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JUMAT: Jurnal Matematika
Published by Institut Agama Islam Negeri Fattahul Muluk Papua
ISSN : 30218519     EISSN : 30218519     DOI : https://doi.org/10.53491/jumat
Core Subject : Education,
Education Mathematics
JUMAT: Jurnal Matematika Program Studi Pendidikan Tadris Matematika Institut Agama Islam Negeri (IAIN) Fattahul Muluk Papua adalah jurnal nasional berbasis penelitian ilmiah, secara rutin diterbitkan oleh Program Studi Tadris Matematika IAIN Fattahul Muluk Papua sejak 2023. Kami mengundang para dosen, peneliti, pengkaji, praktisi, dan pemerhati serta mahasiswa S1/S2/S3, untuk mengirimkan paper atau artikel ilmiahnya. Paper yang masuk akan di-review secara double blind peer-review. Setelah proses review selesai, hasil review akan diinformasikan kepada penulis paper melalui sistem Open Journal System (OJS). JUMAT: Jurnal Matematika terbit 2 kali dalam setahun. Secara berkala terbit setiap bulan Juni dan Desember. Scope: Pendidikan Matematika Pendidikan Matematika Realistik Design/Development Research pada pendidikan matematika Kemampuan Matematika ICT dalam Pendidikan Matematika Ethnomatematika Penilaian dan Evaluasi pada Pembelajaran Matematika Mathematics Matematika Murni: Aljabar, Geometri, Analisis, Matematika Diskrit/Kombinatorika. Statistika
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 34 Documents
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Struktur Graf Berarah pada Sistem Kekerabatan Batak Toba (Dalihan Na Tolu) Mey Gracia Sitanggang; Rawiyah; Goffri Simarsoit; Ian Pedrosa manatap Lumban Gaol; Hery Judika Lumban Tobing; Tomi Arianto
JUMAT: Jurnal Matematika Vol. 3 No. 2 (2025): JUMAT, Desember 2025
Publisher : Institut Agama Islam Negeri Fattahul Muluk Papua

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Abstract

This study aims to examine the structure of the Batak Toba kinship system (Dalihan Na Tolu) using a directed graph theory approach. The Dalihan Na Tolu system is a social philosophy of the Batak Toba community consisting of three main elements, namely hula-hula, boru, and dongan sabutuha, which are interconnected within customary and marital structures. This research employed a qualitative descriptive method with a mathematical modeling approach. Data were collected through interviews, observations, and the study of tarombo documents of Raja Nai Pospos’ descendants, particularly the lineage of Toga Marbun and Lumban Gaol. The data were then represented in the form of tree graphs and directed graphs. The results showed that the Batak Toba kinship system is patrilineal, allowing it to be modeled as a tree graph without cycles in the lineage structure. Meanwhile, customary and marital relations among clans form asymmetric directed graphs because the relationships between vertices have different directions and social meanings. In addition, cycles among clans were identified, representing the concept of mambolahi in Batak Toba customs. The analysis of adjacency matrices, in-degree, and out-degree indicated that several clans have higher levels of social connectivity than others. Therefore, directed graph theory is capable of representing the social structure of Dalihan Na Tolu systematically, visually, and mathematically, while also contributing to the development of social mathematics and ethnomathematics studies based on local culture.
Optimasi Keputusan Produksi untuk Meningkatkan Keuntungan Usaha Minuman Kafe melalui Pendekatan Program Linier Nerli Khairani; Rawiyah; Mey Gracia Sitanggang; Ian Pedrosa manatap Lumban Gaol
JUMAT: Jurnal Matematika Vol. 3 No. 2 (2025): JUMAT, Desember 2025
Publisher : Institut Agama Islam Negeri Fattahul Muluk Papua

