META-ANALYSIS: MENGEVALUASI EFEKTIVITAS PROBLEM BASED LEARNING PADA KEMAMPUAN PEMAHAMAN MATEMATIS SISWA

Yulina Kartika Sari, Dadang Juandi, Maximus Tamur, Angela Merici G Adem

Abstract


Problem-based learning (PBL) has been widely applied as a learning method in mathematics education. This meta-analysis study was conducted to summarize the evidence on the effectiveness of PBL on students' comprehension abilities. An associated database was searched for studies that met the inclusion criteria. The estimation method used a random-effect model with a 95% confidence interval (CI). The study analyzed 35 effect sizes from 22 primary studies published between 2011 and 2020, and for a total of 1993, students were included. The Comprehensive Meta-Analysis (CMA) program was used to assist the analysis. As a result of the study, the overall effect size was 0.790 (moderate effect) with a standard error of 0.181. Analysis of the study characteristics revealed that the application of PBL was more effective in the conditions of the sample size set by 1 - 30 students; lower level of education, and combined with the use of mathematics learning software. These findings become a consideration for mathematics education practitioners for the implementation of PBL in the future.


Keywords


Meta-Analysis; Problem Based Learning; Mathematical Understanding Ability; Study Characteristics

Full Text:

PDF (Bahasa)

References


Afridiani, T., Soro, S., & Faradillah, A. (2020). Pengaruh Model Problem Based Learning (PBL) Berbasis Lembar Kerja Peserta Didik (LKPD) Terhadap Kemampuan Pemahaman Konsep Matematis. Euclid, 7(1), 12. https://doi.org/10.33603/e.v7i1.2532

Alan, U. F., & Afriansyah, E. A. (2017). Kemampuan Pemahaman Matematis Siswa Melalui Model Pembelajaran Auditory Intellectualy Repetition Dan Problem Based Learning. Jurnal Pendidikan Matematika, 11(1). https://doi.org/10.22342/jpm.11.1.3890.67-78

Anugraheni, I. (2018). Meta Analisis Model Pembelajaran Problem Based Learning dalam Meningkatkan Keterampilan Berpikir Kritis di Sekolah Dasar. Polygot, 14(1), 9–18. http://dx.doi.org/10.19166/pji.v14i1.789

Aripin, U. (2015). Meningkatkan Kemampuan Pemahaman Matematik Siswa Smp Melalui Pendekatan Pembelajaran Berbasis Masalah. P2M STKIP Siliwangi, 2(1), 120. https://doi.org/10.22460/p2m.v2i1p120-127.171

Asror, A. H. (2016). Meta-Analisis : PBL. PRISMA Prosiding Seminar Nasional Matematika, 508–513.

Borenstein, M., & Hedges, L. V. (2009). Introduction to Meta-Analysis (first). WILEY A John Wiley and Sons, Ltd, Publication. https://onlinelibrary.wiley.com/doi/book/10.1002/9780470743386

Borenstein, M., Hedges, L. V, & Rothstein, H. R. (2009). Introductionto Meta-Analysis (Issue January). John Wiley & Sons.

Ceker, E., & Ozdamli, F. (2016). Features and characteristics of problem based learning. Cypriot Journal of Educational Sciences, 11(4), 195–202. www.cjes.eu

Coe, R. (2002). It ’ s the Effect Size , Stupid. In Educational Research (Issue September, pp. 1–18).

Cohen, L., Manion, L., & Morrison, K. (2007). Research Methods in Education (7th ed.). Routledge.

Dalim, Rosita, C. D., & Dewi, I. L. K. (2019). Pembelajaran Model Problem Based Learning Terhadap Kemampuan Pemahaman Konsep Matematis Siswa. Snpm, 1(1), 166–173.

Demirel, M., & Dağyar, M. (2016). Effects of Problem-Based Learning on Attitude: A Meta-analysis Stud. EURASIA Journal of Mathematics, Science & Technology Education, 12(8), 2115–2137. https://doi.org/10.12973/eurasia.2016.1293a

Dewimarni, S. (2017). Analisis Kemampuan Komunikasi Dan Pemahaman Konsep Aljabar Linier Pada Mahasiswa Universitas Putra Indonesia ‘YPTK’ Padang. Al-Jabar: Jurnal Pendidikan Matematika, 8(1), 53–62.

