The effectiveness of problem-based learning in enhancing mathematical literacy: A systematic meta-analysis

Authors

  • Ahmad Gufron Universitas Negeri Semarang
  • Isti Hidayah Universitas Negeri Semarang
  • Ardhi Prabowo Universitas Negeri Semarang
  • Wardono Universitas Negeri Semarang
  • Scolastika Mariani Universitas Negeri Semarang

DOI:

https://doi.org/10.29408/jel.v11i2.30002

Keywords:

effect size, mathematical literacy, meta-analysis, problem-based learning

Abstract

This meta-analysis aims to evaluate the effectiveness of Problem-Based Learning (PBL) in improving students' mathematical literacy by reviewing empirical studies comparing PBL with conventional learning. The results show that PBL significantly improves mathematical literacy, with an effect size of 1.165, categorized as high. However, the effectiveness of PBL is influenced by moderating factors such as education level, student learning style, learning duration, and problem relevance. Findings suggest that PBL is more effective at the junior high school level than senior high school, although the difference is not statistically significant (p > 0.05). This study is limited by the short intervention duration in most analyzed studies and the lack of investigation into external factors like student motivation and teacher roles. Future research is recommended to conduct longitudinal studies, explore the integration of digital tools, and compare the use of real-world and academic problems in PBL. Overall, the findings confirm that PBL is an effective and promising approach for enhancing mathematical literacy when implemented with attention to relevant contextual and learner-specific factors.

References

Ahdhianto, E., Marsigit, Haryanto, & Nurfauzi, Y. (2020). Improving fifth-grade students’ mathematical problem-solving and critical thinking skills using problem-based learning. Universal Journal of Educational Research, 8(5), 2012 – 2021. https://doi.org/10.13189/ujer.2020.080539

Al-Fitriani, N. A., Darta, & Kandaga, T. (2023). Penerapan model problem-based learning berbantuan GeoGebra untuk meningkatkan kemampuan literasi matematis [Application of problem-based learning model assisted by GeoGebra to improve mathematical literacy skills]. Symmetry: Pasundan Journal of Research in Mathematics Learning and Education, 8(1), 138–145. https://doi.org/10.23969/symmetry.v8i1.8480

Ambarwati, D., & Kurniasih, M. D. (2021). Pengaruh Problem based learning berbantuan media Youtube terhadap kemampuan literasi numerasi siswa [The effect of YouTube-assisted problem-based learning on students' numeracy literacy skills]. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(3), 2857–2868. https://doi.org/10.31004/cendekia.v5i3.829

Ananda, S. F. D., & Fauziah, A. N. M. (2022). Penerapan model pembelajaran problem based learning untuk meningkatkan kemampuan literasi matematis SMP [Application of problem-based learning model to improve mathematical literacy skills in junior high school]. EDUSAINTEK: Jurnal Pendidikan, Sains dan Teknologi, 9(2), 390–403. https://doi.org/10.47668/edusaintek.v9i2.491

Andini, F. A., & Siregar, M. A. P. (2024). The effect of problem based learning on students’ mathematical literacy ability. Desimal: Jurnal Matematika, 7(1), 113. https://doi.org/10.24042/djm.v7i1.22211

Anwar, T. N., & Budi Waluya. (2018). Abilities of mathematical literacy based on self-confidence in problem based learning with DAPIC problem-solving process. Ujmer, 7(2), 152–160.

Astuti, A. D. K. P. (2020). Pengaruh problem based learning terhadap kemampuan literasi matematis siswa kelas VII di SMP Negeri 1 Bobotsari [The effect of problem-based learning on the mathematical literacy skills of seventh-grade students at SMP Negeri 1 Bobotsari]. AlphaMath : Journal of Mathematics Education, 4(2), 37. https://doi.org/10.30595/alphamath.v4i2.7359

Awami, F., Yuhana, Y., & Nindiasari, H. (2022). Meningkatkkan kemampuan literasi numerasi dengan model problem based learning (PBL) ditinjau dari self confidence Siswa SMK [Improving numeracy literacy skills using the problem-based learning (PBL) model as seen from the self-confidence of vocational high school students]. MENDIDIK: Jurnal Kajian Pendidikan dan Pengajaran, 8(2), 231–243. https://doi.org/10.30653/003.202282.236

Bissett-Johnson, K., & Radcliffe, D. (2021). Engaging engineering students in socially responsible design using global projects. European Journal of Engineering Education, 46(1), 4–26. https://doi.org/10.1080/03043797.2019.1674785

Borenstein, M., Hedges, L. V, & Rothstein, H. R. (2009). Introductionto meta-analysis (Issue January). Wiley.

