Systematic literature review: Learning geometry transformation using PMRI
Main Article Content
Abstract
This study aims to conduct a systematic literature review related to geometric transformation learning using the Indonesian Realistic Mathematics Education (PMRI) approach. The research method employed was a Systematic Literature Review (SLR). The research data consisted of journal articles discussing PMRI-based geometric transformation learning. The article selection criteria included relevance to the research topic, publication in reputable journals, and alignment with PMRI principles. The results indicate that PMRI-based learning can improve students’ understanding of geometric transformation concepts through the use of realistic contexts. Therefore, PMRI can be considered an effective approach for teaching geometric transformation.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The requirements that must be met by the author are as follows:
- The author saves the copyright and gives the journal simultaneously with the license under Creative Commons Attribution License which permits other people to share the work by stating that it is firstly published in this journal.
- The author can post their work in an institutional repository or publish it in a book by by stating that it is firstly published in this journal.
- The author is allowed to post their work online (for instance, in an institutional repository or their own website) before and during the process of delivery. (see Open Access Effect).
How to Cite
References
Ada, T., & Kurtuluş, A. (2010). Students’ misconceptions and errors in transformation geometry. International Journal of Mathematical Education in Science and Technology, 41(7), 901–909. https://doi.org/10.1080/0020739X.2010.486451
Adha, I., Zulkardi, Z., & Putri, R. I. I. (2023). Systematic literature review: Pembelajaran sudut menggunakan pendekatan pendidikan matematika realistik. Journal of Mathematics Science and Education, 6(1), 46–55. https://doi.org/10.31540/jmse.v6i1.2640
Calderón, A., & Ruiz, M. (2015). A systematic literature review on serious games evaluation: An application to software project management. Computers & Education, 87(1), 396–422. https://doi.org/10.1016/j.compedu.2015.07.011
Fan, L., Qi, C., Liu, X., Wang, Y., & Lin, M. (2017). Does a transformation approach improve students’ ability in constructing auxiliary lines for solving geometric problems? An intervention-based study with two Chinese classrooms. Educational Studies in Mathematics, 96(2), 229–248. https://doi.org/10.1007/s10649-017-9772-5
Faulina, M., & Andriyani, A. (2020). Guided discovery learning to improving triangular understanding in blind student. Math Didactic: Jurnal Pendidikan Matematika, 6(2), 156–168. https://doi.org/10.33654/math.v6i2.925
Febrian, F., & Perdana, S. A. (2018). Triggering fourth graders’ informal knowledge of isometric transformation geometry through the exploration of Malay cloth motif. Journal Of Educational Sciences, 2(1), 26. https://doi.org/10.31258/jes.2.1.p.26-36
Febrıan, F., & Astutı, P. (2018). The RME principles on geometry learning with focus of transformation reasoning through exploration on Malay woven motif. Journal of Turkish Science Education, 1(1), 33–41. https://www.tused.org/index.php/tused/article/view/686
Filda, D., & Armiati, A. (2023). Designing hypothetical learning trajectory based on realistic mathematics education in learning reflection using motif of batik Riau. In AIP Conference Proceedings. https://doi.org/10.1063/5.0122417
Firdiana, W., Juniati, D., & Janet Trineke Manoy. (2022). Strategic competence of junior high school students in solving geometry problems reviewed from sex differences. Math Didactic: Jurnal Pendidikan Matematika, 8(1), 1–15. https://doi.org/10.33654/math.v8i1.1602
Fitriani, N., Hidayah, I. S., & Nurfauziah, P. (2021). Live worksheet realistic mathematics education berbantuan geogebra: Meningkatkan abstraksi matematis siswa SMP pada materi segiempat. JNPM (Jurnal Nasional Pendidikan Matematika), 5(1), 37. https://doi.org/10.33603/jnpm.v5i1.4526
Hamidah, I., Zulkardi, Z., Putri, R. I. I., Susanti, E., & Nusantara, D. S. (2024). Hypothetical learning trajectory design in reflection learning using the context of the Cirebon Red Mosque. Jurnal Pendidikan Matematika (JUPITEK), 7(1), 1–10. https://doi.org/10.30598/jupitekvol7iss1pp1-10
Hanipah, N., Farahita, R., & Fadhillah, R. (2022). Penggunaan alat peraga papan transformasi geometri untuk meningkatkan pemahaman konsep matematis siswa. Polinomial : Jurnal Pendidikan Matematika, 1(1), 14–22. https://doi.org/10.56916/jp.v1i1.40
Hardiyanto, D., Asokawati, I., Majid, P. M., Maesaroh, A. T., & Nursyahidah, F. (2024). Designing hypothetical learning trajectory for geometry transformation using realistic mathematics education. AIP Conf. Proc, 1–9. https://doi.org/10.1063/5.0242442
Hartati, S., Zulkardi, Z., & Hartono, Y. (2018). Belajar pencerminan dengan menggunakan permainan bom-boman di kelas VII. JRPM (Jurnal Review Pembelajaran Matematika), 3(1), 49–61. https://doi.org/10.15642/jrpm.2018.3.1.49-61
