Solusi Masalah Bullying Menggunakan Pemodelan Matematika dengan Bimbingan dan Kounseling pada Pelajar Madrasah di Kabupaten Gowa
Keywords:
Bullying, Model Matematika, bimbingan dan konseling
Abstract
Penelitian ini mengkaji tentang solusi permasalahan bullying menggunakan pemodelan matematika dengan Bimbingan Konseling pada Pelajar Madrasah di Kabupaten Gowa. Tujuan penelitian ini adalah membangun model matematika SBP yang menggambarkan laju Perilaku kasus sosial pembulyan, menganalisis model bullying, mendapatkan solusi bullying dengan bimbingan konseling. Penelitian ini menggunakan pendekatan kuantitatif, populasi penelitian adalah siswa-siswi Madrasah Tsanawiyah (MTs) dan Madrasah Aliyah (MA) di Kabupaten Gowa sebanyak 10.463 orang. Jumlah sampel sebanyak 362 orang sebagai data utama penelitian yang diperoleh melalui instrument dan kuesioner secara luring dan daring. Penelitian dimulai dengan membagun model matematika kasus bullying, menganalisis model dan simulasi model berdasarkan data riil untuk menyimpulkan solusi pembulyan dengan bimbingan dan konseling di Madrasah menggunakan Maple. Hasil penelitian menunjukkan bahwa hasil sintetis analisis dan simulasi model matematika SBP mengungkapkan dua titik keseimbangan yaitu keseimbangan yang tidak bebas dan bebas dari perilaku kasus sosial pembulyan, hasil simulasi menunjukkan bahwa kasus pembulyan akan selalu ada di kalangan pelajar di MTs dan MA, tetapi nilai bilangan reproduksi dasar R0=0,74889 yang mengindikasikan bahwa proses pembulyang dapat diatasi dan tidak terjadi penyebaran secara psikologi dimana setiap pelajar yang mendapatkan kasus dibuly tidak mempengaruhi pelajar lainnya dengan memaksimalkan bimbingan dan konseling di Madrasah. Hasil penelitian ini dapat menjadi rujukan bagi sekolah-sekolah yang ada di Indonesia.
Downloads
Download data is not yet available.
Metrics
Metrics Loading ...
References
Abdy, M., Side, S., Annas, S., Nur, W., & Sanusi, W. (2021). An SIR epidemic model for COVID-19 spread with fuzzy parameter: The case of Indonesia. Advances in difference equations, 2021(1), 1-17.
Anas, S., & Side, S. (2021). Analysis and simulation of mathematical model for typhus disease in Makassar. Journal of Physics: Conference Series, 1918(4), 042025.
Annas, S., Pratama, M. I., Rifandi, M., Sanusi, W., & Side, S. (2020). Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia. Chaos, Solitons & Fractals, 139, 110072.
Annas, S., Side, S., Pandjajangi, A. M. R. Y. S. A., Syahrul, N. F., & Arradiah, L. (2021). Using SAPR model for solution of social poverty problem due to COVID-19 in Makassar City. Jurnal Varian, 5(1), 47-58.
Ansar, A., Syam, R., Sidjara, S., & Side, S. (2021). Mathematical modeling of APKA on dynamics unemployment rate in Makassar City. Journal of Physics: Conference Series, 1899(1), 012089.
Anwar, A., Syam, R., Pratama, M. I., & Side, S. (2021). SEIRS model analysis for online game addiction problem of mathematics students. Journal of Physics: Conference Series, 1918(4), 042024.
APA. (2023). Bullying. [Internet]. [diakses 30 maret 2023]. Sumber: https://www.apa.org/topics/bullying.
Cambridge. (2022). Bullying. [Internet]. [diakses 30 maret 2023]. Sumber: https://dictionary.cambridge.org/dictionary/english/bullying.
Hasibuan, S. N., Juanda, B., & Mulatsih, S. (2019). Analisis sebaran dan faktor penyebab kemiskinan di Kabupaten Bandung Barat. Jurnal Agribisnis Indonesia, 7(2), 79-91.
Hermawati, A. (2023). Pengaruh Penanganan Keluhan, Komunikasi Pemasaran dan Kepercayaan terhadap Loyalitas (Literature Review Manajemen Pemasaran), Jurnal Manajemen dan Pemasaran Digital, 1(1).
Maria Ulfa, & Mohammad Mulyadi. (2020). Analisis dampak kredit usaha rakyat pada sektor usaha mikro terhadap penanggulangan kemiskinan di Kota Makassar. Aspirasi: Jurnal Masalah-Masalah Sosial, 11(1).
