Anggriani, Nita
Universitas Negeri Manado

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Optimal Control of Mathematical Models on The Dynamics Spread of Drug Abuse Nita Anggriani; Syamsuddin Toaha; Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 17 No. 3 (2021): May, 2021
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v17i3.12467

Abstract

This article examines the optimal control of a mathematical model of the spread of drug abuse. This model consists of five population classes, namely susceptible to using drugs (S), light-grade drugs (A), heavy-grade drugs (H), medicated drugs (T), and Recovery from drugs (R). The system is solved using the Pontryagin minimum principle and numerically by the forward-backward sweep method. Numerical simulations of the optimal problem show that with the implementation of anti-drug campaigns and strengthening of self-psychology through counseling, the spread of drug abuse can be eradicated more quickly. The implementation of campaigns and strengthening of self-psychology through large amounts of counseling needs to be done from the beginning then the proportion can be reduced until a certain time does not need to be given anymore. The use of control in the form of strengthening efforts to self-psychology through counseling means that it needs to be done in a longer time to prevent the spread of drug abuse.
Analisis Dampak Program Pertukaran Mahasiswa Merdeka Terhadap Hasil Belajar Mahasiswa Jurusan Matematika Universitas Negeri Manado Yepta Juan Fiali Launde; John Robby Wenas; Nita Anggriani
Journal on Education Vol 7 No 1 (2024): Journal on Education: Volume 7 Nomor 1 Tahun 2024
Publisher : Departement of Mathematics Education

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/joe.v7i1.6517

Abstract

Mathematics is an important basic science, because logical thinking, analytical and problem-solving skills are needed in various fields such as business, technology, health and the environment. Strong mathematics students are expected to be able to adapt, innovate, and contribute to solving global problems, so that their learning outcomes are important in preparing them to face global challenges in the future. In the current era, the government product curriculum is known as the Merdeka Curriculum, or Independent Learning Independent Campus (MBKM), one of the programs of which consists of the PMM program. The aim of this research is to analyze the positive impact of the PMM program which is so important on mathematics learning outcomes which can provide insight into how well this program prepares students to face global challenges in the future. The research method used is a qualitative research method with a case study research design. The results obtained from this research are that the impact of the PMM program on the learning outcomes of students majoring in mathematics at Unima is categorized into the good category with an overall percentage score of 85.7%.
Kontrol Optimal terhadap Dinamika Penyebaran Penyalahgunaan Narkoba Tingkat Berat pada Model Matematika SAHTR Anggriani, Nita; Handayani, Lilis; Angmalisang, Helen Y.
MARISEKOLA: Jurnal Matematika Riset Edukasi dan Kolaborasi Vol. 4 No. 2: Oktober 2023
Publisher : Jurusan Matematika FMIPA Universitas Negeri Manado

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Penyebaran penyalahgunaan narkoba di Indonesia yang setiap tahunnya semakin meningkat sebesar 24%-28%, terutama dikalangan remaja dimana pada tahun 2018 diperkirakan terdapat 2,29 juta orang berusia 15-35 tahun yang terlibat dalam penyalahgunaan narkoba tersebut. Artikel ini membahas tentang analisis kontrol optimal model matematika penyebaran penyalahgunaan narkoba dengan lima kelas populasi dari pengembangan model yaitu kelas populasi yang rentan menyalahgunakan narkoba atau Susceptible (S), tingkat penyalahgunaan narkoba ringan (A), penyalahgunaan tingkat berat (H), penyalahgunaan melakukan pengobatan (T), dan penyalahgunaaan mengalami pemulihan (R). Tujuan penelitian ini untuk mengembangkan model penyebaran penyalahgunaan narkoba dengan menggunakan penerapan kampanye dan penguatan terhadap pisikologi diri atau konseling setelah individu tersebut melakukan proses penyembuhan. Sistem digunakan pada penelitian ini yaitu prisip minimum Pontryagin kemudian diselesaikan secara numerik menggunakan metode Forward-Backward Sweep dengan menggunakan software matlab. Akumulasi pengguna narkoba tingkat berat dengan menggunakan metode jumlahan Riemann dengan membandingkan penyalahgunaan narkoba tingkat berat dengan kontrol optimal dan tanpa kontrol. Penggunaan penerapan kampanye dan penguatan terhadap pisikologi diri atau konseling pada model matematika penyebaran penyalahgunaan narkoba berhasil menurunkan sebanyak 37,87% jumlah individu terhadap penyalahgunaan narkoba tingkat berat. Hasil simulasi yang diperoleh penerapan kampanye dan penguatan terhadap pisikologi diri atau konseling maka penyebaran penyalahgunaan narkoba lebih cepat diberantas ketika sejak awal diberikan jumlah besar. Penerapan kampanye dan penguatan konseling diri pada dinamika penyebaran penyalahgunaan narkoba perlu diberikan jangka waktu yang lama agar terjadi pencegahan penyebaran penyalahgunaan narkoba.
Penerapan Simulasi Peer Teaching berbasis Lesson Study untuk Meningkatkan Keterampilan Dasar Mengajar Samosir, Rosauli N.; Domu, Ichdar; Jannah, Miftahul; Anggriani, Nita
MARISEKOLA: Jurnal Matematika Riset Edukasi dan Kolaborasi Vol. 5 No. 2: Oktober 2024
Publisher : Jurusan Matematika FMIPA Universitas Negeri Manado

