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All Journal Natural: Jurnal Pelaksanaan Pengabdian Bergerak Bersama Masyarakat Limits: Journal of Mathematics and Its Applications
Ratna Herdiana
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Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Economics, Econometrics & Finance Engineering Health Professions Law, Crime, Criminology & Criminal Justice Mathematics

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Peningkatan Kreativitas Siswa pada Pembelajaran Teselasi Bangun Datar Melalui Media Keramik Widowati Widowati; Kartono Kartono; Suryoto Suryoto; Y.D. Sumanto; Ratna Herdiana; Eka Triyana; Slamet Aji Pamungkas
Natural: Jurnal Pelaksanaan Pengabdian Bergerak bersama Masyarakat. Vol. 3 No. 3 (2025): August : Natural: Jurnal Pelaksanaan Pengabdian Bergerak bersama Masyarakat
Publisher : Asosiasi Riset Ilmu Kesehatan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61132/natural.v3i3.1676

Abstract

Mathematics learning, particularly in geometry, is often perceived as abstract and less engaging by students, leading to reduced interest and creativity. One of the geometry topics that demands a more creative and concrete approach is the tessellation of flat shapes, which emphasizes the understanding of patterns, symmetry, and regularity of shapes. The absence of contextual learning media has contributed to students’ low enthusiasm and limited ability to apply concepts in real-life contexts. This community service activity was designed to address these challenges by enhancing students’ creativity and conceptual understanding through the use of ceramic media as an innovative and enjoyable learning tool. The program was conducted at SD Negeri 1 Rowosari, Tembalang District, Semarang City, involving mathematics teachers, elementary school students, and university students. The implementation method included training and mentoring sessions. Activities encompassed the introduction of tessellation concepts, hands-on demonstrations, and the guided creation of tessellation patterns using ceramic media. Participants consisted of teachers and students who actively engaged in both theoretical and practical sessions. Evaluation was conducted through pre-test and post-test questionnaires administered before and after the training. The results revealed a significant improvement in students’ average scores after the activity. Pre-test data showed that approximately half of the students scored above the average, with two students achieving nearly perfect scores. Post-test results indicated that most students demonstrated increased understanding and creativity in applying tessellation concepts. Nevertheless, a small number of students still required further guidance, particularly in translating abstract tessellation concepts into real-life applications. Overall, the findings suggest that integrating ceramic media into mathematics learning is effective in making abstract geometry concepts more tangible, stimulating students’ creativity, and improving learning outcomes, especially in the topic of tessellation of flat shapes.
Kontrol Optimal Model Dinamik Penyebaran Penyakit Tuberkulosis dengan Kekambuhan di Kota Semarang Lathifatul Inayah Alhusna, Lathifatul Inayah Alhusna; Ratna Herdiana
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 3 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 3 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v22i3.4349

Abstract

Dalam penelitian ini, kami mengusulkan model dinamik SVIR (Susceptible, Vaccinated, Infectious, Recovered) dengan mempertimbangkan kekambuhan pada penyebaran penyakit Tuberkulosis (TB). Dalam model yang diusulkan ini, kami menggabungkan teori kontrol optimal yang bertujuan untuk mengurangi jumlah penyebaran kasus TB. Terdapat dua variabel kontrol yang digunakan, yaitu edukasi pencegahan TB kepada masyarakat umum, dan pengobatan untuk individu yang terinfeksi aktif. Dalam hal ini, untuk mencari solusi pengendalian yang optimal kami menggunakan Prinsip Minimum Pontryagin. Simulasi numerik dalam menyelesaikan sistem pada masalah kontrol optimal ini menggunakan metode numerik Sweep Maju-Mundur dan metode Runge-Kutta orde keempat. Hasil dari simulasi numerik digunakan untuk menggambarkan perbedaan antara strategi menggunakan kontrol dengan tanpa menggunakan kontrol. Dari hasil simulasi numerik, kami menemukan bahwa jika pengendalian edukasi pencegahan TB dan pengobatan diterapkan secara bersamaan akan lebih efektif dibandingkan dengan menerapkan kontrol secara terpisah, karena subpopulasi yang terinfeksi dapat dikendalikan dengan lebih baik di mana penurunan jumlah kasus mencapai 99.90% dan bertambahnya subpopulasi yang sembuh.
Co-Authors Eka Triyana Kartono , Lathifatul Inayah Alhusna, Lathifatul Inayah Alhusna Slamet Aji Pamungkas Suryoto Suryoto widowati widowati Y.D. Sumanto