Ratio and proportion through realistic mathematics education and pendidikan matematika realistik Indonesia approach: A systematic literature review

Authors

  • Irma Risdiyanti Universitas Sriwijaya, Palembang
  • Zulkardi Zulkardi Universitas Sriwijaya, Palembang
  • Ratu Ilma Indra Putri Universitas Sriwijaya, Palembang
  • Rully Charitas Indra Prahmana Universitas Ahmad Dahlan, Yogyakarta
  • Duano Sapta Nusantara Universitas Sriwijaya, Palembang

DOI:

https://doi.org/10.29408/jel.v10i1.24445

Keywords:

pendidikan matematika realistik Indonesia, proportion, ratio, realistic mathematics education, systematic literature review

Abstract

Foundational mathematical concepts like ratios and proportions are indispensable for solving both everyday problems and those encountered in professional settings. However, many students need help to grasp and apply these concepts effectively, often due to ineffective teaching methods, variations in students' levels of comprehension, and shortcomings in existing learning models. Realistic Mathematics Education (RME) and Pendidikan Matematika Realistik Indonesia (PMRI) have emerged as promising solutions to address these challenges. This study aims to systematically review the literature on ratio and proportion learning design using RME and PMRI approaches. It focuses on three specific research inquiries: profiling the literature, analyzing employed learning designs, and identifying gaps and recommendations for further research in learning design development. Conducted through a Systematic Literature Review (SLR) approach, the research involved planning, implementing, and disseminating review results. One hundred forty-four documents were scrutinized, leading to the identification of 19 pertinent papers. This study provides a comprehensive analysis of the literature on learning design in the context of ratio, proportion, scale, and level, utilizing RME and PMRI approaches while highlighting research gaps and offering insights for future studies. Its findings hold significant implications for educators and researchers seeking to enhance mathematics education through RME and PMRI approaches.

References

Anat, K., Einav, K., & Shirley, R. (2020). Development of mathematics trainee teachers’ knowledge while creating a MOOC. International Journal of Mathematical Education in Science and Technology, 51, 939-953. https://doi.org/10.1080/0020739X.2019.1688402

Andinasari, Jayanti, & Wasiran, Y. (2020). Learning design of proportion using tangram context. Journal of Physics: Conference Series, 1480(1), 012019. https://doi.org/10.1088/1742-6596/1480/1/012019

Ayan, R., Isiksal-Bostan, M., & Stephan, M. (2019). A math teacher’s participation in classroom design research: Teaching of ratio and proportion. Eleventh Congress of the European Society for Research in Mathematics Education (No. 5). Freudenthal Group; Freudenthal Institute, Utrecht, Netherlands. https://hal.science/hal-02430031/file/TWG19_05.pdf

Ben-Chaim, D., Keret, Y., & Ilany, B. S. (2012). Ratio and proportion. Springer Science & Business Media. https://doi.org/10.1007/978-94-6091-784-4

Brereton, P., Kitchenham, B. A., Budgen, D., Turner, M., & Khalil, M. (2007). Lessons from applying the systematic literature review process within the software engineering domain. Journal of Systems and Software, 80(4), 571-583. https://doi.org/10.1016/j.jss.2006.07.009

de Beer, H., Gravemeijer, K., & van Eijck, M. (2017). A proposed local instruction theory for teaching instantaneous speed in grade five. The Mathematics Enthusiast, 14(1), 435-468. https://doi.org/10.54870/1551-3440.1406

Fauziah, N. I., & Cahya, E. (2021). Students’ Difficulties in Solving Ratios and Proportional Relationships Problems. In AECon 2020: Proceedings of the 6th Asia-Pacific Education and Science Conference, AECon 2020, 19-20 December 2020, Purwokerto, Indonesia (p. 151). European Alliance for Innovation.

Freudenthal, H. (2006). Revisiting mathematics education: China lectures (Vol. 9). Springer Science & Business Media. https://doi.org/10.1007/0-306-47202-3

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

Gravemeijer, K., Van Galen, F., Keijer, R. (2005). Designing instruction on proportional reasoning with average speed. International Group for the Psychology of Mathematics Education, 1, 103. https://www.emis.de/proceedings/PME29/PME29CompleteProc/PME29Vol1Complete.pdf#page=171

Hadi, S. (2017). Pendidikan Matematika Realistik (Teori, Pengembangan dan Implementasinya) [Realistic Mathematics Education (Theory, Development and Implementation)]. PT Raja Grafindo Persada.

