Design of an RME-Based Fractions Textbook in the Luwu Tourism Context to Stimulate Students’ Reasoning Skills

https://doi.org/10.51574/ijrer.v3i4.4327

Authors

  • Muhammad Ikram Departement of Mathematics Education, Faculty Teacher Training and Education, Universitas Cokroaminoto Palopo
  • Marufi Marufi Departement of Mathematics Education, Faculty Teacher Training and Education, Universitas Cokroaminoto Palopo
  • Suriani Canne Departement of Mathematics Education, Faculty Teacher Training and Education, Universitas Cokroaminoto Palopo

Keywords:

Contextual Teaching Materials, Fractions Textbook, Luwu Tourism Context, Mathematical Reasoning, Realistic Mathematics Education

Abstract

Students in primary school must think mathematically. However, classroom research shows that students' fraction reasoning is low and teachers' instructional materials don't permit higher-order thinking. This highlights the need for a more relevant and meaningful textbook that matches students' learning patterns. Therefore, this study develops and tests a fractions textbook based on Realistic Mathematics Education (RME) using Luwu tourism to improve primary students' reasoning skills. Two teaching experiment cycles were used for R&D. A total of 23 fifth graders and one teacher from Primary School 5 Tarabbi Indah participated in the study. Expert validation sheets, reasoning rubrics, examinations, and instructor/student questionnaires were used. Research included needs analysis, textbook design, expert validation, first-cycle field testing, product change, second-cycle field testing, and retrospective analysis. Data were descriptively investigated using validation, reasoning, user responses, and cycle comparisons. The findings indicated that the textbook was highly legitimate in content, construct, language, and contextual alignment, according to experts. The first cycle teacher gave 3.8, and the second gave 3.9, while students gave 3.63 and 3.44 in the “practical” category. The textbook worked, as sufficient and very competent reasoning skills increased from 47.8% in the first cycle to 69.6% in the second. Understanding information, evaluating tactics, and presenting mathematical arguments improved. The textbook modifications made these improvements possible by simplifying directions, illustrations, and key subjects. This work improves contextual RME-based teaching materials conceptually and practically. The textbook can assist primary school teachers and schools in planning meaningful, relevant fraction instruction that promotes higher-order thinking.

Author Biographies

Marufi Marufi, Departement of Mathematics Education, Faculty Teacher Training and Education, Universitas Cokroaminoto Palopo

Departement of Mathematics Education, Faculty Teacher Training and Education, Universitas Cokroaminoto Palopo

Suriani Canne, Departement of Mathematics Education, Faculty Teacher Training and Education, Universitas Cokroaminoto Palopo

Departement of Mathematics Education, Faculty Teacher Training and Education, Universitas Cokroaminoto Palopo

References

Beswick, K., & Fraser, S. (2019). Developing mathematics teachers’ 21st century competence for teaching in STEM contexts. ZDM, 51(6), 955-965. https://doi.org/10.1007/s11858-019-01084-2

Copur-Gencturk, Y. (2021). Teachers’ conceptual understanding of fraction operations: results from a national sample of elementary school teachers. Educational Studies in Mathematics, 107(3), 525-545. https://doi.org/10.1007/s10649-021-10033-4

Ginns, P., & Leppink, J. (2019). Special issue on cognitive load theory. Educational Psychology Review, 31(2), 255-259. https://doi.org/10.1007/s10648-019-09474-4

Gravemeijer, K., & Van Eerde, D. (2009). Design research as a means for building a knowledge base for teachers and teaching in mathematics education. Elementary School Journal, 109(5). https://doi.org/10.1086/596999

Fredriksen, H. (2021). Exploring Realistic Mathematics Education in a Flipped Classroom Context at the Tertiary Level. International Journal of Science and Mathematics Education, 19(2), 377–396. https://doi.org/10.1007/s10763-020-10053-1

Hasbi, M., Lukito, A., & Sulaiman, R. (2019). Mathematical connection middle-school students 8th in realistic mathematics education. In Journal of Physics: Conference Series (Vol. 1417, No. 1, p. 012047). IOP Publishing. https://doi.org/10.1088/1742-6596/1417/1/012047

Ikram, M., Manimpa, A. T., & Jumarniati, J. (2022). Analisis Pelevelan Penalaran Reversibel Siswa Dalam Menyelesaikan Masalah Pecahan. LINEAR: Journal of Mathematics Education, 3(1), 1. https://doi.org/10.32332/linear.v3i1.3773

Ikram, M., Purwanto, Nengah Parta, I., & Susanto, H. (2020a). Mathematical reasoning required when students seek the original graph from a derivative graph. Acta Scientiae, 22(6), 45–64. https://doi.org/10.17648/acta.scientiae.5933

Ikram, M., Purwanto, Parta, I. N., & Susanto, H. (2018). Students ’ Reversible Reasoning on Function Composition Problem : Reversible on Function and Subtitution. International Journal of Insights for Mathematics Teaching, 01(1), 9–24. https://doi.org/10.17478/jegys.665836

Ikram, M., Susanto, H., Purwanto, & Parta, I. N. (2020b). Did Undergraduate Students Really Establish Reversible Reasoning When Faced With Inverse Function Problem Situations? https://doi.org/10.2991/assehr.k.200827.112

Jäder, J., Lithner, J., & Sidenvall, J. (2020). Mathematical problem solving in textbooks from twelve countries. International Journal of Mathematical Education in Science and Technology, 51(7), 1120–1136. https://doi.org/10.1080/0020739X.2019.1656826

Kanes, C., Morgan, C., & Tsatsaroni, A. (2014). The PISA mathematics regime: Knowledge structures and practices of the self. Educational studies in Mathematics, 87(2), 145-165. https://doi.org/10.1007/s10649-014-9542-6

