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All Journal International Journal of Evaluation and Research in Education (IJERE) DIDAKTIKA: Jurnal Pendidikan Sekolah Dasar Paradikma: Jurnal Pendidikan Matematika Kreano, Jurnal Matematika Kreatif-Inovatif JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA AKSIOMA: Jurnal Program Studi Pendidikan Matematika Jurnal Perkotaan PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika JIPMat (Jurnal Ilmiah Pendidikan Matematika) JURNAL PENDIDIKAN GLASSER Pendas : Jurnah Ilmiah Pendidikan Dasar JTAM (Jurnal Teori dan Aplikasi Matematika) IRJE (Indonesian Research Journal in Education) Primary : Jurnal Keilmuan dan Kependidikan Dasar AXIOM : Jurnal Pendidikan dan Matematika Teorema: Teori dan Riset Matematika JURNAL MATHEMATIC PAEDAGOGIC JUPE : Jurnal Pendidikan Mandala Jurnal Dedikasi Pendidikan AMALIAH: JURNAL PENGABDIAN KEPADA MASYARAKAT ANARGYA: Jurnal Ilmiah Pendidikan Matematika Delta: Jurnal Ilmiah Pendidikan Matematika Transformasi : Jurnal Pendidikan Matematika dan Matematika Integral : Pendidikan Matematika Jurnal LENTERA: Jurnal Studi Pendidikan JPMI (Jurnal Pembelajaran Matematika Inovatif) (JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING Jurnal Eduscience (JES) MUKADIMAH: Jurnal Pendidikan, Sejarah, dan Ilmu-ilmu Sosial Didaktik : Jurnal Ilmiah PGSD STKIP Subang Jurnal Pendidikan dan Pembelajaran Terpadu Ability : Journal of Education and Social Analysis Mosharafa: Jurnal Pendidikan Matematika Plusminus: Jurnal Pendidikan Matematika Continuous Education : Journal of Science and Research JagoMIPA: Jurnal Pendidikan Matematika dan IPA Elementar : Jurnal Pendidikan Dasar Edumatika Jurnal MathEducation Nusantara PEMA: Jurnal Pendidikan dan Pengabdian Kepada Masyarakat Jurnal Pembelajaran, Bimbingan, dan Pengelolaan Pendidikan Mudabbir: Journal Research and Education Studies Pedagogik : Jurnal Pendidikan Guru Sekolah Dasar Jurnal Ilmiah Ilmu Terapan Universitas Jambi International Journal of Educational Research Excellence (IJERE) PERISAI: Pendidikan dan Riset Ilmu Sains Madani: Jurnal Pengabdian Masyarakat dan Kewirausahaan Kelola: Jurnal Manajemen Pendidikan Jurnal Riset Rumpun Ilmu Pendidikan (JURRIPEN) Jurnal Pendidikan MIPA Journal of Golden Generation Education Media Pendidikan Matematika Edumaspul: Jurnal Pendidikan Jurnal Pengabdian kepada Masyarakat
Abdul Mujib
Universitas Muslim Nusantara Al-Washliyah
Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Education Engineering Environmental Science Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Mathematics Physics Social Sciences Other

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CHARACTERISTICS OF SHACKLE GRAPH: Shack(Kn,v(j,i),t), Shack(Sn,v(j,i),t), & Shack(K(n,n),v(rj,i),t) Firmansyah Firmansyah; Abdul Mujib
AXIOM : Jurnal Pendidikan dan Matematika Vol 10, No 2 (2021)
Publisher : State Islamic University of North Sumatra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30821/axiom.v10i2.9252

