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Strategi pengendalian penyebaran penyakit kolera dengan vaksinasi, edukasi, dan karantina: analisis model dan simulasi Agusyarif Rezka Nuha; La Ode Nashar; Andi Agung; Bertu Rianto Takaendengan; Widyastutifajri Nuha
Mandalika Mathematics and Educations Journal Vol 7 No 4 (2025): Desember
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i4.10479

Abstract

Cholera is an infectious disease transmitted through water contaminated with Vibrio cholerae bacteria. This disease remains a public health challenge, especially in areas with poor sanitation. This study developed an SVIQR-B mathematical model to analyze the dynamics of cholera spread, taking into account the effects of quarantine, vaccination, and environmental hygiene education. The analysis was conducted on disease-free and endemic equilibrium points using a local stability approach based on the basic reproduction number (R0). The results showed that when R0 < 1 , the disease would disappear from the population, while R0 > 1 indicated the potential for endemicity. Sensitivity analysis and numerical simulation results indicate that an increase in the transmission rate and a decrease in vaccine effectiveness cause an increase in the value, while an increase in vaccination coverage and the effectiveness of education contribute to a decrease in infection rates. These findings emphasize the importance of implementing integrated medical and educational interventions in efforts to control cholera in a sustainable manner.
Meningkatkan Hasil Belajar Matematika Siswa Melalui Model Kooperatif Tipe NHT Berbantuan Media Berbasis Augmented Reality Pada Materi Kubus dan Balok Indagita Cahyani Sero Sero; Nursiya Bito; Bertu Rianto Takaendengan
Jambura Journal of Mathematics Education Vol 7, No 1: Maret 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jmathedu.v7i1.37047

Abstract

This study aims to improve students' mathematics learning outcomes in the topic of flat-sided solid shapes, specifically cubes and cuboids, through the application of the Numbered Heads Together (NHT) cooperative learning model combined with Augmented Reality (AR)-based learning media. The study used Action Research (CAR) based on the Kemmis and Mc. Taggart model, implemented in two cycles. Observations showed significant improvements in various aspects of learning. Teacher and student activities, initially in the Fair (CB) category, improved to Good (B) and Very Good (SB) categories. In the affective and psychomotor domains, the attitude and skills assessment results showed improvements from Fair (CB) to Good (B) and Very Good (SB). Meanwhile, cognitive learning outcomes obtained through written tests increased from 69.23% to 84.62%, indicating that most students had met the learning objectives. Thus, all assessment aspects had achieved success indicators in cycle II through the implementation of the Numbered Heads Together (NHT) cooperative learning model assisted by Augmented Reality-based learning media.