Kirschner, P. A., Sweller, J., Kirschner, F., & Zambrano R, J. (2018). From cognitive load theory to collaborative cognitive load theory. International journal of computer-supported collaborative learning, 13(2), 213-233. https://doi.org/10.1007/s11412-018-9277-y

Liu, H., Ludu, M., & Holton, D. (2015). Can K-12 math teachers train students to make valid logical reasoning? A question affecting 21st century skills. In Emerging technologies for STEAM education: Full STEAM ahead (pp. 331-353). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-02573-5_18

Lithner, J. (2017). Principles for designing mathematical tasks that enhance imitative and creative reasoning. ZDM - Mathematics Education, 49(6), 937–949. https://doi.org/10.1007/s11858-017-0867-3

Mata-Pereira, J., & da Ponte, J. P. (2017). Enhancing students’ mathematical reasoning in the classroom: teacher actions facilitating generalization and justification. Educational Studies in Mathematics, 96(2), 169–186. https://doi.org/10.1007/s10649-017-9773-4

Mueller, M., Yankelewitz, D., & Maher, C. (2014). Teachers promoting student mathematical reasoning. Investigations in Mathematics Learning, 7(2), 1-20. https://doi.org/10.1080/24727466.2014.11790339

Muslimin, Indra Putri, R. I., Zulkardi, & Aisyah, N. (2020). Learning integers with realistic mathematics education approach based on islamic values. Journal on Mathematics Education, 11(3), 363–384. https://doi.org/10.22342/JME.11.3.11721.363-384

Muzaini, M., Hasbi, M., Ernawati, E., & Kristiawati, K. (2022). The empowerment of problem-based learning models to improve students’ quantitative reasoning. Formatif: Jurnal Ilmiah Pendidikan MIPA, 12(1), 11-24. http://dx.doi.org/10.30998/formatif.v12i1.8502

Nursyahidah, F., Saputro, B. A., & Albab, I. U. (2021). Desain Pembelajaran Kerucut Berkonteks Tradisi Megono Gunungan. Jurnal Elemen, 7(1), 19–28. https://doi.org/10.29408/jel.v7i1.2655

Papadakis, S., Kalogiannakis, M., & Zaranis, N. (2017). Improving mathematics teaching in kindergarten with realistic mathematical education. Early Childhood Education Journal, 45(3), 369-378. https://doi.org/10.1007/s10643-015-0768-4

Pathuddin, H., Kamariah, & Ichsan Nawawi, M. (2021a). Buginese ethnomathematics: Barongko cake explorations as mathematics learning resources. Journal on Mathematics Education, 12(2), 295–312. https://doi.org/10.22342/jme.12.2.12695.295-312

Pathuddin, H., Kamariah, & Ichsan Nawawi, M. (2021b). Buginese ethnomathematics: Barongko cake explorations as mathematics learning resources. Journal on Mathematics Education, 12(2), 295–312. https://doi.org/10.22342/jme.12.2.12695.295-312

Prahmana, R. C. I. (2017). The role of research-based learning to enhance students’ research and academic writing skills. Journal of Education and Learning (EduLearn), 11(3), 351-366. https://doi.org/10.11591/edulearn.v11i3.5871

Prahmana, R. C. I., & D’Ambrosio, U. (2020). Learning geometry and values from patterns: Ethnomathematics on the batik patterns of yogyakarta, indonesia. Journal on Mathematics Education, 11(3), 439–456. https://doi.org/10.22342/jme.11.3.12949.439-456

Prahmana, R. C. I., Ramadhani, R., Arnal-Palacián, M., & Risdiyanti, I. (2023). Trivium curriculum in Ethno-RME approach: An impactful insight from ethnomathematics and realistic mathematics education (No. ART-2023-132573). https://doi.org/10.29408/jel.v9i1.7262

OECD. (2018). Programme for International Students Assesment (PISA) Result From PISA 2018.

Risdiyanti, I., & Prahmana, R. C. I. (2021). Designing Learning Trajectory of Set Through the Indonesian Shadow Puppets and Mahabharata Stories. Infinity Journal, 10(2), 331. https://doi.org/10.22460/infinity.v10i2.p331-348

Safrudiannur, & Rott, B. (2019). The different mathematics performances in PISA 2012 and a curricula comparison: enriching the comparison by an analysis of the role of problem solving in intended learning processes. Mathematics Education Research Journal, 31(2), 175–195. https://doi.org/10.1007/s13394-018-0248-4

Smit, R., Bachmann, P., Blum, V., Birri, T., & Hess, K. (2017). Effects of a rubric for mathematical reasoning on teaching and learning in primary school. Instructional science, 45(5), 603-622. https://doi.org/10.1007/s11251-017-9416-2

Tobias, J. M. (2013). Prospective elementary teachers’ development of fraction language for defining the whole. Journal of Mathematics Teacher Education, 16(2), 85–103. https://doi.org/10.1007/s10857-012-9212-5

Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic mathematics education. In Encyclopedia of mathematics education (pp. 713-717). Cham: Springer International Publishing.

Yilmaz, R. (2020). Prospective Mathematics Teachers ’ Cognitive Competencies on Realistic Mathematics Education. Journal on Mathematics Education, 11(1), 17–44. http://doi.org/10.22342/jme.11.1.8690.17-44

Downloads

Published

2024-09-27

How to Cite

Ikram, M., Marufi, M., & Canne, S. (2024). Design of an RME-Based Fractions Textbook in the Luwu Tourism Context to Stimulate Students’ Reasoning Skills . ETDC: Indonesian Journal of Research and Educational Review , 3(4), 232–255. https://doi.org/10.51574/ijrer.v3i4.4327

Issue

Section

Articles