OPTIMIZING MATHEMATICAL PROBLEM SOLVING ABILITY THROUGH DEEP LEARNING INTEGRATION ORIENTED TOWARDS SELF-REGULATED LEARNING

  • Hana Lastiar Olivia Sagala Universitas Singaperbangsa Karawang, Indonesia
  • Ramlah Universitas Singaperbangsa Karawang, Indonesia
  • Aditya Prihandhika Universitas Singaperbangsa Karawang, Indonesia
Keywords: deep learning approach, mathematical problem-solving ability, n- gain, problem based learning, quasi-experimental

Abstract

Mathematical problem-solving ability is an essential competency in mathematics learning; however, research conducted during 2022–2025 consistently indicates that junior high school students’ problem-solving ability remains in the low category. Students tend to apply formulas without understanding the problem context and rarely verify their solutions. This study aims to examine: (1) whether there is a significant difference in mathematical problem-solving ability between students taught using the Deep Learning approach and those taught using a conventional approach; and (2) whether the improvement in mathematical problem-solving ability of students using the Deep Learning approach is better than that of students using the conventional approach. This study employed a quantitative method with a quasi-experimental design (Nonequivalent Pretest-Posttest Control Group Design), involving 61 eighth-grade students at SMP Negeri 1 Jatiwangi: 31 students in the experimental class (VIII-E) and 30 students in the control class (VIII-H). Data were collected through essay tests based on Polya’s problem-solving indicators and analyzed using independent samples t-test and Welch’s T’ test via IBM SPSS Statistics 26.0. The results show that: (1) there is a significant difference in posttest scores between the two classes (sig./2 = 0.0115 < 0.05), with the experimental class mean (56.42) higher than the control class (51.33); and (2) the improvement of the experimental class (N-Gain = 0.3013; moderate category) is significantly better than the control class (N-Gain = 0.1920; low category), based on Welch’s T’ test (sig./2 = 0.0015 < 0.05). These findings confirm that the Deep Learning effectively enhances students’ mathematical problem-solving ability.

Kemampuan pemecahan masalah matematika merupakan kompetensi penting dalam pembelajaran matematika; namun, penelitian yang dilakukan selama tahun 2022–2025 secara konsisten menunjukkan bahwa kemampuan pemecahan masalah siswa SMP masih berada pada kategori rendah. Siswa cenderung menerapkan rumus tanpa memahami konteks masalah dan jarang memverifikasi solusi mereka. Penelitian ini bertujuan untuk menguji: (1) apakah terdapat perbedaan signifikan dalam kemampuan pemecahan masalah matematika antara siswa yang diajar menggunakan pendekatan Deep Learning dan siswa yang diajar menggunakan pendekatan konvensional; dan (2) apakah peningkatan kemampuan pemecahan masalah matematika siswa yang menggunakan pendekatan Deep Learning lebih baik daripada siswa yang menggunakan pendekatan konvensional. Penelitian ini menggunakan metode kuantitatif dengan desain kuasi-eksperimental (Desain Kelompok Kontrol Non-ekuivalen Pretest-Posttest), yang melibatkan 61 siswa kelas delapan di SMP Negeri 1 Jatiwangi: 31 siswa di kelas eksperimen (VIII-E) dan 30 siswa di kelas kontrol (VIII-H). Data dikumpulkan melalui tes esai berdasarkan indikator pemecahan masalah Polya dan dianalisis menggunakan uji t sampel independen dan uji T Welch melalui IBM SPSS Statistics 26.0. Hasil menunjukkan bahwa: (1) terdapat perbedaan signifikan pada skor posttest antara kedua kelas (sig./2 = 0,0115 < 0,05), dengan rata-rata kelas eksperimen (56,42) lebih tinggi daripada kelas kontrol (51,33); dan (2) peningkatan kelas eksperimen (N-Gain = 0,3013; kategori sedang) secara signifikan lebih baik daripada kelas kontrol (N-Gain = 0,1920; kategori rendah), berdasarkan uji T Welch (sig./2 = 0,0015 < 0,05). Temuan ini menegaskan bahwa Deep Learning secara efektif meningkatkan kemampuan pemecahan masalah matematika siswa.

