Article Sidebar

Download
PDF
Statistic
Read Counter : 18 Download : 10

Main Article Content

Abstract

Learning trajectory of set is a learning path to get concept of set. However, several teachers did not combine methods, approaches, and ideas in their practical deliveries. This situation becomes a concern for teachers to handle since it will affect the rule without reason so that the accepted concept will not last long in students’ memory. This study aim to describe the learning trajectory using RME models to construct the concept of set. Hypothetical learning trajectory (HLT) was designed using a qualitative method with the realistic mathematics education (RME) of Gravemeijer model as the activity stage begin from preparing for the experiment, pilot experiment, teaching experiment and retrospective analysis. The designed HLT consisted of an objective, activity, and conjecture. This study achieved an understanding of the set concept with applying RME design. By providing examples of contextual mathematics that take place in the learning environment, these outcomes were achieved. Then using media like set cards to model mathematics so that students can advance their own knowledge to the level of formal mathematics. Therefore, the RME-based HLT design can be a solution to obtain the concept of set, primarily in domain definition and set notation to produce a learning trajectory.


DOI: https://doi.org/10.22342/jpm.17.1.19077.89-102

Keywords

Learning Trajectory Realistic Mathematics Education Set

Article Details

License

Copyright (c) 2023 Nadya Amalia Juana, Junet Kaswoto, Sugiman, Aulia Almas Agustin Hidayat

Creative Commons License

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

This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.

All articles published Open Access will be immediately and permanently free for everyone to read and download. We are continuously working with our author communities to select the best choice of license options, Creative Commons Attribution-ShareAlike (CC BY-NC-SA).

How to Cite
Juana, N. A., Kaswoto, J., Sugiman, & Hidayat, A. A. A. (2024). The Learning Trajectory of Set Concept Using Realistic Mathematics Education (RME). Jurnal Pendidikan Matematika, 17(1), 89–102. Retrieved from https://jpm.ejournal.unsri.ac.id/index.php/jpm/article/view/182
Download Citation
Endnote/Zotero/Mendeley (RIS)
BibTeX

