How do students use mathematical reasoning to solve PISA-type mathematics problems based on making kite contexts?
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Abstract
According to the PISA 2022 study, Indonesian students' mathematical literacy and mathematical reasoning skills are low. In fact, students need mathematical reasoning skills to face the complex challenges of life in the 21st century. Therefore, this study developed PISA-type math problems grounded in kite-making to support students' mathematical reasoning. Using real contexts that are familiar to students' daily lives can make it easier for them to understand and solve problems. This research uses a development study carried out in three stages: preliminary research, prototyping, and assessment. The data collection techniques used were tests, interviews, observations, and documentation. The data were analyzed using qualitative descriptive analysis to see the characteristics and potential effects of the questions developed. The results showed that PISA-type math problems based on the kite-making context supported students' mathematical reasoning. Students can connect mathematical concepts such as area, perimeter, and ratio to real-life situations, including the size of kite materials, the ability of kites to catch the wind, and the ability of kites to fly high. This research provides an alternative to PISA-type mathematics problems, with a familiar context, that can support students' mathematical reasoning. In addition, the results of this study can serve as a reference for educators and education policymakers in Indonesia in developing relevant, context-specific PISA-type questions to increase students' mathematical literacy scores at the national and international levels.
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Ahyan, S., Zulkardi, Z., & Darmawijoyo, D. (2014). Developing mathematics problems based on PISA level of change and relationships content. Journal on Mathematics Education, 5(1), 47–56. https://doi.org/10.22342/jme.5.1.1448.47-56
Autin, G. H. (2007). The artist teacher uses proportions, the math teacher helps students understand the how and why, fractions fly the kites. Journal for Learning through the Arts, 3(1). https://doi.org/10.21977/d93110055
Bakker, A. (2018). Design research in education: A practical guide for early career researchers. Routledge. https://doi.org/10.4324/9780203701010
Berisha, V., Ferizi Miftari, J., & Klinaku, J. (2020). Features of tasks in teacher-made mathematics tests for classroom assessment. The International Journal of Assessment and Evaluation, 28(1), 33–49. https://doi.org/10.18848/2327-7920/CGP/v28i01/33-49
Charmila, N., Zulkardi, Z., & Darmawijoyo, D. (2016). Pengembangan soal matematika model PISA menggunakan konteks Jambi [Development of PISA model mathematics questions using the Jambi context]. Jurnal Penelitian dan Evaluasi Pendidikan, 20(2), 198–207. https://doi.org/10.21831/pep.v20i2.7444
de Lange, J. (1995). Assessment: No change without problems. In T. A. Romberg (Ed.), Reform in school mathematics and authentic assessment (pp. 87–172).
de Lange, J. (2006). Mathematical literacy for living from OECD-PISA perspective. Tsukuba mathematics education research, 25, 13–35. https://cir.nii.ac.jp/crid/1520290882875156736
Ernie, K., LeDocq, R., Serros, S., & Tong, S. (2023). Mathematical reasoning: Challenging students' beliefs about mathematics. In R. A. R. Gurung, N. L. Chick, & A. Haynie (Eds.), Exploring signature pedagogies: Approaches to teaching disciplinary habits of mind (pp. 260–279). Routledge. https://doi.org/10.4324/9781003444732-18
Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In J. Van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp. 29–63). Routledge. https://doi.org/10.4324/9780203088364-12
Gravemeijer, K., Stephan, M., Julie, C., Lin, F.-L., & Ohtani, M. (2017). What mathematics education may prepare students for the society of the future? International Journal of Science and Mathematics Education, 15(1), 105–123. https://doi.org/10.1007/s10763-017-9814-6
Harisman, Y., Mayani, D. E., Armiati, A., Syaputra, H., & Amiruddin, M. H. (2023). Analysis of student's ability to solve mathematical literacy problems in junior high schools in the city area. Infinity Journal, 12(1), 55–68. https://doi.org/10.22460/infinity.v12i1.p55-68
Hasanah, M. N., Darmawijoyo, D., & Hiltrimartin, C. (2023). Development of mathematical modelling teaching materials on mathematics perception of junior high school students. Kreano, Jurnal Matematika Kreatif-Inovatif, 14(1), 97–110.