References

Alyani, F., & Ramadhina, A. L. (2022). The relation between self-regulated learning and mathematical problem-solving during Covid-19. Journal of Educational Research and Evaluation, 6(4), 645–652. https://doi.org/10.23887/jere.v6i4.47593

Anggriyani, A. & Zulkarnaen, R. (2023). Studi Kasus Kemampuan Pemecahan Masalah Matematis Materi Sistem Persamaan Linear Dua Variabel. Didactical Mathematics, 5(2), 494–501. https://doi.org/10.31949/dm.v5i2.6595

Aulia, Z., & Hidayati, N. (2023). Analisis Kemampuan Pemecahan Masalah Matematis dengan Materi Himpunan Pada Siswa SMP. Jurnal Didactical Mathematics, 5(2), 580–590. https://ejournal.unma.ac.id/index.php/dm

Ausubel, D. P. (1968). Educational psychology: A cognitive view. Holt, Rinehart and Winston.

Bambang, M., Irmawati, Nurhikma, Pajria, P., & Amelia, R. (2025). Pendekatan Deep Learning Dalam Meningkatkan Kemampuan Pemecahan Masalah Dan Motivasi Belajar Siswa Pada Materi Komposisi Fungsi. Pedagogy : Jurnal Pendidikan Matematika, 10(4), 1519–1532. https://doi.org/10.30605/pedagogy.v10i4.7116

Creswell, J. (2023). Research Design Qualitative, Quantitative, and Mixed Methods Approaches (6th ed.).

Desi Trisnawati, & Zainnur Wijayanto. (2025). The Effect of Flipped Classroom Model Integrated with Deep Learning Approach on Students’ Mathematical Problem-solving Ability Article Information. 10(2), 236–248. https://doi.org/10.22437/gentala.v4i1.xxxxx

Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive-developmental inquiry. American Psychologist, 34(10), 906–911. https://doi.org/10.1037/0003-066X.34.10.906

Fullan, Michael., Langworthy, Maria., & Barber, Michael. (2014). A rich seam : how new pedagogies find deep learning. MaRS Discovery District.

Girsang, M. K., & Rahayu, C. (2025). Bagaimana Pengimplementasian Pembelajaran Mendalam (Deep Learning) Dalam Belajar Matematika: Studi Literatur. Jurnal Kepemimpinan dan Pengurusan Sekolah, 497–507. https://www.ejurnal.stkip-pessel.ac.id/index.php/kp/article/view/580

Hafizah, N., Widiati, I., Herlina, S., & Wahyuni, R. (2025). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Berbasis Education for Sustainable Development (ESD) pada Materi Aritmetika Sosial Kelas VII SMP. Jurnal Cendekia : Jurnal Pendidikan Matematika, 9(3), 1473–1483. https://doi.org/10.31004/cendekia.v9i3.4358

Hake, R. R. (1998). Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. 66(1), 66–74. https://www.researchgate.net/publication/228710512_Interactive-Engagement_Versus_Traditional_Methods_A_Six-Thousand-Student_Survey_of_Mechanics_Test_Data_for_Introductory_Physics_Courses

Hallarte, D. K., Camaongay, Q. M., Congson, J., Cuamag, S., Datosme, J., Laude, V. K. B., Milano, M. L., Gonzales, R., & Gonzales, G. (2024). Modeling self-regulation in learning mathematics through teacher-promoting interaction and parental support among STEM learners: The mediating role of intrinsic motivation. Social Sciences & Humanities Open, 10, 101077. https://www.sciencedirect.com/science/article/pii/S2590291124003322

Komariya, K., Farida, N., & Vahlia, I. (2018). Pengaruh Model Pembelajaran FSLC Terhadap Kemampuan Pemecahan Masalah Matematika Ditinjau Dari Motivasi Belajar Siswa. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 7(1), 96-102. http://dx.doi.org/10.24127/ajpm.v7i1.1355

Ley, & Khofial Luthfi, A. (2024). Systematic Literature Review: Pengaruh Self-Regulated Learning Terhadap Kemampuan Pemecahan Masalah Matematika Siswa Berdasarkan Jenjang Pendidikan. Jurnal Pendidikan Matematika. https://doi.org/10.26618/jp.v11i2.15919

Manjaniawati, S., Yusritawati, I., Zaenal, R. M., & Kuningan, S. M. (2024). Efektivitas Penerapan Model Pembelajaran Pbl Berbantuan Alat Peraga Terhadap Kemampuan Pemecahan Masalah Matematis Siswa. EMTEKA: Jurnal Pendidikan Matematika, 5, 378–391. https://doi.org/10.24127/emteka.v5i2.6595

Marton, F., & Saljo, R. (1976). On Qualitative Differences in Learning: I – Outcome and Process. British Journal of Educational Psychology, 46(1), 4–11.

Ministry of Education, Culture, Research, and Technology. (2023). Laporan Hasil Asesmen Nasional 2023. Pusat Asesmen Pendidikan, Kemdikbudristek.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. NCTM.

