The Effect of Realistic Mathematics Education in Enhancing Indonesian Students' Mathematical Reasoning Ability: A Meta-Analysis

Authors

  • Chelsi Ariati Departement of Mathematics Education, Universitas Pendidikan Indonesia
  • Dadang Juandi Departement of Mathematics Education, Universitas Pendidikan Indonesia
  • Aan Hasanah Departement of Mathematics Education, Universitas Pendidikan Indonesia
  • Suparman Suparman Departement of Mathematics Education, Universitas Pendidikan Indonesia

DOI:

https://doi.org/10.31764/jtam.v7i2.12493

Keywords:

Mathematical Reasoning, Meta-Analysis, Realistic Mathematics Education,

Abstract

Many researchers have carried out meta-analysis studies related to realistic mathematics education (RME) to enhance mathematical ability. However, their research does not focus on mathematical reasoning ability (MRA). This study aims to estimate and examine the effect of RME implementation in enhancing the MRA of Indonesian students, as well as to explore the moderating factors that influence students' heterogeneous MRA. The meta-analysis examined twenty-five relevant primary research published in national and international journals and sessions between 2010 and 2022. The steps of this research are formulate the problem, inclusion criteria, literature search strategy, study selection, data extraction, statistics analysis, interpretation and reporting. To calculate the effect size, the analytical tool employed the Comprehensive Meta-Analysis (CMA) program using the Hedge formula. Based on the random effect model, the total RME implementation had a very high effect (g = 1,064; p<0,05), significantly enhancing the MRA of Indonesian students. Furthermore, class capacity, educational level, and technological assistance did not influence students' heterogeneous MRA in the RME. These findings imply that Indonesian math educators should consider RME as one of the best ways to implement mathematics learning in the classroom to enhance students' MRA.

 

References

A Herwati. (2015). Efektifitas pendekatan realistik dalam meningkatkan kemampuan penalaran matematika di SMA Negeri 1 Tembilahan Inhil Riau. Efektiftas Pendidikan, 4(1), 13.

Alvira, L. D. (2021). Perbedaan Pendekatan Konstruktivis Dan Pendekatan Matematika Realistik Terhadap Kemampuan Berpikir Logis Siswa Smp Muhammadiyah 01 Medan. Duconomics Sci-Meet (Education & Economics Science Meet), 1, 137–143. https://doi.org/10.37010/duconomics.v1.5430

Anita, F. D. (2020). Penerapan Pendekatan Realistic Mathematics Education (Rme) Melalui Perangkat Pembelajaran Terhadap Motivasi Belajar Matematika Siswa. Jurnal PEKA (Pendidikan Matematika), 3(2), 54–59. https://doi.org/10.37150/jp.v3i2.787

Apriani, D., Mujib, M., & Pratiwi, D. D. (2019). The Influence of Realistic Mathemathic Education Model on Mathematical Reasoning Ability Viewed from Student Learning Styles. ZERO: Jurnal Sains, Matematika Dan Terapan, 3(1), 12. https://doi.org/10.30829/zero.v3i1.5885

Ardiniawan, D. Y., Subiyantoro, S., & Kurniawan, S. B. (2022). Peningkatan Kemampuan Penalaran Matematis Siswa Sekolah Dasar Melalui Pendekatan Realistic Mathematics Education ( RME ) Siswa SD Se-Kecamatan Pacitan. Seminar Nasional Hasil Riset Dan Pengabdian, 4(April), 607–613.