Dochy, F., Segers, M., Van den Bossche, P., & Gijbels, D. (2003). Effects of problem-based learning: A meta-analysis. Learning and Instruction, 13(5), 533–568. https://doi.org/10.1016/S0959-4752(02)00025-7

Franzen, M. (2020). Meta-analysis. In H. V. Zeigler & T. . Shackelford (Eds.), Encyclopedia of Personality and Individual Differences (p. 5925). Springer, Cham. https://doi.org/10.1007/978-3-319-24612-3_1326

Freeman-Green, S. M., O’Brien, C., Wood, C. L., & Hitt, S. B. (2015). Effects of the SOLVE strategy on the mathematical problem solving skills of secondary students with learning disabilities. Learning Disabilities Research and Practice, 30(2), 76–90. https://doi.org/10.1111/ldrp.12054

Gijbels, D., Dochy, F., Van Den Bossche, P., & Segers, M. (2005). Effects of problem-based learning: A meta-analysis from the angle of assessment. Review of Educational Research, 75(1), 27–61. https://doi.org/10.3102/00346543075001027

Glass, G. V. (2015). Meta-analysis at middle age: A personal history. Research Synthesis Methods, 6(3), 221–231. https://doi.org/10.1002/jrsm.1133

Green, S. (2005). Systematic Reviews and Meta-Analysis. Evidence-Based Medicine And Healthcare, 46(6), 270–24. https://doi.org/10.1002/9781444345100.ch5

Haidich, A. B. (2010). Meta-analysis in Medical Research. Hippokratia, 14(Supp 1), 29–37. https://pubmed.ncbi.nlm.nih.gov/21487488/

Hasibuan, A. M., Saragih, S., & Amry, Z. (2019). Development of Learning Materials Based on Realistic Mathematics Education to Improve Problem Solving Ability and Student Learning Independence. International Electronic Journal of Mathematics Education, 14(1), 243–252. https://doi.org/10.29333/iejme/4000

Hidayat, R., & Nurrohmah. (2016). Analisis Peningkatan Kemampuan Pemahaman Konsep Matematis Siswa Mts Lewat Penerapan Model Pembelajaran Problem Based Learning Berbantuan Software Geogebra Berdasarkan Kemampuan Awal Matematika. Jppm, 9(1).

Higgins, S., & Katsipataki, M. (2015). Evidence from meta-analysis about parental involvement in education which supports their children’s learning. Journal of Children’s Services, 10(3), 280–290. https://doi.org/10.1108/JCS-02-2015-0009

Jacinto, H., & Carreira, S. (2017). Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra. International Journal of Science and Mathematics Education, 15(6), 1115–1136. https://doi.org/10.1007/s10763-016-9728-8

Juandi, D., Kusumah, Y. S., Tamur, M., Perbowo, K. S., Siagian, M. D., Sulastri, R., & Negara, H. R. P. (2021). The Effectiveness of Dynamic Geometry Software Applications in Learning Mathematics: A Meta- Analysis Study. International Journal Interactive Mobile Technologies, 15(02), 18–37. https://doi.org/10.3991/ijim.v15i02.18853

Ke, F., & Clark, K. M. (2020). Game-Based Multimodal Representations and Mathematical Problem Solving. International Journal of Science and Mathematics Education, 18(1), 103–122. https://doi.org/10.1007/s10763-018-9938-3

Khan, S. (2020). Meta-Analysis. In S. Khan (Ed.), Meta-Analysis (First). Springer Nature Singapore Pte Ltd. https://doi.org/10.1007/978-981-15-5032-4

Kusmaryono, I. (2014). The importance of mathematical power in mathematics learning. International Conference on Mathematics, Sciense, and Education, May, 35–40.

