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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 GEMAS on Mathematical Problem-Solving and Critical-Thinking Abilities Lukman, Hamidah Suryani; Setiani, Ana
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 2 (2025): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i2.29659

Abstract

This research focuses on the development of gamification-based mathematics teaching materials specifically designed to improve the problem-solving and critical mathematical thinking skills of junior high school students in the form of GEMAS (Junior High School Mathematics Game) and to test the product based on its validity, practicality, and effectiveness aspects. The ADDIE MODEL is used in the research and development of GEMAS. Previous research articles have discussed the stages of product development, validity testing, and practicality, so the focus mof this article only discusses its effectiveness test. Thus, the stages of the ADDIE model used in this article are also limited to the last two stages, namely Implementation and Evaluation. The study was conducted at two junior high schools in Sukabumi using a one-sample pretest-posttest design. The sample was 256 students from 10 study groups using cluster random sampling techniques. Data were collected through the Krulik-Rudnick problem-solving ability test instrument, the FRISCO critical-thinking ability test, and student response sheets that met the criteria of being very valid and highly reliable. Data were analyzed using a paired two-sample t-test at a significance level of alpha 5% and descriptive analysis. The results of the study showed that GEMAS met the criteria for effectiveness. This can be seen from the overall range of values between the average pretest and posttest of problem-solving ability which reached 43.75 and critical thinking ability which reached 47.00, as well as the n-gain value of both mathematical problem-solving ability and mathematical critical thinking ability of junior high school students has met the moderate improvement category (46-51%). 
A Spatiotemporal Analysis of Humidity Pattern in Bali using Space-Time Kriging with Seasonal Drift Nugroho, Salma Fitri; Fitriani, Rahma; Iriany, Atiek
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 3 (2025): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i3.30874

Abstract

Climate plays a vital role in framing the characteristics of tourist activity. Humidity reflects the amount of moisture in the air relative to the maximum it can hold at a specific temperature, it has a direct influences on perceived comfort levels. Bali, one of the most popular destinations renowned for its breathtaking natural beauty and varied landscapes. However, this island is currently served by only four climate observation stations which are insufficient to capture the humidity across the island. Therefore, this research aims to model humidity levels in Bali based on four observed locations at 2019-2023 using the space-time kriging with seasonal drift and predict humidity at unobserved locations. This approach was choosen due to the strong seasonal pattern exhibited in climate data, which leading to non-stationary. The space-time kriging method is applied to the residuals. The most effective model identified was the exponential-exponential-Gaussian (Exp-Exp-Gau) model using a sum-metric structure. This model provided the lowest RMSE of 2.1442. Humidity contour maps suggest a gradual decline in humidity levels over time across Bali. This trend may have significant impacts for both environmental quality and the tourism sector. Lower humidity levels could lead to increased discomfort for tourists and potentially reduce the attractiveness of the destination. Theoretically, the development of the kriging model enhances the accuracy of predictions, as shows by the low RMSE. Practically, these findings emphasize the importance of integrating climate considerations into sustainable tourism planning and management strategies based on the humidity information.
Robust Optimization Model Analysis for Online Sentiment Issues on Shopee using Support Vector Machine Dongoran, Raisha Zuhaira; Cipta, Hendra
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 3 (2025): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i3.31555

Abstract

In the digital economy era, e-commerce platforms like Shopee receive thousands of user reviews daily, which significantly influence customer perceptions and purchasing decisions. However, sentiment analysis of such reviews remains challenging due to the presence of noise, uncertainty, and dynamic data changes. This quantitative research aims to develop a more reliable sentiment classification model by integrating a Lexicon-Based labeling approach and Support Vector Machine (SVM) classification with a Robust Optimization framework. The labeling process uses a sentiment lexicon dictionary that assigns polarity values to words, classifying texts into positive, negative, or neutral categories. The classification process utilizes SVM to evaluate sentiment prediction based on key performance metrics: Accuracy, Precision, Recall, and F1-score. These performance metrics are treated as uncertain parameters in the optimization phase. The main contribution of this study is the formulation of a robust optimization model for sentiment analysis weighting problems, transforming a multi-criteria objective into a single-objective utility function. By applying polyhedral uncertainty modeling, the robust counterpart formulation accounts for worst-case scenarios in model evaluation. Numerical experiments using Python in Google Colab show that while the deterministic model achieves a higher performance score (0.865), the robust model yields a slightly lower score (0.825) but offers better stability under uncertainty. These results imply that robust optimization can enhance the reliability of sentiment classification systems in real-world e-commerce applications, providing more trustworthy insights for businesses in managing consumer feedback.
Optimal Control Strategies for Syphilis and HIV/AIDS Coinfection Transmission with Cost-Effectiveness Analysis Cahyona, Dwizani Vinoma; Bakhtiar, Toni; Jaharuddin, Jaharuddin
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 2 (2025): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i2.28571

