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Jurnal Riset Pendidikan Matematika

Keywords

Mathematics reasoning, meta analysis, problem based learning

Document Type

Article

Abstract

Problem-Based Learning has been studied over three decades in various subjects and schools, This meta-analysis study aimed to synthesize the most recent findings of the effect of Problem-Based Learning (PBL), specifically on students' mathematical reasoning ability. The data were obtained from relevant primary studies published in national and international journals or proceedings during 2014-2021. Ten effect sizes from eight studies that fulfilled the inclusion criteria were analyzed using a systematic review and meta-analysis. JASP 0.15.0.0 software was used to measure the formula of Hedges g to determine the effect size. The result showed that PBL has a strong effect on students' mathematical reasoning ability (g­­RE = 2.062, 95% CI [1.436, 2.689], p < 0.001) when compared to traditional learning. The results of the analysis of moderator variables revealed that publication year (Qb = 5.460, p < 0.05) and sampling technique (Qb = 9.032, p < 0.05) had significant effect on the effectiveness of PBL on students' mathematical reasoning ability, while educational levels (Qb = 1.649, p > 0.05), sample size (Qb = 2.081, p > 0.05) and publication sources (Qb = 0.573, p > 0.05) did not show any significant effect. The result of this study provides important information for further meta-analysis study and the implementation of PBL in mathematics learning.

Page Range

36-45

Issue

1

Volume

9

Digital Object Identifier (DOI)

10.21831/jrpm.v9i1.46447

Source

https://journal.uny.ac.id/index.php/jrpm/article/view/46447

References

Abidin, Z., Sutama, Herman, T., Jupri, A., Farokhah, L., Apuanor, & Sonedi. (2021). Gifted children’s mathematical reasoning abilities on problem-based learning and project-based learning literacy. Journal of Physics: Conference Series, 1720(1), 1–6. https://doi.org/10.1088/1742- 6596/1720/1/012018

Awan, R. N., Hussain, H., & Anwar, N. (2017). Effects of problem-based learning on students’ critical thinking skills, attitudes towards learning and achievement. Journal of Educational Research, 20(2), 28–41. http://jer.iub.edu.pk/journals/JER-Vol-20.No- 2/3_Effects_of_Problem_Based_Learning_on_Students’_Critical_Thinking_Skills,_Attitudes_to wards_Learning_and_Achievement.pdf

Barrody, A. J. (1993). Problem solving, reasoning, and communicating, k-8 helping children think mathematically. Macmillan Publishing Company.

Bernard, R. M., Borokhovski, E., Schmid, R. F., Tamim, R. M., & Abrami, P. C. (2014). A meta-analysis of blended learning and technology use in higher education: from the general to the applied. Journal of Computing in Higher Education, 26(1), 87–122. https://doi.org/10.1007/s12528-013- 9077-3

Bieda, K. N., Ji, X., Drwencke, J., & Picard, A. (2013). Reasoning and proving opportunities in elementary mathematics textbooks. International Journal of Educational Research, 64, 71–80. https://doi.org/10.1016/j.ijer.2013.06.005

Borenstein, M., Hedges, L. V., Higgins, J. P. T., & Rothstein, H. R. (2009). Introduction to meta- analysis. John Willey and Son Ltd.

Cumming, G. (2012). Understanding the new statistics: Effect sizes, confidence intervals, and meta- analysis. Routledge Taylor & Francis Group.

Elvis Napitupulu, E., Suryadi, D., & Kusumah, Y. S. (2016). Cultivating upper secondary students’ mathematical reasoning-ability and attitude towards mathematics through problem-based learning. Journal on Mathematics Education, 7(2), 117–128. https://doi.org/10.22342/jme.7.2.3542.117- 128

Etikan, I., & Bala, K. (2017). Sampling and sampling methods. Biometrics & Biostatistics International Journal, 5(6), 215–217. https://doi.org/10.15406/bbij.2017.05.00149

Hendriana, H., Rohaeti, E. E., & Sumarmo, U. (2017). Hard skills dan soft skills matematik siswa. PT. Refika Aditama.

Lestari, P., Mardiyana, & Slamet, I. (2021). The need analysis of mathematics module based on problem-based learning to improve reasoning ability. Journal of Physics: Conference Series, 1776, 1–9. https://doi.org/10.1088/1742-6596/1776/1/012025

Madio, S. S. (2016). Pengaruh pembelajaran berbasis masalah terhadap kemampuan penalaran dan komunikasi matematis siswa smp dalam matematika. Jurnal Pendidikan Matematika, 10(2), 1–16. https://doi.org/10.22342/jpm.10.2.3637.93-108

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

OECD. (2018). PISA 2018 result. https://www.oecd.org/pisa/publications/pisa-2018-results.htm Paloloang, M. F. B., Juandi, D., Tamur, M., Paloloang, B., & Adem, A. M. G. (2020). Meta analisis:

pengaruh problem-based learning terhadap kemampuan literasi matematis siswa di indonesia tujuh tahun terakhir. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 851–864. https://doi.org/10.24127/ajpm.v9i4.3049

Retnawati, H., Apino, E., Kartianom, Djidu, H., & Anazifa, R. D. (2018). Pengantar analisis meta (Pertama). Parama Publishing.

