Article Per Year (5 Year)
p-Index From 2021 - 2026
1.633
P-Index
This Author published in this journals
All Journal Paradikma: Jurnal Pendidikan Matematika INSPIRATIF JURNAL PENDIDIKAN MATEMATIKA de Fermat : Jurnal Pendidikan Matematika MARISEKOLA: Jurnal Matematika Riset Edukasi dan Kolaborasi Issues in Mathematics Education (IMED) Cakrawala Venn: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences International Journal of Educational Research Jurnal Cendekia Ilmiah PESHUM Issues in Mathematics Educations (IMED)
Rosauli Novalina Samosir
Universitas Negeri Manado
Arts Humanities Astronomy Chemistry Decision Sciences, Operations Research & Management Education Energy Environmental Science Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

Published : 12 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 12 Documents
Search

 1   2 
Analysis of Vulnerable and Recovered Population Dynamics in the SAHTR Model Based on Variations in the Spread and Rehabilitation Rates Anggriani, Nita; Mangobi, James U.L.; Pratama, Muhammad Isbar; Samosir, Rosauli Novalina; Handayani, Lilis
Venn: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences Vol. 4 No. 3 (2025): Matematika, IPA, dan Pembelajarannya
Publisher : Pusat Studi Bahasa dan Publikasi Ilmiah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53696/venn.v4i3.322

Abstract

Drug abuse continues to be a significant public health issue, especially in developing countries such as Indonesia, with increasing prevalence among the productive age group. This study develops and analyzes a compartmental mathematical model, SAHTR (Susceptible, Addicted-Lighter, Addicted-Heavier, Treatment, Recovery), using a nonlinear system of differential equations to simulate the dynamics of drug abuse spread and recovery. The model integrates an optimal control approach to evaluate the effectiveness of two intervention strategies: anti-drug campaigns and psychological counseling. Numerical simulations were carried out using the Runge-Kutta 4th order method, focusing on the sensitivity analysis of two key parameters: the rate of social transmission (β) and rehabilitation success rate (γ₂). The results show that while the β parameter influences the initial decline of the susceptible population, its long-term impact is relatively minimal. In contrast, the γ₂ parameter significantly affects the dynamics of the recovery compartment, indicating that improving rehabilitation efficiency can substantially reduce system burden and accelerate the return of individuals to a drug-free state. These findings suggest that intervention strategies should prioritize enhancing the quality and accessibility of rehabilitation programs, including structured therapy and post-recovery support. Moreover, social influence control alone is insufficient without being complemented by preventive and community-based approaches. Overall, this study contributes to evidence-based policymaking by demonstrating the value of mathematical modeling in understanding and combating drug abuse effectively.
Komparasi Pemahaman Konsep Persamaan Kuadrat antara Problem-Based Learning dan Pembelajaran Langsung Jeilan Cicilia Tumei; Ichdar Domu; Rosauli Novalina Samosir
PESHUM : Jurnal Pendidikan, Sosial dan Humaniora Vol. 5 No. 4: Juni 2026
Publisher : CV. Ulil Albab Corp

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56799/peshum.v5i4.18301

Abstract

This study aims to determine the difference in students' conceptual understanding of quadratic equations between those taught with the Problem-Based Learning (PBL) model and those taught with direct instruction. It was motivated by students' low conceptual understanding in mathematics, largely caused by the dominance of teacher-centered learning. A quantitative approach was employed using a quasi-experimental method with a pretest-posttest control group design. The sample comprised two grade IX classes selected through cluster sampling, namely one experimental and one control class, each consisting of 30 students. Data were collected through an essay-type conceptual understanding test validated by experts. Normality (Shapiro-Wilk) and homogeneity (Levene) tests were run using SPSS, while the hypothesis was tested with an Independent Samples T-Test at a 0.05 significance level. The results showed a t-value of 4.838, greater than the t-table value of 1.671, so H0 was rejected and H1 accepted. The experimental class mean post-test score (74.17) exceeded that of the control class (69.93). Thus, students taught with PBL achieved better conceptual understanding of quadratic equations, suggesting PBL is an effective alternative for mathematics learning.
Co-Authors Aisyiah Restutiningsih Putri Utami Anggriani, Nita Ermita Ermita Ermita Ermita Ermita Humuntal Banjarnahor Ichdar Domu Jeilan Cicilia Tumei Lauale, Arthur Zefanya Lilis Handayani Miftahul Jannah Muhammad Isbar Pratama Navel Oktaviandy Mangelep Nelwan, Andriani Waraney Pargaulan Siagian Philotheus E. A. Tuerah Vivian E. Regar