Pendekatan Berdiferensiasi dan Dampaknya terhadap Kemampuan Penalaran Matematis SMK Negeri 1 Tolitoli
DOI:
https://doi.org/10.56630/tolis.v7i1.906Keywords:
Differentiated Instruction, Mathematical Reasoning, Mathematics Learning, Vocational School, Quasi-ExperimentalAbstract
This study aims to analyze the impact of differentiated instruction on students' mathematical reasoning abilities at SMK Negeri 1 Tolitoli. The background of the study lies in the low level of students’ mathematical reasoning skills, which is attributed to uniform teaching methods that overlook students' varying characteristics. A quasi-experimental method was employed using a Non-random Pre-test Post-test Control Group design. The sample consisted of two classes from the Accounting and Financial Institution program and two classes from the Computer and Network Engineering program, each divided into experimental and control groups. Research instruments included mathematical reasoning tests and observation sheets. Statistical analysis revealed that differentiated instruction had a significant positive effect on students’ mathematical reasoning abilities compared to conventional teaching approaches. The independent sample t-test indicated significant differences in post-test scores between the experimental and control groups in both vocational programs. These findings suggest that differentiated instruction is effective in enhancing mathematical reasoning skills among vocational school students and can serve as an adaptive and contextual teaching strategy.
References
Agusdianita, N., Ayudia, V. & Tarmizi, P., 2024. Pengaruh pendekatan pembelajaran berdiferensiasi pada Kurikulum Merdeka terhadap kemampuan pemahaman matematika siswa kelas V Sekolah Dasar Penggerak di Kota Bengkulu. Kalam Cendekia: Jurnal Ilmiah Kependidikan, 12(2), pp.123–134. Available at: https://doi.org/10.20961/jkc.v12i2.86105.
Cindyana, E.A., Alim, J.A. & Noviana, E., 2022. Pengaruh pembelajaran berdiferensiasi berbantuan materi ajar geometri berbasis RME terhadap kemampuan penalaran matematis siswa kelas 3 sekolah dasar. Jurnal Pajar (Pendidikan dan Pengajaran), 6(3), pp.1180–1190. Available at: https://doi.org/10.33578/pjr.v6i4.8837.
Doe, J., 2021. The impact of differentiated approach on mathematical reasoning ability. Journal of Mathematics Education, 45, pp.34–45.
Haryanti, C.F., 2024. Peningkatan kemampuan penalaran matematika melalui pembelajaran berdiferensiasi di SMP Negeri 4 Waru. Didaktika: Jurnal Pemikiran Pendidikan, 30(1), pp.135–144. Available at: http://dx.doi.org/10.30587/didaktika.v30i1.7431.
Pei, Q. et al., 2025. MathFusion: Enhancing mathematic problem-solving of LLM through instruction fusion. arXiv preprint, arXiv:2503.16212. Available at: https://arxiv.org/abs/2503.16212.
Putri, R.P., 2022. Hubungan antara pemahaman konsep dan kemampuan penalaran matematis siswa SMK. Jurnal Pendidikan Matematika Indonesia, 7(1), pp.55–65. Available at: https://doi.org/10.26737/jpmi.v7i1.3107.
Rahman, A. & Wahyudi, A., 2023. Analisis kebutuhan pembelajaran berdiferensiasi di Sekolah Menengah Kejuruan. Jurnal Pendidikan Vokasi, 13(2), pp.245–256. Available at: https://doi.org/10.21831/jpv.v13i2.54762.
Rizqia, R., Senjayawati, E. & Kadarisma, G., 2022. Analisis pengaruh self regulated learning terhadap kemampuan penalaran matematis siswa pada materi SPLDV. JPMI (Jurnal Pembelajaran Matematika Inovatif), 5(3), pp.741–750.
Sari, D.P. & Nugroho, S.E., 2023. Analisis kemampuan penalaran matematis siswa SMK ditinjau dari gaya belajar. Jurnal Penelitian Pendidikan, 40(3), pp.312–320. Available at: https://doi.org/10.15294/jpp.v40i3.61245.
Septiani, A., Sofnidar, S. & Simatupang, G.M., 2024. Pengaruh model Problem Based Learning dalam pembelajaran berdiferensiasi terhadap kemampuan penalaran matematis siswa. Jurnal Ilmiah Matematika Realistik, 5(1), pp.45–56. Available at: https://jim.teknokrat.ac.id/index.php/pendidikanmatematika/article/view/5205.
Smith, J., 2020. Enhancing mathematical reasoning skills through differentiated instruction. International Journal of Educational Research, 78, pp.112–120.
Taruklimbong, E.S.W. & Sihotang, H., 2023. Peluang dan tantangan penggunaan AI (Artificial Intelligence) dalam pembelajaran kimia. Jurnal Pendidikan Tambusai, 7(3), pp.26745–26757
