Abstract

Abstrak:Operasi schackle adalah operasi antara dua atau lebih graf yang menghasilkan graf baru. Graf shackle dinotasikan adalah graf yang dihasilkan dari t salinan dari graf yang diberi simbol dengan dimana dan t bilangan asli. Operasi shackle ppada penelitian ini adalah shackle titik. Operasi shackle titik dinotasikan dengan artinya graf yang dibangun dari sembarang graf sebanyak salinan dan titik sebagai . Kelas graf yang akan di eksporasi karakterisinya dan bilangan kromatinya adalah , S , & S . Hasil penelitiannya menunjukkan bahwa bilangan kromatik graf shackle sama dengan subgraf pembangunnya. Kata Kunci:Operasi Shackle, Shackle titik, graf shackle, bilangan kromatik. Abstract:A shackle operation is an operation between two or more graphs that results in a new graph. Shackle graph notated is a product graph from copy of graph is denoted by where and are natural numbers. The shackle operation in this research is vertex shackle. Vertex shackle operation is denoted by which means that the graph is constructed from any graph as many as copies and vertex as linkage vertex. The class of graphs examined in this study are , S , & S . The results show that the chromatic number of the shackle graph is the same as the subgraph that generates it. Keywords:Shackle Operation, Vertex Shackle, Shackle Graph, Chromatic Numbers.
Bilangan Kromatik-Total Hasil Operasi SHACKLE pada Graf Lintasan Surya Darma; Abdul Mujib
Teorema: Teori dan Riset Matematika Vol 11, No 1 (2026): Maret
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/teorema.v11i1.19050

Abstract

Pewarnaan total graf merupakan salah satu topik penting dalam teori graf yang berfokus pada penentuan jumlah warna minimum untuk mewarnai titik dan sisi sehingga elemen yang saling bertetangga atau berinsiden memiliki warna berbeda, namun kajian pada graf hasil operasi shackle masih relatif terbatas. Penelitian ini bertujuan untuk menentukan bilangan kromatik dan bilangan kromatik-total pada graf hasil operasi shackle dari graf lintasan yang dinotasikan dengan . Penelitian ini menggunakan pendekatan deduktif melalui pemanfaatan teorema yang telah ada serta analisis pola melalui konstruksi kasus-kasus khusus untuk memperoleh bentuk umum. Hasil penelitian menunjukkan bahwa bilangan kromatik graf tersebut adalah , sedangkan bilangan kromatik-totalnya adalah . Hasil ini diperoleh melalui konstruksi pewarnaan total yang valid serta pembuktian minimalitas jumlah warna yang digunakan. Temuan ini memberikan kontribusi teoretis dalam pengembangan kajian pewarnaan total graf hasil operasi, khususnya operasi shackle, serta memperluas pemahaman mengenai karakteristik bilangan kromatik-total pada kelas graf lintasan.
Uncovering Learning Obstacles in Elementary Students Fraction Understanding: A Multi-Dimensional Analysis for Didactical Design Tiara Syahvira; Abdul Mujib; Jamiu Temitope Sulaimon
DIDAKTIKA: Jurnal Pendidikan Sekolah Dasar Vol. 9 No. 1 (2026): VOLUME 9, NUMBER 1, 2026
Publisher : Program Studi PGSD, Fakultas Ilmu Pendidikan, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/didaktika.v9i1.99369