Maryam, H., Abdy, M., & Side, S. (2021). SEIAS-SEI model on asymptomatic and super infection malaria with imperfect vaccination. Journal of Physics: Conference Series, 1918(4), 042028.
Mutia, R. (2020). Analisis penyebab kemiskinan petani sektor perkebunan rakyat di Provinsi Aceh, berdasarkan faktor individu dan rumah tangga. Kinerja, 17(1), 129-139.
NCAB. (2023). Definition of bullying. [Internet]. [diakses 30 maret 2023]. Sumber: https://www.ncab.org.au/bullying-advice/bullying-for-parents/definition-of-bullying/.
Nur, W., Rachman, H., Abdal, N. M., Abdy, M., & Side, S. (2018). SIR model analysis for transmission of dengue fever disease with climate factors using Lyapunov function. Journal of Physics: Conference Series, 1028(1), 012117.
Nyompa, S., Maru, R., & Amal. (2019). Analisis kepadatan penduduk dengan tingkat kemiskinan di Kota Makassar. Prosiding Seminar Nasional LP2M UNM, 902-906.
Poerwanto, B., Fa’Rifah, R. Y., Sanusi, W., & Side, S. (2018). A Matlab code to compute prediction of survival trends in patients with DHF. Journal of Physics: Conference Series, 1028(1), 012113.
Rangkuti, Y. M., Side, S., & Noorani, M. S. M. (2014). Numerical analytic solution of SIR model of dengue fever disease in south Sulawesi using homotopy perturbation method and variational iteration method. Journal of Mathematical and Fundamental Sciences, 46(1), 91-105.
Saman, A., Side, S., Pratama, M. I., & Sanusi, W. (2022). Optimal control of the SEIR model of online game addiction using guidance and counseling. Engineering Letters, 30(3), 1-5.
Sanusi, W., Badwi, N., Zaki, A., Pratama, M. I., & Side, S. (2021). Analysis and Simulation of SIRS Model for Dengue Fever Transmission in South Sulawesi, Indonesia. Journal of Applied Mathematics, 2021, 2918080.
Sanusi, W., Side, S., Badwi, N., Pratama, M. I., & Sidjara, S. (2019). A SEIRS Model Analysis and Simulation for Dengue Fever Transmission. International Journal of Scientific & Technology Research, 8(10), 1048-1053.
Sanusi, W., Side, S., Pratama, M. I., & Aidid, M. K. (2020). Analysis and simulation of SII model for diabetes mellitus. International Journal of Scientific & Technology Research, 9(1), 2193-2197.
Side, S. (2015). A susceptible-infected-recovered model and simulation for transmission of tuberculosis. Adv Sci Lett, 21(2), 137-139.
Side, S., Astari, G. P., Pratama, M. I., & Sanusi, W. (2019). Numerical solution of diabetes mellitus model without genetic factors with treatment using Runge Kutta method. Journal of Physics: Conference Series, 1244(1), 012021.
Side, S., Badwi, N., Abdy, M., & Sanusi, W. (2021). SEIR model and simulation for typhus disease. Journal of Physics: Conference Series, 1752(1), 012003.
Side, S., Badwi, N., Sjahrir, N., Pratama, M. I., Rifandi, M., & Annas, S. (2023). Analysis and simulation of SIR model for COVID-19 spreading with the effect of offline learning and vaccination: A case study of Indonesia. International Journal of Mathematical Modelling and Numerical Optimisation, 13(1),
Side, S., Hulinggi, P. K. M., Syam, H. K., Irfan, M., & Taufik, A. G. P. (2021). The effectiveness of vaccination against the spread of COVID-19 with SEIR mathematical modeling in Gowa district. Jurnal Varian, 5(1), 17-28.
Side, S., Muzakir, N. A., Pebriani, D., & Utari, S. N. (2021). Model SEIR kecanduan game online pada siswa di SMP Negeri 3 Makassar. Sainsmat: Jurnal Ilmiah Ilmu Pengetahuan Alam, 9(1), 91-102.
Side, S., Sanusi, W., & Rustan, N. K. (2020). Model matematika SIR sebagai solusi kecanduan penggunaan media sosial. Journal of Mathematics, Computations, and Statistics, 3(2), 126-138.
Side, S., Zaki, A., & Sartika, S. (2021). Pemodelan Matematika SIRI pada Penyebaran Penyakit Tifus di SULSEL. Journal of Mathematics, Computations, and Statistics, 4(2), 55-65.
