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All Journal Semeton Mathematics Journal Sinergi dan Harmoni Masyarakat MIPA
Musyarrofah, Sefti Fajriatul
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Humanities Education Mathematics Social Sciences

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Analisis Submodul dan Sifat Keprimaan dalam Ruang Modul Musyarrofah, Sefti Fajriatul; Karang, I Gusti Yogananda; Hisan, Khairatun; Luzianawati, Luzianawati
Semeton Mathematics Journal Vol 2 No 1 (2025): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v2i1.262

Abstract

This study analyzes prime submodules and primality properties in module spaces, fundamental topics in abstract algebra. The primary objective is to determine conditions for prime submodule formation in commutative rings and to examine their relationship with nearly prime submodules. The approach employed involves the decomposition of modules in principal ideal domains, with particular attention given to the concepts of annihilators, submodule orders, and the characteristics of torsion-free quotient modules. The findings indicate that nearly prime submodules can only be regarded as prime submodules in free modules. Furthermore, the module decomposition approach proves effective for gaining a comprehensive understanding of module structures. The concepts of annihilators and submodule orders provide profound insights into the relationships between module elements and ring elements. This study offers significant theoretical contributions to abstract algebra and establishes a foundation for further developments, particularly in applications related to number theory and cryptography.
Pengenalan Algoritma Dengan Menggunakan Aplikasi Scratch Jr Di SMAN 1 Pemenang Lombok Utara Abdullah, Umar; Syawaludin, Muhammad Khair; Hisan, Khairatun; Indrawadi, Dimas; Rohiana, Siti Indah; Ma'wa, Jannatul; Qudrani, Rabbelia; Musyarrofah, Sefti Fajriatul; Apriliana, Haeva; Wardhana, I Gede Adhitya Wisnu; Maulana, Fariz
Sinergi dan Harmoni Masyarakat MIPA Vol. 2 No. 1 (2025): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v2i1.7808

Abstract

This community service program aimed to introduce fundamental algorithmic concepts to high school students using a visual, interactive approach through the Scratch Jr application. The activity took place at SMAN 1 Pemenang, North Lombok, as part of the MBKM program by mathematics students of Universitas Mataram. This initiative responded to the growing need for computational thinking and logical reasoning as key skills in 21st-century education. The program involved a series of stages: preparatory meetings, delivery of instructional materials, and hands-on practice. A pre-test and post-test were administered to measure students’ understanding before and after the activity. Statistical analysis using a paired sample t-test in SPSS revealed a significant improvement in students' scores (mean pre-test: 5.81; post-test: 9.06; p < 0.001), demonstrating the effectiveness of the Scratch Jr-based learning method. These findings emphasize the potential of visual programming tools to enhance students’ logical reasoning and computational literacy. The success of this activity also suggests the importance of integrating digital technology in classroom instruction and the value of teacher training in using such tools.
Co-Authors Abdullah, Umar Apriliana, Haeva Hisan, Khairatun I Gede Adhitya Wisnu Wardhana Indrawadi, Dimas Karang, I Gusti Yogananda Luzianawati, Luzianawati Ma'wa, Jannatul Maulana, Fariz Qudrani, Rabbelia Rohiana, Siti Indah Syawaludin, Muhammad Khair