Main Article Content

Abstract

This research aims to improve the mathematical problem-solving abilities of class XII Langsa State High School students through the application of the Principles of Realistic Mathematics (PMR). The research method used is Classroom Action Research (PTK) with three cycles. The research subjects were 28 students. Data was obtained through problem-solving ability tests, observation of teacher activities, and student activities in learning. The research results show that the application of PMR is effective in improving students' problem-solving abilities. In cycle I, the students' average score reached 65.43 with classical completeness of 53.57%. This value increased to 72.86 in cycle II with classical completeness of 75.00%, and in cycle III it increased again to 80.23 with classical completeness of 89.28%. Apart from that, teacher activity in learning with PMR also increased from cycle to cycle, with the average value of teachers' ability to manage learning increasing from 3.00 in cycle I, to 3.25 in cycle II, and 3.45 in cycle III. Student learning activities also show an increase. In cycle I, the percentage of student activity was 62.50% (sufficient category), increased to 70.83% in cycle II (good category), and reached 78.57% in cycle III (active category). Students are more active in understanding contextual problems, discussing to find solutions, and summarising learning results. With these results, it can be concluded that the PMR approach can improve students' mathematical problem solving, student learning activities, and the effectiveness of teacher learning management. Therefore, PMR is recommended as a learning strategy that can be applied in mathematics learning at the high school level.