Lambertus. (2016). Developing skills understanding of mathematical. International Journal of Education and Research, 4(7), 315–326. https://www.ijern.com/journal/2016/July-2016/25.pdf

Marlena, L., & Nugrheni, E. A. (2019). Probit Regression Analysis in Estimating the Effect of Learning Assisted by Cabri 3D on Students’ Mathematical Understanding Ability. Al-Jabar : Jurnal Pendidikan Matematika, 10(2), 319–326. https://doi.org/10.24042/ajpm.v10i2.4729

Minarni, A., Napitupulu, E. E., & Husein, R. (2016). Mathematical understanding and representation ability of public junior high school in North Sumatra. Journal on Mathematics Education, 7(1), 43–56. https://doi.org/10.22342/jme.7.1.2816.43-56

Muhsin, & Taufiq. (2019). Pembelajaran Berbasis Masalah Untuk Meningkatkan Kemampuan Pemahaman Matematis Siswa. Journal of Didactic Mathematics, 1(1), 542–553. https://doi.org/10.34007/jdm.v1i1.148

Mullen, B., Muellerleile, P., & Bryant, B. (2001). Cumulative meta-analysis: A consideration of indicators of sufficiency and stability. Personality and Social Psychology Bulletin, 27(11), 1450–1462. https://doi.org/10.1177/01461672012711006

Munawaroh, L., & Deniyanti Sampoerno, P. (2018). Pengaruh Problem Based Learning Terhadap Kemampuan Penalaran Matematis Dan Kemampuan Pemahaman Konsep Matematika Ditinjau Dari Kemampuan Awal Matematika. Prosiding Seminar Dan Diskusi Nasional Pendidikan Dasar.

NCTM. (2000). Principles for School Mathematics. Reston: National Council of Teacher of Mathematics. https://www.nctm.org/uploadedFiles/Standards_and_Positions/PSSM_ExecutiveSummary.pdf

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

Pigott, T. D. (2012). Advances in Meta-Analysis. In Statistics for Social and Behavioral Sciences. Springer New York Dordrecht Heidelberg London. https://doi.org/10.1007/978-1-4614-2278-5

Prahmana, R. C. I. (2013). Designing Division Operation Learning In The Mathematics. The First South East Asia Design/Development Research (SEA-DR), April 2013, 391–398.

Qin, Y., Wang, Y., & Floden, R. E. (2016). The Effect of Problem-Based Learning on Improvement of the Medical Educational Environment: A Systematic Review and Meta-Analysis. Medical Principles and Practice, 25(6), 525–532. https://doi.org/10.1159/000449036

Rahmadani, H., & Acesta, A. (2017). Pengaruh Penerapan Model Pembelajaran Problem Based Learning Terhadap Pemahaman Konsep Siswa. Jurnal Sekolah Dasar, 2(1), 9. https://doi.org/10.1017/CBO9781107415324.004

Rosli, R., Capraro, M. M., & Capraro, R. M. (2014). The effects of problem posing on student mathematical learning: A meta-analysis. International Education Studies, 7(13), 227–241. https://doi.org/10.5539/ies.v7n13p227

Sari, W. P., Harman, H., & Aisyah, A. (2019). Perbandingan Kemampuan Pemahaman Konsep Matematis Siswa Dengan Model Pembelajaran Inquiry Learning Dan Model Pembelajaran Problem Based Learning Pada Siswa Kelas Vii Smpn 5 Kota Jambi. PHI: Jurnal Pendidikan Matematika, 3(1), 46. https://doi.org/10.33087/phi.v3i1.64

Schmidt, F. L., & Hunter, J. E. (2015). Methods of Meta-Analysis: Correcting Error and Bias in Research Findings (Third). 55 City Road, London: SAGE Publications, Ltd. https://doi.org/10.4135/9781483398105

Siddaway, A. P., Wood, A. M., & Hedges, L. V. (2019). How to Do a Systematic Review: A Best Practice Guide for Conducting and Reporting Narrative Reviews, Meta-Analyses, and Meta-Syntheses. Annual Review of Psychology, 70(1), 747–770. https://doi.org/10.1146/annurev-psych-010418-102803

Siregar, N., Armanto, D., & Saragih, S. (2011). Penerapan Pembelajaran Berbasis Masalah Untuk Meningkatkan Pemahaman Konsep Dan Pengetahuan Prosedural Matematika Siswa Smp. Jurnal Pendidikan Matematika, 5(2), 137–150.