Hilmi, F., Darmawijoyo, D., & Mulyono, B. (2024). The development of student worksheets based on mathematical modeling learning using kite flying context for high school students. AIP Conference Proceedings, 3052(1), 020012. https://doi.org/10.1063/5.0201059
Hsbollah, H. M., & Hassan, H. (2022). Creating meaningful learning experiences with active, fun, and technology elements in the problem-based learning approach and its implications. Malaysian Journal of Learning and Instruction, 19(1), 147–181. https://doi.org/10.32890/mjli2022.19.1.6
Isamer, N. P., Putri, R. I. I., & Zulkardi, Z. (2024). Designing project in pilot experiment: Kite project. AIP Conference Proceedings, 3052(1), 020034. https://doi.org/10.1063/5.0201086
Jablonski, S. (2023). Real objects as a reason for mathematical reasoning – A comparison of different task settings. International Electronic Journal of Mathematics Education, 18(4), em0758. https://doi.org/10.29333/iejme/13859
Kamaliyah, K., Zulkardi, Z., & Darmawijoyo, D. (2013). Developing the sixth level of PISA-like mathematics problems for secondary school students. Journal on Mathematics Education, 4(1), 9–28. https://doi.org/10.22342/jme.4.1.559.9-28
Kholid, M. N., Rofi’ah, F., Ishartono, N., Waluyo, M., Maharani, S., Swastika, A., Faiziyah, N., & Sari, C. K. (2022). What are students’ difficulties in implementing mathematical literacy skills for solving PISA-like problem? Journal of Higher Education Theory and Practice, 22(2), 181–200. https://doi.org/10.33423/jhetp.v22i2.5057
Kohar, A. W., Wardani, A. K., & Fachrudin, A. D. (2019). Profiling context-based mathematics tasks developed by novice PISA-like task designers. Journal of Physics: Conference Series, 1200(1), 012014. https://doi.org/10.1088/1742-6596/1200/1/012014
Krulik, S., & Rudnick, J. A. (1995). The new sourcebook for teaching reasoning and problem solving in elementary school. Allyn & Bacon.
Marasabessy, R. (2021). Study of mathematical reasoning ability for mathematics learning in schools: A literature review. Indonesian Journal of Teaching in Science, 1(2), 79–90. https://doi.org/10.17509/ijotis.v1i2.37950
Niss, M. (2015). Mathematical competencies and PISA. In K. Stacey & R. Turner (Eds.), Assessing mathematical literacy: The PISA experience (pp. 35–55). Springer International Publishing. https://doi.org/10.1007/978-3-319-10121-7_2
Nurazizah, I., & Zulkardi, Z. (2022). Students’ mathematical reasoning ability in solving PISA-like mathematics problem COVID-19 context. Jurnal Elemen, 8(1), 250–262. https://doi.org/10.29408/jel.v8i1.4599
OECD. (2023). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/53f23881-en
Oktiningrum, W., Zulkardi, Z., & Hartono, Y. (2016). Developing PISA-like mathematics task with Indonesia natural and cultural heritage as context to assess students mathematical literacy. Journal on Mathematics Education, 7(1), 1–8. https://doi.org/10.22342/jme.7.1.2812.1-8
Özaydin, Z., & Arslan, Ç. (2022). Assessment of mathematical reasoning competence in accordance with PISA 2021 mathematics framework. Kuramsal Eğitimbilim, 15(3), 453–474. https://doi.org/10.30831/akukeg.1027601
Plomp, T., & Nieveen, N. (2013). An introduction to educational design research. Netherlands Institute for Curriculum Development (SLO).
Risnanosanti, R., Ristontowi, R., & Ramadianti, W. (2024). Mathematics concepts in making kites as a tool in ethno-STEM based learning. International Journal of STEM Education for Sustainability, 4(1), 24–37. https://doi.org/10.53889/ijses.v4i1.301
Szabo, Z. K., Körtesi, P., Guncaga, J., Szabo, D., & Neag, R. (2020). Examples of problem-solving strategies in mathematics education supporting the sustainability of 21st-century skills. Sustainability, 12(23), 10113. https://doi.org/10.3390/su122310113
Tesmer, M. (1993). Planing and conducting formative evaluations: Improving the quality of education and training. Kogan page.
Verhage, H., & de Lange, J. (1997). Mathematics education and assessment. Pythagoras, 42, 14–20.
Widodo, S., Turmudi, T., & Rosjanuardi, R. (2019). Delta, diamond, and fighter kites project in geometry class. Journal of Physics: Conference Series, 1387(1), 012141. https://doi.org/10.1088/1742-6596/1387/1/012141
Wijaya, T. T., Hidayat, W., Hermita, N., Alim, J. A., & Talib, C. A. (2024). Exploring contributing factors to PISA 2022 mathematics achievement: Insights from Indonesian teachers. Infinity Journal, 13(1), 139–156. https://doi.org/10.22460/infinity.v13i1.p139-156
Zulkardi, Z. (2002). Developing a learning environment on realistic mathematics education for Indonesian student teachers. Doctoral dissertation. Enschede: University of Twente. Retrieved from https://repository.unsri.ac.id/871
Zulkardi, Z., & Kohar, A. W. (2018). Designing PISA-like mathematics tasks in Indonesia: Experiences and challenges. Journal of Physics: Conference Series, 947(1), 012015. https://doi.org/10.1088/1742-6596/947/1/012015