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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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Exploring Relational Understanding in Statistical Problem Solving Based on Secondary School Students’ Learning Styles Santosa, Yoga Tegar; Nisita, Indriastri; Masduki, Masduki
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.32412

Abstract

Relational understanding is one of the crucial aspects of solving mathematical problems, especially on statistical topics. It enables students to apply procedures correctly and understand the underlying concepts, justify their reasoning, and connect mathematical ideas meaningfully. However, most students still lack relational understanding, reflected in their limited ability to interpret, apply, and connect mathematical concepts meaningfully in problem-solving contexts. Although previous studies have examined relational understanding from various psychological perspectives such as adversity quotient, cognitive styles, and self-esteem no studies have specifically and in-depth explored students' relational understanding based on their learning styles. Therefore, this study aims to explore students' relational understanding skills in solving statistical problems based on their learning styles (visual, auditory, reading, and kinesthetic). This study uses a qualitative approach with a case study design. The participants were 31 seventh-grade students from one of the public secondary schools in Karanganyar Regency, Central Java. Data were collected through learning style questionnaires, mathematical problem-solving tests, and in-depth interviews. Data validity was ensured through triangulation, and the data were analyzed through data reduction, presentation, and conclusion drawing. The results showed that student with a visual learning style fulfilled all indicators of relational understanding, including classifying objects, applying and justifying mathematical procedures, and connecting concepts. Reading-style student also met all indicators, though they showed less strength in defining necessary and sufficient conditions. In contrast, while auditory and kinesthetic learners did not meet all relational understanding indicators, their difficulties varied. Auditory student struggled particularly with justifying procedures and connecting concepts, while kinesthetic learners faced challenges in explaining reasoning and classifying objects. These findings can serve as a reference for teachers and educators in designing instructional strategies that are aligned with students’ learning styles to enhance their conceptual understanding in mathematics.
Survival Time Analysis of Multiple Myeloma Patients using Type 1 Censored Exponential Distribution Parameter Estimation Wahyu Subekti, Cahya Arsyika; Nilasari, Inas; Syarif, Devi Mufidah; Syahzaqi, Idrus; Kurniawan, Ardi
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.v9i3.32179

Abstract

Multiple myeloma is a type of blood cancer that attacks plasma cells in the bone marrow and affects the immune system. This study analyzes the survival time of patients with multiple myeloma using Type 1 censored exponential distributed parameter estimation. The data, consisting of 47 patients (35 uncensored and 12 censored), were tested for exponential distribution fit using the Anderson-Darling test, yielding a p-value of 0.495, confirming the suitability of the exponential model. The maximum likelihood estimation method was applied, resulting in a parameter estimate (θ ̂) of approximately 54.028 days, representing the mean survival time. Hypothesis testing and confidence intervals were conducted, with the 95% confidence interval for θ_0 ranging between 32 and 53 days. The findings suggest that the exponential distribution effectively models the survival data, providing insights into patient survival trends and supporting clinical decision-making.
Bayesian Spatial Quantile Regression for Earthquake Risk Assessment and Insurance Pricing in Indonesia Novkaniza, Fevi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.32415

Abstract

Indonesia’s geographical location along the Pacific Ring of Fire makes it one of the most seismically active countries in the world, with earthquakes causing recurrent and significant economic losses. To address the need for more accurate and regionally sensitive insurance pricing, this study develops a Bayesian spatial quantile regression model that estimates the 90th percentile of earthquake-induced economic losses. Unlike conventional models that focus on mean losses, this approach captures the upper tail of the loss distribution, which is essential for designing risk financing instruments that can withstand catastrophic events. The model incorporates two main predictors: earthquake magnitude (on the Richter scale) and a provincial risk exposure index constructed from population and GDP per capita. Spatial effects are modelled using a Gaussian kernel with multiple bandwidths. Based on Leave-One-Out Cross-Validation, a bandwidth of 500 kilometers yields the best model performance, effectively capturing regional dependence in earthquake loss data. Historical data from 1930 to 2024 are used to estimate parameters via Markov Chain Monte Carlo sampling with the No-U-Turn Sampler. Results indicate that both earthquake magnitude and socioeconomic exposure are significant drivers of high-end losses. For instance, the model estimates that West Sumatra and Yogyakarta could experience annual benefit payouts exceeding USD 300,000 in high-severity scenarios. Earthquake insurance premiums are then derived using the expected payout values and a 10% premium loading factor. Premium estimates range from USD 0 to over USD 50,000 across provinces, with 20 out of 34 provinces requiring positive premiums. This study contributes a novel modelling framework that integrates quantile regression, spatial weighting, and exposure-based risk assessment. The results provide a data-driven basis for setting premiums and allocating disaster risk financing more equitably across regions. Limitations include reliance on proxy variables for exposure and the exclusion of building-level vulnerability data, which may affect precision in highly localized assessments.
Exploring Cognitive and Gender Factors in Mathematical Creativity: Evidence from Indonesian Vocational Schools Pantaleon, Kristianus Viktor; Pereira, Jerito; wijaya, Tommy Tanu; Visera, Elisabeth
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.31443