References

  1. Amelia, R., Kadarisma, G., Fitriani, N., & Ahmadi, Y. (2020). The effect of online mathematics learning on junior high school mathematic resilience during covid-19 pandemic. Journal of Physics: Conference Series, 1657(1), 12011. https://doi.org/10.1088/1742-6596/1657/1/012011
  2. Amirante, A., Tortorelli, L., & Veronesi, I. (2022). Mathematics, Literature and Art: Getting Passionate about Mathematics Though The Use of Digital Technologies. ICERI2022 Proceedings, 3877–3884. https://doi.org/https://doi.org/10.21125/iceri.2022.0941
  3. Andriani, L. (2019). Analysis of Student Errors in Solving Set Problems in the Mathematics Education Study Program at UIN SUSKA RIAU [in Bahasa]. Jurnal Cendekia: Jurnal Pendidikan Matematika, 3(2), 550–562. https://doi.org/https://doi.org/10.31004/cendekia.v3i2.146
  4. Anggraeni, R., & Kadarisma, G. (2020). Analysis of Mathematical Problem Solving Ability of Grade VII Junior High School Students on Set Material [in Bahasa]. Jurnal Cendekia: Jurnal Pendidikan Matematika, 4(2), 1072–1082. https://doi.org/https://doi.org/10.31004/cendekia.v4i2.334
  5. Arsoetar, N., & Sugiman, S. (2019). Development of student worksheets based on Realistic Mathematics Education (RME) oriented to mathematical reasoning. Journal Of Physics: Conference Series, 1397(1), 12091. https://doi.org/10.1088/1742-6596/1397/1/012091
  6. Astuti, W., & Wijaya, A. (2020). Learning trajectory berbasis proyek pada materi definisi himpunan. Jurnal Riset Pendidikan Matematika, 7(2), 254–266. https://doi.org/https://doi.org/10.21831/jrpm.v7i2.16483
  7. Chan, C. B., & Wilson, O. (2020). Using chakowa’s digitally enhanced learning model to adapt face- to-face EAP materials for online teaching and learning. International Journal of TESOL Studies, 2(1), 83–89. https://doi.org/https://doi.org/10.46451/ijts.2020.06.06
  8. Chen, C.Y. (2016). A hypothetical learning trajectory of arguing statemants about geometric figures.
  9. Clements, D. H., Wilson, D. C., & Sarama, J. (2012). Young children’s composition of geometric figures: A learning trajectory. In Hypothetical Learning Trajectories (1 ed., hal. 163–184). Routledge.
  10. Da, N. T. (2022). Approach to Realistic Mathematics Education in Teaching Calculus for High School Students: A Case of the Application of Derivatives. International Journal of Professional Development, Learners and Learning, 4(1).
  11. Dwidarti, U., Mampouw, H. L., & Setyadi, D. (2019). Analysis of students' difficulties in solving word problems on set material [in Bahasa]. Jurnal Cendekia: Jurnal Pendidikan Matematika, 3(2), 315–322. https://doi.org/https://doi.org/10.31004/cendekia.v3i2.110
  12. Fauzan, A, & Diana, F. (2020). Learning trajectory for teaching number patterns using RME approach in junior high schools. Journal of Physics: Conference Series, 1470(1), 12019. https://doi.org/10.1088/1742-6596/1470/1/012019
  13. Fauzan, Ahmad, Musdi, E., & Afriadi, J. (2018). Developing learning trajectory for teaching statistics at junior high school using RME approach. Journal of Physics: Conference Series, 1088(1), 12040. https://doi.org/10.1088/1742-6596/1088/1/012040
  14. Freudenthal, H. (2006). Revisiting mathematics education: China lectures (Vol. 9). Springer Science & Business Media.
  15. Gazali, R. Y. (2016). Pembelajaran matematika yang bermakna. Math Didactic: Jurnal Pendidikan Matematika, 2(3), 181–190.
  16. Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In Educational design research (hal. 29–63). Routledge.
  17. Gravemeijer, K. (2020). A socio-constructivist elaboration of realistic mathematics education. In National reflections on the Netherlands didactics of mathematics (hal. 217–233). Springer, Cham.
  18. Hedayani, E. (2018). Development of learning trajectory-based geometry learning tools oriented to critical and creative thinking skills for junior high school students [in Bahasa]. PYTHAGORAS, 13(2).
  19. Hery, R. D., Putri, R. I. I., & Hartono, Y. (2018). PMRI-Based Interactive Multimedia Development of Parallel Materials [in Bahasa]. Kreano, Jurnal Matematika Kreatif-Inovatif, 9(1), 78–83. https://doi.org/https://doi.org/10.15294/kreano.v9i1.14367
  20. Indriani, N., & Julie, H. (2017). Developing learning trajectory on the circumference of a cycle with realistic mathematics education (RME). AIP conference proceedings, 1868(1), 50022. https://doi.org/https://doi.org/10.1063/1.4995149
