Peningkatan Resiliensi Matematis Siswa melalui Model Problem Based Learning Berpendekatan Deep Learning

Sarianto Togatorop; Abdul Mujib

doi:10.31851/indiktika.v8i2.21803

Authors

Sarianto Togatorop Universitas Muslim Nusantara Al Washliyah Medan, Indonesia
Abdul Mujib Universitas Muslim Nusantara Al Washliyah, Medan, Indonesia

DOI:

https://doi.org/10.31851/indiktika.v8i2.21803

Keywords:

Mathematical Resilience, Problem Based Learning, Deep Learning, Mathematics Learning

Abstract

Mathematical resilience is a crucial element in mathematics education as it embodies students' perseverance, self-assurance, adaptability, and readiness to confront hurdles in resolving mathematical problems. This study seeks to evaluate the enhancement of students' mathematical resilience via the use of the Problem Based Learning (PBL) paradigm utilising a Deep Learning technique. This study utilised a quasi-experimental design using a pretest-posttest nonequivalent group structure comprising three groups: direct instruction, PBL, and PBL with a Deep Learning technique. The participants comprised eleventh-grade students of SMA Negeri 1 Medang Deras chosen by purposive sampling. Data were gathered with a mathematical resilience questionnaire and analysed by descriptive statistics, N-Gain analysis, normality and homogeneity testing, ANOVA, and post hoc tests. The findings indicated that all learning models enhanced students' mathematical resilience; however, the PBL model utilising a Deep Learning technique yielded the most significant improvement relative to the other groups. The results demonstrate that the integration of Problem Based Learning with a Deep Learning methodology fosters greater persistence, reflection, collaboration, and confidence among students while confronting mathematical challenges. Consequently, the PBL model utilising a Deep Learning approach may be seen as a viable alternative for augmenting students' mathematical resilience in mathematics education.

References

Abraham, I., & Supriyati, Y. (2022). Desain Kuasi Eksperimen Dalam Pendidikan: Literatur Review. Jurnal Ilmiah Mandala Education, 8(3), 2476–2482. https://doi.org/10.58258/jime.v8i3.3800

Arikunto, S. (2021). Prosedur Penelitian Suatu Pendekatan Praktek. Rineka Cipta.

Dweck, C. S. (2017). The Journey to Children’s Mindsets—and Beyond. Child Development Perspectives, 11(2), 139–144. https://doi.org/10.1111/cdep.12225

Etherton, K., Steele-Johnson, D., Salvano, K., & Kovacs, N. (2022). Resilience effects on student performance and well-being: the role of self-efficacy, self-set goals, and anxiety. The Journal of General Psychology, 149(3), 279–298. https://doi.org/10.1080/00221309.2020.1835800

Fatika Sari, W., & Munawaroh, E. (2022). Pengaruh Mindfulness Terhadap Resiliensi Pada Siswa Remaja SMP. Jurnal Bimbingan Dan Konseling Indonesia, 7(2), 0–00. https://ejournal2.undiksha.ac.id/index.php/jurnal_bk

Fatmawaty. (2024). Deep Learning : Sebuah Pendekatan untuk Pembelajaran Bermakna. Harmoni Pendidikan: Jurnal Ilmu Pendidikan, 1(1), 71–85.

Fazriansyah, M. F., Sirri, E. L., & Faturohman, I. (2025). Kontribusi Resiliensi Matematis terhadap Hasil Belajar Matematika. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 8(1), 310–319. https://doi.org/10.30605/proximal.v8i1.5208

Gres, O. :, Sembiring, A., Siagian, K. A., & Rajagukguk, N. A. (2025). Pengaruh Model Problem Based Learning Terhadap Peningkatan Aktivitas dan Minat Belajar Siswa pada Materi Komponen Ekosistem dan Interaksinya di Kelas X SMA Negeri 7 Medan. JMA: Jurnal Media Akademik, 3(4), 3031–5220.

Hafiz, M., Darhim, & Dahlan, J. A. (2017). Comparison of Mathematical Resilience among Students with Problem Based Learning and Guided Discovery Learning Model. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012098

Mashudi, M. (2021). Pembelajaran Modern: Membekali Peserta Didik Keterampilan Abad Ke-21. Al-Mudarris (Jurnal Ilmiah Pendidikan Islam), 4(1), 93–114. https://doi.org/10.23971/mdr.v4i1.3187

Masjudin. (2024). Strengthening 21st Century Skills Through an Independent Curriculum in Mathematics Education in Indonesia: Challenges, Potential, and Strategies. International Journal of Applied Science and Sustainable Development (IJASSD), 6(2), 92–113.

Nur, S., & Al-washliyah, U. M. N. (2025). Penerapan Model Promblem Based Learning Berbasis Budaya Melayu untuk Meningkatkan Resiliensi Siswa. Pendas: Jurnal Ilmiah Pendidikan Dasar, 10(September), 324–336.

Nuramalina, H., & Prasetyo, A. (2025). Pengaruh Pembelajaran Model Problem Based Learning dalam Meningkatkan Kemampuan Resiliensi Matematis Siswa. 19(3), 1–13.

Nurjannah, K., & Ramlah. (2025). Pendekatan Deep Learning dalam Pendidikan Matematika: Sebuah Systematic Review tentang Dampaknya terhadap Kemampuan Pemecahan Masalah Matematis Siswa. Didactical Mathematics, 7(2), 603–617. https://doi.org/10.31949/dm.v7i2.16283

Rachmawati, Y., & Saefudin, A. A. (2025). Resiliensi matematika siswa dalam pembelajaran daring (e-learning): studi kasus pembelajaran matematika siswa di sekolah daerah terpencil dan wilayah pegunungan di DI Yogyakarta, Indonesia. Numerical: Jurnal Matematika Dan Pendidikan Matematika, 9(1), 10–21.

Subekti, A. C. (2025). Dampak Mindset Bertumbuh ( Growth Mindset ) terhadap Motivasi Intrinsik dan Ketahanan Akademik Siswa. AEJ: Advances Education Journals, 2 No 3.

Sugiyono. (2017). Metode Penelitian Manajemen (Alfabeta). In BMC Public Health (Vol. 5, Issue 1).

Sukarelawan, M. I., Indratno, T. K., & Ayu, S. M. (2024). N-Gain vs Stacking. Yogyakarta: Suryacahya. In Surya Cahya.

Sumarmo, U. (2015). Resiliensi Matematik (Mathematical Resilience). Proceedings of the National Academy of Sciences, 3(1), 1–20.

Thakur, M. S., & Jain, A. (2024). One-way Analysis of Variance (ANOVA). 5(8), 110–112.

Usmadi. (2020). Pengujian Persyaratan Analisis (Uji Homogenitas dan Uji Normalitas). Inovasi Pendidikan, 7(1), 50–62.