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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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Study of Economic Growth in IKN based on Autoregressive and Distributed Lag Approach Amelia, Dita; Suliyanto, Suliyanto; Zah, Alfian Iqbal; Mutyaravica, Astrid
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27513

Abstract

Indonesia's economy plays an important role in supporting national development and government policies in various sectors such as education, health, and infrastructure. In the first quarter of 2024, Indonesia's economy experienced an increase from the same period in 2022. East Kalimantan experienced significant growth supported by the mining sector, metal industry, and the National Capital City project. However, East Kalimantan is dependent on raw material exports and faces challenges in economic transformation. The government aims to increase exports of processed products to reduce poverty and unemployment. This study analyzes whether economic growth in IKN affects the economy of East Kalimantan, by considering inflation, CPI, export value, and GRDP. This study uses quantitative research methods using Autoregressive Distributed Lag (ARDL) with the advantage that it can be used in models with different levels of stationary and does not matter the number of samples with the data used is secondary data from BPS. The best model obtained is ARDL (3, 3, 4, 3, 4) based on the smallest AIC value which shows the long-term and short-term relationship. Economic growth, export value, and GRDP from the previous quarter affect growth negatively, while GRDP from the same period and the previous quarter affect growth positively. In the long run, export value and GDP significantly affect growth. These results provide insights for the government in managing East Kalimantan's growth, supporting sustainable development and SDG achievement. The results of this study are expected to be a reference for the central government to make policies related to factors that affect Economic Growth in the hope of increasing economic growth in East Kalimantan. 
Structural Equation Modeling on Data on Students' Knowledge and Interest in Entrepreneurship in Lampung Sholiha, Sangidatus; Vahia, Ira; Dewi, Wardhani Utami
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.26557

Abstract

Entrepreneurship plays a crucial role in economic growth and reducing unemployment, particularly in regions like Lampung, Indonesia, which face challenges such as limited entrepreneurial resources and low interest in entrepreneurship. This research aims to explore the relationship between entrepreneurial knowledge and entrepreneurial interest among students in Lampung, using Structural Equation Modeling (SEM) for analysis. A quantitative approach with a cross-sectional design was applied, involving 300 students randomly selected using simple random sampling from Lampung. The study focuses on entrepreneurial knowledge as the independent variable and entrepreneurial interest as the dependent variable. Data were collected using a questionnaire and analyzed with R Studio 4.2.1 using the lavaan package for SEM. The results show that entrepreneurial knowledge significantly influences entrepreneurial interest, explaining 86.10% of its variation. These findings suggest that strengthening entrepreneurial knowledge through curriculum development and innovative learning approaches can boost students’ entrepreneurial interest. Higher education institutions in Lampung can improve entrepreneurial education by integrating practical knowledge, case studies, and mentorship programs to foster entrepreneurial attitudes. This research contributes to the growing field of entrepreneurship education and offers actionable insights for policymakers and educators to develop sustainable entrepreneurs in Lampung.
Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials Nurliantika, Nurliantika; Fran, Fransiskus; Yundari, Yundari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27871

Abstract

Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders. Chebyshev polynomial can be used to find and develop a more efficient formula in calculating the determinant of matrices. This research explores the Chebyshev polynomials of the first kind T_n (x) and second kind U_n (x). Both types of Chebyshev polynomials, T_n (x) and U_n (x), can be represented using recurrence relations. This research aims to determine the determinant of tridiagonal and circulant matrices of special form using Chebyshev polynomials T_n (x) and U_n (x). Determining the determinant of a matrix is a fundamental problem in linear algebra that plays an important role in both theoretical and applied mathematics. Its theoretical contributions include a deeper understanding of matrix properties, the development of efficient computational methods, and the explanation of the relationship between matrices and orthogonal polynomials. By utilizing Chebyshev polynomials, this study strengthens determinant theory, particularly for matrices with special shapes. The steps to determine the determinant of tridiagonal and circulant matrices involve the application of elementary row operations. The first step is to perform row operations on the tridiagonal and circulant matrices to obtain a matrix form that conforms to the determinant theorem of the tridiagonal and circulant matrices. After the elementary row operation is applied, if the form of the tridiagonal and circulant matrices each satisfies the form in the determinant theorem of the tridiagonal and circulant matrices, then the determinant of the matrices can be calculated using each of the theorems that satisfy. Then the determinants of the tridiagonal and the circulant matrices are obtained. The results of this study show that the determinant of tridiagonal and circulant matrices of special form can be determined using Chebyshev polynomials T_n (x) and U_n (x).
Metric Coloring of Pencil Graphs Adawiyah, Robiatul; Pujiyanto, Arif; Kristiana, Arika Indah; Dafik, Dafik; Prihandini, Rafiantika Megahniah; Susanto, Susanto
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27242

