Deep learning for enhancing mathematical reasoning skills in vocational high school students
DOI:
https://doi.org/10.22460/jpmi.v9i1s.30912Keywords:
Deep learning, mathematical reasoning, vocational high school students, mathematics learningAbstract
Mathematical reasoning ability is an essential competence in mathematics learning, as it enables students to analyse patterns, formulate conjectures, construct logical arguments, and draw systematic conclusions. However, studies indicate that this ability, particularly among vocational high school (SMK) students, remains relatively low due to learning practices that emphasize procedures and formula memorization rather than deep conceptual understanding. Therefore, an appropriate learning approach is needed to promote critical and reflective thinking. This study aims to examine the effectiveness of the Deep Learning approach in improving the mathematical reasoning abilities of tenth-grade vocational high school students. A quantitative approach with an experimental method and a pretest–post-test control group design was employed. The subjects consisted of two classes selected through cluster random sampling: an experimental class receiving the Deep Learning approach and a control class receiving conventional instruction. The instrument was a mathematical reasoning test administered before and after learning. Data were analysed using descriptive statistics, followed by normality, homogeneity, and t-tests. The results showed that the experimental class achieved a higher average post-test score, with a significance value of 0.000 < 0.05, indicating a significant difference. Thus, the Deep Learning approach is effective in improving students’ mathematical reasoning abilities
References
Adiputra, Y., & Putri, H. E. (2022). Deskripsi kemampuan penalaran matematis siswa SMK pada materi fungsi komposisi dan invers. Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika, 4(2), 465–573. https://doi.org/10.30606/absis.v412.1087
Afifah, D. S. N., Syauqy, M., & Nafian, M. I. (2023). Karakteristik penalaran adaptif siswa sekolah vokasi dalam memecahkan masalah matematis. Al-Ishlah: Jurnal Pendidikan, 15(3), 3028–3039. https://doi.org/10.35445/alishlah.v15i3.3748
Andriani, U. C., & Hataningrum, E. S. N. (2024). Kesalahan penalaran multiplikatif siswa SMK dalam menyelesaikan masalah. RAINSTEK: Jurnal Terapan Sains & Teknologi, 6(4), 319–328. https://doi.org/10.21067/jtst.v6i4.11383
Anggraini, R. F., Sadieda, L. U., & Hidayati, N. (2025). Pengembangan modul ajar deep learning untuk meningkatkan hasil belajar. J-PiMat: Jurnal Pendidikan Matematika, 7(2), 1839–1850. https://doi.org/10.31932/j-pimat.v7i2.5416
Ardiansyah, M., & Nugraha, M. L. (2025). Implementasi deep learning untuk meningkatkan hasil pembelajaran di sekolah menengah kejuruan (SMK) se-Jakarta Barat. Research and Development Journal of Education, 11(1), 302–309. http://dx.doi.org/10.30998/rdje.v1lil.26453
Ariati, C., & Juandi, D. (2022). Kemampuan penalaran matematis: Systematic literature review. LEMMA: Letters of Mathematics Education, 8(2), 61–75. https://doi.org/10.22202/jl.2022.v8i2.5745
Barokah, N., & Mahmudah, U. (2025). Transformasi pembelajaran matematika SD melalui deep learning: Strategi untuk meningkatkan motivasi dan prestasi. Khatulistiwa: Jurnal Pendidikan dan Sosial Humaniora, 5(1), 574–587. https://doi.org/10.55606/khatulistiwa.v5i1.6105
Bernard, M., & Nurhayati, N. (2021). Analisis kemampuan penalaran matematis siswa dalam menyelesaikan masalah matematika. Jurnal Pendidikan Matematika, 5(2), 1234–1245.
Biggs, J., & Tang, C. (2011). Teaching for quality learning at university (4th ed.). McGraw-Hill Education.