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53682/marisekola.v5i2.9172

Abstract

Keterampilan dasar mengajar merupakan kemampuan yang harus dimiliki dan diterapkan setiap guru dalam melaksanakan tugas mengajarnya agar dapat mengajar dengan efektif, efisien dan profesional. Upaya yang dapat dilakukan untuk meningkatkan keterampilan dasar mengajar adalah dengan menerapkan simulasi Peer Teaching berbasis Lesson Study. Penelitian ini bertujuan untuk mengetahui peningkatan keterampilan dasar mengajar mahasiswa setelah Simulasi Peer Teaching berbasis Lesson Study diterapkan. Metode penelitian yang digunakan adalah Mixed Method, dengan desain penelitian deskriptif. Subjek penelitian ini adalah mahasiswa semester V (lima) Program Studi Pendidikan Matematika Universitas Negeri Manado (Unima) Tahun Akademik 2023/2024. Hasil penelitian menunjukkan bahwa penerapan simulasi Peer Teaching berbasis Lesson Study dapat meningkatkan keterampilan dasar mengajar mahasiswa semester V Program Studi Pendidikan Matematika Unima Tahun Akademik 2023/2024 dari persentase keberhasilan pada siklus I sebesar 80% menjadi 90% pada siklus II. Rata-rata keterampilan dasar mengajar mahasiswa juga mengalami kenaikan, dari nilai 72,7 menjadi 78,5 dengan kategori baik. Diharapkan simulasi Peer Teaching berbasis Lesson Study dapat menjadi alternatif bagi para pendidik atau lembaga pendidikan tinggi dalam meningkatkan keterampilan dasar mengajar mahasiswa calon guru. Serta, temuan mengenai kendala yang dihadapi mahasiswa selama simulasi mengajar ini dapat dijadikan pembelajaran berharga bagi mahasiswa.
DEVELOPMENT OF POWERPOINT-BASED LEARNING MEDIA ON THE MATERIAL OF SYSTEM OF TWO VARIABLE LINEAR EQUATIONS MASHITA NO'E, NURSHIAH RAMONA; Salajang, Santje; Anggriani, Nita
SOSCIED Vol 8 No 1 (2025): SOSCIED - Juli 2025
Publisher : LPPM Politeknik Saint Paul Sorong

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32531/jsoscied.v8i1.943

Abstract

The lack of utilization of teaching materials that can attract students' attention is one of the problems in mathematics education that has been identified from various sources. The aim of this study is to create a valid, practical, and effective learning resource based on PowerPoint for eighth-grade students at MTs Nurul Yaqin Tondano. This study is a research and development (R&D) type that uses the 4-D development approach (Define, Design, Develop, and Disseminate). Evaluation by expert validators resulted in a very valid score of 91.33. Based on the responses from teachers and students, the practicality scores were 98 and 87.93, respectively, and were classified as very good. With a classical graduation rate of 81%, the created PowerPoint has met the effective criteria. In summary, the created PowerPoint is valid, practical, and effective for learning.
Examining the Role of the School Environment to Enhance Indonesian Middle School Students’ Numeracy Ermita, Ermita; Samosir, Rosauli Novalina; Miftahul Jannah; Nita Anggriani; Aisyiah Restutiningsih Putri Utami; Muhammad Isbar Pratama
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.v4i3.309

Abstract

This study investigates how the school environment, both physical and non-physical, can support the development of middle school students’ numeracy in Indonesia. Conducted during the Kampus Mengajar program, the study used a mixed methods approach in two junior high schools in North Sulawesi. Environmental interventions included numeracy-themed visual displays, games, and integration of numeracy across subjects and projects. A total of 48 Grade 8 students were involved in pre- and post-tests, supported by interviews and observations. Results showed statistically significant improvements in students’ numeracy scores after the intervention. Qualitative data revealed that students engagement in classroom increased. Moreover, the interventions received positive perceptions from students, teachers, and principals. Both schools faced some challenges, such as space limitations and teachers engagement was mostly limited to those teaching science and mathematics. The findings suggest that designing a school environment, both physical and non-physical, that is numeracy-rich can enhance students' numeracy skills, even with limited resources. Further studies are recommended to explore long-term impacts and broader implementation.
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.