  21. Kim, C., Park, S. W., Cozart, J., & Lee, H. (2015). From motivation to engagement: The role of effort regulation of virtual high school students in mathematics courses. Journal of Educational Technology & Society, 18(4), 261–272.
  22. Kusrini, E., & Rizkianto, I. (2018). Developing Mathematics Learning Materials based on Multiple Intelligence Theory, Learning Trajectory, and Conceptual Knowledge in the Topic of Probability for Eighth Graders. University of Muhammadiyah Malang’s 1st International Conference of Mathematics Education (INCOMED 2017), 301–308. https://doi.org/https://dx.doi.org/10.2991/incomed-17.2018.65
  23. Marasabessy, R., & Hasanah, A. (2021). Mathematical Reasoning: What Is Its Central Aspect? [in Bahasa]. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(1), 562–577. https://doi.org/https://doi.org/10.31004/cendekia.v5i1.404
  24. Maxwell, S. E., Delaney, H. D., & Kelley, K. (2017). Designing experiments and analyzing data: A model comparison perspective. Routledge.
  25. Meidiana, S., Nyimas, A., & Pratiwi, W. D. (2021). Investigating Student’s Mathematical Reasoning Ability by Using PMRI Based on Emergent Modeling. 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020), 339–344. https://doi.org/https://dx.doi.org/10.2991/assehr.k.210508.085
  26. Najwa, W. A., Susiswo, S., & As’ari, A. R. (2019). Horizontal Mathematical Ability of Elementary School Students in Solving Positive Integer Problems [in Bahasa]. Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan, 3(12), 1606–1611. https://doi.org/http://dx.doi.org/10.17977/jptpp.v3i12.12555
  27. Nuraida, I., & Amam, A. (2019). Hypothetical learning trajectory in realistic mathematics education to improve the mathematical communication of junior high school students. Infinity Journal, 8(2), 247–258. https://doi.org/https://doi.org/10.22460/infinity.v8i2.p247-258
  28. Posamentier, A. S., & Smith, B. (2020). Teaching secondary school mathematics: Techniques and enrichment. World Scientific.
  29. Purwati, R. (2020). Application of Realistic Mathematic Education (RME) Approach in learning Mathematic to Improve Student Learning Outcomes. International Conference on Elementary Education, 2(1), 729–736.
  30. Puspaningtyas, N. D., & Ulfa, M. (2020). Numerical Literacy-Based Mathematical Problem Practice for IT Fitrah Insani High School Students [in Bahasa]. Jurnal Pengabdian Masyarakat MIPA Dan Pendidikan MIPA, 4(2), 137–140. https://doi.org/https://doi.org/10.21831/jpmmp.v4i2.37504
  31. Risdiyanti, I., & Prahmana, R. C. I. (2021a). Designing learning trajectory of set through the Indonesian shadow puppets and Mahabharata stories. Infinity Journal, 10(2), 331–348. https://doi.org/https://doi.org/10.22460/infinity.v10i2.p331-348
  32. Sarvita, L., & Syarifuddin, H. (2020). The developed hypothetical learning trajectory for integral topic based on realistic mathematics education. Journal of Physics: Conference Series, 1554(1), 12032. https://doi.org/10.1088/1742-6596/1554/1/012032
  33. Schoenfeld, A. H. (1988). When good teaching leads to bad results: The disasters of’well- taught’mathematics courses. Educational psychologist, 23(2), 145–166. https://doi.org/https://doi.org/10.1207/s15326985ep2302_5
  34. Simanulang, J. (2014). Development of teaching materials for the set of the rainbow troop context with the Indonesian Realistic Mathematics Education (PMRI) approach for Class VII Junior High Schools [in Bahasa]. Jurnal pendidikan matematika, 8(1), 43–54. https://doi.org/http://dx.doi.org/10.22342/jpm.8.1.1859.43-54
  35. Sirait, A. R., & Azis, Z. (2017). The Realistic of Mathematic Educational Approach (RME) toward the Ability of the Mathematic Connection of Junior High School in Bukhari Muslim Medan. American Journal of Educational Research, 5(9), 984–989. https://doi.org/10.12691/education-5-9-10
  36. Surya, A. (2018). Learning trajectory in elementary school (SD) mathematics learning [in Bahasa]. Jurnal Pendidikan Ilmiah, 4(2), 22–26.
  37. Towe, M. M., & Julie, H. (2020). Developing learning trajectories with the RME of phytagorean theorem. Journal of Physics: Conference Series, 1470(1), 12027. https://doi.org/10.1088/1742-6596/1470/1/012027
  38. Tunjungsari, A. R., & Tasyanti, T. (2017). Application of PBL with GeoGebra-assisted RME approach to improve mathematical thinking skills [in Bahasa]. PRISMA, Prosiding Seminar Nasional Matematika, 556–566.

Similar Articles

1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.