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Tabita Wahyu Triutami
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Griya Journal of Mathematics Education and Application
Published by Universitas Mataram
ISSN : 27761258     EISSN : 2776124X     DOI : https://doi.org/10.29303/griya.v1i2
Core Subject : Education,
Education Mathematics
Griya Journal of Mathematics Education and Application adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun kajian pustaka khusus bidang Matematika dan Pendidikan Matematika.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 560 Documents
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Optimization of Clean Water Distribution Networks at the Unima FMIPA Campus Using the Minimum Spanning Tree Method Christari Lois Palit; Dyrel Samuel Lion Kusnadi
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1172

Abstract

The availability of clean water within higher education institutions is highly crucial to support the operations and convenience of the academic community. Issues regarding limited access to clean water were identified within the Faculty of Mathematics and Natural Sciences (FMIPA) at the State University of Manado, particularly in the Department of Mathematics Education. This study aims to model the clean water distribution network in FMIPA as a weighted graph and determine the optimal distribution path with minimum total pipe length using the Minimum Spanning Tree (MST) method via Prim’s Algorithm. This operations research-based quantitative study mapped six main nodes encompassing the water tank and departmental buildings. Distance data were obtained through digital map observations and Google Earth based on realistic piping pathways. The results indicate that optimization using Prim’s Algorithm produces an efficient single network configuration with the route: . This network successfully eliminates path redundancy, achieving a minimum total pipe length of 175 meters. Through this modeling, the Mathematics Education Department secures a reliable water supply delivered from the Science Education Building with a distance efficiency of only 25 meters. The implications of this research provide a practical recommendation for the university administration to efficiently optimize the allocation of plumbing material budgets.
Modeling Online Loan Risk Dynamics with SEIQRL, Regulation, and Financial Literacy Analysis in Indonesia Christari Lois Palit; Agresia Servina Sabubun; Dyrel Samuel Kusnadi; Julius Zendrato; Mikha Rajagukguk; Tessy Angraini Mokodanga
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1175

Abstract

This study examines the dynamics of risky online lending behavior in Indonesia using the SEIQRL mathematical model. The model extends the SEIR approach by adding Quarantined (Q) and Literate (L) compartments to represent regulatory intervention and financial literacy. This study aims to construct the SEIQRL model, analyze the risk-free equilibrium point, calculate the basic reproduction number (R₀), and evaluate the effects of regulation and financial literacy on the spread of risky online lending behavior. The method uses a quantitative approach based on mathematical modeling and numerical simulation with Wolfram Mathematica. The results show that the baseline scenario produces an R₀ value of 6.1538, indicating that risky online lending behavior can spread strongly within the population. Strong regulation and strong literacy scenarios reduce the risk, but they do not fully control its spread. The combined regulation and literacy scenario produces an R₀ value of 0.8696, meaning the risk can be controlled because R₀ < 1. These findings show that controlling risky online lending cannot rely only on access restrictions or service blocking. Early financial literacy must also serve as a preventive strategy. The SEIQRL model can support policy analysis for controlling online lending risks in Indonesia.
Efektivitas Metode Permainan Class Mart Berbasis Pendekatan PMRI dalam Meningkatkan Minat Belajar Risma Hanim Mazida; Diana Ermawati; Fitriyah Amaliyah
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1179

Abstract

Penelitian ini didorong oleh pembelajaran matematika yang masih bersifat konvensional dan abstrak, sehingga menyebabkan rendahnya minat belajar dan munculnya kebosanan pada siswa. Penelitian ini bertujuan untuk mengukur besarnya peningkatan yang terjadi pada minat belajar matematika siswa sesudah penerapan pembelajaran menggunakan metode permainan Class Mart berbasis pendekatan Pendidikan Matematika Realistik Indonesia (PMRI). Penelitian menggunakan pendekatan kuantitatif model One-Group Pretest-Posttest Design yang dilaksanakan di SD Negeri Wotan 02 pada periode Maret 2026 hingga April 2026. Data dikumpulkan melalui instrumen angket dan lembar observasi yang telah divalidasi, kemudian dianalisis menggunakan Paired Sample t-Test dan N-Gain Score. Hasil penelitian menunjukkan adanya perbedaan signifikan berupa peningkatan pada minat belajar matematika setelah penerapan metode permainan Class Mart berbasis pendekatan Pendidikan Matematika Realistik Indonesia (PMRI). Analisis statistik menunjukkan perolehan skor N-Gain sebesar 0,56 (kategori Sedang) dan persentase N-Gain sebesar 56,36% menunjukkan bahwa metode ini "Cukup Efektif." Kesimpulannya, metode permainan Class Mart berbasis pendekatan PMRI cukup efektif untuk meningkatkan minat belajar matematika siswa secara signifikan, khususnya pada materi bilangan sampai 1.000.000.
Optimalisasi Produksi Bakso dengan Menggunakan Pendekatan Integer Linear Programming Pada Rumah Makan Jawa Lumintu David Kapele; James Mangobi
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1189