Ningrum, A. P. S., Andayani, S., Vahlia, I., & Dewi, W. U. (2025). Analysis Of Problem Solving In Spldv Material Using Castel Stages Reviewed From Students'learning Styles. EMTEKA: Jurnal Pendidikan Matematika, 6(2), 1006-1018. https://doi.org/10.24127/emteka.v6i2.8803

OECD. (2023). PISA 2022 results (volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/53f23881-en

Piscayanti, K. S., Mujiyanto, J., Yuliasri, I., & Astuti, P. (2022). Deep Learning Approach Through Meaningful, Mindful, and Joyful Learning: A Library Research. Electronic Journal of Education, Social Economics and Technology (EST), 3(2), 288–297. https://jurnal.staialhidayahbogor.ac.id/index.php/est/article/view/553

Polya, G. (1973). How to Solve It: A New Aspect of Mathematical Method (2nd ed.). Princeton University Press.

Prihandhika, A., Aiyub, A., Suryadi, D., & Prabawanto, S. (2022). Efektivitas model Missouri Mathematics Project terhadap kemampuan koneksi matematis dalam pembelajaran turunan. JNPM (Jurnal Nasional Pendidikan Matematika), 6(3), 551–564. https://doi.org/10.33603/jnpm.v6i3.7073

Ramlah, Siswono, T. Y. E., & Lukito, A. (2024). Revealing the Uniqueness of Variations in Prospective Teachers' Metacognitive Activities in Solving Mathematical Problems Based on Gender. Infinity Journal of Mathematics Education, 13(2), 477–500. https://doi.org/10.22460/infinity.v13i2.p477-500

Raup, A., Ridwan, W., Khoeriyah, Y., Supiana, S., & Zaqiah, Q. Y. (2022). Deep Learning dan Penerapannya dalam Pembelajaran. JIIP-Jurnal Ilmiah Ilmu Pendidikan, 5(9), 3258–3267. https://doi.org/10.54371/jiip.v5i9.805

Salsabila, S., & Asih, E. C. M. (2024). The effect of problem-based learning models on students’ mathematical problem-solving ability: A meta-analysis. Jurnal Pendidikan MIPA, 25(2), 864–877.

Santiani, S. (2025). Analisis Literatur: Pendekatan Pembelajaran Deep Learning dalam Pendidikan. Jurnal Ilmiah Nusantara, 2(3), 50–57. https://doi.org/10.61722/jinu.v2i3.4357

Santos-Trigo, M. (2024). Problem solving in mathematics education: Tracing its foundations and current research-practice trends. ZDM–Mathematics Education, 56, 211–222. https://doi.org/10.1007/s11858-024-01578-8

Schoenfeld, A. H. (1985). Mathematical problem solving. Academic Press.

Setiawan, D., Maulidina, A., & Sunaryo, Y. (2024). Implementasi Problem Based Learning Berbasis Teknologi Digital terhadap Kemampuan Pemecahan Masalah Matematis Siswa. EQUALS: Jurnal Ilmiah Pendidikan Matematika, 7(2), 123–135. https://doi.org/10.46918/equals.v7i2.3045

Sriwahyuni, K., & Maryati, I. (2022). Kemampuan Pemecahan Masalah Matematis Siswa pada Materi Statistika. https://www.researchgate.net/publication/363260121_Kemampuan_Pemecahan_Masalah_Matematis_Siswa_pada_Materi_Statistika/fulltext/6313f6d8acd814437f0112ec/Kemampuan-Pemecahan-Masalah-Matematis-Siswa-pada-Materi-Statistika.pdf

Vahlia, I., Ramadhani, N., Loreza, N., & Febrilia, N. A. Analisis Kemampuan Pemecahan Masalah Dalam Menyelesaikan Soal Statistika. Jurnal EMTEKA, 3(1), 80-86. file:///C:/Users/hp/Downloads/1164-Article%20Text-3811-1-10-20220309%20(4).pdf

Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.

Xie, K., Chen, Y., & Hwang, G. J. (2024). Toward self-regulated learning: Effects of different types of data-driven feedback on pupils’ mathematics word problem-solving performance. Frontiers in Psychology, 15, 1356852. https://doi.org/10.3389/fpsyg.2024.1356852

Zimmerman, B. J. (1990). Self-Regulated Learning and Academic Achievement: An Overview. Educational Psychologist, 25(1), 3–17. https://www.tandfonline.com/doi/abs/10.1207/s15326985ep2501_2

Published
2026-09-01