Khikmiyah, F., Lukito, A., & Patahudin, S. M. (2012). Students' modelling in learning the concept of speed. Journal on Mathematics Education, 3(1), 87-98. https://doi.org/10.22342/jme.3.1.618.87-98

Khizar, H. M. U., Younas, A., Kumar, S., Akbar, A., & Poulova, P. (2023). The progression of sustainable development goals in tourism: A systematic literature review of past achievements and future promises. Journal of Innovation & Knowledge, 8(4), 100442. https://doi.org/10.1016/j.jik.2023.100442

Kitchenham, B., & Charters, S. (2007). Guidelines for performing systematic literature reviews in software engineering version 2.3. Engineering, 45, 1051. https://www.cs.auckland.ac.nz/~norsaremah/2007%20Guidelines%20for%20performing%20SLR%20in%20SE%20v2.3.pdf

Kitchenham, B., Pretorius, R., Budgen, D., Brereton, O. P., Turner, M., Niazi, M., & Linkman, S. (2010). Systematic literature reviews in software engineering–A tertiary study. Information and Software Technology, 52(8), 792-805. https://doi.org/10.1016/j.infsof.2010.03.006

Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P., ... & Moher, D. (2009). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate health care interventions: Explanation and elaboration. Annals of Internal Medicine, 151(4), W-65. https://doi.org/10.7326/0003-4819-151-4-200908180-00136

Maryam, R., & Sampoerno, P. D. (2021). The development of interactive learning media with realistic mathematics education approach for topic of ratio and proportion. AIP Conference Proceedings, 2331(1), 0042308. https://doi.org/10.1063/5.0042308

Meirisa, A., Rifandi, R., & Masniladevi, M. (2018). Pengaruh pendekatan Pendidikan Matematika Realistik Indonesia (PMRI) terhadap keterampilan berpikir kritis siswa SD [The effect of Pendidikan Matematika Realistik Indonesia (PMRI) approach on critical thinking skills of elementary school students]. Jurnal Gantang, 3(2), 127–134. https://doi.org/10.31629/jg.v3i2.508

Moher, D., Liberati, A., Tetzlaff, J., Altman, D. G., Altman, D., Antes, G., ... & Tugwell, P. (2009). Preferred reporting items for systematic reviews and meta-analyses: The PRISMA statement (Chinese edition). Journal of Chinese Integrative Medicine, 7(9), 889-896. https://doi.org/10.7326/0003-4819-151-4-200908180-00135

Muttaqin, H., Putri, R. I. I., & Somakim, S. (2017). Design research on ratio and proportion learning by using ratio table and graph with oku timur context at 7th grade. Journal on Mathematics Education, 8(2), 211-222. http://dx.doi.org/10.22342/jme.8.2.3969.211-222

Nasution, A. A., Amin, S. M., Lukito, A., Abels, M. J., & Dolk, M. (2014). Educational design research: Supporting fifth-grade students to learn about proportion. In The second South East Asia Design/Development Research (SEADR) International Conference (pp. 43-51). https://repository.unsri.ac.id/25140/1/Andrea_Arifsyah_Nasution.pdf

Nursa, N. F., Hartono, Y., & Somakim. (2020). On teaching learning for proportion using musi tour context. Journal of Physics: Conference Series, 1480(1), 012026. https://doi.org/10.1088/1742-6596/1480/1/012026

Ohtani, M. (2007). Designing unit for teaching proportion based on cultural-historical activity theory: Process of symbolizing through collective discourse. Proceedings of PME 31, 4, 33-40.

Oktaviani, M. (2019). Innovation in learning proportion using proportion table. Jisae: Journal of Indonesian Student Assessment and Evaluation, 5(2), 37–42. https://doi.org/10.21009/jisae.052.04

Peñaloza, J., & Vásquez, F. (2022). Compresión del concepto razón a través del modelo de Pirie y Kieren [Understanding ratio through the Pirie-Kieren model]. Acta Scientiae, 24(4), 24-56. https://doi.org/10.17648/acta.scientiae.6826

Snyder, H. (2019). Literature review as a research methodology: An overview and guidelines. Journal of Business Research, 104, 333-339. https://doi.org/10.1016/j.jbusres.2019.07.039

Soedjadi, R. (2007). Inti dasar-dasar pendidikan matematika realistik Indonesia [The basic core of pendidikan matematika realistik Indonesia]. Jurnal Pendidikan Matematika, 1(2), 1-10. https://doi.org/10.22342/jpm.1.2.807.