Ariati, C., & Juandi, D. (2022a). Kemampuan Penalaran Matematis: Systematic Literature Review. LEMMA: Letters of Mathematics Education, 8(2), 61–75. https://ejournal.upgrisba.ac.id/index.php/jurnal-lemma/article/view/5745

Ariati, C., & Juandi, D. (2022b). Pengaruh Pendekatan Realistic Mathematics Education terhadap Penalaran Matematis: Systematic Literatur Review. 5(5), 1535–1550. https://doi.org/10.22460/jpmi.v5i5.1535-1550

Barnes, A. (2019). Perseverance in mathematical reasoning: the role of children’s conative focus in the productive interplay between cognition and affect. Research in Mathematics Education, 21(3), 271–294. https://doi.org/10.1080/14794802.2019.1590229

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

Borenstein. (2009). Introduction to Meta-Analysis. In International Statistical Review (Vol. 77, Issue 3). https://doi.org/10.1111/j.1751-5823.2009.00095_15.x

Bragg, L. A., Herbert, S., Loong, E. Y. K., Vale, C., & Widjaja, W. (2016). Primary teachers notice the impact of language on children’s mathematical reasoning. Mathematics Education Research Journal, 28(4), 523–544. https://doi.org/10.1007/s13394-016-0178-y

Cheung, M. W. . (2015). Meta-Analysis: A Structural Equation Modeling Approach. John Wiley & Sons, Ltd.

Cooper, H. (2017). Research Synthesis and Meta-Analysis A Step-by-Step Approach.

Dani, S., Pujiastuti, H., & Sudiana, R. (2017). Pendekatan Realistic Mathematics Education Untuk Meningkatkan Kemampuan Generalisasi Matematis Siswa. Jurnal Penelitian Dan Pembelajaran Matematika, 10(2), 182–193. https://doi.org/10.30870/jppm.v10i2.2043

Fajriani, A. N., Dahlan, J. A., & Usdiyana, D. (2020). Penerapan Pendekatan Pendidikan Matematika Realistik Indonesia untuk Pencapaian Kemampuan Penalaran Induktif Matematis Siswa. Journal on Mathematics Education, 1(1), 20–27.

Fajriani, A. N., Dahlan, J. A., Usdiyana, D., Matematika, D. P., & Indonesia, U. P. (2020). Indonesia Untuk Pencapaian Kemampuan Penalaran Induktif. Journal on Mathematics Education, 1(1), 20–27.

Fatmawati, F., & Hasanah, K. A. (2018). Pengaruh Pendekatan Pendidikan Matematika Realistik terhadap Kemampuan Penalaran Spasial pada Materi Volume dan Luas Permukaan. Jurnal Penelitian Pendidikan Matematika, 2(2), 102–111.

Fauzan, S., Rika, D. A. N., & Mustika, M. (2018). Upaya Meningkatkan Kemampuan Penalaran Matematis Dengan Pendekatan Realistic Mathematic Education Pada Siswa Kelas VII SMPN 1 Karawang Barat. Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika, 383–394. https://journal.unsika.ac.id/index.php/sesiomadika/article/view/2117

Fauziyah, F., Zulkardi, Z., & Putri, R. I. I. (2016). Desain Pembelajaran Materi Belah Ketupat Menggunakan Kain Jumputan Palembang untuk Siswa Kelas VII. Kreano, Jurnal Matematika Kreatif-Inovatif, 7(1), 31–40. https://doi.org/10.15294/kreano.v7i1.4829

Febrian, H. (1386). Pendekatan Matematika Realistik terhadap Penalaran Matematis pada Materi Perbandingan SMP. 1–10.

Febrian, H., Hartoyo, A., & Suratman, D. (2016). Pendekatan Matematika Realistik terhadap Penalaran Matematis pada Materi Perbandingan SMP. Khatulistiwa: Jurnal Pendidikan Dan Pembelajaran, 5(7), 1–10.

Fendrik, M. (2021). Pengaruh Pendekatan Realistic Mathematics Education Terhadap Kemampuan Penalaran Matematis Siswa SD Ditinjau Dari Kemampuan Siswa Dan Level Sekolah. Numeracy, 8(2), 102–112. https://doi.org/10.46244/numeracy.v8i2.1611

Fuadi, R., Johar, R., & Munzir, S. (2016). Peningkatkan Kemampuan Pemahaman dan Penalaran Matematis melalui Pendekatan Kontekstual. Jurnal Didaktik Matematika, 3(1), 47–54.

Furuya-Kanamori, L., & Doi, S. A. R. (2020). Meta-analysis: Methods for Health and Experimental Studies (p.293). Springer Nature Singapore Pte LTD.