Sánchez-Meca, J., & Marín-Martínez, F. (1998). Testing continuous moderators in meta-analysis: A comparison of procedures. British Journal of Mathematical and Statistical Psychology, 51(2), 311–326. https://doi.org/10.1111/j.2044-8317.1998.tb00683.x

Santosa, F. H., Negara, H. R. P., & Samsul Bahri. (2020). Efektivitas pembelajaran google classroom terhadap kemampuan penalaran matematis siswa. Jurnal Pemikiran Dan Penelitian Pendidikan Matematika (JP3M), 3(1), 62–70. https://doi.org/10.36765/jp3m.v3i1.254

Sari, M. P., Susanto, Yuliati, N., Imamah, E. N., & Laily, N. I. (2020). The students’ mathematical reasoning ability based on problem based learning model. Journal of Physics: Conference Series, 1538, 1–12. https://doi.org/10.1088/1742-6596/1538/1/012078

Siddiq, F., & Scherer, R. (2019). Is there a gender gap? A meta-analysis of the gender differences in students’ ICT literacy. Educational Research Review, 27, 205–217. https://doi.org/10.1016/j.edurev.2019.03.007

Sugandi, A. I., Bernard, M., & Linda, L. (2020). Efektivitas pembelajaran daring berbasis masalah berbantuan geogebra terhadap kemampuan penalaran matematis di era Covid-19. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 993. https://doi.org/10.24127/ajpm.v9i4.3133

Sumartini, T. S. (2015). Peningkatan kemampuan penalaran matematis siswa melalui pembelajaran berbasis masalah. Mosharafa: Jurnal Pendidikan Matematika, 5(1), 1–10. https://journal.institutpendidikan.ac.id/index.php/mosharafa/article/view/mv4n1_1/244

Suparman, Juandi, D., & Tamur, M. (2021). Review of problem-based learning trends in 2010-2020: A meta-analysis study of the effect of problem-based learning in enhancing mathematical problem- solving skills of Indonesian students. Journal of Physics: Conference Series, 1722(1), 1–10. https://doi.org/10.1088/1742-6596/1722/1/012103

Suparman, Yohannes, & Arifin, N. (2021). Enhancing mathematical problem-solving skills of Indonesian junior high school students through problem-based learning: a systematic review and meta-analysis. Al-Jabar : Jurnal Pendidikan Matematika, 12(1), 1–16. https://doi.org/10.24042/ajpm.v12i1.8036

Susanti, N., Juandi, D., & Tamur, M. (2020). The effect of problem-based learning (PBL) model on mathematical communication skills of junior high school students – a meta-analysis study. JTAM (Jurnal Teori Dan Aplikasi Matematika), 4(2), 145. https://doi.org/10.31764/jtam.v4i2.2481

Syafrizal, A., Syahputra, E., & Irvan, I. (2020). Differences in increasing the ability of reasoning in problem based learning model and computer-based group investigation. Malikussaleh Journal of Mathematics Learning (MJML), 3(2), 51. https://doi.org/10.29103/mjml.v3i2.2422

Syazali, M., Listiani, B., & Farid, F. (2019). Problem based learning (PBL) and guided discovery learning (GDL) effects of mathematical reasoning capability analysis for gifted students. Journal of Gifted Education and Creativity, 6(3), 209–216. https://dergipark.org.tr/en/pub/jgedc/issue/50605/635401

Tamur, M., Juandi, D., & Kusumah, Y. S. (2020). The effectiveness of the application of mathematical software in indonesia; a meta-analysis study. International Journal of Instruction, 13(4), 867–884. https://doi.org/10.29333/iji.2020.13453a

Young, J. R. (2017). Technology integration in mathematics education: examining the quality of meta- analytic research. International Journal on Emerging Mathematics Education, 1(1), 71–86. https://doi.org/10.12928/ijeme.v1i1.5713

Young, J. R., Ortiz, N., & Young, J. L. (2016). STEMulating interest: A meta-analysis of the effects of out-of-school time on student STEM interest. International Journal of Education in Mathematics, Science and Technology, 5(1), 62–74. https://doi.org/10.18404/ijemst.61149

Yunita, Y., Juandi, D., Tamur, M., Adem, A. M. G., & Pereira, J. (2020). A meta-analysis of the effects of problem-based learning on students’ creative thinking in mathematics. Beta: Jurnal Tadris Matematika, 13(2), 104–116. https://doi.org/10.20414/betajtm.v13i2.380

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