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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 24 Documents
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Search results for , issue "Vol 9, No 2 (2025): April" : 24 Documents clear
Formation of Linear Programming Models of Water Price Compliant to the Regulation of Ministry of Home Affairs, Indonesia Hek, Tan Kim; Hou, Amin
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.v9i2.29484

Abstract

Regional Drinking Water Company (PDAM) Tirtanadi manages Medan City's clean water. PDAM divides its clients into seven categories, with Group I being low-income areas that require water subsidies. PDAM does not yet have a mathematical model for water rates, but it depends on Minister of Home Affairs Regulation No. 23, which gives legal guidance. Since there is no mathematical model, this research uses linear programming (LP) to establish each group's minimal water tariff. PDAM bases its water pricing on the Minister of Home Affairs Regulation No. 23 of 2006 and uses the LP model. The LP model reduces complicated computations into linear equations, making them easier to comprehend and apply. The computed water rates match PDAM pricing for six consumer categories, according to the research. One group, Group II Block I, has a higher tariff ratio of 2.3:1. Model parameters are more susceptible to changes in costs, consumption volume, and payment capability of this group, causing this disparity. This study's new goal is to minimize high-water-use clients. Other groupings remained unchanged. LP models establish PDAM's minimum water rates and optimize water tariff calculation effectively and equitably using analytical methods. PDAM may utilize the LP model to determine pricing that cover all expenditures, but Minister of Home Affairs Regulation No. 23 of 2006 continues to keep tariffs cheap and not a social burden on Medan. This research suggests that additional monopolistic enterprises and other water resource management for 37 Indonesian provinces may utilize its minimum water selling price approach. In the mathematical equation, the LP model is correct. Thus, PDAM Tirtanadi may use it to calculate the minimal water selling price by considering economic considerations. Water firms must help PDAM researchers who are willing to supply data, including polite service from each division's workers.
Modeling Prevalence of Hypertension in Indonesia with Multivariate Adaptive Regression Splines Method Suliyanto, Suliyanto; Saifudin, Toha; Naura, Sheila Sevira Asteriska; Dewanty, Sanda Insania; Wulandari, Indana Zulfa; Aflaha, Nabila Shafa; Aulia, Niswa Faizah
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.v9i2.28392

Abstract

Hypertension is one of the important public health problems in Indonesia, which contributes to the high prevalence of non-communicable diseases. This study aims to model the prevalence of hypertension in Indonesia using the Multivariate Adaptive Regression Splines (MARS) method to identify significant predictors and their interactions. The data used was secondary data from the 2023 Indonesian Health Survey, including variables such as smoking prevalence, physical inactivity, dietary habits (consumption of fatty and sweet foods), lack of fruit and vegetable consumption, and obesity prevalence. The MARS method was used to analyse the nonlinear relationships and interactions between these predictors. After a trial-and-error process to determine the optimal number of basis functions (BF), maximum interactions (MI), and minimum observations (MO), the best model was achieved with BF = 18, MI = 3, and MO = 1. This model produced a Generalised Cross Validation (GCV) value of 13.428 and R-Square of 0.278. This fairly low R-Square value indicates that the factors analysed have contributed to the variation in hypertension prevalence, but there are still other aspects that can be taken into account to improve the predictive power of the model. The significant predictor variables were consumption of fatty foods (X3), lack of physical activity (X2), and consumption of sweets (X4), with the highest importance on X3 (100%). The findings reveal that interactions between variables, such as dietary habits and physical inactivity, significantly influence the prevalence of hypertension. For example, higher consumption of fatty and sweet foods combined with low physical activity increases the risk of hypertension. These results demonstrate the effectiveness of the MARS method in capturing complex and nonlinear relationships and serve as findings that highlight the need for health policies that focus on healthy diets and increased physical activity, in line with Goal 3 of the SDGs, “Good Health and Well-Being,” which aims to reduce premature mortality from noncommunicable diseases. Recommended interventions include nutrition education campaigns and community-based exercise programs to reduce the prevalence of hypertension in Indonesia.
Development of Ethnomathematics-Based Numeracy Literacy Questions in Peci Tapis Lampung Linuhung, Nego; Sudarman, Satrio Wicaksono; Agustina, Rina
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.v9i2.30095

Abstract

The low contextual relevance of conventional mathematics learning materials often results in limited student engagement and understanding, especially in diverse cultural settings. To address this gap, this study aims to develop valid, practical, and effective ethnomathematics-based numeracy literacy questions by integrating the cultural elements of Peci Tapis Lampung into mathematics instruction. The research employed a Research and Development (R&D) method using the 4D model (Define, Design, Develop, Disseminate). In the development phase, the questions were validated by four experts in material, design, and assessment using expert validation sheets. Student responses were measured through a practicality questionnaire. Quantitative data from expert validation were analyzed using descriptive statistics to determine the validity level, while student response data were processed to assess practicality. The validation results indicated that the questions were "Very Valid" with a score of 84%, and student responses revealed a practicality level of 83.75%, categorized as "Very Practical". Additionally, the normalized gain (N-Gain) was calculated at 61.03%, indicating a “High” effectiveness level in improving students' numeracy literacy.  These findings suggest that incorporating local cultural contexts into numeracy literacy can enhance the meaningfulness of mathematical learning and foster a greater appreciation for regional heritage. The ethnomathematics approach, therefore, offers a promising strategy for creating culturally responsive mathematics education.
Investigating STEM Career Interests: How Can Spatial Orientation, Mental Rotation, and Spatial Visualization Explain Them? Saputra, Andari; Priatna, Nanang; Dahlan, Jarnawi Afgani; Husni, Niakmatul
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.v9i2.28891

Abstract

Spatial ability plays a crucial role in shaping students' interest and career paths in STEM (Science, Technology, Engineering, and Mathematics). This quantitative study involved 60 science students aged 15–17 in Bandung, Indonesia, utilizing a spatial ability test to measure mental rotation, spatial visualization, and spatial orientation, along with a career interest questionnaire to assess STEM and non-STEM preferences. Logistic regression analysis confirmed that spatial ability significantly influenced students' STEM interest (p = 0.004) with a moderate contribution. Further analysis using the Independent Samples T-Test revealed that students interested in STEM had significantly higher mental rotation (p < 0.001, Cohen’s d = -1.000) and spatial visualization (p = 0.002, Cohen’s d = -0.797) abilities than non-STEM students, while spatial orientation showed no significant difference (p = 0.112, Cohen’s d = -0.317). These findings highlight the role of spatial ability as a predictor of STEM interest, emphasizing the need for educational interventions such as visualization-based learning, three-dimensional object manipulation, and technology-assisted spatial training, including computer-aided design (CAD) software and mental rotation exercises. Integrating these strategies into mathematics and science curricula can enhance spatial skills and support students' engagement in STEM education and careers. 

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