Learning Design of Sphere using Realistic Mathematics Education Assisted by Interactive Video
Abstract
Numerous studies, particularly in sphere material, have highlighted students' challenges in grasping the notion of geometry. Typically, the teacher only teaches the subject using the formula, omitting the notion altogether. Moreover, this study intends to create a hypothetical learning trajectory for the sphere material by incorporating the Syawalan tradition from Pekalongan into the learning process through the Indonesian Realistic Mathematics Education approach, or PMRI. The methodology employed is design research, divided into three stages: preliminary design, design experiment, and retrospective analysis. As a result, this study focuses exclusively on the outcomes of the design experiment process, namely the pilot experiment. Video recordings, photographs, observations, deep interviews, documentation, field memos, and student activity sheets were all used to collect and analyze data to improve HLT. The outcome of this study is a hypothetical learning trajectory for sphere material in the context of the Syawalan tradition. The student learning sequence comprises four series, which include observing an interactive video of the syawalan tradition context to characterize sphere elements, utilizing orange fruit to find the sphere's surface area, discovering the sphere's volume through the cylinder and magic seeds, and resolving sphere-related contextual problems. Additionally, the activities devised in this study can potentially develop students' interest and conception of sphere material in the ninth grade.
Keywords
Full Text:
PDFReferences
Aisyah, F., Lestari, A. A. P., Supriyanto, M. A., & Nursyahidah, F. (2021). Exploration of sam poo kong building heritage as starting point in geometric transformation course. Jurnal Pendidikan Matematika, 16(1), 15–28. https://doi.org/10.22342/jpm.16.1.13073.15-28.
Ardani, A. S., Putri, R. I. I., Susanti, E. (2023). Learning rotation using the context of Palembang songket fabric motif for 3rd grade secondary school. Jurnal Pendidikan Matematika, 17(2), 189 – 208. https://doi.org/10.22342/jpm.17.2.17447.189-208.
Barrantes, M., & Blanco, L. J. (2006). A study of prospective primary teachers’ conceptions of teaching and learning school geometry. Journal of Mathematics Teacher Education, 9(5), 411–436. https://doi.org/10.1007/s10857-006-9016-6.
Bustang, Zulkardi, Darmawijoyo, Dolk, M., & van Eerde, D. (2013). Developing a local instruction theory for learning the concept of angle through visual field activities and spatial representations. International Education Studies, 6(8), 58–70. https://doi.org/10.5539/ies.v6n8p58.
Chiphambo, S. M., & Mtsi, N. (2021). Exploring grade 8 students’ errors when learning about the surface area of prisms. Eurasia Journal of Mathematics, Science and Technology Education, 17(8), 1–10. https://doi.org/10.29333/EJMSTE/10994.
Deda, Y. N., & Maifa, T. (2021). Development of student worksheets using the context of local wisdom on integers and fractions. Jurnal Pendidikan Matematika, 15(1), 71-82. https://doi.org/10.22342/jpm.v.i.12824.71-82.
Fahrurozi, A., Maesaroh, S., Suwanto, I., & Nursyahidah, F. (2018). Developing learning trajectory-based instruction of the congruence for ninth grade using central java historical building. Journal of Research and Advances in Mathematics Education, 3(2),78-85. https://doi.org/10.23917/jramathedu.v3i2.6616
Fajriyah, N. M., & Putri, R. I. I. (2018). Rowing sport in learning fractions of the fourth-grade students. Journal on Mathematics Education, 9(1), 69–80. https://doi.org/10.22342/jme.9.1.4270.69-80.
Ghofur, A., & Ismanto, K. (2022). Contribution of local wisdom as a halal tourism attraction: case study of Pekalongan city Central Java Indonesia. International Journal of Islamic Business and Economics. 6(1). 52-62. https://doi.org/10.28918/ijibec.v6i1.5199.
Gravemeijer, K. P. E. & Cobb, P. (2006). Design research from a learning design perspective. In J. Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational Design Research (pp. 45-85). Taylor and Francis Ltd. https://research.tue.nl/en/publications/design-research-from-a-learning-design-perspective.
Juman, Z. A. M. S., Mathavan, M., Ambegedara, A.S., & Udagedara, I. G. K. (2022). Difficulties in learning geometry component in mathematics and active-based learning methods to overcome the difficulties. Shanlax International Journal of Education, 10(2), 2022, pp. 41–58. https://doi.org/10.34293/education.v10i2.4299.
Juwita, H., Putri, R. I. I., & Somakim. (2015). The role of watermelon in learning the volume of a sphere [in Bahasa]. Jurnal Elemen, 1(2).130-143. https://doi.org/10.29408/jel.v1i2.145.