Abstract

Learning fractions in elementary school remains difficult for students because the concept is abstract and requires strong conceptual understanding. Although prior studies have examined epistemological, didactical, or ontogenic learning obstacles separately, few have triangulated multiple data sources to capture how these three dimensions interact, particularly within a Didactical Design Research (DDR) framework at the lower-grade elementary level, this gap in integrated, multi-source analysis is what the present study addresses. This study identifies and analyzes the three types of learning obstacle experienced by third-grade students in learning fractions at UPT SDN 060817 Medan and examines how these obstacles interact as a basis for designing DDR-based instruction. A qualitative descriptive approach was used with 15 third-grade students and one classroom teacher as subjects. Data was collected through a mathematical concept-understanding test, classroom observation, semi-structured interviews, and instructional-artifact analysis, then triangulated. Results show that only 33.33% of students reached mastery, with a class average of 53.2. Fifteen learning obstacles were identified: five epistemological, five didactical, and five ontogenic, and these interact with one another rather than occurring independently. Identifying these three obstacle categories carries direct practical significance for guiding teachers in designing more contextual, concrete-media- and technology-supported fraction instruction. The findings provide an empirical foundation for a Hypothetical Learning Trajectory (HLT) integrating concrete media, PhET Simulation, Problem-Based Learning, and local Medan contextualization.
Penguatan Literasi Digital Anak Pasca Banjir Melalui Workshop Media Ajar Digital Interaktif Berbasis STEAM di Lembaga Bimbingan Belajar Sang Juara Rita Destini; Lia Afriyanti Nasution; Abdul Mujib; Halimah Berlianti; Sofiyanti
Karya Unggul: Jurnal Pengabdian Kepada Masyarakat Vol. 5 No. 1 (2025): Edisi Desember
Publisher : Karya Unggul: Jurnal Pengabdian Kepada Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Kegiatan pengabdian kepada masyarakat ini bertujuan untuk mendukung pemulihan literasi digital anak-anak terdampak banjir melalui pelaksanaan workshop media ajar digital interaktif berbasis Science, Technology, Engineering, Arts, and Mathematics. Kegiatan dilaksanakan di Lembaga Bimbingan Belajar SANG JUARA sebagai ruang belajar alternatif bagi anak-anak usia sekolah dasar yang mengalami keterbatasan akses pembelajaran pascabencana. Metode pelaksanaan kegiatan meliputi tahap perencanaan, pelaksanaan workshop, pendampingan, dan evaluasi. Workshop difokuskan pada pengenalan penggunaan media digital edukatif serta penerapan konsep sains sederhana melalui aktivitas interaktif dan kreatif. Hasil kegiatan menunjukkan bahwa peserta mengalami peningkatan kemampuan dalam menggunakan perangkat digital secara positif dan edukatif, meningkatnya pemahaman konsep pembelajaran, serta bertambahnya motivasi dan keterlibatan aktif dalam proses belajar. Media ajar digital interaktif yang digunakan mampu menciptakan suasana pembelajaran yang menyenangkan dan kontekstual. Kegiatan ini berkontribusi positif dalam mendukung pemulihan literasi digital anak pascabencana serta berpotensi menjadi model pengabdian masyarakat di wilayah terdampak bencana lainnya.
PENERAPAN MODEL PEMBELAJARAN MATEMATIKA REALISTIK BERBASIS AUGMENTED REALITY UNTUK MENINGKATKAN PEMAHAMAN KONSEP PEMBAGIAN SISWA DI KELAS III SDN 104250 Siti Nurhalizah; Abdul Mujib
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 11 No. 03 (2026): Volume 11 Nomor 03, September 2026 Verified
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v11i03.39596

