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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 Mean Value Theorem for Integrals Method for Estimating Two-Dimensional Renewal Functions Sasongko, Leopoldus Ricky; Susanto, Bambang
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 1 (2020): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1430.842 KB) | DOI: 10.31764/jtam.v4i1.1831

Abstract

An important aspect in the provision of a two-dimensional warranty is the expected number of failures of a component during the two-dimensional warranty period. The purpose of this paper is to present a new method to obtain the expected number of failures of a nonrepairable compo­nent from the two-dimensional renewal functions as the so­lution of two-dimensional renewal integral equations through the Mean Value Theorem for Integrals (MeVTI) method. The two-dimensional renewal integral equation involves Lu-Bhattacharyya’s bivariate Weibull model as a two-dimensional failure model. It turns out that the estimation of the expected number of failures using the MeVTI method is close to that of the other method, Riemann-Stieljies method. The bivariate data behaviour of the failures of an automobile component is also studied in this paper.
Problem Based Learning, Discovery Learning, and Open Ended Models: An experiment On Mathematical Problem Solving Ability Tanjung, Dian Fitria; Syahputra, Edi; Irvan, Irvan
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 1 (2020): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i1.1736

Abstract

This research is to look at the effect of problem-based learning, discovery learning, and open-ended models on the mathematical problem-solving abilities of students. The type of research is a quasi-experiment with a three treatment counterbalanced design research design. The instruments used: (1) students 'initial mathematical ability tests, (2) tests of students' mathematical problem-solving abilities with the Pythagorean Theorem material. Inferential data were performed using covariance analysis (ANACOVA). The samples of this study were 32 students each from three experimental classes selected by purposive sampling. The results are: (1) of the three learning models conducted using the model of problem-based learning, discovery learning, and open-ended had a positive effect on the ability to solve mathematical problems; (2) the ability to solve mathematical problems of students taught by problem-based learning models is better than the using discovery learning and open-ended models; and (3) there is an interaction between the initial ability of mathematics and learning models.
Learning Design Based on Local Wisdom Maddawa-dawa, Mammanu-manu and Mappettuada F. A, A. Nurannisa; Asfar, Andi Muhammad Irfan Taufan; Asfar, Andi Muhamad Iqbal Akbar
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.2849

Abstract

Local traditions of Maddawa-dawa, Mammanu-manu, Mapppettuada as a form of local wisdom that elaborated entry into learning, especially mathematics. In its application the local traditions of Maddawa-dawa, Mammanu-manu, Mapppettuada integrated with an android application, namely the application of group maker is used on the phase Maddawa-dawa, application lucky wheel and mind mapping is used on the phase Mammanu-manu and application pro & cons used on the phase Mappettuada. This research emphasizes the design process with a focus on the literature review in finding the proper integration between local traditions of Maddawa-dawa, Mammanu-manu, Mapppettuada with android apps that are focused student-centered in learning. The results of this design are expected to provide an alternative solution in improving the ability of extrapolation of the students especially in the learning of mathematics through the approach of local traditions in the learning process.
Students Critical Thinking Reviewed from Field-Dependent and Field-Independent on Number Pattern Material Arigawati, Nur Hijjah; Kusnandi, Kusnandi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3923

Abstract

One of the competencies or learning goals in the 2013 curriculum is to promote curiosity, creativity, and the ability to arranging problem to build critical thinking which are necessary for intelligent life. However, in reality, students's critical thinking skills in mathematics are still not satisfactory. Mathematic’ material and critical thinking skills are two things that cannot be separated because mathematics material can be understood through critical thinking which is trained through learning mathematics. Learning number patterns aims to equip students to think critically, analyze, creatively, logically, and systematically. Students' critical thinking skills have related to the existence of cognitive aspects like how to complete a task, make procedures design, and be able to give the right solution in solving problems. This study aims to understand how students of junior high school solve math problems with number pattern material reviewed from students's critical thinking with Field-Dependent (FD) and Field-Independent (FI) cognitive style. The method used in this research is qualitative descriptive method with case study design. From the results of study conducted on 14 students, there were 64% students in the Independent field category and 36% students in the Dependent field category. Of the 2 students, among them taken in the Independent field category, they have high-level critical thinking skills and medium-level critical thinking skills. There are 2 students among those taken in the Dependent field category have critical thinking skills on medium level and low level.
Profile of Cybernetic Thinking of Students in Mathematical Problem Solving Based on Serialist and Holist Thinking Style Yanti, Aning Wida; Kusaeri, Kusaeri; Kustianingsih, Mia
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.2403