Hasbi, M., Lukito, A., & Sulaiman, R. (2021). Pengembangan pembelajaran matematika siswa smp: Koneksi matematis pada realistik mathematics education. Infinity: Jurnal Matematika Dan Aplikasinya, 1(2), 1–11. https://doi.org/10.30605/27458326-47
Inharjanto, A., & Lisnani, L. (2019). Implementing realistic mathematics education for elementary schools in Indonesia. Proceedings of the International Conference on Educational Sciences and Teacher Profession (ICETeP 2018). https://doi.org/10.2991/icetep-18.2019.47
Lestari, H. P., Sugiyono, & Listyani, E. (2020). Development of geogebra-assisted student worksheet for transformational geometry learning. Journal of Physics: Conference Series, 1581(1), 1–9. https://doi.org/10.1088/1742-6596/1581/1/012005
Maryati, M., & Prahmana, R. C. I. (2021). Learning trajectory of dilation and reflection in transformation geometry through the motifs of bamboo woven. Jurnal Didaktik Matematika, 8(2), 134–147. https://doi.org/10.24815/jdm.v8i2.21283
Mashingaidze, S. (2012). The teaching of geometric (isometric) transformations at secondary school level: What approach to use and why? Asian Social Science, 8(15), 197–210. https://doi.org/10.5539/ass.v8n15p197
Mutaqin, E. J., Salimi, M., Asyari, L., & Hamdani, N. A. (2021). Realistic mathematics education approach on teaching geometry in primary schools: Collaborative action research. Journal of Physics: Conference Series, 1987(1), 1–5. https://doi.org/10.1088/1742-6596/1987/1/012031
Nirawati, R., Juandi, D., Fatimah, S., Irma, A., & Andriani, L. (2020). Mathematical representation ability of prospective student teacher in resolving transformation geometry problems reviewed in epistemology aspect. IOP Conference Series: Earth and Environmental Science, 485(1), 1–17. https://doi.org/10.1088/1755-1315/485/1/012068
Novrika, D., Putri, R. I. I., & Hartono, dan Y. (2016). Desain pembelajaran materi refleksi menggunakan motif kain batik untuk siswa kelas VII. Prosiding Seminar Matematika Dan Pendidikan Matematika, 607–626.
Nursyahidah, F., Saputro, B. A., & Albab, I. U. (2020). Learning reflection through the context of Central Java historical building. Journal of Physics: Conference Series, 1567(2), 1–6. https://doi.org/10.1088/1742-6596/1567/2/022095
Pangestika, B. W., Susanto, S., Safrida, L. N., Trapsilasiwi, D., & Monalisa, L. A. (2022). Analisis keterampilan geometri siswa dalam menyelesaikan masalah transformasi geometri yang berkaitan dengan etnomatematika di taman nasional alas purwo. Edukatif : Jurnal Ilmu Pendidikan, 4(4), 5804–5817. https://doi.org/10.31004/edukatif.v4i4.2857
Rawani, D., Putri, R. I. I., Zulkardi, & Susanti, E. (2023). RME-based local instructional theory for translation and reflection using of South Sumatra dance context. Journal on Mathematics Education, 14(3), 545–562. https://doi.org/10.22342/jme.v14i3.pp545-562
Rezat, S., Hattermann, M., & Peter-Koop, A. (2014). Transformation - A fundamental idea of mathematics education (S. Rezat, M. Hattermann, & A. Peter-Koop (eds.)). Springer New York. https://doi.org/10.1007/978-1-4614-3489-4
Ridha, M. R., Pramiarsih, E. E., & Widjajani. (2020). The use of geogebra software in learning geometry transformation to improve students’ mathematical understanding ability. Journal of Physics: Conference Series, 1477(4), 1–7. https://doi.org/10.1088/1742-6596/1477/4/042048
Safrizal, S., Sastri, W., Anastasha, D. A., & Syarif, M. I. (2022). Realistic mathematic education untuk meningkatkan aktivitas dan hasil belajar matematika siswa sekolah dasar. EDUKATIF : JURNAL ILMU PENDIDIKAN, 4(3), 4805–4812. https://doi.org/10.31004/edukatif.v4i3.2679
Sari, A., & Putri, R. I. I. (2021). Inductive reasoning ability of students using the Palembang songket fabric context in rotational learning in grade IX. Jurnal Pendidikan Matematika, 16(1), 57–72. https://doi.org/10.22342/jpm.16.1.14304.57-72
Yanny, R. W., Mirza, A., Ahmad, D., Bistari, B., & Pasaribu, R. L. (2023). Pengembangan media powerpoint terintegrasi geogebra untuk materi transformasi geometri di SMP. JIPMat, 8(1), 56–63. https://doi.org/10.26877/jipmat.v8i1.14636
Zawacki-Richter, O., Kerres, M., Bedenlier, S., Bond, M., & Buntins, K. (2020). Systematic reviews in educational research: Methodology, perspectives and application (O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (eds.)). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7
Zulkardi, Prahmana, R. C. I., & Putri, R. I. I. (2025). In memory of Jan de Lange and Kees Hoogland: Honoring their legacy and contributions to mathematics education in Indonesia. Journal on Mathematics Education, 16(2), 753–764. https://doi.org/10.22342/jme.v16i2.pp753-764
Zulkardi, Z., & Putri, R. I. I. (2010). Pengembangan blog support untuk membantu siswa dan guru matematika Indonesia belajar pendidikan matematika realistic Indonesia (PMRI). Jurnal Inovasi Perekayasa Pendidikan (JIPP), 2(1), 1–24. https://repository.unsri.ac.id/6777/
Zulkardi, Z., Putri, R. I. I., & Wijaya, A. (2020). Two decades of Realistic Mathematics Education in Indonesia. In International Reflections on Realist Mathematics Education (pp. 325–340). https://doi.org/10.1007/978-3-030-20223-1_18