Gravemeijer, K., & Terwel, J. (2000). Hans Freudenthal: A mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777–796. https://doi.org/10.1080/00220270050167170

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

Hartriani, N., & Veronica, R. . (2015). Keefektifan Model Pembelajaran Two Stay Two Stray Berbasis Realistic Mathematics Education Terhadap Kemampuan Penalaran Matematik. Unnes Journal of Mathematics Education., 4(1), 69–76.

Harwell, M. (2020). Growth in the amount of literature reviewed in a meta-analysis and reviewer resources. Mid-Western Educational Researcher, 32(1), 31–47.

Heuvel-panhuizen, M. Van Den. (2003). The Didactical Use of Models in Realistic Mathematics Education: An Example from a Longitudinal Trajectory on Percentage. Educational Studies in Mathematics, 54(1), 9–35. http://www.ncbi.nlm.nih.gov/pubmed/2499633

Hunter, J. E., & Schmidt, F. L. (2004). Methods of Meta-Analysis. SAGE Publications Inc.

Juandi, D., Kusumah, Y. S., & Tamur, M. (2022). A Meta-Analysis of the last two decades of realistic mathematics education approaches. International Journal of Instruction, 15(1), 381–400. https://doi.org/10.29333/iji.2022.15122a

Juandi, D., & Tamur, M. (2020). Pengantar Analisis Meta. UPI PRESS.

Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it Up. National Academy Press.

Kusumaningrum, D. S. (2016). Peningkatan kemampuan penalaran dan kemandirian belajar matematik melalui pendidikan matematika realistik indonesia (PMRI) [Improving reasoning ability and self-regulated in learning mathematics through Indonesian realistic mathematics education]. Jurnal Buana Ilmu, 1(1), 10–20. https://journal.ubpkarawang.ac.id/index.php/BuanaIlmu/article/view/94

Laurens, T., Batlolona, F. A., Batlolona, J. R., & Leasa, M. (2018). How does realistic mathematics education (RME) improve students’ mathematics cognitive achievement? Eurasia Journal of Mathematics, Science and Technology Education, 14(2), 569–578. https://doi.org/10.12973/ejmste/76959

Lestari, Prahmana, & Wiyanti. (2016). Peningkatan Kemampuan Penalaran Matematis Siswa Menggunakan Pendekatan Pendidikan Matematika Realistik. Jurnal Inovasi Pendidikan Dasar, 1(2), 25–30. https://www.researchgate.net/profile/Rully_Prahmana/publication/304022469_PENINGKATAN_KEMAMPUAN_PENALARAN_MATEMATIS_SISWA_MENGGUNAKAN_PENDEKATAN_PENDIDIKAN_MATEMATIKA_REALISTIK/links/5763a4e508ae192f513e458e.pdf

Lestari, W., & Jailani. (2018). Enhancing an Ability Mathematical Reasoning through Metacognitive Strategies. Journal of Physics: Conference Series, 1097(1). https://doi.org/10.1088/1742-6596/1097/1/012117

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. (2009a). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate healthcare interventions: explanation and elaboration. BMJ (Clinical Research Ed.), 339. https://doi.org/10.1136/bmj.b2700

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. (2009b). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate healthcare interventions: explanation and elaboration. BMJ (Clinical Research Ed.), 339. https://doi.org/10.1136/bmj.b2700

Litte, J. H., Corcoran, J., & Pillai, V. (2008). Systematic Review and Data Analysis. Oxford University Press. https://doi.org/https//doi.org/10.1016/j.medine.2017.10.012

Mendrofa, R. N. (2021). Pengaruh Metode Pembelajaran Realistic Mathematics Education (RME) Terhadap Kemampuan Nalar Siswa Pada Kelas X SMK Negeri 1 Gunung Sitoli Alooa. Warta Dharmawangsa, 15(1), 104–113. https://doi.org/10.46576/wdw.v15i1.1053