Abstract

This research aim to describe the profile of cybernetic thinking of students in solving algebra problems. This research is a descriptive study with a qualitative approach using questionnaires, written tests, and interview guidelines. Intake of subjects who have Serialist and Holist thinking styles have done using purposive sampling. The results showed students who have the Serialist thinking style at the time of the Sensory Register's attention and good perception so that information stored in Short Term Memory. Retrieval done well even when rehearsal has difficulty because of forgetting certain concepts, but information has been stored well in Long Term Memory. The encoding done well. While students who have Holist style of thinking lack attention and perceptions are not structured so that information is not stored correctly in Short Term Memory. So that retrieval can not be done correctly. Therefore during rehearsal, they have difficulty in applying the settlement method because the information is not stored correctly in Long Term Memory.
Fostering of Mathematical Critical Thinking Ability Using ARCS Model and Students’ Motivation Suherman, Suherman; Zaman, Adib Mustofa; Farida, Farida
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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. 
High Visual-Spatial Intelligence Students’ Creativity in Solving PISA Problems Triutami, Tabita Wahyu; Hariyanti, Uun; Novitasari, Dwi; Tyaningsih, Ratna Yulis; Junaidi, Junaidi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3280

Abstract

Creativity is very necessary for learning mathematics, especially when solving geometry problems. This research aims to describe 4th year mathematics education students’ creativity in solving geometry problems. Creativity in this research is focused on fluency, flexibility, and originality of student anwer when solving geometry problems. This research is an explorative descriptive research through a qualitative approach. The participants were 7 fourth year mathematics education students of state University in Mataram, who have a high level of visual-spatial intelligence. The data was collected by written test and interview. The test consisted of two open-ended geometry problems about transforming 3-dimensional images into 2-dimensional images and making 2-dimensional images with a predetermined circumference. The problems are modification of the 2006 PISA test. The result showed that subjects with high visual-spatial intelligence levels met all indicators of creativity. In solving problems that meet the aspects of fluency, flexibility and originality, they combine mental rotation and mental visualization abilities and include using their visual experience by modifying the information obtained and the initial problem solving ideas obtained. This also enables them to produce original problem solutions. The results of this research can be used as an illustration and a guideline to assess students’ creativity with high visual-spatial intelligence level.
Blended Learning Model During the Covid-19 Pandemic: Analysis of Student’s' Mathematical Disposition Fadillah, Ahmad; Nopitasari, Dian; Pradja, Barra P
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.2582

Abstract

The purpose of this study is to describe the mathematical disposition of students who use blended learning during the Covid-19 pandemic. This research is a descriptive qualitative research. The research subjects were four students from the sixth semester of mathematics education study program. The research instrument was a student mathematical disposition questionnaire. The results of the study concluded that the average level of mathematical disposition of students was classified as moderate. If seen from the indicators, only the monitor and evaluate indicators are classified as high category. Indicators of persistence and perseverance, especially when lecturers present interesting contextual problems. Many indicators of curiosity arise when lecturers invite students to be active in learning, for example students are invited to study in groups. Many self-confidence indicators appear when lecturers ask students questions. While many flexible indicators appear when lecturers give open ended questions.
Dynamic Analysis of the Symbiotic Model of Commensalism and Parasitism with Harvesting in Commensal Populations Puspitasari, Nurmaini; Kusumawinahyu, Wuryansari Muharini; Trisilowati, Trisilowati
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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.
Simple Forward Finite Difference for Computing Reproduction Number of COVID-19 in Indonesia During the New Normal Trihandaru, Suryasatriya; Parhusip, Hanna Arini; Susanto, Bambang; Sardjono, Yohanes
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3468

Abstract

The research purpose shown in this article is describing the time dependent reproduction number of coronavirus called by COVID-19 in the new normal period  for 3 types areas, i.e. small, medium and global areas by considering the number of people in these areas.  It is known that in early June 2020, Indonesia has claimed to open activities during the pandemic with the new normal system. Though the number of COVID-19 cases is still increasing in almost infected areas, normal activities are coming back with healty care protocols where public areas are opened as usual with certain restrictions. In order to have observations of spreading impact of COVID-19, the basic reproduction number (Ro)  i.e. the reproduction number (Ro) is the ratio between 2 parameters of SIR model where SIR stands for Susceptible individuals, Infected individuals, and Recovered individuals respectively. The reproduction numbers  are computed as discrete values depending on time. The used research method is  finite difference scheme for computing rate of change parameters in SIR models based on the COVID-19 cases in Indonesia (global area), Jakarta (medium area) and Salatiga (small area) by considering the number of people in these areas respectively. The simple forward finite difference is employed to the SIR model to have time dependent of parameters. The second approach is using the governing linear system to obtain the values of parameter daily. These parameters are computed for each day such that the values of Ro are obtained as function of time. The research result shows that 3 types areas give the same profiles of parameters that the rate of changes of reproduction numbers are decreasing with respect to time. This concludes that the reproduction numbers are most likely decreasing.

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