The data used are 50 data by prioritizing the opinions of experts and policy makers, namely the East Lombok Tourism Office, Head of tourism awareness groups and people involved in the tourism sector. The results showed that the value of index consistency was below 10% for each indicator and subindicator with infrastructure indicators as the highest priority with a value of 29.4545% and the highest subindicator was accessibility with a value of 17.8381%. The result of the calculation are expected to help policy makers in determining the strategy in the development of the tourism sector in Eaast Lombok district and in the future it can be developed by considering other factors.
Mathematical Literacy of Junior High School Students in Solving Problems PISA in Minang Context Fathur Rahmi; Iltavia Iltavia; Ramzil Huda Zarista
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.v6i4.10221

Abstract

Often the use of repeated questions and answers is given by the teacher so that they cannot analyze students' mathematical literacy abilities. There needs to be a solution to the PISA problem so that student competencies can be seen clearly. The teacher should analyze this so that it does not happen continuously so that a way can be found to overcome it. The purpose of this study was to determine the mathematical literacy of junior high school students when working on PISA questions in the Minang context. This type of research is descriptive qualitative research. The results of the PISA test and interviews became the data in this study. To find out more detailed data, the authors took the research subjects based on the results of the PISA test later and categorized the subjects into the highest, medium and lowest. In this study, researchers used indicators of mathematical literacy level according to PISA. The results of this study indicate that in formulating the situation mathematically is 75%, reasoning 33.05% and solving problems 14.44%. That is, on average, students are only able to answer problems only up to level 2 PISA, that the ability to formulate situations mathematically.

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