Merina, M., Imswatama, A., & Lukman, H. S. (2019). Penerapan Pendekatan Pendidikan Matematika Realistik terhadap Kemampuan Pemahaman Konsep dan Penalaran Matematis Siswa. Jurnal Tadris Matematika, 2(1), 23–30. https://doi.org/10.21274/jtm.2019.2.1.23-30

Nasution, S. A., & Dur, S. (2017a). Pengaruh Pendekatan Matematika Realistik terhadap Kemampuan Penalaran Matematika Siswa di Kelas VII SMP Yayasan Pendidikan Islam Deli Tua TA. 2016/2017. AXIOM : Jurnal Pendidikan Dan Matematika, 13(3), 1576–1580.

Nasution, S. A., & Dur, S. (2017b). Pengaruh Pendekatan Matematika Realistik terhadap Kemampuan Penalaran Matematika Siswa di Kelas VII SMP Yayasan Pendidikan Islam Deli Tua TA. 2016/2017. AXIOM : Jurnal Pendidikan Dan Matematika, 6(2), 1–12. https://doi.org/10.1016/j.addr.2018.07.012%0Ahttp://www.capsulae.com/media/Microencapsulation - Capsulae.pdf%0Ahttps://doi.org/10.1016/j.jaerosci.2019.05.001

Navel Oktaviandy Mangelep, D. F. K. (2018). Penerapan Pembelajaran Matematika Realistik untuk Meningkatkan Kemampuan Adaptive Reasoning Siswa. Jurnal Pendidikan Matematika, 7(3), 455–466. https://scholar.google.co.id/citations?view_op=view_citation&hl=id&user=_G_bSGAAAAAJ&citation_for_view=_G_bSGAAAAAJ:9yKSN-GCB0IC

NCTM. (2014). Six Principles for School Mathematics. National Council of Teachers of Mathematics, 1–6. http://www.nctm.org/uploadedFiles/Math_Standards/12752_exec_pssm.pdf

Nugraha, T., & Suparman, S. (2021). Heterogeneity of Indonesian primary school students’ mathematical critical thinking skills through problem-based learning: A meta-analysis. Al-Jabar : Jurnal Pendidikan Matematika, 12(2), 315–328. https://doi.org/10.24042/ajpm.v12i2.9645

Nuraida, I. (2018). Penerapan Pembelajaran Matematika Realistik untuk Meningkatkan Kemampuan Adaptive Reasoning Siswa. Mosharafa Jurnal Pendidikan MatematikaJurnal Pendidikan Matematika, 7(1), 25–32.

Nurhafizah, & Fauzan, A. (2019). Pengaruh Penerapan Pendekatan Realistic Mathematics Education Terhadap Kemampuan Penalaran Matematis Peserta Didik Di Kelas XII IPA SMA Pertiwi 1 Padang. Jurnal Edukasi Dan Penelitian Matematika, 8(4), 96–102.

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 Universitas Pendidikan Indonesia , Bandung , Indonesia Universitas Katolik Indonesia Santu Paulus Ruteng , Indonesia Universitas. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 851–864.

Pertiwi, C. M. (2019). Enhancing mathematical reasoning ability and self confidence students’ through realistic mathematics education approach with geogebra. National Conference on Mathematics Education, 1(1), 30–37.

Putri, F. M. (2013). Pengaruh Pembelajaran Matematika Realistik Terhadap Kemampuan Penalaran Matematis Siswa Smp. Edumatica: Jurnal Pendidikan Matematika, 3(1), 19–26.

Raharjo, M. S., Azhar, E., & Faradillah, A. (2018). Pengaruh Model Pembelajaran Realistic Mathematics Education (Rme) Terhadap Kemampuan Penalaran Matematis Siswa. Seminar Nasional Pendidikan Matematika 2018, 01, 19–29.