Abstract

Syphilis and HIV/AIDS are global health problems with significant impacts on society. The combination of these two infections can worsen the prognosis of patients and increase the economic strain on the health system. This study aims to develop an optimal control model in managing the spread of syphilis and HIV/AIDS coinfection by considering HIV/AIDS treatment, syphilis treatment, and preventive measures through condom use as dynamic control variables. Pontryagin's maximum principle is used to derive the optimality conditions. To theoretically investigate the impact of the control measures, this study analyzed five strategies related to the implementation of these controls using Scilab-2024.0.0 for simulate and evaluate of their effectiveness. The simulation results show that the combination of three control interventions is more effective in decreasing the prevalence of syphilis and HIV/AIDS coinfection compared to the application of one type of control alone. This combination strategy significantly reduces the infection rate by up to 86.04%, emphasizing the importance of a multifaceted intervention approach rather than a single control measure. Furthermore, a cost-effectiveness analysis was conducted by comparing the costs and effectiveness of various control strategies to determine the most efficient and economically feasible option. The results of the comparison indicate that although integrated intervention is the most effective strategy in minimizing infection rates, a strategy that focuses only on preventive measures through the use of condoms is a more efficient option when considering the balance between budget limitations and control effectiveness.
Teaching Strategy: Adaptive Mathematics Learning with Liveworksheets Platform Sariningsih, Ratna; Kusuma, Jaka Wijaya; Linda, Linda
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 3 (2025): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i3.30072

Abstract

Technology is a supporting asset for the implementation of the teaching and learning process in educational institutions, and its application can be studied through research. This study uses a qualitative descriptive method with the aim of identifying the application of adaptive learning in mathematics learning with the help of Artificial Intelligence (AI) in the digitalization of mathematics education course.  This study aims to identify the application of adaptive learning in mathematics instruction with the assistance of Artificial Intelligence (AI) in the course on the digitalization of mathematics education. The research was developed using the design thinking method (empathize, define, ideate, prototype, and test), resulting in a product consisting of teaching tools (media, assessments, and student worksheet) independently created by students of class B1 Mathematics Education at IKIP Siliwangi. The instruments used were validation sheets included in form applications and polls on the WhatsApp application. The validation and poll results were analyzed using real-time techniques with Apache Spark. The teaching tools in this study were validated by practitioners and tested on a group of students. Based on the practitioner’s validation and evaluations results, and student tests, the AI-assisted teaching tools for the digitalization of mathematics education course were deemed suitable for use and beneficial in the teaching and learning process.
Through the Teacher's Lens: Perspectives on Integrating Higher-Order Thinking Skills into Mathematics Instruction Gradini, Ega; Noviani, Julia; Samsudin, Syafiza Saila
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 2 (2025): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i2.30074

Abstract

The integration of Higher-Order Thinking Skills (HOTS) in mathematics instruction holds significant potential to deepen students’ conceptual understanding and fostering analytical thinking. However, its implementation is often hindered by gaps in teacher competency, curricular limitations, and outdated assessment methodologies. This study aims to explore mathematics teachers’ perspective on HOTS integration by examining four dimensions: understanding, perceived need, implementation challenges, and classroom practices. A descriptive survey design was employed, involving 186 junior and senior high school teachers selected through stratified random sampling. Data were collected via a structured questionnaire and analyzed using descriptive and inferential statistics, including Pearson correlation. Findings reveals a noticeable gap between teachers’ conceptual understanding of HOTS and its practical application in the classroom. While teachers acknowledge the importance of HOTS and frequently incorporate problem-solving and analytical activities, practical application is inconsistent due to time constraints, insufficient training, and limitation of resources. Differences were observed across teaching levels and school types: private and senior high school teachers, showing stronger understanding and more frequent HOTS integration. Weak correlation among understanding, perceived need, and practice indicate that awareness alone does not ensure effective implementation. These findings underscore the need for systematic support, targeted professional development, and policy reforms to bridge the gap between theory and practice. The study contributes to educational practice by highlighting actionable areas for institutional support and inform policy development aimed at enhancing the integration of HOTS in mathematics education.
Patterns of Student Thinking Interaction in Group Discussion: The Effect of Explorative Interaction on Understanding Statistical Concepts Syarifudin, Syarifudin; Haris, Abd.; Nurrahmah, Nurrahmah
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 2 (2025): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i2.30091

Abstract

This study aims to analyze patterns of students' thinking interaction during group discussions in statistics learning and examine their impact on conceptual understanding, particularly across different levels of academic ability. A qualitative approach was employed using discourse and interaction analysis. Data were collected through classroom observations, video/audio recordings, transcription of student discussions, students' written work, and in-depth interviews. These instruments enabled comprehensive documentation and triangulation of students' verbal and behavioral interactions. Twelve junior high school students were selected and categorized into high, medium, and low academic ability groups. Discourse structures were analyzed using the Sinclair & Coulthard model (to identify classroom discourse moves) and Mercer's framework (to detect exploratory and cumulative talk). Furthermore, interaction patterns were categorized using the ICAP model—which distinguishes passive, active, constructive, and interactive engagement—and Bales’ Interaction Process Analysis (IPA), which classifies social-emotional and task-related behaviors in small groups. The findings revealed that groups with explorative interaction patterns demonstrated deeper conceptual understanding, facilitated by active questioning, argument construction, and peer clarification. In contrast, static interaction groups were characterized by passive reception and rote learning, while counterproductive groups showed fragmented participation and communication breakdowns. These results confirm the vital role of interaction quality in supporting conceptual development. The novelty of this study lies in its integration of discourse- and interaction-based frameworks to reveal how different thinking dynamics shape learning outcomes in heterogeneous academic groups. Practically, the study highlights the importance of scaffolding, open-ended questioning, and structured facilitation to promote argumentation-rich discussions. These strategies are essential for fostering critical thinking and improving students’ understanding of statistics concepts. 
Mathematical Modeling of Student Learning Outcomes using E-learning-Based Remedial Programs Fadhiliani, Dwi; Umam, Khairul; Suhartati, Suhartati; Johar, Rahmah
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 3 (2025): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i3.31404