Abstract

Despite the increasing focus on creativity in mathematics education, research on the combined effects of cognitive style and gender on mathematical creative thinking in vocational high schools is still scarce, especially in Indonesia. This study investigated the influence of cognitive style and gender on the mathematics creative thinking of 60 eleventh-grade students in a vocational high school, classified as Field Independent (FI) or Field Dependent (FD) by the Group Embedded Figures Test (GEFT). Mathematical creativity, which includes fluency, flexibility, and originality, was assessed using an open-ended test that was verified by two experts in mathematics education and pilot-tested for reliability. Data were examined via two-way ANOVA. The findings indicated that FI students markedly surpassed their FD counterparts across genders (p < 0.001), although gender disparities were not statistically significant, although females exhibited a tendency for enhanced fluency and inventiveness, while males shown better flexibility. No notable interaction between cognitive style and gender was detected. These findings underscore the superiority of cognitive style over gender in influencing mathematical creativity in vocational environments and present the inaugural empirical evidence for this combination effect within the Indonesian context. They propose that vocational mathematics instruction must be cognitively adaptive providing structured scaffolding and collaborative methods for FD learners, and open-ended, self-directed tasks for FI learners to enhance creativity and problem-solving abilities pertinent to real-world vocational challenges.
Development of Digital Comics Based on Local Wisdom to Improve Students' Mathematical Literacy Skills Sari, Indah Puspita; Supriyadi, Edi; Hidayat, Wahyu
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.32635

Abstract

This study aims to develop a digital comic based on local wisdom to enhance the mathematical literacy skills of junior high school students. The research employed a Research and Development (R&D) approach using the ADDIE model, which consists of five stages: Analysis, Design, Development, Implementation, and Evaluation. Data collection techniques included both test and non-test instruments. The test instrument comprised a mathematical literacy assessment designed to measure students’ mathematical literacy skills, while the non-test instruments included observation sheets, interview guidelines, student response questionnaires toward the digital comic, and validation sheets to assess the practicality and validity of the developed product. The validity and practicality data were analyzed using percentage techniques, while the effectiveness of the product was evaluated using the N-gain score. The findings indicate that the digital comic based on local wisdom achieved content and graphic component validity scores of 75.67% and 76.33%, respectively, categorized as “valid.” Meanwhile, the presentation and language components received validity scores of 66.67% and 68.33%, categorized as “moderately valid.” In terms of ease of use, visual appeal, and perceived usefulness, the instructional material was deemed “highly practical.” Test results revealed that students’ scores across all mathematical literacy indicators fell within the moderate category. Based on these findings, it can be concluded that the developed digital comic grounded in local wisdom is valid, practical, and effective for use in classroom instruction to enhance students’ mathematical literacy. From a practical standpoint, this comic offers an engaging alternative for contextual learning media. Academically, the results underscore the importance of integrating local culture and visual media in the development of innovative instructional materials.
Bibliometric Analysis of Comparative Studies in Mathematics Textbook Analysis Research: Trends, Gaps, and Future Directions (Mark Revision Manuscript) Kristanto, Matias Vico Anggoro; Nurhasanah, Farida; Setiawan, Rubono
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.32785

Abstract

While the cross national comparative analysis of mathematics textbooks is an expanding field of research, a dedicated bibliometric mapping to identify research gaps and provide clear directions for future inquiry is notably absent. Therefore, this study aims to provide a bibliometric analysis that maps publication trends, identifies the most influential authors and documents, and delineates research gaps to offer clear signposts for future research. The methodology involves a qualitative analysis and mapping of data retrieved from the Scopus database for the period 2010–2024. Following a screening process based on inclusion and exclusion criteria, a final corpus of 89 papers was selected for synthesis in this study. The analysis software, VOSviewer, was employed for keyword co-occurrence and co-citation mapping, supplemented by distribution diagrams for trend analysis. Four main findings emerged: first, there has been a significant and increasingly multidisciplinary growth in publications. Second, a thematic evolution is observed, shifting from structural reviews towards more complex evaluative approaches focused on cognitive load and learning implications. Third, research gaps were identified concerning the linguistic presentation of mathematical concepts and the inclusion of social values. Finally, the analysis highlights the most influential authors and articles in the field. Implications of this study are expected to serve as a compass for researchers, guiding them toward achieving novelty in future comparative analyses of mathematics textbooks. 
Predictive Modelling of Rainfall using Deep Learning Based on Satellite Data for Flood and Drought Disaster Mitigation in Sumbawa Regency Aprianto, Romi; Putra, Armansyah; Nufus, Hayatun
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.32556