Abstract

A graph is defined as an ordered pair (V,E), where V is a non-empty set of elements called vertices, and E is a set of edges that are finite and may be empty. Each edge connects two distinct vertices from V(G). Let f:V(G)→{1,2,3,…,k} be a coloring of the vertices of graph G, where two adjacent vertices can be colored with the same color. Considering the set of color classes Π={C_1,C_2,…,C_k}, for a vertex v in G, the color representation of v is a k-vector r(Π)=(d(v,C_1 ),d(v,C_2 ),…,d(v,C_k )),, where d(v,C_1 )=min⁡{d(v,c)∶c∈C_1}. If r(u | Π )≠r(v | Π ) for every two adjacent vertices u and v in G, the coloring is called a metric coloring of G. Thus, it can be concluded that two adjacent vertices u and v can be colored with the same color if their metric code conditions are different. The minimum number of the metric coloring is called as metric chromatic number. The goal of this research is analizing the metric chromatic number of the pencil graph. This graph was chosen because no previous research had been carried out on this graph. The proof begins by determining the lower bound, then determining the upper bound by checking coloring function and checking the metric coloring function and the metric code function of each vertex. In this research, we got the exact value of metric chromatic number of several type of pencil graph.
The Urgency of Developing Teaching Modules Based on Ethnomatics Learning for Numeracy Skills Fitriani, Fitriani; Baharuddin, Muhammad Rusli; Patmaniar, Patmaniar; Wafda, Andi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.26846

Abstract

Numeracy is one of the essential foundational skills that students must master, yet the 2018 Programme for International Student Assessment (PISA) survey revealed that Indonesian students ranked 72nd out of 79 countries in numeracy skills, reflecting low mathematical literacy globally. This issue often stems from the presentation of mathematical material that is abstract and less relevant to everyday life contexts. This study aims to develop a teaching module based on ethnomathematics learning that integrates the local culture of Luwu to improve students' numeracy skills. This research employs the research and development (R&D) method with the 4D model, encompassing the stages of Define, Design, Develop, and Disseminate. In the Define stage, a needs analysis and identification of local cultural potential were conducted. In the Develop stage, the module was validated by experts using validation sheets to assess the relevance of the material, completeness of information, and clarity of presentation. The module's practicality was evaluated through questionnaires and observations to assess its ease of use and effectiveness in learning. The results indicate that the teaching module based on ethnomathematics learning is both valid and practical. The module achieved high validity based on expert assessments covering material relevance, completeness of information, and clarity of presentation. The module's practicality was measured through teacher and student responses, reflecting its ease of use and effectiveness in enhancing student engagement in numeracy learning. In conclusion, the teaching module based on ethnomathematics learning has proven effective in improving students' numeracy skills and successfully integrating local cultural values into learning. This study contributes to the development of relevant, meaningful, and contextual teaching materials in mathematics education.
The GSTAR (1;1) Modelling with Three Combination of the Grid Sizes and Spatial Weight Matrix in Forest Fires Cases Ayyash, Muhammad Yahya; Huda, Nur'ainul Miftahul; Imro'ah, Nurfitri
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27543

Abstract

One of the models that is utilized in spatio-temporal analysis is known as the Generalized Space-Time Autoregressive (GSTAR). This model incorporates two dimensions, namely the geographical and temporal aspects of the situation. This approach assists in the identification of patterns and correlations between data by taking into account both spatial and temporal elements. From modeling the confidence level of forest fire hotspot cases in Kubu Raya and its surrounds using the GSTAR (1;1) model with three different combinations of grids and special weight matrices, the purpose of this study is to discover which combination of grids and spatial weight matrices is the most effective. The results of diagnostic tests and the degrees of MAPE accuracy are used to determine which model is the most suitable. The data was obtained from the FIRMS-NASA platform, ranging from January 2014 to August 2024. A grid with a dimension of 1.25 x 1.25 degrees and a rook contiguity weight matrix is a combination of grids and spatial weight matrices that meet the white noise assumption, according to the findings of the study. This conclusion is based on the diagnostic test. As a result, the combination of a grid with a size of 1.25 x 1.25 and a rook contiguity weight matrix is the best in this modeling. This combination has a MAPE of 11.797%, which indicates that this model has a good level of accuracy. 
GARITA Media: Students' Mathematical Communication in Solving Contextual Problems Cholily, Yus Mochamad; Rosyadi, Alfiani Athma Putri; Suciati, Nur; Usmiyatun, Usmiyatun
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.26404