Abstract

Research on mathematical modeling of learning outcomes remains limited, despite its potential to evaluate educational processes and inform placement decisions in schools, classes, learning resources, and remedial programs. This quantitative study aims to construct a mathematical model in the form of an ordinary differential equation (ODE) to represent the dynamics of students’ learning in a remedial program. The model is developed using empirical data obtained from multiple-choice diagnostic tests designed to identify common learning difficulties and a series of three remedial assessments conducted after e-learning-based interventions. The dataset includes students’ assessment scores and time records during the remedial learning process. The Nelder–Mead method was used to estimate the model parameters, followed by a stability analysis and an RMSE-based evaluation of the model’s accuracy. The model captures changes in student understanding over time and reveals that students with lower initial scores tend to show greater improvements through remedial programs. However, as the duration of the remedial program increases, the rate of score improvement decreases—suggesting a decline in student focus and learning efficiency over time. These findings highlight the nonlinear nature of learning progress in remedial program. The model provides for predicting student outcomes and analyzing the effectiveness of remedial programs. It offers practical implications for optimizing the structure and timing of remedial programs and can support the development of adaptive learning systems tailored to student needs. This research demonstrates the potential of mathematical modeling for decision-making in education.  
Enhancing Students' Statistical Literacy Through Physical Education Long Jump Athletics Learning at Elementary School Arsyad, Rahmatullah Bin; Bakar, Abu; Mardiah, Ainun; Al-lahmadi, Nazmi; Basna, Erik Norbertus
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 3 (2025): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i3.30090

Abstract

This study aims to improve elementary school students' statistical literacy through Physical Education (PJOK) learning, particularly in the long jump athletic material. The study used a quasi-experimental method with a pre-test post-test control group design. This research was conducted at SD Muhammadiyah 2 Kota Sorong with a total sample of 56 sixth-grade students, divided into two groups: the experimental class applying PJOK learning based on long jump athletics and the control class using a conventional learning model. Data were collected through pre-test, post-test, questionnaires, and observations of student activities. The results showed a significant improvement in statistical literacy in the experimental group compared to the control group. The t-test revealed a significance value indicating a significant difference between the two groups in achieving statistical literacy. The average N-Gain increase in the experimental group categorized as high, while the control group in moderate category. Additionally, students' responses to the learning model were positive. Based on these findings, it can be concluded that PE learning based on long jump athletics is effective in improving elementary students' statistical literacy. This learning model not only enhances conceptual understanding but also develops data analysis skills in real-world contexts.
Integrated Differentiated Learning Social-Emotional Competence: An Innovative Solution to Numeracy Skills Gunawan, Gunawan; Pertiwi, Budi Wahyu; Ferdianto, Ferry; Akhsani, Lukmanul
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 2 (2025): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i2.28286

Abstract

A crucial aspect in various disciplines is numeracy skills. The purpose of the study was to determine the difference in the average social-emotional competence and numeracy skills of students before and after the implementation of differentiated learning that integrated social-emotional competence. The research was conducted at SMP Negeri Satu Atap 1 Cimanggu, Cilacap. The sample in this study was selected using the saturated slicing technique involving 22 grade VIII students. The type of research is an experimental study that uses a pre-experimental design with a one-group pre-test post-test method. The data collection techniques used include observation, tests, and questionnaires. There are 20 questions in the questionnaire. Data analysis was carried out quantitatively using paired sample t-tests and descriptive statistics. Before conducting the analysis, a prerequisite test was carried out using a normality test to test the distribution of data. The results of the study showed that the numeracy skills had a significance value of 0.200 (>0.05) and the social-emotional competence had a significance value of 0.11 (>0.05) which showed that the data was normally distributed. The results of the analysis showed that the value of the t-test of numeracy was 49.423 (t-test > ttable), with a significance value (2-tailed) < 0.05 (0.00 < 0.05). For KSE, the statistical value of the t-test was 27.54 with a very small p-value (5.75×10⁻¹⁸) indicating that there is a significant difference in the average value of numeracy skills and KSE before and after the implementation of integrated differentiation learning KSE. Integrated differentiation learning KSE can be applied to improve numeracy skills. The results of this study can be used as a solution to overcome the low mathematical numeracy skills of students.

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