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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika Jurnal Pendidikan Matematika SoLuSi ( Tersohor Luas dan Berisi ) Journal of the Indonesian Mathematical Society AKSIOMA: Jurnal Program Studi Pendidikan Matematika PAEDAGOGIA JOHME: Journal of Holistic Mathematics Education BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Ilmiah Pendidikan Matematika Al Qalasadi DEDIKASI: Community Service Reports Mosharafa: Jurnal Pendidikan Matematika PENA ABDIMAS : Jurnal Pengabdian Masyarakat
Rubono Setiawan
Department Of Mathematics Education, Universitas Sebelas Maret
Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Nursing Physics Public Health Social Sciences Transportation Other

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A Systematic Literature Review on Algebraic Reasoning in Mathematics Instruction Warifdah, Yumna; Sujadi, Imam; Setiawan, Rubono; Nurhasanah, Farida
Mosharafa: Jurnal Pendidikan Matematika Vol. 13 No. 4 (2024): October
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v13i4.2536

Abstract

Abstrak Penalaran aljabar menjadi topik hangat dalam dua dekade terakhir, tetapi siswa sekolah menengah mengalami kesulitan dalam mempelajari hal ini, sebab mengalami transformasi dari pemikiran aritmatika ke pemikiran aljabar yang abstrak. Penelitian ini menganalisis artikel penalaran aljabar dari basis data Scopus berdasarkan tahun penelitian, metode, dan sebaran geografis dalam satu dekade. Penelitian disajikan melalui tinjauan literatur sistematis dengan menggunakan protokol PRISMA meliputi Preferred Reporting Item for Systematic Reviews and Meta-Analytic. Dari proses seleksi, didapatkan 29 artikel yang memenuhi kriteria inklusi dan lolos tiga tahap penyaringan. Penelitian dengan topik ini cenderung mengalami penurunan, terutama dalam 4 tahun terakhir. Metode yang paling sering digunakan adalah metode penelitian kualitatif karena dianggap peneliti sangat cocok untuk meneliti kemampuan berpikir. Dari 8 wilayah yang melakukan penelitian penalaran aljabar, Indonesia merupakan negara yang paling banyak melakukannya. Hal ini dilatarbelakangi rendahnya penalaran aljabar siswa. Peluang penelitian pada topik ini masih terbuka lebar dengan menggunakan penelitian ini sebagai rujukan. Abstract Algebraic reasoning has become a hot topic in the last two decades, but high school students have difficulty in learning it, because they experience a transformation from arithmetic thinking to abstract algebraic thinking. This study analyzes algebraic reasoning articles from the Scopus database based on the year of research, methods, and geographical distribution in one decade. The research is presented through a systematic literature review using the PRISMA protocol including the Preferred Reporting Item for Systematic Reviews and Meta-Analytic. From the selection process, 29 articles were obtained that met the inclusion criteria and passed three stages of screening. Research on this topic tends to decline, especially in the last 4 years. The most frequently used method is the qualitative research method because researchers consider it very suitable for researching thinking skills. Of the 8 regions that conduct algebraic reasoning research, Indonesia is the country that does it the most. This is due to the low algebraic reasoning of students. Research opportunities on this topic are still wide open by using this research as a reference.
Green Probabilistic Inventory Model with Shortage Backordering, Carbon Emission Cost, and Imperfect Quality Items: A Newton-Raphson Method Approach Using Python Setiawan, Rubono
Journal of the Indonesian Mathematical Society VOLUME 30 NUMBER 1 (MARCH 2024)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.1.1677.77-88

Abstract

In this paper, a green inventory model has been developed to explain the relationship between a single manufacturer and many retailers in a multiplayer supply chain system. It is assumed that there exist some imperfect items in a quantity lot. In green inventory, one of the important issues is carbon emission with its cost to inventory management. Some troubles in the transportation process yield imperfect quality items. This trouble is the potential to increase the amount of carbon emission and some imperfect quality items. It also affects the cost of the inventory. Therefore, these two aspects will be analyzed under the shortage backorder policy. Due to the complexity of the model, the classical optimization methods cannot be used to determine the optimum values exactly. Therefore, formulation optimization is predominantly conducted using a numerical approach for finding partial derivatives and Newton-Raphson's method for finding the optimal solution. These methods are assisted by the Python programming language, operated within the Google Colab environment and Spyder (Python 3.8) using Anaconda environment.
APPLICATION OF COOPERATIVE GAME THEORY: SOLVING THE PROBLEM OF TRAVELING BETWEEN FIVE CITIES IN JAVA Ariyanto, Muhammad Aditya Tri; Setiawan, Rubono
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss1pp0797-0814