Syafruddin, S., & Noorani, M. S. M. (2013). Lyapunov function of SIR and SEIR model for transmission of dengue fever disease. International Journal of Simulation and Process Modelling, 8(2-3), 177-184.
Syam, R., Side, S., & Said, C. S. (2021). Model SEIRS penyebaran penyakit tuberkulosis di Kota Makassar. Journal of Mathematics, Computations, and Statistics, 3(1), 11-19.
UNICEF. (2020). Cyberbullying: [Internet]. [diakses 30 maret 2023]. Sumber: https://www.unicef.org/indonesia/id/child-protection/apa-itu-cyberbullying.
UNICEF. (2020). Perundungan di Indonesia: Fakta-fakta kunci, solusi dan rekomendasi. New York: UNICEF.
Anas, S., & Side, S. (2021). Analysis and simulation of mathematical model for typhus disease in Makassar. Journal of Physics: Conference Series, 1918(4), 042025.
Annas, S., Pratama, M. I., Rifandi, M., Sanusi, W., & Side, S. (2020). Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia. Chaos, Solitons & Fractals, 139, 110072.
Annas, S., Side, S., Pandjajangi, A. M. R. Y. S. A., Syahrul, N. F., & Arradiah, L. (2021). Using SAPR model for solution of social poverty problem due to COVID-19 in Makassar City. Jurnal Varian, 5(1), 47-58.
Ansar, A., Syam, R., Sidjara, S., & Side, S. (2021). Mathematical modeling of APKA on dynamics unemployment rate in Makassar City. Journal of Physics: Conference Series, 1899(1), 012089.
Anwar, A., Syam, R., Pratama, M. I., & Side, S. (2021). SEIRS model analysis for online game addiction problem of mathematics students. Journal of Physics: Conference Series, 1918(4), 042024.
APA. (2023). Bullying. [Internet]. [diakses 30 maret 2023]. Sumber: https://www.apa.org/topics/bullying.
Cambridge. (2022). Bullying. [Internet]. [diakses 30 maret 2023]. Sumber: https://dictionary.cambridge.org/dictionary/english/bullying.
Hasibuan, S. N., Juanda, B., & Mulatsih, S. (2019). Analisis sebaran dan faktor penyebab kemiskinan di Kabupaten Bandung Barat. Jurnal Agribisnis Indonesia, 7(2), 79-91.
Hermawati, A. (2023). Pengaruh Penanganan Keluhan, Komunikasi Pemasaran dan Kepercayaan terhadap Loyalitas (Literature Review Manajemen Pemasaran), Jurnal Manajemen dan Pemasaran Digital, 1(1).
Maria Ulfa, & Mohammad Mulyadi. (2020). Analisis dampak kredit usaha rakyat pada sektor usaha mikro terhadap penanggulangan kemiskinan di Kota Makassar. Aspirasi: Jurnal Masalah-Masalah Sosial, 11(1).
Maryam, H., Abdy, M., & Side, S. (2021). SEIAS-SEI model on asymptomatic and super infection malaria with imperfect vaccination. Journal of Physics: Conference Series, 1918(4), 042028.
Mutia, R. (2020). Analisis penyebab kemiskinan petani sektor perkebunan rakyat di Provinsi Aceh, berdasarkan faktor individu dan rumah tangga. Kinerja, 17(1), 129-139.
NCAB. (2023). Definition of bullying. [Internet]. [diakses 30 maret 2023]. Sumber: https://www.ncab.org.au/bullying-advice/bullying-for-parents/definition-of-bullying/.
Nur, W., Rachman, H., Abdal, N. M., Abdy, M., & Side, S. (2018). SIR model analysis for transmission of dengue fever disease with climate factors using Lyapunov function. Journal of Physics: Conference Series, 1028(1), 012117.
Nyompa, S., Maru, R., & Amal. (2019). Analisis kepadatan penduduk dengan tingkat kemiskinan di Kota Makassar. Prosiding Seminar Nasional LP2M UNM, 902-906.
Poerwanto, B., Fa’Rifah, R. Y., Sanusi, W., & Side, S. (2018). A Matlab code to compute prediction of survival trends in patients with DHF. Journal of Physics: Conference Series, 1028(1), 012113.
Rangkuti, Y. M., Side, S., & Noorani, M. S. M. (2014). Numerical analytic solution of SIR model of dengue fever disease in south Sulawesi using homotopy perturbation method and variational iteration method. Journal of Mathematical and Fundamental Sciences, 46(1), 91-105.
