Optimalisasi Kemampuan Pemecahan Masalah Matematika melalui Implementasi Pembelajaran Problem Based Learning (PBL): Systematic Literature Review
DOI:
https://doi.org/10.35706/sjme.v9i1.185Keywords:
Kemampuan Pemecahan Masalah Matematika, Problem Based Learning, Protokol Prisma, Systematic Literature review, Mathematical Problem-Solving Skills, Prisma ProtocolAbstract
Model Problem Based Learning (PBL) memberikan peluang bagi siswa untuk mengasah keterampilan berpikir kritis, analitis, dan kemampuan memecahkan masalah melalui partisipasi aktif dalam pembelajaran matematika. Penelitian ini bertujuan untuk mengeksplorasi implementasi PBL dalam meningkatkan kemampuan pemecahan masalah matematika siswa. Metodologi yang diterapkan dalam penelitian ini adalah Systematic Literature Review (SLR) dengan mengikuti Protokol PRISMA. Hasil analisis menunjukkan bahwa PBL merupakan pendekatan yang sangat efektif dalam memperbaiki kemampuan pemecahan masalah matematis siswa. Berbagai studi menunjukkan bahwa PBL secara konsisten menghasilkan performa yang lebih baik dibandingkan metode pembelajaran tradisional dalam meningkatkan kemampuan pemecahan masalah matematika di berbagai jenjang pendidikan, mulai dari dasar hingga menengah atas. PBL terbukti menjadi metode pembelajaran yang ampuh dalam meningkatkan kemampuan pemecahan masalah matematika siswa melalui partisipasi aktif, penerapan konteks nyata, peran guru sebagai fasilitator, serta penguatan kemandirian dan kemampuan berpikir kritis siswa.
References
Abda, M. I., & Pambudi, B. (2024). Application of Problem-Solving Approach Using Model Problem Based Learning to Improve Ability Problem Solving and Student Self-Efficacy (Vol. 1, Issue 1). MICESHI Proceeding, 1(1)
Afandi, & Ningsih, K. (2020). Taksonomi dan Model Pembelajaran Berpikir Tingkat Tinggi. UNTAN PRESS: Pontianak.
Ahdhianto, E. (2020). The Effect of Problem-Based Learning Models on Mathematical Problem Solving Skills in Primary Schools. Journal of Xi’an University of Architecture & Technology, Volume XII, Issue VIII. https://doi.org/10.37896/JXAT12.08/2618
Anam, K., Sudarwo, R., & Wiradharma, G. (2020). Application of the Problem Based Learning Model to Communication Skills and Mathematical Problem Solving Skills in Junior High School Students. JTAM (Jurnal Teori Dan Aplikasi Matematika), 4(2), 155–165. https://doi.org/10.31764/jtam.v4i2.2553
Ariyana, Y., Pudjiastuti, A., Bestary, R., & Zamroni. (2018). Buku Pegangan Pembelajaran Berorientasi pada Keterampilan Berpikir Tingkat Tinggi. Direktorat Jenderal Guru Dan Tenaga Kependidikan Kementerian Pendidikan Dan Kebudayaan.
Arta, I. M., Japa, I. G. N., & Sudarma, I. K. (2020). Problem Based Learning Berbantuan Icebreaker Berpengaruh Terhadap Kemampuan Pemecahan Masalah Matematika. Jurnal Mimbar PGSD Undiksha, 8(2), 264–273. https://doi.org/10.23887/jjpgsd.v8i2.25435
Binkley, M., et al. (2012). Defining twenty-first century skills. In Assessment and Teaching of 21st Century Skills.
Boaler, J. (2016). Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching. John Wiley & Sons.
Hattie, J., & Timperley, H. (2007). The Power of Feedback. Review of Educational Research, 77(1), 81-112.