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Abstract

The coffee shop business is one of the Micro, Small, and Medium Enterprises (MSMEs) sectors that is experiencing rapid growth, but often faces obstacles in optimizing profits due to limited production resources. This study aims to determine the optimal production combination that can maximize the profits of a cafe beverage business through a linear programming approach. This research is a quantitative study with a descriptive-optimization approach conducted at one of the cafe beverage businesses in the period April–May 2026. The research subjects consisted of two decision variables, namely coffee drinks (X₁) and non-coffee drinks (X₂), with five production resource constraints. Data were collected through observation, interviews, and documentation using observation sheets, interview guidelines, and production and sales data. Data analysis was carried out using graphical methods in linear programming to determine the feasible region and optimal solution, and validated using POM-QM software for Windows. The results showed that the optimal solution was obtained at point (40,20), namely 40 units of coffee drinks and 20 units of non-coffee drinks, with a maximum profit of IDR 280,000. In conclusion, the combined production of both products is more optimal than a single product because it maximizes the use of limited resources. The linear programming approach has proven effective as a basis for more rational, efficient, and data-driven production decisions.
Kreativitas Pemecahan Masalah Matematika Mahasiswa Calon Guru Matematika Berdasarkan Gaya Kognitif Reflektif dan Impulsif Mayor M H Manurung; Agnes Teresa Panjaitan
JUMAT: Jurnal Matematika Vol. 4 No. 1 (2026): JUMAT, Juni 2026
Publisher : Institut Agama Islam Negeri Fattahul Muluk Papua

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Abstract

This study aimed to describe the mathematical problem-solving creativity of prospective mathematics teachers based on reflective and impulsive cognitive styles. A descriptive qualitative design was employed. Twenty-five second-semester students in a mathematics education program completed the Matching Familiar Figures Test (MFFT) to identify cognitive styles. Two participants, one reflective and one impulsive, were then selected by considering comparable mathematical ability and communication skills. Data were collected through the MFFT, mathematical problem-solving tasks, and interviews. The data were analyzed through data reduction, data display, and conclusion drawing, with source triangulation used to establish data credibility. The findings show that the reflective participant demonstrated fluency and originality but not flexibility, whereas the impulsive participant demonstrated only fluency. Thus, the two cognitive styles showed different patterns of creative mathematical problem solving, particularly in generating alternative strategies and unfamiliar forms. The findings suggest that mathematics teacher education should provide sustained opportunities for non-routine and open-ended tasks that explicitly encourage alternative strategies, justification, and originality
Pengaruh Model Pembelajaran Realistic Mathematics Education terhadap Kemampuan Pemecahan Masalah Matematika Siswa Sekolah Dasar Aprilia Inayati S R; Nabilah Mansur; Nurdin Kamil; Makmum Raharjo
JUMAT: Jurnal Matematika Vol. 4 No. 1 (2026): JUMAT, Juni 2026
Publisher : Institut Agama Islam Negeri Fattahul Muluk Papua

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Abstract

This research shows that the problem-solving ability of fifth-grade students is still low; students have difficulty in understanding problems, planning, implementing the solution, and drawing conclusions on mathematical word problems. The purpose of this study was to determine how before and after the application of the Realistic Mathematic Education (RME) learning model on mathematical problem-solving abilities on flat shape material and how much influence the Realistic Mathematic Education (RME) learning model has on mathematical problem-solving abilities on flat shape material of fourth-grade students at SD Negeri 91 Palembang compared to conventional media. The method used in this research is a quasi-experiment with a Pretest-Posttest Control Group Design. The research population was all fifth-grade students at SD Negeri 91 Palembang, The data collection techniques used were observation and tests (pretest and Posttest). Data analysis was performed using the normality test, homogeneity test, and hypothesis testing (t-test). The results of the t-test on the Posttest data show a significance value (Sig. 2-tailed) of 0.000. Since the significance value of 0.000 is smaller than 0.05, it can be concluded that there is a statistically significant difference between the average problem-solving abilitiesof the experimental group and the control group. This indicates that the Realistic Mathematic Education (RME) Learning Model has a significant influence on the improvement of the problem-solving ability of fifth-grade students at SD Negeri 91 Palembang.

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