Stanley, T. D., Doucouliagos, H., Giles, M., Heckemeyer, J. H., Johnston, R. J., Laroche, P., Nelson, J. P., Paldam, M., Poot, J., Pugh, G., Rosenberger, R. S., & Rost, K. (2013). Meta-analysis of economics research reporting guidelines. Journal of Economic Surveys, 27(2), 390–394. https://doi.org/10.1111/joes.12008

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, 1772(1), 012103. https://doi.org/10.1088/1742-6596/1722/1/012103

Supriatna, R., & Afriansyah, E. A. (2017). Kemampuan Pemahaman Matematis Peserta Didik Melalui Cooperative Learning Tipe Pair Checks Vs Problem Based Learning. Jurnal Ilmu Pendidikan Fisika, 3(1), 1–6. https://doi.org/10.1016/j.profnurs.2007.01.018

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), 145–154. https://doi.org/10.31764/jtam.v4i2.2481

Tamur, M, Jehadus, E., Nendi, F., Mandur, K., & Murni, V. (2020). Assessing the effectiveness of the contextual teaching and learning model on students ’ mathematical understanding ability : a meta-analysis study. Journal of Physics: Conference Series, 1657(1), 012067. https://doi.org/10.1088/1742-6596/1657/1/012067

Tamur, M, & Juandi, D. (2020). Effectiveness of Constructivism Based Learning Models Against Students Mathematical Creative Thinking Abilities in Indonesia: A Meta-Analysis Study. Pervasive Health: Pervasive Computing Technologies for Healthcare, 1, 107–114. https://doi.org/10.4108/eai.12-10-2019.2296507

Tamur, Maximus, Jehadus, E., Negara, H. R. P., Siagian, M. D., Marzuki, M., & Sulastri, R. (2021). Pembelajaran Selama Krisis COVID - 19 : Meta - Analisis dari Sudut Hasil Belajar yang Diukur. Jurnal Riset Teknologi Dan Inovasi Pendidikan (JARTIKA), 4(1), 101–108. https://doi.org/10.36765/jartika.v4i1.413

Tamur, Maximus, Juandi, D., & Adem, A. M. G. (2020). Realistic Mathematics Education in Indonesia and Recommendations for Future Implementation : A Meta-Analysis Study. Jurnal Teori Dan Aplikasi Matematika, 4(1), 17–27. https://doi.org/10.31764/jtam.v4i1.1786

Tamur, Maximus, 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

Turgut, S., & Turgut, I. G. (2018). The Effects of Cooperative Learning on Mathematics Achievement in Turkey: A Meta-Analysis Study. International Journal of Instruction, 11(3), 663–680. https://doi.org/10.12973/iji.2018.11345a

Wang, J., Xu, Y., Liu, X., Xiong, W., Xie, J., & Zhao, J. (2016). Assessing the effectiveness of problem-based learning in physical diagnostics education in China: A meta-analysis. Scientific Reports, 6(May), 1–7. https://doi.org/10.1038/srep36279

Wardhani, R. A., Coesamin, M., & Caswita. (2016). Efektivitas Problem Based Learning Ditinjau Dari Pemahaman Konsep Matematis Siswa. Jurnal Pendidikan Matematika Universitas Lampung, 4(1), 1–8.

Warniasih, K. (2018). Efektivitas Model Problem Based Learning Ditinjau Dari Pemahaman Konsep Matematika Siswa Kelas Vii Sekolah Menengah Pertama. AKSIOMA : Jurnal Matematika Dan Pendidikan Matematika, 9(2), 92. https://doi.org/10.26877/aks.v9i2.2911

White, I. R. (2015). Network meta-analysis. The Stata Journal, 4, 951–985. https://doi.org/10.1177/1536867X1501500403

Yanto, F., Festiyed, F., Iswri, M., & Enjoni, E. (2019). Meta-Analysis: Improving Creativity through Assessment in a Problem-Based Learning Environment. 178(ICoIE 2018), 23–26. https://doi.org/10.2991/icoie-18.2019.6

Yunita, 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




DOI: https://doi.org/10.30862/jhm.v4i1.144

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.


Indexed by:

  


Journal of Honai Math
Universitas Papua
Jalan Gunung Salju, Amban,
Manokwari, Papua Barat - 98314
Telp. (0986) 211 430; Fax. (0986) 211 430
Email: journal.honai.math@unipa.ac.id


p-ISSN: 2615-2185 | e-ISSN: 2615-2193


This work is licensed under a Creative Commons Attribution 4.0 International License

View My Stats