Chua, B. L., Tan, O.-S., & Liu, W. C. (2022). Problem-based learning and technology: Impact on preservice teachers’ motivational orientations. In Graduate Employability and Workplace-Based Learning Development: Insights from Sociocultural Perspectives (pp. 123–141). Springer Nature. https://doi.org/10.1007/978-981-19-5622-5_8

Cohen-Shikora, E. R., Diede, N. T., & Bugg, J. M. (2018). The flexibility of cognitive control: Age equivalence with experience guiding the way. Psychology and Aging, 33(6), 924 – 939. https://doi.org/10.1037/pag0000280

Cooper, H. M., Valentine, J. C., & Hedges, L. V. (2017). Handbook of research synthesis and meta-analysis 2nd edition. In The Lancet (Vol. 389, Issue 10082).

Ertmer, P. A., & Glazewski, K. D. (2024). Problem-based learning: Essential design characteristics. In Trends and Issues in Instructional Design and Technology: Fifth Edition (pp. 183–200). Taylor and Francis. https://doi.org/10.4324/9781003502302-16

Farhan, M., Satianingsih, R., & Yustitia, V. (2021). Problem based learning on literacy mathematics: Experimental study in elementary school. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, 5(1), 118. https://doi.org/10.31331/medivesveteran.v5i1.1492

Fery, M. F., Wahyudin, & Tatang, H. (2017). Improving primary students mathematical literacy through problem based learning and direct instruction. Educational Research and Reviews, 12(4), 212–219. https://doi.org/10.5897/err2016.3072

Halme, A. L. E., McAlpine, K., & Martini, A. (2023). Fixed-effect versus random-effects models for meta-analyses: Random-effects models. European Urology Focus. https://doi.org/10.1016/j.euf.2023.10.023

Higgins, J. P. T., Thompson, S. G., Deeks, J. J., & Altman, D. G. (2003). Measuring inconsistency in meta-analyses. BMJ (Clinical Research Ed.), 327(7414), 557–560. https://doi.org/10.1136/bmj.327.7414.557

Hönekopp, J., & Linden, A. H. (2022). Heterogeneity estimates in a biased world. PLoS ONE, 17(2 February), 1–21. https://doi.org/10.1371/journal.pone.0262809

Huang, Y., & Chen, J. (2024). Applying machine learning and SHAP method to identify key influences on middle-school students’ mathematics literacy performance. Journal of Intelligence. https://doi.org/10.3390/jintelligence12100093

Hung, W. (2013). Conceptualizing problems in problem-based learning: Its role and cognitive tools. In Learning, Problem Solving, and Mindtools: Essays in Honor of David H. Jonassen (pp. 174–194). Taylor and Francis. https://doi.org/10.4324/9780203111062

Husna, A., & Kurniasih, M. D. (2023). Influence of the liveworksheet assisted problem-based learning model on students’ mathematical literacy ability. Mathline : Jurnal Matematika dan Pendidikan Matematika, 8(2), 503–520. https://mathline.unwir.ac.id/index.php/Mathline/article/view/419

Kang, H., & Cogan, L. S. (2020). The differential role of socioeconomic status in the relationship between curriculum-based mathematics and mathematics literacy: The link between TIMSS and PISA. International Journal of Science and Mathematics Education, 1–16. https://doi.org/10.1007/S10763-020-10133-2

Khurin’in, K., Fauziyah, N., & Suryanti, S. (2024). Penerapan pembelajaran problem based learning untuk meningkatkan literasi matematis siswa kelas X di SMA Muhammadiyah 5 Dukun [The application of problem-based learning to improve mathematical literacy among tenth-grade students at SMA Muhammadiyah 5 Dukun]. Ideguru: Jurnal Karya Ilmiah Guru, 9(2), 1035–1043. https://doi.org/10.51169/ideguru.v9i2.1006

Kurnila, V. S., Badus, M., Jeramat, E., & Ningsi, G. P. (2022). Peningkatan kemampuan literasi matematika melalui pendekatan problem based learning bermuatan penilaian portofolio [Improving mathematical literacy skills through a problem-based learning approach incorporating portfolio assessment]. Euler : Jurnal Ilmiah Matematika, Sains Dan Teknologi, 10(1), 88–97. https://doi.org/10.34312/euler.v10i1.13963

Kusumawati, W., Purwosetiyono, FX. D., & Handayani, S. H. R. (2024). Efektivitas model problem based learning berbantuan GeoGebra terhadap kemampuan literasi matematis siswa pada materi fungsi kuadrat. JagoMIPA: Jurnal Pendidikan Matematika Dan IPA, 4(1), 156–166. https://doi.org/10.53299/jagomipa.v4i1.484

Loyens, S. M. M., Magda, J., & Rikers, R. M. J. P. (2008). Self-directed learning in problem-based learning and its relationships with self-regulated learning. Educational Psychology Review, 20(4), 411–427. https://doi.org/10.1007/s10648-008-9082-7