Sugiarni, R., Herman, T., Juandi, D., & Supriyadi, E. (2022). Hypothetical learning trajectory in scientific approach on material direct proportion: Context of rice farmers' activities pandanwangi Cianjur. JTAM (Jurnal Teori dan Aplikasi Matematika), 6(4), 915-925. https://doi.org/10.31764/jtam.v6i4.9403

Sumarto, S. N. (2013). Design research on mathematics education: Ratio table in developing the students’ proportional reasoning. Unpublished Thesis of Freudenthal Institute for Science and Mathematics Education, Faculty of Science. The Netherlands: Utrecht University. https://www.fisme.science.uu.nl/en/impome/theses_group_2012/thesis_Sylvana.pdf

Sumarto, S. N., Zulkardi, Darmawijoyo, & van Galen, F. (2013). Ratio table and money context as means to support the development of student’s proportional reasoning. The First South East Asia Design/ Development Research (SEA-DR) International Conference (pp. 427–435).

Utari, R. S., Putri, R. I. I., & Hartono, Y. (2015). Supporting 7th students’ proportional reasoning using Palembang culture as context and ratio table as a model. Proceedings the 3rd South East Asia Design/ Development Research (SEA-DR) International Conference (pp. 344-352). https://www.researchgate.net/profile/Rahma-Siska-Utari/publication/348409412_SUPPORTING_7_TH_STUDENTS'_PROPORTIONAL_REASONING_USING_PALEMBANG_CULTURE_AS_CONTEXT_AND_RATIO_TABLE_AS_MODEL/links/5ffd934e299bf140888ce250/SUPPORTING-7-TH-STUDENTS-PROPORTIONAL-REASONING-USING-PALEMBANG-CULTURE-AS-CONTEXT-AND-RATIO-TABLE-AS-MODEL.pdf

Wahyuningrum, A. S., & Suryadi, D. (2017). Epistemological obstacles on the topic of ratio and proportion among junior high school students. Journal of Physics: Conference Series, 895(1), 012066. https://doi.org/10.1088/1742-6596/895/1/012066

Wardani, K. D., & Prahmana, R. C. I. (2021). Learning direct and inverse proportion using pen and money for slow-leaners. Indonesian Research Journal in Education |IRJE|, 5(1), 63–84. https://doi.org/10.22437/irje.v5i1.10302

Wirani, W. (2015). Developing a local instruction theory on ratio and scale. Unpublished Thesis of Freudenthal Institute for Science and Mathematics Education, Faculty of Science. The Netherlands: Utrecht University. https://www.fisme.science.uu.nl/en/impome/theses_group_2014/thesis_Tyas.pdf

Wirani, W., Amin, S. M., Lukito, A., & Wijers, M. (2015) using double number line to support students in learning ratio and scale. Proceedings the 3rd South East Asia Design/ Development Research (SEA-DR) International Conference (pp. 387-395). https://repository.unsri.ac.id/25068/1/wirani.pdf

Xiao, Y., & Watson, M. (2019). Guidance on conducting a systematic literature review. Journal of Planning Education and Research, 39(1), 93-112. https://doi.org/10.1177/0739456X17723971

Zuhra, S. F., Zubainur, C. M., & Abidin, T. F. (2018). Learning direct proportion by using the context of timpan recipes. Journal of Physics: Conference Series, 1088(1), 012048. https://doi.org/10.1088/1742-6596/1088/1/012048

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Published

08-02-2024

How to Cite

Risdiyanti, I., Zulkardi, Z., Putri, R. I. I., Prahmana, R. C. I., & Nusantara, D. S. (2024). Ratio and proportion through realistic mathematics education and pendidikan matematika realistik Indonesia approach: A systematic literature review. Jurnal Elemen, 10(1), 158–180. https://doi.org/10.29408/jel.v10i1.24445

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