Khairani, M., Sukmawati, & Nasrun. (2023). Pengaruh Model Pembelajaran Problem Based Learning (PBL) Terhadap Kemampuan Penalaran Dan Pemecahan Masalah Matematika Siswa Kelas V SDN 1 Lejang Kabupaten Pangkep. Al-Madrasah: Jurnal Pendidikan Madrasah Ibtidaiyah, 7(1), 458–471. https://doi.org/10.35931/am.v7i1.1885
Kitchenham, B. (2004). Procedures for Performing Systematic Reviews. Australia: Keele University Technical Report
Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate health care interventions: explanation and elaboration. Journal of Clinical Epidemiology, 62(10), e1–e34. https://doi.org/10.1016/j.jclinepi.2009.06.006
Mann, S. (2018). Rethinking Education in the Age of Technology: The Digital Revolution and Schooling in America. Palgrave Macmillan.
Marchy, F., Murni, A., Kartini, & Muhammad, I. (2022). The Effectiveness of Using Problem-Based Learning (PBL) in Mathematics Problem-Solving Ability for Junior High School Students. In AlphaMath Journal of Mathematics Education (Vol. 8, Issue 2). https://doi.org/10.30595/alphamath.v8i2.15047
Meika, I. ., Pratidiana, D., & Safitri, E. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Kelas VII Dalam Menyelesaikan Soal Cerita Pada Materi Himpunan. SJME (Supremum Journal of Mathematics Education), 6(1), 75–84. https://doi.org/10.35706/sjme.v6i1.5764
Musliha, & Revita, R. (2021). Pengaruh Model Pembelajaran Problem Based Learning Terhadap Kemampuan Pemecahan Masalah Matematis Ditinjau dari Self Regulated Learning Siswa. JRPM (Jurnal Review Pembelajaran Matematika), 6(1), 68–82. https://doi.org/10.15642/jrpm.2021.6.1.68-82
Muslim, S. R. (2017). Pengaruh Penggunaan Model Project Based Learning Terhadap Kemampuan Pemecahan Masalah Matematik Peserta Didik SMA. SJME (Supremum Journal of Mathematics Education), 1(2), 88–95. https://doi.org/10.35706/sjme.v1i2.756
Nazara, E., & Dewi, I. (2023). The Effect of Problem-Based Learning (PBL) Using Video-Based Learning (VBL) on Mathematics Students’ Problem-Solving Ability in SMK Negeri 14 Medan. Jurnal Cendekia : Jurnal Pendidikan Matematika, 8(1), 1–12. https://doi.org/10.31004/cendekia.v8i1.1961
NCTM. (2000). Principles Standards and for School Mathematics. Reston. VA: NCTM
Nurmalasari, Amril, L. O., & Humaira, M. A. (2020). The Influence of Problem-Based Learning Model on The Ability of The Problem of Mathematical Stories. In Indonesian Journal of Applied Research (Vol. 1). https://doi.org/10.30997/ijar.v1i1.33
Partnership for 21st Century Skills (P21). (2009). Framework for 21st Century Learning. Retrieved from http://www.p21.org/
Ramadhani, A. N., Mulyono, & Yulianto, A. (2020). The Mathematical Problem-solving Ability of Elementary Students Using Problem-based Learning Model with Open-Ended Approach Article Info. Journal of Primary Education, 9(3), 276–281. https://doi.org/10.15294/jpe.v9i3.32805
Ramadhani, R. (2018). The enhancement of mathematical problem solving ability and self-confidence of students through problem based learning. Jurnal Riset Pendidikan Matematika, 5(1), 127–134. https://doi.org/10.21831/jrpm.v5i1.13269
Rigusti, W., Pujiastuti, H., & Mutaqin, A. (2020). The Effect of PBL Model and Learning Styles on Mathematical Problem-Solving and Self Esteem Abilities. Prisma Sains : Jurnal Pengkajian Ilmu Dan Pembelajaran Matematika Dan IPA IKIP Mataram, 8(1), 12–24. https://doi.org/10.33394/j-ps.v8i1.2683