Malinowski, A. (2023). Incorporating active learning, critical thinking, and problem-based learning in an advanced French culture and civilization course. In Teaching and Learning through Inquiry: a Guidebook for Institutions and Instructors (pp. 81–86). Taylor and Francis. https://doi.org/10.4324/9781003447351-9

Mann, L., Chang, R., Chandrasekaran, S., Coddington, A., Daniel, S., Cook, E., Crossin, E., Cosson, B., Turner, J. D., Mazzurco, A., Dohaney, J., O’Hanlon, T., Pickering, J., Walker, S., Maclean, F., & Smith, T. D. (2021). From problem-based learning to practice-based education: a framework for shaping future engineers. European Journal of Engineering Education, 46(1), 27–47. https://doi.org/10.1080/03043797.2019.1708867

Maslihah, S., Waluya, S. B., Rochmad, Kartono, Karomah, N., & Iqbal, K. (2021). Increasing mathematical literacy ability and learning independence through problem-based learning model with realistic mathematic education approach. Journal of Physics: Conference Series, 1918(4), 042123. https://doi.org/10.1088/1742-6596/1918/4/042123

Morris, S. B. (2023). Meta-analysis in organizational research: A guide to methodological options. Annual Review of Organizational Psychology and Organizational Behavior, 10(1), 225–259. https://doi.org/10.1146/annurev-orgpsych-031921-021922

Mutiasari, F., Susanta, A., & Muchlis, E. E. (2024). Pengaruh model pembelajaran problem based learning konteks budaya bengkulu terhadap kemampuan literasi matematika siswa SMPI Al-Azhar 52 Kota Bengkulu [The effect of the Bengkulu cultural context problem-based learning model on the mathematical literacy skills of students at SMPI Al-Azhar 52 in Bengkulu City]. Jurnal Lebesgue: Jurnal Ilmiah Pendidikan Matematika, Matematika Dan Statistika, 5(2), 844–850. https://doi.org/10.46306/lb.v5i2.621

Muzana, S. R., Jumadi, Wilujeng, I., Yanto, B. E., & Mustamin, A. A. (2021). E-STEM project-based learning in teaching science to increase ICT literacy and problem solving. International Journal of Evaluation and Research in Education, 10(4), 1386–1394. https://doi.org/10.11591/IJERE.V10I4.21942

Nazmihaolah, H., Nabila, S., & Ratnaningsih, N. (2025). Systematic literature review: The effect of learning model on students’ mathematical literacy skills. 9(2024).

Nugraha, S. T. (2021). Does students’ demography cause heterogeneity of students’ mathematical critical thinking abilities through problem-based learning? A meta-analysis. Journal of Hunan University Natural Sciences. http://www.jonuns.com/index.php/journal/article/view/687%0Ahttp://www.jonuns.com/index.php/journal/article/download/687/684

O’Brien, E., Hamburg, I., & Southern, M. (2019). Using technology-oriented, problem-based learning to support global workplace learning. In The Wiley Handbook of Global Workplace Learning (pp. 591–609). wiley. https://doi.org/10.1002/9781119227793.ch31

OCDE. (2023). PISA 2022 results the state of learning and equity in education (Volume I). OECD Publishing. https://doi.org/10.22201/iisue.24486167e.2024.183.61714

Ornawati, V., Hendrastuti, Z. R., Franita, Y., Tidar, U., Kapten, J., No, S., Magelang, K., & Tengah, J. (2023). Pengaruh model pembelajaran problem based learning terhadap kemampuan literasi matematis [The effect of problem-based learning models on mathematical literacy skills]. DELTA : Jurnal Ilmiah Pendidikan Matematika, 11(1), 45–56.

Pamungkas, M. D., & Franita, Y. (2019). Keefektifan problem based learning untuk meningkatkan kemampuan literasi matematis siswa [The effectiveness of problem-based learning in improving students' mathematical literacy skills]. Jurnal Penelitian Penelitian dan Pengajaran Matematika, 5(2), 75–80.

Panda, A. K. (2024). Maintaining ethics, Integrity, and accountability: Best practices for reporting a meta-analysis. Accountability in Research, 1–3. https://doi.org/10.1080/08989621.2024.2334722

Prihatiningtyas, N. C., & Buyung, B. (2023). Kemampuan literasi matematis siswa melalui implementasi model problem based learning berbasis etnomatematika pada budaya Tidayu [Students' mathematical literacy skills through the implementation of an ethnomathematics-based problem-based learning model in Tidayu culture]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 215. https://doi.org/10.24127/ajpm.v12i1.5297

Priyonggo, H. W., Wardono, W., & Asih, T. S. N. (2021). Mathematics literacy skill on problem based learning assisted by e-module agito based on learning motivation. Unnes Journal of Mathematics Education Research, 10(1), 54–58.