Abstract

This study aims to improve the understanding of division concepts among third-grade students at SDN 104250 through the implementation of a Realistic Mathematics Learning (RML) model based on Augmented Reality (AR). The background of this research is the low level of students’ conceptual understanding of division, which is caused by conventional teaching methods, lack of contextual learning, and limited use of interactive learning media. This research employed Classroom Action Research (CAR) using the Kemmis and McTaggart model, consisting of planning, action, observation, and reflection stages. The research subjects were third-grade students of SDN 104250. Data were collected through tests, observations, and documentation. The success indicators were measured by the improvement of students’ understanding of division concepts. The results showed that the implementation of the Augmented Reality-based Realistic Mathematics Learning model significantly improved students’ understanding of division concepts. Students became more active, motivated, and better able to comprehend division concepts through concrete visualizations presented using AR technology and contextual problems related to everyday life. Therefore, it can be concluded that the AR-based Realistic Mathematics Learning model is effective in improving students’ understanding of division concepts in elementary
Co-Authors Abdi Rianto Abdullah Hasibuan Abdullah Hasibuan Ahmad Nizar Rangkuti Aidil Abdirillah Ainur Sakinah Akhyaruddin, Akhyaruddin Alfitriana Purba Ali, Sahri Ambar Dwi Lestari Amin Fauzi, Amin Andria Siska Anisa Nurfadila Anjarani Sipayung, Sekar Ayu Annisa Fitri, Annisa Annisa Safriani Apriani Martha Priska Aprilia, Jelita Arrini Shabrina Anshor Artika Pratiwi Atiqoh Hanum Azhari Dewita Aznisya Ajeng Putri Aznisya Ajeng Putri Bayu Gunarto Cori Al-Husna Dalimawaty Kadir Dara Fitrah Dwi Dedy Juliandri Panjaitan Desi Wahyuni Desniarti Desniarti dewi Azriani Dewi Padmo, Dewi Dewi, Fitria Puspa Dewita, Azhari Dian Mita, Dian Mita Pratiwi Didi Suryadi Dinda Humairoh Dinda Putri Azura Dinda Yarshal Dinda Yarshal, Dinda Dira Salsabila Bilbina Dira Salsabila Bilbina Dita Iqlima Mardiah EDI SYAHPUTRA Eka Sulistiana Elvira Riska Harahap Endang Sulastri Endang Wahyuningrum Eriando Rizky Erni Suryani Faisal Hamzah Fida Andriyani Firmansyah Firmansyah Firmansyah Firmansyah Firmansyah Firmansyah Firmansyah Fitrah Dwi, Dara Fitria Puspa Dewi Fitriana Tarigan, Wulan Geo Wahyuni Geo Wahyuni Hailda Syaputri Minja Halimah Berlianti Halimul Maduwu Hasratuddin Hasratuddin Hasratuddin Siregar Hasratuddin Siregar Hasratuddin Siregar Hery Herwanto Hotni Leli Pramita Husna, Tiflatul Ida Karnasih Ida Karnasih Ida Karnasih Ika Listi Faizun Tanjung Ikhwana, Disty Khairani Indah Sekar Wangi Irawati Irawati Irwanto Irwanto Isnan Nisa Nasution Istia, Mimi Jamiu Temitope Sulaimon Jihan Yetama Dewi, Safrida Napitupulu Kasmida Kasmida Khairunnisyah Pulungan Khaissuledi Qawiy Khoirunnisyah Laras Prastika Dewi Harahap Leo Waldi Barus Lestari, Yulia Lia Afriyanti Lia Afriyanti Lia Afriyanti Nasution Lindasari Putri Lisa Astriani Lisa Astriani Lubis, Aulia Chairani Madyunus Salayan, Madyunus MARIA BINTANG Marta Rohana Tampubolon Mathelinea, Devi Mauritia Shalsa, Adelia Maymuna Harahap Meilia br Hutapea, Chika Merry Noviyanti Muhammad Farhan Muhammad Sopingi Nanda Mihendra Nasution, Amanda Syahri Nazriani Lubis Nazriani Lubis Nikmah Sari Nila Lestari Nita Kusuma Novarinda Eriza Putri Nur Ailan Siregar Nuraini Lubis Nurul Anggraini Nurul Azmi Saragih Nuzirwan Paini Paini Perihandi Andi Purba, Dewi Febriana Putri Hajarusy Syar'i Putri Hajarusy Syar'i Putri Handayani Pulungan Putri Julianti Putri, Yunita Anggraini Rafiki Ikhsan Rahmawati Rahmawati Rasudi Rasudi Refy Ristika Refy Ristika Reka Anjani Reni Aisawa Riduan Yusuf Risnawaty Rita Destini Robiyatul Adawiyah Harahap Rohani D Sihotang Rosmawati Harahap Ryan Dhani, M Fikri Safrida Napitupulu Safrida Napitupulu Safrida Napitupuluh Salsabila, Faradiza Santika, Winda Sardjijo Sardjijo Sari Rezky Nasution Sari, Dwi Novita Sari, Dwi Utami Sari, Suci Indah Sendi Ramdhani Siagian, Siti Shara Silalahi, Beta Rapita Silvi Puspita Dewi Sinta Sirait, Abadihon Fazli Siregar, Rama Nida Siregar, Suri Ummi Siska Erika Dewi Siti Fadilah Siti Fadilah Siti Hajar Siti Maysyaroh Domo Siti Nurhalizah Siti Sarah Sinaga Siti Shara Siagian Sofia Indriani Lubis Sofiyanti Sri Karmila Dewi Suci Atika Sari Suciati Suciati Sufyani Prabawanto, Sufyani Suherdi Suherdi Sukmawarti Sulistiana, Eka suparni Surya Darma Sutarini Sutarini, Sutarini Sutikno Sutikno Suwarno Ariswoyo Syaiful Huda Tanti Anggraini Tia Rahmadani Harahap Tiara Syahvira Usman, Andriyani Wahyudi, Chandra Wahyuni, Selvia Wati, Sartika Widya Prasetyanti Winda Sari Br Panjaitan Wini Astria Salam Yenni Sriwahyuni Yetno Saputra Yusuf, Riduan Zahari, Cut Latifah Zuliadi Rizki Andika Harefa