Septianawati, E., & Abdillah, E. (2020). Efektivitas Pendekatan Realistik Terhadap Kemampuan Penalaran Matematis Mahasiswa. Sainsteknopak, 2015, 49–53. http://ejournal.unhasy.ac.id/index.php/SAINSTEKNOPAK/article/view/1360

Shelby, L. B., & Vaske, J. (2008). Understanding meta-analysis: A review of the methodological literature. Leisure Sciences, 30(2), 96–110. https://doi.org/10.1080/01490400701881366

Shoffa, S. (2022). Meta Analisis Pendekatan Realistic Mathematic Education Terhadap Kemampuan Berpikir Kritis Siswa. Vygotsky: Jurnal Pendidikan Matematika Dan Matematika, 4(2), 105–116. https://doi.org/https://doi.org/10.30736/voj.v4i2.571

Siallagan, F., Sinaga, B., & Rajagukguk, W. (2021). Analisis Kemampuan Penalaran dan Berpikir Kreatif Matematis Siswa dalam Pembelajaran Penemuan Terbimbing. Paradikma Jurnal Pendidikan Matematika, 14(1), 68–74.

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(July), 747–770. https://doi.org/10.1146/annurev-psych-010418-102803

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(June 2018), 205–217. https://doi.org/10.1016/j.edurev.2019.03.007

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

Thalheimer, W., & Cook, S. (2002). How to calculate effect sizes from published research. Work-Learning Research, 1(August), 1–9.

Triyani, M. (2017). Pengaruh Pendekatan Pendidikan Matematika Realistik Indonesia (PMRI) Terhadap Kemampuan Penalaran Matematis MTs Negeri 1 Model Palembang. http://repository.radenfatah.ac.id/id/eprint/3221

Turgut, G. İ. (2022). Gerçekçi Matematik Eğitiminin Türk Öğrencilerin Matematik Tutumlarına Etkisi: Bir Meta-Analiz. Bartın University Journal of Faculty of Education, 11(2), 446–460. https://doi.org/10.14686/buefad.987649

Turgut, S. (2021). A Meta-Analysis of the Effects of Realistic Mathematics Education-based Teaching on Mathematical Achievement of Students in Turkey. Journal of Computer and Education Research, 9(17), 300–326. https://doi.org/10.18009/jcer.844906

Wajdih, M. F., Kusumayanti, A., Latuconsina, N. K., & Nursalam, N. (2020). Meta-Analisis Pembelajaran Realistic Mathematics Education (Rme) Terhadap Hasil Belajar Matematika. Al Asma : Journal of Islamic Education, 2(2), 285. https://doi.org/10.24252/asma.v2i2.17340

Widana, I. W. (2021). Realistic Mathematics Education (RME) untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa di Indonesia. Jurnal Elemen, 7(2), 450–462. https://doi.org/10.29408/jel.v7i2.3744

Zaini, A., & Marsigit. (2014a). Perbandingan Keefektifan Pembelajaran Matematika dengan Pendekatan Matematika Realistik dan Konvensional Ditinjau dari Kemampuan Penalaran dan Komunikasi Matematik Siswa. Riset Pendidikan Matematika, 1(2), 284–296.

Zaini, A., & Marsigit, M. (2014b). Perbandingan Keefektifan Pembelajaran Matematika Dengan Pendekatan Matematika Realistik Dan Konvensional Ditinjau Dari Kemampuan Penalaran Dan Komunikasi Matematik Siswa. Jurnal Riset Pendidikan Matematika, 1(2), 152. https://doi.org/10.21831/jrpm.v1i2.2672

Zubaidah Amir, M. Z., Urrohmah, A., & Andriani, L. (2021). The effect of application of realistic mathematics education (RME) approach to mathematical reasoning ability based on mathematics self efficacy of junior high school students in Pekanbaru. Journal of Physics: Conference Series, 1776(1). https://doi.org/10.1088/1742-6596/1776/1/012039

Downloads

Published

2023-04-08

Issue

Vol. 7 No. 2 (2023): April

Section

Articles

License

Authors who publish articles in JTAM (Jurnal Teori dan Aplikasi Matematika) agree to the following terms:

  1. Authors retain copyright of the article and grant the journal right of first publication with the work simultaneously licensed under a CC-BY-SA or The Creative Commons Attribution–ShareAlike License.
  2. 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.
  3. 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).