Abstract

Based on observation results, the mathematical communication skills of 6th-grade elementary school students are still relatively low. This can be seen during classroom learning activities or when taking exams, when they are faced with contextual story problems they have difficulty understanding and solving them. The implementation of this research activity aims to see effect GARITA media and the mathematical communication skills of 6th-grade elementary school students, as shown through the results of contextual problem assignment scores. Apart from looking at the connection between GARITA media and mathematical abilities, this research was conducted to increase students' understanding in solving contextual problems. GARITA media is a media in the form of story images which have the role of helping to illustrate the problems in story problems, making it easier for students to understand the content of contextual problems and solve them. This research uses quantitative methods with quasi-experiments. The population of this study were students at SD Muhammadiyah 3 IKROM Wage Sidoarjo. This research activity took data from 29 Zahrawi 6th grade students as the control group and 30 Haitam 6th grade students as the experimental group. The result of this research data was obtained by carrying out a post-test in the form of a contextual question test and a student response questionnaire. The data analysis techniques used in this research are normality test, homogeneity test, and hypothesis test. This shows a significant difference in the mathematical communication skills of students who received treatment using GARITA assistance with students who did not receive treatment. The homogeneity test result shows that homogeneity data based on post-test data shows a figure < 0,05. Hypothesis testing shows a significant influence based on the result of the independent sample t-test < 0,05. So, the result of this research indicates that GARITA media can influence the improvement of students' mathematical communication skills in solving contextual problems. 
Enhancing Weather Forecasting in Bandar Lampung: A Hybrid SARIMA-LSTM Approach Kurniasari, Dian; Salsabila, Anindya Dafa; Usman, Mustofa; Warsono, Warsono
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27188

Abstract

Indonesia’s tropical climate, marked by rainy and dry seasons, is increasingly affected by extreme weather events driven by climate change. Rising temperatures, shifting rainfall patterns, and sea-level rise have intensified health risks such as malaria, dengue hemorrhagic fever (DHF), and gastrointestinal infections. Accurate weather forecasting is essential for mitigating these challenges and informing risk management strategies. This study develops and evaluates a hybrid SARIMA-LSTM model for weather forecasting in Bandar Lampung, integrating time series analysis with deep learning to enhance predictive accuracy. SARIMA captures seasonal variations, while LSTM models nonlinear relationships, offering a robust approach to forecasting complex weather patterns. The SARIMA (6,1,0)(3,1,0)26 model was selected for its effective seasonal representation and combined with LSTM to leverage its capability in modelling nonlinear dependencies. Hyperparameter optimization using grid search further improved model performance. Two data partitioning approaches were tested: 70%-30% and 80%-20% splits for training and testing, respectively. The SARIMA-LSTM hybrid model demonstrated superior performance with the 80%-20% split, achieving MSE, RMSE, and MAPE values of 0.1174, 0.3426, and 0.0104%, respectively. The model accurately forecasted weather conditions over 21 weeks, aligning closely with observed trends and effectively capturing seasonal patterns. These findings underscore the model’s potential to support public health strategies, including disease outbreak mitigation for malaria and DHF, and enhance disaster preparedness in flood-prone areas.
Numerical Simulation of Fluid Flow in the Narrow Strait with Density Differences Usman, Tarmizi; Ikhwan, Muhammad; Zulfataya, Muhammad; Adami, Farhan
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27252

Abstract

This study investigates the dynamics of fluid flow through a narrow strait connecting two large water bodies with different densities using numerical simulations. The research focuses on understanding how density-driven currents develop and interact in a confined channel, particularly the role of lateral density contrasts and the influence of gravitational and geostrophic forces. A semi-implicit numerical method is employed to efficiently model the complex flow dynamics while ensuring stability. The simulation results are analyzed using visualizations of the flow fields, which highlight the evolution of density-driven currents, vortex formation, and geostrophic adjustments over time. The findings reveal that denser water from the western basin flows toward the eastern basin, lowering the sea surface in the west and raising it in the east. Over time, the Coriolis force causes the bottom flow to deflect southward and the returning surface flow to shift northward, leading to geostrophic equilibrium. Transient vortices emerge within the strait, while stationary vortices form in the outflow regions, underscoring the interplay between gravitational forces, density contrasts, and rotational effects. These findings offer important insights into the hydrodynamic behavior of narrow straits, which are common in nature. The results can help improve the understanding of flow patterns in similar environments, such as fjords, estuaries, and channels, and may contribute to studies on sediment transport, nutrient mixing, and renewable energy potential in density-driven systems. 
Multigroup Analysis on Partial Least Square-Structural Equation Modeling in Modeling College Students' Saving Behavior Asaliontin, Lisa; Sumarminingsih, Eni; Solimun, Solimun; Sepriadi, Hanifa; Iriany, Atiek; Hamdan, Rosita
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27692

Abstract

This study aims to determine the factors that influence college students' saving behavior, with gender as a moderating variable. The analysis used is Partial Least Square-Structural Equation Modeling (PLS-SEM) with Multigroup Analysis. This study was conducted on 200 college students in City X who were selected by purposive sampling. Data collection was carried out using a structured questionnaire that measures Perceived Benefits, Perceived Ease of Use, Saving Intentions, and Saving Behavior. Confirmatory Factor Analysis (CFA) and Bootstrapping were used to validate the measurement model and structural relationships. The results showed that Perceived Benefits and Perceived Ease had a significant effect on Saving Intentions and Saving Behavior. In addition, Saving Intentions had a significant effect on Saving Behavior. This relationship applies to both male and female groups, with a determination coefficient of 86.2% for males and 86.7% for females. Moderation analysis shows that gender moderates the relationship between Perceived Benefits and Saving Behavior, as well as between Perceived Ease and Saving Behavior. These findings highlight the importance of considering gender differences in efforts to improve students' savings behavior. 

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