Abstract

Intercity travel between Surabaya, Madiun, Surakarta, Semarang, Cirebon, and Jakarta is increasingly facilitated by integrated infrastructure such as toll roads, railways, and airports. Among travelers, forming informal coalitions with others heading in the same direction has become a practical way to reduce individual travel expenses. This study aims to analyze the cost-efficiency of coalition-based intercity travel compared to solo travel, utilizing cooperative game theory to determine fair contribution values among travelers. This study aims to analyze the cost-efficiency of coalition-based intercity travel compared to solo travel, utilizing cooperative game theory to determine fair contribution values among travelers. A case study was conducted in an urban setting involving individuals who travel intercity using various transportation modes. Data were collected through semi-structured interviews. The study applied the Shapley value method within cooperative game theory to model and evaluate each participant’s contribution in a travel coalition. An algorithm was developed to calculate Shapley values for different coalition scenarios. Initial expenditures were: Player A (IDR 210,000), B (IDR 240,000), C (IDR 60,000), D (IDR 400,000), and E (IDR 165,000). First calculation (5-player coalition): A spent IDR 122,750, B IDR 147,750, C IDR 77,750, D IDR -52,250, and E IDR 104,000. Player C opted out, as joining the coalition would cost more than traveling individually (IDR 60,000). Second calculation (4-player coalition): A spent IDR 113,750, B IDR 133,750, D IDR 53,750, and E IDR 98,750. The study’s findings are based on a small sample with specific subject criteria and cannot be generalized to broader intercity travel scenarios. This research demonstrates the practical application of game theory—specifically the Shapley value—in modeling travel coalitions and optimizing cost distribution, offering insights for policy makers and transport planners in collaborative travel schemes.
Analisis Soal Latihan Transformasi Linier Dalam Buku Ajar Aljabar Linier Berdasarkan Teori Prakseologi Sujatmiko, Ponco; Aryuna, Dyah Ratri; Pramudya, Ikrar; Mardiyana, Mardiyana; Setiawan, Rubono
Jurnal Ilmiah Pendidikan Matematika Al Qalasadi Vol 9 No 2 (2025): JURNAL ILMIAH PENDIDIKAN MATEMATIKA AL QALASADI
Publisher : Prodi Pendidikan Matematika, Fakultas Tarbiyah dan Ilmu Keguruan IAIN Langsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32505/qalasadi.v9i2.12872

Abstract

Undergraduate students often struggle to shift froam procedural to conceptual understanding when learning linear transformation. They tend to focus on mechanical procedures while neglecting the underlying concepts. Textbooks play a crucial role in developing conceptual understanding through well-structured and meaningful exercises. Praxeological theory, which maps the relationship among mathematical tasks, techniques, supporting technologies, and underlying theories, provides a comprehensive framework for such analysis. This study aims to analyze linear transformation exercises in Elementary Linear Algebras (11th edition) by Howard Anton and Chris Rorres using a qualitative content analysis based on the praxeological framework. The findings reveal that most exercises have the potential to foster deep conceptual understanding, particularly when learning activities do not stop at the technical stage. Practically, the study offers insights for lecturers and textbook developers in designing exercises that balance procedural demands and conceptual reasoning, thereby enhancing meaningful learning of linear algebra in higher education.
Co-Authors Ario Wiraya Ariyanto, Muhammad Aditya Tri Ayuningrum, Satya Mardi Budi Usodo Budiyastuti, Novita Ening Budiyono, Budiyono Budiyono, Budiyono Chrisnawati, Henny Ekana Dyah Ratri Aryuna Faizah, Farah Farida Nurhasanah Fauziah, Asma' Nurul Fitri Rahmawati Fitriana, Laila Handayani, Hesti Ikrar Pramudya, Ikrar Imam Sujadi Indriyani, Anita Jingga, Annisa Astra Kartika Maharani Dwi Astuti Kristanto, Matias Vico Anggoro Kurniawati, Cici Kuswardi, Yemi Laila Fitriana Landyasari Riffyanti Mahardhikawati, Ema Mardiyana Mardiyana Mardiyana, Mardiyana Mardiyana, Mardiyana Maulia, Dityana Mila Meiliana, Cahyo Henny Mukti, Putri Sari Mulyani, Septiya Nasution, Nur Baiti Pramesti, Getut Pramudya, Ikrar Pratama, Mahendra Dany Rokhim, Andrean Fajar Rosyada, Atina Setiawan, Muhammad Ridwan Setyorini, Intan Ayu Sigarini, Khofifah Aluh Soeyono, Soeyono Sujadi, Imam Sujadi, Imam Sujatmiko, Ponco Sujatmiko, Ponco Syarifah, Triana Jamilatus Triyanto, Triyanto Valentina, Febriyani Warifdah, Yumna Yaumil Sitta Achir