Abstract

Floods and droughts in Sumbawa Regency have intensified in frequency and impact over recent decades, driven by complex climatic interactions and anthropogenic activities. Accurate rainfall forecasting is critical for effective disaster risk reduction and water resource planning. This study develops a Long Short-Term Memory (LSTM) model that integrates satellite-derived rainfall with global climate indicators (Sea Surface Temperature (SST) and Southern Oscillation Index (SOI)) to enhance monthly rainfall prediction. Compared to statistical baselines (SARIMAX: RMSE ≈ 92 mm) and machine learning baselines (Random Forest: RMSE ≈ 84 mm), the multivariate LSTM achieves superior performance with RMSE = 65.2 mm (R = 0.82), reducing forecast error by ~25%. The 12-month forecast for June 2025–May 2026 indicates an extended dry season (June–September) followed by intense rainfall peaking at 266 mm in February 2026, highlighting risks of hydrometeorological extremes. By pioneering the fusion of satellite data and LSTM in Indonesia, this research provides actionable insights for early warning systems and supports climate adaptation strategies in water management, agriculture, and disaster preparedness. The model offers a scalable framework for operational rainfall prediction in climate-vulnerable tropical regions.
Optimizing Junior High School Students' Mathematical Literacy through Wordwall-Based E-Modules with the FICAS Learning Model Wijayanto, Zainnur; Rochmiyati, Siti; Hidayat, Rosidah Aliim; Trisnawati, Desi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.31647

Abstract

The  development of digital technology opens up great opportunities in the transformation of mathematics learning, especially in improving students' mathematical literacy. This study aims to develop a Wordwall-based e-module integrated with the FICAS (Flipped Classroom–Advocacy Sosiograph) learning model that is valid, useful, and can help junior high school students become more independent and more mathematically literate learners. The development study of the design research type, which includes the analysis, design, expert validation, limited trials, and assessment phases, is the methodology used. Teachers need to understand the use of technology in learning, especially through wordwall-based e-modules. The technique analysis used is T test analysis to compare the use of wordwall-based e-modules.   The findings of this study reveal that the Wordwall-based e-module is able to optimize the flipped classroom approach interactively, improve conceptual understanding, student interest in mathematics learning, and encourage mathematical literacy skills more meaningfully. These findings indicate that the integration of digital media and innovative learning models has significant potential in supporting 21st-century mathematics learning.
An ST-DBSCAN Approach to Spatio-Temporal Clustering of Earthquake Events in West Java, Indonesia Widyawati, Dwi Kartika; Fauzan, Achmad
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.33079

Abstract

Earthquakes are among the most frequent and damaging natural disasters in Indonesia, particularly in West Java Province, where their unpredictable occurrence often causes casualties and severe infrastructure damage. This study aims to identify spatial and temporal patterns of earthquakes to support disaster risk mitigation efforts. A quantitative exploratory approach was applied using the Spatio-Temporal Density-Based Spatial Clustering of Applications with Noise (ST-DBSCAN) method, which groups earthquake events based on their proximity in space and time while distinguishing random noise. The analysis utilized secondary earthquake data from the Meteorology, Climatology, and Geophysics Agency (BMKG) covering the period January 2022 to December 2023. The results revealed eight distinct clusters and several high-risk zones with strong internal similarity (silhouette coefficient = 0.721), indicating stable and stationary patterns over the observed period. These findings demonstrate that ST-DBSCAN is effective in detecting consistent earthquake-prone areas. More importantly, the study provides practical implications for disaster mitigation, including the development of targeted early warning systems, prioritization of high-risk areas such as Cianjur Regency, and more efficient allocation of resources to strengthen preparedness and community safety.
Spatial Modelling of Child Malnutrition in East Java using Geographically Weighted Regression Gunawan, Syifa' Azizah Putri; Fortunata, Regina; Ana, Elly
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.32103

Abstract

Child malnutrition is a persistent public health issue in East Java, Indonesia, characterized by uneven spatial distribution across its 38 regencies and cities. This study aims to model the prevalence of malnutrition among children under five using Geographically Weighted Regression (GWR) to identify locally significant determinants. Secondary data used in this study is prevalence of child nutritional status by regencies/cities in East java, taken from the 2023 Indonesian Health Survey, incorporating seven predictor variables: low birth weight prevalence, complete immunization coverage, exclusive breastfeeding, access to improved sanitation, number of community health posts (Posyandu), access to clean water, and poverty rate. Spatial dependence and heterogeneity were confirmed through Moran’s I (p = 0.009) and Breusch-Pagan tests (p = 0.024), validating the application of GWR. Spatial dependence and heterogeneity were confirmed through Moran’s I (p = 0.009) and the Breusch-Pagan test (p = 0.024), indicating the relevance of a spatial modelling approach. The best-performing model used an adaptive bi-square kernel (CV = 0.133; R² = 94.15%). All predictors exhibited spatial variability with statistically significant effects in specific regions (p < 0.05). In Tuban Regency, for instance, five variables including low birth weight, breastfeeding practices, and sanitation were significantly associated with malnutrition rates. These findings suggest that the relationship between predictors and malnutrition is not uniform across regions. GWR enables the identification of local patterns often overlooked by global models, offering a more accurate understanding of spatial disparities. The results provide strong evidence for developing targeted, region-specific public health strategies to address child malnutrition more effectively in East Java 

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