Saman, A., Side, S., Pratama, M. I., & Sanusi, W. (2022). Optimal control of the SEIR model of online game addiction using guidance and counseling. Engineering Letters, 30(3), 1-5.
Sanusi, W., Badwi, N., Zaki, A., Pratama, M. I., & Side, S. (2021). Analysis and Simulation of SIRS Model for Dengue Fever Transmission in South Sulawesi, Indonesia. Journal of Applied Mathematics, 2021, 2918080.
Sanusi, W., Side, S., Badwi, N., Pratama, M. I., & Sidjara, S. (2019). A SEIRS Model Analysis and Simulation for Dengue Fever Transmission. International Journal of Scientific & Technology Research, 8(10), 1048-1053.
Sanusi, W., Side, S., Pratama, M. I., & Aidid, M. K. (2020). Analysis and simulation of SII model for diabetes mellitus. International Journal of Scientific & Technology Research, 9(1), 2193-2197.
Side, S. (2015). A susceptible-infected-recovered model and simulation for transmission of tuberculosis. Adv Sci Lett, 21(2), 137-139.
Side, S., Astari, G. P., Pratama, M. I., & Sanusi, W. (2019). Numerical solution of diabetes mellitus model without genetic factors with treatment using Runge Kutta method. Journal of Physics: Conference Series, 1244(1), 012021.
Side, S., Badwi, N., Abdy, M., & Sanusi, W. (2021). SEIR model and simulation for typhus disease. Journal of Physics: Conference Series, 1752(1), 012003.
Side, S., Badwi, N., Sjahrir, N., Pratama, M. I., Rifandi, M., & Annas, S. (2023). Analysis and simulation of SIR model for COVID-19 spreading with the effect of offline learning and vaccination: A case study of Indonesia. International Journal of Mathematical Modelling and Numerical Optimisation, 13(1),
Side, S., Hulinggi, P. K. M., Syam, H. K., Irfan, M., & Taufik, A. G. P. (2021). The effectiveness of vaccination against the spread of COVID-19 with SEIR mathematical modeling in Gowa district. Jurnal Varian, 5(1), 17-28.
Side, S., Muzakir, N. A., Pebriani, D., & Utari, S. N. (2021). Model SEIR kecanduan game online pada siswa di SMP Negeri 3 Makassar. Sainsmat: Jurnal Ilmiah Ilmu Pengetahuan Alam, 9(1), 91-102.
Side, S., Sanusi, W., & Rustan, N. K. (2020). Model matematika SIR sebagai solusi kecanduan penggunaan media sosial. Journal of Mathematics, Computations, and Statistics, 3(2), 126-138.
Side, S., Zaki, A., & Sartika, S. (2021). Pemodelan Matematika SIRI pada Penyebaran Penyakit Tifus di SULSEL. Journal of Mathematics, Computations, and Statistics, 4(2), 55-65.
Syafruddin, S., & Noorani, M. S. M. (2013). Lyapunov function of SIR and SEIR model for transmission of dengue fever disease. International Journal of Simulation and Process Modelling, 8(2-3), 177-184.
Syam, R., Side, S., & Said, C. S. (2021). Model SEIRS penyebaran penyakit tuberkulosis di Kota Makassar. Journal of Mathematics, Computations, and Statistics, 3(1), 11-19.
UNICEF. (2020). Cyberbullying: [Internet]. [diakses 30 maret 2023]. Sumber: https://www.unicef.org/indonesia/id/child-protection/apa-itu-cyberbullying.
UNICEF. (2020). Perundungan di Indonesia: Fakta-fakta kunci, solusi dan rekomendasi. New York: UNICEF.
Published
21-05-2024
How to Cite
Aisyah Zahra Ramadhani Asya, Damang, D., Side, S., Muhammad Ridho Yusuf SAP, & Pratama, M. I. (2024). Solusi Masalah Bullying Menggunakan Pemodelan Matematika dengan Bimbingan dan Kounseling pada Pelajar Madrasah di Kabupaten Gowa. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 7(2), 604-615. https://doi.org/10.30605/proximal.v7i2.3735
Section
Articles
Copyright (c) 2024 Aisyah Zahra Ramadhani Asya, Syafruddin Side, Muhammad Ridho Yusuf SAP, Muhammad Isbar Pratama
This work is licensed under a Creative Commons Attribution 4.0 International License.
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
License and Copyright Agreement
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