Dahroni, Saputra, Z. A., Restiani, H., Ayu, M., & Pratiwi, R. H. (2025). Perbandingan efektivitas pembelajaran deep learning dan berdiferensiasi terhadap kemampuan pemecahan masalah dan penalaran matematis siswa SMP. Aljabar: Jurnal Ilmuan Pendidikan, Matematika dan Kebumian, 1(3), 124–140. https://doi.org/10.62383/aljabar.v1i3.683
Dewi, I., Hasratuddin, Andriani, A., & Sireger, N. (2025). Perancangan pembelajaran matematika menggunakan pendekatan deep learning. Jurnal Fibonaci: Jurnal Pendidikan Matematika, 6(1), 106–115. https://doi.org/10.24114/jfi.v6i1.66406
Faridah, N., & Marlina, R. (2025). Exploring 11th-grade students’ mathematical reasoning ability on sequences and series: a qualitative study. Pi Radian: Journal of Mathematics Education, 3(1), 17-32. https://doi.org/10.63214/piradian.v3i1.pp17-32
Fatimah, A. T. (2021). Mathematical reasoning of vocational high school students on mathematical tasks in the law of demand context. Journal of Mathematics Education, 7(2).
Feriyadi, D., Yani, A. T., & Maria, H. T. (2025). A deep learning-based adaptive e-module in mathematics: Design and evaluation for visual communication design vocational students. Al-Jabar: Jurnal Pendidikan Matematika, 16(2), 483–498. https://doi.org/10.24042/ajpm.v16i.26718
Gultom, C. I., Triyanto, & Saputro, D. R. S. (2022). Students’ mathematical reasoning skills in solving mathematical problems. Jurnal Pendidikan Indonesia, 11(3), 542–551. https://doi.org/10.23887/jpiundiksha.v11i3.42073
Hattie, J. (2017). Visible learning for teachers: Maximizing impact on learning. Routledge.
Hendriana, H., Rohaeti, E. E., & Sumarmo, U. (2021). Hard skill dan soft skill matematika siswa (3rd ed.). PT Refika Aditama.
Khardita, D. A., & Agoestanto, A. (2023). Systematic literature review: Mathematical reasoning ability in mathematics learning. Symmetry: Pasundan Journal of Research in Mathematics Learning and Education, 8(1), 23–31. https://doi.org/10.23969/symmetry.v8i1.7632
LeCun, Y., Bengio, Y., & Hinton, G. (2015). Deep learning. Nature, 521, 436–444.
Marton, F., & Säljö, R. (1976). On qualitative differences in learning: I—Outcome and process. British Journal of Educational Psychology, 46(1), 4–11. https://doi.org/10.1111/j.2044-8279.1976.tb02980.x
Mutmainnah, N., Adrias, & Zulkarnaini, A. P. (2025). Implementasi pendekatan deep learning terhadap pembelajaran matematika di sekolah dasar. Pendas: Jurnal Ilmiah Pendidikan Dasar, 10(1), 858–871. https://doi.org/10.23969/jp.v10i01.23781
Naseer, F., Khan, M. N., Tahir, M., Addas, A., & Aejaz, S. M. H. (2024). Integrating deep learning techniques for personalized learning pathways in higher education. Heliyon, 10(11). https://doi.org/10.1016/j.heliyon.2024.e32628
Nugraha, M. T., & Hasanah, A. (2021). Membentuk karakter kepemimpinan pada peserta didik melalui pendekatan pembelajaran deep learning. Al-Hikmah: Jurnal Pendidikan dan Pendidikan Agama Islam, 3(1). https://doi.org/10.36378/al-hikmah.v3i1.1026
Octriana, I., Putri, R. I. I., & Nurjannah. (2019). Penalaran matematis siswa dalam pembelajaran pola bilangan menggunakan PMRI dan LSLC. Jurnal Pendidikan Matematika, 13(2), 131–142.
Orhani, S. (2024). Deep learning in math education. International Journal of Research and Innovation in Social Science, 8(4), 270–278. https://doi.org/10.47772/IJRISS.2024.804022
Pamungkas, M. D., Waluya, S. B., Mariani, S., Rahmawati, F., Kholid, M. N., & Laksmiwati, P. (2024). Enhancing complex problem-solving skills through STEM-based spatial geometry e-modules. Qubahan Academic Journal, 4(3), 541–556. https://doi.org/10.48161/qaj.v4n3a794
Riyanto, B. (2011). Meningkatkan kemampuan penalaran dan prestasi matematika dengan pendekatan konstruktivisme pada siswa sekolah menengah atas. Jurnal Pendidikan Matematika, 5(2), 111–128.