Abstract

Micro, small, and medium enterprises (MSMEs) in the culinary sector often face production planning problems due to limited raw materials and production decisions based on estimation. This study aims to determine the optimal production quantities of several meatball variants at Rumah Makan Jawa Lumintu using Integer Linear Programming (ILP) assisted by POM-QM for Windows. This research is an applied quantitative study in Operations Research. Data were collected through observation and interviews regarding raw material composition, production output, inventory availability, and the production system. A mathematical model was developed to maximize total meatball production by considering raw material constraints, minimum production requirements, and integer restrictions. The results showed that the optimal production combination in a four-day production cycle consists of 5942 regular meatballs, 150 tenes meatballs, 200 tendon meatballs, and 50 super meatballs, yielding a maximum production of 6342 meatballs. Compared with the actual production of 5320 meatballs, the optimization model increased output by 1022 meatballs or 19,21%. Therefore, ILP assisted by POM-QM for Windows can be used as an effective tool for more optimal, efficient, measurable, and data-driven production planning.
Penerapan Metode Kuadratur Gauss-Legendre dalam Estimasi Akumulasi Curah Hujan Harian DAS Bengawan Solo Linda Agustin WWidyawati Lestari; Mukaromah Mafaza; Ari Wibowo
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1190

Abstract

This study applies the Gauss-Legendre Quadrature method with order variations n = 2 to n = 6 to calculate discrete daily rainfall accumulation at the Jurug 2 Station of BBWS Bengawan Solo during the period of March 17 - April 15, 2026, which is directly relevant to the major flooding event in Solo Raya on April 14 - 15, 2026. The method adaptation was carried out through interval transformation using the formula xᵢ = 15tᵢ + 16 and linear interpolation to obtain function values at non-integer evaluation points, with all computations implemented using Microsoft Excel. The actual rainfall accumulation value of 353.5 mm was used as the error reference. The calculation results show that the estimates for each order are 293.222 mm (n = 2; error 17.05%), 78.114 mm (n = 3; error 77.90%), 289.299 mm (n = 4; error 18.16%), 252.338 mm (n = 5; error 28.62%), and 414.449 mm (n = 6; error 17.24%). The error convergence pattern is non-monotonic and deviates from theoretical expectations due to the non-smooth characteristics of daily rainfall data with 13 zero-value days. Order n = 2 produces the smallest error, although this advantage is situational. The study concludes that simultaneous cross-order validation is more reliable than applying a single order to support flood early warning systems.
Vape-Demic: Pengaruh Lingkungan Pergaulan terhadap Penularan Penggunaan Vape (Rokok Elektrik) menggunakan Model SEIR Prily Azizah Humu; Indah Chairun Nisa; Aprilia Pangemanan Montolalu Jehosua; Syeren Kowaas; Nopsi Kilaaku
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1191

Abstract

The use of vape among teenagers and young adults has increased in recent years and is influenced by social environments. This study aimed to analyze the influence of social interaction on the spread of vape use using the Susceptible, Exposed, Infected, Recovered (SEIR) model. This research used a quantitative approach with an epidemiological mathematical modeling method. Data were collected through an online survey using Google Forms involving young people in Tondano from March 12, 2026 to May 10, 2026. The study sample consisted of 54 respondents selected using purposive sampling techniques. Data analysis was conducted by calculating the SEIR model parameters based on survey results, followed by simulation using RStudio to observe the dynamics of population changes in each group. The results showed that social interaction had a significant influence on the spread of vape use. The β parameter value of 0.444 indicated the influence of social interaction on susceptible individuals. The α parameter value of 0.923 showed that individuals who became interested in vape had a high probability of becoming active users, while the γ parameter value of 0.541 indicated that some active users were able to stop using vape. Simulation results demonstrated that the number of active vape users increased over time due to social environmental influences. This study shows that the SEIR model can be applied to analyze the spread of social behavior, particularly vape use behavior.
Implementasi Penilaian Portofolio dan Unjuk Kerja dalam Mengukur Kemampuan Berpikir Kritis Matematis Siswa SMP Negeri 4 Banyumas Uswatun Khasanah; Nasywa Alya Syafitri; Arif Wisnuadi Erhatmono; Ignasia Imannurzaky Ozora; Kusno
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1195

Abstract

Critical thinking skills in mathematics are among the essential competencies that need to be developed in junior high school mathematics education. However, assessment practices in mathematics learning still tend to emphasize final outcomes through written examinations, resulting in limited evaluation of students' thinking processes. This study aims to describe the implementation of portfolio assessment and performance assessment in evaluating students' mathematical critical thinking skills at SMP Negeri 4 Banyumas. The study employed a qualitative approach using a descriptive research method. Data were collected through interviews with mathematics teachers and documentation of students' work. Data analysis was conducted descriptively through the stages of data reduction, data display, and conclusion drawing. The findings revealed that performance assessment was implemented through group presentations, classroom problem-solving activities, and final quizzes, while portfolio assessment was conducted through individual assignments and students' work collected throughout the learning process. Both assessment types provided more comprehensive insights into students' mathematical critical thinking skills compared to traditional assessment methods. The study indicates that authentic assessment can support teachers in evaluating students' thinking processes, engagement, and mathematical communication skills more thoroughly.
Pemodelan Dinamika Viralitas Konten Digital Di Kalangan Mahasiswa Jurusan Matematika Menggunakan Model Susceptible-Infected-Recovered (SIR) Indah Chairun Nisa; Asmita Masloman; Voni Tiku Rede; Anesty Gitalia Hutajulu; Rio Rikardo Durikasi
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1196