Rehman, N., Zhang, W., Mahmood, A., Fareed, M. Z., & Batool, S. (2023). Fostering twenty-first century skills among primary school students through math project-based learning. Humanities and Social Sciences Communications, 10(1). https://doi.org/10.1057/s41599-023-01914-5

Rismayanti, L., & Wahyuni, F. T. (2022). Pengaruh model pembelajaran problem based learning terhadap kemampuan literasi matematis dan self efficacy matematika siswa kelas VII [The effect of problem-based learning models on the mathematical literacy and mathematical self-efficacy of seventh-grade students]. NCOINS: National Conference Of Islamic Natural Science, 2(1), 66–80.

Rojas, E., & Benakli, N. (2020). Mathematical literacy and critical thinking BT - Teaching college-level disciplinary literacy: strategies and practices in STEM and professional studies (J. C. But, Ed.; pp. 197–226). Springer International Publishing. https://doi.org/10.1007/978-3-030-39804-0_8

Rothstein, H. R., Sutton, A. J., & Borenstein, M. (2006). Publication bias in meta-analysis. Publication Bias in Meta-Analysis: Prevention, Assessment and Adjustments, 1–7. https://doi.org/10.1002/0470870168.ch1

Siregar, M. B., & Narpila, S. D. (2023). Influence of problem-based learning model on students’ critical thinking ability and learning motivation in mathematics learning. Numerical: Jurnal Matematika dan Pendidikan Matematika, 7(2), 263–274. https://doi.org/10.25217/numerical.v7i2.3884

Suparman, Juandi, D., & Tamur, M. (2021). Problem-based learning for mathematical critical thinking skills: A meta-analysis. Journal of Hunan University (Natural Sciences, 48(2), 133–144.

Tabun, H. M., Taneo, P. N. L., & Daniel, F. (2020). The ability of student math literation on problem based learning model. Eduma : Mathematics Education Learning and Teaching, 9(1), 43. https://doi.org/10.24235/eduma.v9i1.6036

Voithofer, R. (2012). Genetic literacy and problem-based learning. In The Role of Criticism in Understanding Problem Solving: Honoring the Work of John C. Belland (pp. 197–214). Springer New York. https://doi.org/10.1007/978-1-4614-3540-2_13

Vygotsky, L. S. (1978). Mind in Society: The development of higher psychological processes. (M. Cole, V. Jolm-Steiner, S. Scribner, & E. Souberman, Eds.). Harvard University Press. https://doi.org/10.2307/j.ctvjf9vz4

Wagenmakers, E. J., Love, J., Marsman, M., Jamil, T., Ly, A., Verhagen, J., Selker, R., Gronau, Q. F., Dropmann, D., Boutin, B., Meerhoff, F., Knight, P., Raj, A., van Kesteren, E. J., van Doorn, J., Šmíra, M., Epskamp, S., Etz, A., Matzke, D., … Morey, R. D. (2018). Bayesian inference for psychology. Part II: Example applications with JASP. Psychonomic Bulletin and Review, 25(1), 58–76. https://doi.org/10.3758/s13423-017-1323-7

Wanahari, M., Amry, Z., & Simamora, E. (2022). Development of guided discovery-based learning tools using hypercontent to improve students’ mathematical critical thinking ability. Prima: Jurnal Pendidikan Matematika, 6(2), 100. https://doi.org/10.31000/prima.v6i2.5514

Wardono, W., Mariani, S., Rahayuningsih, R. T., & Winarti, E. R. (2018). Mathematical literacy ability of 9th grade students according to learning styles in Problem Based Learning-Realistic approach with Edmodo. Unnes Journal of Mathematics Education, 7(1), 48–56. https://doi.org/10.15294/ujme.v7i1.22572

Zain, N. K., & Masamah, U. (2023). Experimentation of problem-based learning model assisted by islamic-integrated LKPD on students’mathematical literacy. https://conferences.uinsalatiga.ac.id/index.php/aicoies/article/download/531/246

Zhang, Z. (2024). RUBBISH applied mathematics and nonlinear sciences innovative teaching strategies for aesthetic arts in higher education institutions. Applied Mathematics and Nonlinear Sciences, 9(1), 1–17.

Zotou, M., Tambouris, E., & Tarabanis, K. (2020). Data-driven problem based learning: enhancing problem based learning with learning analytics. Educational Technology Research and Development, 68(6), 3393–3424. https://doi.org/10.1007/S11423-020-09828-8

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Published

31-05-2025

How to Cite

Ahmad Gufron, Isti Hidayah, Ardhi Prabowo, Wardono, & Scolastika Mariani. (2025). The effectiveness of problem-based learning in enhancing mathematical literacy: A systematic meta-analysis. Jurnal Elemen, 11(2), 483–501. https://doi.org/10.29408/jel.v11i2.30002

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