Rohmah, S. N. (2021). Strategi pembelajaran matematika. UAD Press.
Rosiyati, D., Erviana, R., Fadilla, A., Sholihah, U., & Musrikah. (2025). Pendekatan deep learning dalam kurikulum merdeka. Al-Irsyad: Journal of Mathematics Education, 4(2), 131–143. https://doi.org/10.58917/ijme.v4i2.270
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. University of California.
Shadiq, F. (2004). Pemecahan masalah, penalaran dan komunikasi. PPPG Matematika.
Shafira, Z. N., Adelia, E., Julaeha, N. S., Pertiwi, Y. A., Devi, D., & Zikri, M. F. A. (2023). Tren penelitian kemampuan penalaran matematis di Indonesia. Intellectual Mathematics Education, 1(1), 10–22. https://doi.org/10.59108/ime.v1i1.12
Siregar, T., Fauzan, A., Yerizon, & Syafriandi. (2025). Designing mathematics teaching through deep learning pedagogy: Toward meaningful, mindful, and joyful learning. Journal of Deep Learning, 1(2), 188–202. https://doi.org/10.23917/jdl.v1i2.11969
Slamet, Hendriana, B., & Supiat. (2025). Mengungkapkan perspektif siswa: Peran deep learning dalam visualisasi konsep dan pemecahan masalah matematika. International Journal of Progressive Mathematics Education, 5(1), 225–237. https://doi.org/10.22236/ijopme.v5i1.19310
Sudarmono, M. A., Hasan, & Halima. (2025). Deep learning approach in improving critical thinking skills of elementary school students. JPPIPA: Jurnal Penelitian Pendidikan IPA, 11(8), 60–70. https://doi.org/10.29303/jppipa.v11i8.11708
Sugiyono. (2016). Metode penelitian kuantitatif, kualitatif, dan R&D. Alfabeta.
Sumarmo, U. (2013). Kumpulan makalah: Berpikir dan disposisi matematik serta pembelajarannya. FMIPA UPI.
Suryadi, A. (2025, April 17). Deep learning: Melibatkan dunia untuk mengubah dunia. Kemenag RI BDK Jakarta. https://bdkjakarta.kemenag.go.id/deep-learning-melibatkan-dunia-untuk-mengubah-dunia/
Susilowati, J. P. A. (2016). Profil penalaran siswa SMP dalam pemecahan masalah matematika ditinjau dari perbedaan gender. JRPM: Jurnal Review Pembelajaran Matematika, 1(2), 132–148.
Swawikanti, K. (2024, November 15). Mengenal deep learning, pendekatan belajar baru dari Mendikdasmen. Ruangguru. https://www.ruangguru.com/blog/pendekatan-deep-learning.
Tang, S & Pereira, J. (2025). Research on mathematical abstraction literacy in China. Pi Radian: Journal of Mathematics Education,,3(1), 1-16. https://doi.org/10.63214/piradian.v3i1.pp1-16
Villegas, W., Ortiz, J. G., & Viteri, S. S. (2024). Personalization of learning: Machine learning models for adapting educational content to individual learning styles. IEEE Access, 12, 121114–121130. https://doi.org/10.1109/ACCESS.2024.3452592
Wahyudi, D. A. (2025a). Pengaruh pembelajaran deep learning terhadap kemampuan penalaran matematis dan kepercayaan diri siswa SMA Dharma Pancasila Medan. Jurnal Inovasi Pendidikan Pedagogi, 1(1), 9–17.
Wahyudi, D. A. (2025b). Pengaruh pembelajaran deep learning terhadap kemampuan penalaran matematis dan kepercayaan diri siswa SMA Dharma Pancasila Medan. Jurnal Inovasi Pendidikan Pedagogi, 1(1).
Widodo, A., & Kartika, Y. (2022). Deep learning approach in mathematics learning to improve students’ reasoning ability. International Journal of Instruction, 15(3), 789–804.
Zulkardi, Z., Putri, R. I. I., & Hartono, Y. (2021). Designing learning trajectories to support mathematical reasoning. Journal on Mathematics Education, 12(3)
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