Rohyati, & Purwanto, J. (2023). The Effect of PBL Model on Students’ Mathematical Problem-Solving Ability Based on HOTS Questions. In AlphaMath Journal of Mathematics Education (Vol. 9, Issue 2). https://doi.org/10.30595/alphamath.v9i2.19119
Salam, M., Ndia, L., Misu, L., Jafar, Suhar, & Hasnawati. (2024). Applying scaffolding technique in Problem Based Learning (PBL) model on students’ mathematics problem solving ability. World Journal of Advanced Research and Reviews, 21(3), 1372–1379. https://doi.org/10.30574/wjarr.2024.21.3.0846
Setiawan, H., Handayani, T., & Muslimahayati. (2021). Pengaruh Model Pembelajaran Berbasis Masalah Terhadap Kemampuan Pemecahan Masalah Matematis Siswa di MTs Ahliyah 1 Palembang. Suska Journal of Mathematics Education, 7(1), 31–40. https://doi.org/10.24014/sjme.v7i1.9231
Siagian, M. V., Saragih, S., & Sinaga, B. (2019). Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. International Electronic Journal of Mathematics Education, 14(2), 331–340. https://doi.org/10.29333/iejme/5717
Siregar, N., Asmin, & Fauzi, M. A. (2018). The Effect of Problem Based Learning Model on Problem Solving Ability Student. Proceedings of the 3rd Annual International Seminar on Transformative Education and Educational Leadership (AISTEEL 2018) Vol. 200. https://doi.org/10.2991/aisteel-18.2018.100
Smith, A. (2017). Education for the 21st Century: Issues and Trends. Routledge.
Sulaeman, E., & Astriyani, A. (2016). Upaya Meningkatkan Kemampuan Pemecahan Masalah Matematika Siswa Melalui Strategi Problem Based Learning pada Kelas VIII-C SMP Muhammadiyah 29 Sawangan Depok. Fibonacci: Jurnal Pendidikan Matematika dan Matematika 2(1). https://doi.org/10.24853/fbc.2.1.31-43
Supraptinah, U. (2019). Upaya Meningkatkan Kemampuan Pemecahan Masalah Matematika Siswa Melalui Penerapan Model Problem Based Learning. JURNAL LITBANG SUKOWATI, 2(2), 48–59. https://doi.org/10.32630/sukowati.v2i2.37
Susino, S. A., Destiniar, & Sari, E. F. P. (2023). Pengaruh Model Pembelajaran Problem Based Learning (PBL) Terhadap Kemampuan Pemecahan Masalah Matematis Siswa Kelas X SMA. Jurnal Cendekia : Jurnal Pendidikan Matematika, 8(1), 53–61. https://doi.org/10.31004/cendekia.v8i1.2918
Syara, L., Pasaribu, L. H., & Harahap, A. (2024). The influence of the problem based learning model on students’ mathematical problem solving ability in mathematical induction material. Educenter: Jurnal Ilmiah Pendidikan, 3(1), 49–58. https://doi.org/10.55904/educenter.v3i1.1112
Trilling, B., & Fadel, C. (2009). 21st Century Skills: Learning for Life in Our Times.
Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Harvard University Press.
Wagner, T. (2014). The Global Achievement Gap: Why Even Our Best Schools Don’t Teach the New Survival Skills Our Children Need—and What We Can Do About It.
Wahyuni, S., Isrok’atun, I., & Maulana. (2024). Pengaruh Problem-Based Learning dengan Permainan “Jelajah Waktu” terhadap Kemampuan Pemecahan Masalah Matematis di SD. SJME (Supremum Journal of Mathematics Education), 8(1), 29–44. https://doi.org/10.35706/sjme.v8i1.10580
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 SJME (Supremum Journal of Mathematics Education)
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
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 a Creative Commons Attribution License 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 (See The Effect of Open Access).