Keywords

Mathematics in Action Problem Solving Realistic Mathematics

Article Details

References

  1. Agusdianita, N., Karjiyati, V., & Sufiyandi. (2021). The use of ethnomathematics learning devices based on realistic mathematics education models on mathematics literacy mastery. Proceedings of the International Conference on Educational Sciences and Teacher Profession (ICETeP 2020), 532, 317–324. https://doi.org/10.2991/assehr.k.210227.054
  2. Ahdhianto, E., Marsigit, H., Haryanto, & Santi, N. N. (2020). The effect of metacognitive-based contextual learning model on fifth-grade students’ problem-solving and mathematical communication skills. European Journal of Educational Research, 9(2), 753–764. https://doi.org/10.12973/eu-jer.9.2.753
  3. Ariati, C., & Juandi, D. (2022). Realistic mathematic education on higher-order thinking skill mathematics of students. Kalamatika: Jurnal Pendidikan Matematika, 7(2), 219–236. https://doi.org/10.22236/kalamatika.vol7no2.2022pp219-236
  4. Azis, Z., Panggabean, S., & Sumardi, H. (2021). Efektivitas realistic mathematics education terhadap hasil belajar matematika siswa smp negeri 1 pahae jae. Journal Mathematics Education Sigma (JMES), 2(1), 19–24. https://doi.org/10.30596/jmes.v2i1.6751
  5. Baldry, F., Mann, J., Horsman, R., Koiwa, D., & Foster, C. (2022). The use of carefully planned board work to support the productive discussion of multiple student responses in a japanese problem-solving lesson. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-021-09511-6
  6. Fauza, M. R., Inganah, S., Darmayanti, R., Prasetyo, B. A. M., & Lony, A. (2022). Problem solving ability: Strategy analysis of working backwards based on Polya steps for middle school students YALC Pasuruan. Jurnal Edukasi Matematika dan Sains, 10(2), 353–363. https://doi.org/10.25273/jems.v10i2.13338
  7. Fitriani, Herman, T., & Fatimah, S. (2023). Considering the mathematical resilience in analyzing students’ problem-solving ability through learning model experimentation. International Journal of Instruction, 16(1), 219–240. https://doi.org/10.29333/iji.2023.16113a
  8. Gravemeijer, K. (2013). Revisiting ‘mathematics education revisited’. Freudenthal 100, 24, 106–113.
  9. Hakim, T. A., & Setyaningrum, W. (2024). Realistic mathematics education combined with guided discovery for improving middle school students’ statistical literacy. Journal of Honai Math, 7(2), 233–246. https://doi.org/10.30862/jhm.v7i2.564
  10. Lestari, R., Prahmana, R. C. I., Chong, M. S. F., & Shahrill, M. (2023). Developing realistic mathematics education-based worksheets for improving students’ critical thinking skills. Infinity Journal, 12(1), 69–84. https://doi.org/10.22460/infinity.v12i1.p69-84
  11. Mangelep, N. O., Tarusu, D. T., Ngadiorejo, H., Jafar, G. F., & Kambey, A. N. (2023). Optimization of visual-spatial abilities for primary school teachers through Indonesian realistic mathematics education workshop. Community Development Journal, 4(4), 7289–7297. http://journal.universitaspahlawan.ac.id/index.php/cdj/article/view/18806
  12. Nugraha, R. A. (2025). The influence of mathematical creative thinking ability in terms of learning styles on the learning of compound interest and annuities among students. Jurnal Pendidikan Matematika, 10(1), 389–397.
  13. Nur Anisa, W. (2015). Peningkatan kemampuan pemecahan masalah matematik melalui pembelajaran pendidikan matematika realistik untuk peserta didik SMP Negeri di Kabupaten Garut. Jurnal Penelitian Pendidikan dan Pengajaran Matematika, 1(1), 73–82.
  14. Nurhayati, H., & Handayani, N. W. L. (2020). Implementasi pendekatan realistic mathematics education (RME) di sekolah dasar. Jurnal Basicedu, 5(5), 524–532. https://journal.uii.ac.id/ajie/article/view/971
  15. Palinussa, A. L., Molle, J. S., & Gaspersz, M. (2021). Realistic mathematics education: Mathematical reasoning and communication skills in rural contexts. International Journal of Evaluation and Research in Education, 10(2), 522–534. https://doi.org/10.11591/ijere.v10i2.20640
  16. Prahmana, R. C. I., Arnal-Palacián, M., Risdiyanti, I., & Ramadhani, R. (2023). Trivium curriculum in Ethno-RME approach: An impactful insight from ethnomathematics and realistic mathematics education. Jurnal Elemen, 9(1), 298–316. https://doi.org/10.29408/jel.v9i1.7262
  17. Rulyansah, A. (2021). Integrasi realistic mathematics education dan multiple intelligences pada siswa sekolah dasar. ELSE (Elementary School Education Journal): Jurnal Pendidikan dan Pembelajaran Sekolah Dasar, 5(1), 45. https://doi.org/10.30651/else.v5i1.7336
  18. Sari, I. P., Warmansyah, J., Yuningsih, R., Sari, M., & Yandira, R. (2023). The effect of realistic mathematics education (RME) learning approach on the ability to recognize number concepts in children aged 4–5 years. Journal of Islamic Education Students (JIES), 3(1), 38. https://doi.org/10.31958/jies.v3i1.8654
  19. Sharma, N., Nocera, F., & Gardoni, P. (2021). Classification and mathematical modeling of infrastructure interdependencies. Sustainable and Resilient Infrastructure, 6(1–2), 4–25. https://doi.org/10.1080/23789689.2020.1753401
  20. Sudarsono, Kartono, Mulyono, & Mariani, S. (2022). The effect of STEM model based on Bima’s local cultural on problem solving ability. International Journal of Instruction, 15(2), 83–96. https://doi.org/10.29333/iji.2022.1525a
  21. Suryani, M., Jufri, L. H., & Putri, T. A. (2020). Analisis kemampuan pemecahan masalah siswa berdasarkan kemampuan awal matematika. Mosharafa: Jurnal Pendidikan Matematika, 9(1), 119–130. https://doi.org/10.31980/mosharafa.v9i1.605
  22. Treffers, A. (1987). Integrated column arithmetic according to progressive schematisation. Educational Studies in Mathematics, 18, 125–145.
  23. Ukobizaba, F., Nizeyimana, G., & Mukuka, A. (2021). Assessment strategies for enhancing students’ mathematical problem-solving skills: A review of literature. Eurasia Journal of Mathematics, Science and Technology Education, 17(3), 1–10. https://doi.org/10.29333/ejmste/9728
  24. Ulya, M. F. N., Sumaji, & Rahayu, R. (2023). Analisis kemampuan pemecahan masalah matematis siswa SMP ditinjau dari gaya kognitif reflektif impulsif. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 246–255.
  25. Uyen, B. P., Tong, D. H., Loc, N. P., & Thanh, L. N. P. (2021). The effectiveness of applying realistic mathematics education approach in teaching statistics in grade 7 to students’ mathematical skills. Journal of Education and E-Learning Research, 8(2), 185–197. https://doi.org/10.20448/JOURNAL.509.2021.82.185.197
  26. Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic mathematics education. Encyclopedia of Mathematics Education. https://doi.org/10.1007/978-94-007-4978-8_170
  27. Wahyuni. (2022). Pengaruh keterampulan bahasa guru terhadap kemampuan penalaran matematis siswa. Jurnal Ilmiah Pendidikan Matematika Al-Qalasadi, 6(2), 178–184. https://doi.org/10.32505/qalasadi.v6i2.4970
  28. Wahyuni, Zaiyar, M., Saragih, S., & Napitupulu, E. (2023). Students talk about difficulties they have in solving math problems. Al-Jabar: Jurnal Pendidikan Matematika, 14(1), 181–190.
  29. Wijaya, E. M. S., & Irianti, N. P. (2021). Meningkatkan kemampuan berpikir kritis mahasiswa melalui realistic mathematic education (RME). AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(2), 648. https://doi.org/10.24127/ajpm.v10i2.3103
  30. Wilkie, K. J., & Roche, A. (2022). Primary teachers’ preferred fraction models and manipulatives for solving fraction tasks and for teaching. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-022-09542-7
  31. Zulkardi, Z., Putri, R. I. I., & Wijaya, A. (2020). Two decades of realistic mathematics education in Indonesia. In International Reflections on the Netherlands Didactics of Mathematics: Visions on and Experiences with Realistic Mathematics Education. https://doi.org/10.1007/978-3-030-20223-1_9