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All Journal Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Pengabdian Inovasi Masyarakat Indonesia Sinergi dan Harmoni Masyarakat MIPA
Pratama, Rendi Bahtiar
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Agriculture, Biological Sciences & Forestry Humanities Chemistry Decision Sciences, Operations Research & Management Education Social Sciences Other

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SOMBOR INDEX AND ITS GENERALIZATION OF POWER GRAPH OF SOME GROUP WITH PRIME POWER ORDER Pratama, Rendi Bahtiar; Maulana, Fariz; Hijriati, Na'imah; Wardhana, I Gede Adhitya Wisnu
Journal of Fundamental Mathematics and Applications (JFMA) Vol 7, No 2 (2024)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v7i2.22552

Abstract

Graphs are an intriguing topic of discussion due to their numerous applications, particularly in chemistry. Topological indices derived from graph representations of molecules enable us to predict various properties of these compounds, including their physical characteristics, chemical reactivity, biological activity, toxicity, and atom-to-atom interactions. More recently, graphs have also been utilized to depict abstract mathematical objects such as groups. A notable example of graph representation in group theory is seen in power graphs. This research explores new graph topological indices based on vertex degrees, inspired by the Euclidean metric, particularly the Sombor index, and its application to the power graph of the integer modulo group and the dihedral group. The primary outcome of this study is the derivation of a general formula for the Sombor index and its generalization.
Pengenalan Algoritma Dengan Menggunakan Permainan Squaring the Square di SMA 1 Batukliang Utara Lombok Tengah Siboro, Ayes Malona; Wahidah, Fathul Maulina; Putra, Lalu Riski Wirendra; Lestari, Sahin Two; Putri, Syaftirridho; Pratama, Rendi Bahtiar; Haryati, Ida; Wardhana, I Gede Adhitya Wisnu
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 3 No. 2 (2024): Edisi Agustus
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v3i2.5326

Abstract

This study aims to evaluate the application of the Squaring Square method in improving the understanding of algorithms, geometry and changes in students' attitudes towards mathematics at SMA Negeri 1 Batukliang Utara, Central Lombok. This method involves practical activities in which students compose several small squares into one large square shape, designed to hone spatial skills and problem-solving abilities. Data analysis from the pre-test and post-test showed that applying this method significantly improved students' understanding of geometry concepts and their attitudes towards mathematics lessons. These findings align with constructivist theory, which emphasises the importance of experiential learning and visualization in improving deep conceptual understanding and offers valuable insights for teaching mathematics in schools.
Implementasi Modul Olimpiade SMP Di SMPN 2 Kuripan Lombok Barat Putra, Lalu Riski Wirendra; Pratama, Rendi Bahtiar; Karang, Gusti Yogananda; Irwansyah, Irwansyah; Wardhana, I Gede Adhitya Wisnu; Romdhini, Mamika Ujianita; Abdurahim, Abdurahim; Maulana, Fariz; Satriyantara, Rio; Awanis, Zata Yumni; Putri, Syaftirridho; Graha, Syifa Salsabila Satya; Wahidah, Fathul Maulina; Pratiwi, Lia Fitta; Pradana, Satriawan; Siboro, Ayes Malona; Farwan, Farwan
Sinergi dan Harmoni Masyarakat MIPA Vol. 1 No. 1 (2024): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v1i1.5517

Abstract

Kegiatan pengabdian kepada masyarakat ini bertujuan untuk mengimpelementasikan modul pembelajaran olimpiade matematika bagi siswa SMPN 2 Kuripan. Kebutuhan akan modul ini didasarkan pada rendahnya akses siswa terhadap materi-materi persiapan olimpiade yang terstruktur dan sesuai dengan kemampuan serta kebutuhan mereka. Metode yang digunakan dalam pengembangan modul ini meliputi analisis kebutuhan, desain dan pengembangan modul, serta uji coba. Modul ini dirancang untuk mencakup berbagai topik matematika yang sering muncul dalam olimpiade, disertai dengan contoh soal dan pembahasan yang mendalam. Hasil dari kegiatan ini menunjukkan bahwa penggunaan modul olimpiade matematika ini dapat meningkatkan pemahaman siswa terhadap materi olimpiade, serta memotivasi mereka untuk lebih aktif dalam mengikuti kompetisi. Evaluasi melalui uji coba menunjukkan respon positif dari siswa, dengan peningkatan signifikan pada hasil latihan soal.
Co-Authors Abdurahim, Abdurahim Farwan, Farwan Graha, Syifa Salsabila Satya Haryati, Ida Hijriati, Naimah I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Karang, Gusti Yogananda Lestari, Sahin Two Mamika Ujianita Romdhini, Mamika Ujianita Maulana, Fariz Pradana, Satriawan Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Rio Satriyantara Siboro, Ayes Malona Wahidah, Fathul Maulina Zata Yumni Awanis