Abstract

Perkembangan media sosial menyebabkan penyebaran informasi dan konten digital berlangsung sangat cepat, termasuk di kalangan mahasiswa. Viralitas konten digital terjadi ketika suatu informasi dibagikan secara berulang oleh pengguna media sosial sehingga menjangkau banyak individu dalam waktu tertentu. Penelitian ini bertujuan untuk menganalisis dinamika viralitas konten digital di kalangan mahasiswa jurusan pendidikan matematika menggunakan model Susceptible–Infected–Recovered (SIR). Penelitian ini menggunakan pendekatan kuantitatif berbasis pemodelan matematika dengan data yang diperoleh melalui penyebaran kuesioner kepada mahasiswa pendidikan matematika yang aktif menggunakan media sosial. Populasi dibagi ke dalam tiga kelompok, yaitu Susceptible (S), Infected (I), dan Recovered (R). Model matematika yang digunakan dinyatakan sebagai , dan . Berdasarkan hasil normalisasi data diperoleh kondisi awal S = 0.39, I = 0.26 dan R = 0.35 dengan parameter dan. Simulasi numerik dilakukan menggunakan software R Studio untuk melihat perubahan populasi dari waktu ke waktu. Hasil simulasi menunjukkan bahwa kelompok Susceptible mengalami penurunan, kelompok Infected meningkat pada tahap awal kemudian menurun secara perlahan, sedangkan kelompok Recovered mengalami peningkatan secara bertahap. Hasil penelitian menunjukkan bahwa viralitas konten digital bersifat sementara karena dipengaruhi oleh perubahan minat pengguna media sosial terhadap suatu konten.
Inovasi Media Pembelajaran Android Berbasis Construct 2 pada Materi SPLDV untuk Mendukung Pembelajaran Matematika Interaktif Rezki Ayu Ramadhani; Aliyah Rahmah. D; Muhammad Ilham; Lisnasari Andi Mattoliang; Ahmad Farham Majid
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1198

Abstract

This research is motivated by students' difficulties in understanding and solving Linear Equation System of Two Variables (SPLDV) problems. This study aims to develop a valid, practical, and effective Android-based learning media using Construct 2 on SPLDV material to support interactive mathematics learning. This research employs a Research and Development (R&D) method, utilizing a 4D model (Define, Design, Develop, and Disseminate). The research subjects were 30 eighth-grade students at MTsN Gowa. The instruments used included validation sheets, teacher and student response questionnaires, as well as pre-test and post-test. The results showed that the learning media met the very valid criteria with an average expert assessment percentage of 94.52%. The media was also declared very practical based on 100% learning implementation, 92.50% teacher response, and 89.56% student response. Furthermore, the media proved effective with a classical completeness of 76.67% and an increase in average student learning outcomes from 27.17 to 80.50. In conclusion, this Android-based learning media is feasible and effectively used as an interactive learning alternative for SPLDV material.
Simulasi Numerik Pengendalian Endemik Demam Berdarah Dengue di Kabupaten Minahasa menggunakan Pendekatan Model SIR-A Christari Lois Palit; Virginia Sarah Kaparang; Samuel Jason Bisuan; Suci Cahnia Laode; Gerald Sunantepar Pakala; Harly Marsel Karamoy
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1201

Abstract

Dengue Hemorrhagic Fever (DHF) persists as a critical threat to public health sectors within tropical ecosystems, including Indonesia. This study evaluates the epidemiological fluctuations of Dengue virus transmission in Minahasa Regency by formulating a SIR-A compartmental mathematical model, focusing on the contribution of strengthened clinical interventions to patient recovery rates. The developed dynamic framework incorporates interactions between human cohorts (susceptible, infected, and recovered phases) and an aquatic pre-adult vector group (mosquito larvae/pupae). The investigative procedure involves constructing a system of nonlinear ordinary differential equations, followed by establishing equilibrium states, calculating the basic reproduction number () threshold, and executing computational simulations via Wolfram Mathematica. Computational outputs demonstrate that an escalation in mosquito larvae density correlates positively with accelerated disease transmission rates. Conversely, optimizing clinical control by increasing the recovery parameter significantly reduces the active infected cohort and drives the system’s trajectory toward a stable disease-free equilibrium state. These insights indicate that accelerating patient care effectiveness and upgrading healthcare infrastructure are crucial policy instruments for suppressing DHF endemic risks in Minahasa Regency.

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