Mahadewi, N. K. N., Ardana, I. M., & Mertasari, N. M. S. (2020). Mathematical communication skills through the reciprocal teaching model assisted by interactive media [in Bahasa]. JNPM (Jurnal Nasional Pendidikan Matematika), 4(2), 338. https://doi.org/10.33603/jnpm.v4i2.3606.
Mamiala, D., Mji, A., & Simelane-Mnisi, S. (2021). Students’ interest in understanding geometry in south african high schools. Universal Journal of Educational Research, 9(3), 487–496. https://doi.org/10.13189/ujer.2021.090308.
Meryansumayeka, Zulkardi, Putri, R. I. I., & Hiltrimartin, C. (2022). Designing geometrical learning activities assisted with ICT media for supporting students’ higher order thinking skills. Journal on Mathematics Education, 13(1), 135–148. https://doi.org/10.22342/jme.v13i1.pp135-148.
Muzaini, M., Rahayuningsih, S., Ikram, M., & Nasiruddin, F. A. Z. (2023). Mathematical creativity: student geometrical figure apprehension in geometry problem-solving using new auxiliary elements. International Journal of Educational Methodology, 9(1), 139-150. https://doi.org/10.12973/ijem.9.1.139.
Nuraida, E. M., & Putri, R. I. I. (2020). The context of archipelago traditional cake to explore students’ understanding in integers division in class VII. Jurnal Pendidikan Matematika, 14(1), 91-100. https://doi.org/10.22342/jpm.14.1.7400.91-100.
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), 022095. https://doi.org/10.1088/1742-6596/1567/2/022095.
Nursyahidah, F., & Albab, I. U. (2021). Learning design on surface area and volume of cylinder using Indonesian ethno-mathematics of traditional cookie maker assisted by GeoGebra. Mathematics Teaching Reasearch Journal, 79(4). https://commons.hostos.cuny.edu/mtrj/
Nursyahidah, F., Albab, I. U., & Saputro, B. A. (2021). Learning dilation through lawang sewu context. Journal of Physics: Conference Series, 1957(1), 012001. https://doi.org/10.1088/1742-6596/1957/1/012001.
Özerem, A. (2012). Misconceptions in geometry and suggested solutions for seventh grade students. Procedia-Social and Behavioral Sciences, 55, 720–729. https://doi.org/10.1016/j.sbspro.2012.09.557.
Pradhipta, R. M.W. A., Nofiyanti, F., Mayasari, I., & Yulianti, D. (2021). Analysis characteristic of the giant lopis symbolism cakes in the celebration of syawalan the village culture sumbawan Pekalongan. International Journal of Social Science and Human Research. 4(2).207-212. https://doi.org/10.47191/ijsshr/v4-i2-13.
Putri, R. I. I., & Zulkardi. (2018). Learning fraction through the context of asian games 2018. Journal of Physics: Conference Series, 1088(1), 012023. https://doi.org/10.1088/1742-6596/1088/1/012023.
Risdiyanti, I., & Prahmana, R. C. I. (2020). The learning trajectory of number pattern learning using barathayudha war stories and uno stacko. Journal on Mathematics Education, 11(1), 157–166. https://doi.org/10.22342/jme.11.1.10225.157-166.
Saputro, B. A., Prayito, M., & Nursyahidah, F. (2015). Geometry learning media using a realistic mathematics education approach based on GeoGebra [in Bahasa]. Kreano, 6(1), 33–38. https://doi.org/10.15294/kreano.v6i1.3757.
Sari, D. L., & Nursyahidah, F. (2022). Learning design for statistics materials using the context of traditional market assisted by interactive videos. Jurnal Elemen, 8(1), 29–42. https://doi.org/10.29408/jel.v8i1.4067.
Sühendan, E. R. Zerrin, T., & Seçil, Y. (2022). In-service teachers’ opinions about the use of video-based self-reflective thinking for pedagogical development. Journal of Theoretical Educational Science, 15(3), 639-660. http://doi.org/10.30831/akukeg.1039752.
Sutiarso, S., & Coesamin, M. (2018). The effect of various media scaffolding on increasing understanding of students’ geometry concepts. Journal on Mathematics Education, 9(1), 95–102. https://doi.org/10.22342/jme.9.1.4291.95-102.
Susanta, A., Sumardi, H., & Zulkardi. (2022). Development of e-module using Bengkulu contexts to improve literacy skills of junior high school students. Jurnal Pendidikan Matematika, 16(2), 171-186. https://doi.org/10.22342/jpm.16.2.17698.171-186.
Uge, S., Neolaka, A., & Yasin, M. (2019). Development of social studies learning model based on local wisdom in improving students’ knowledge and social attitude. International Journal of Instruction, 12(3), 375–388. https://doi.org/10.29333/iji.2019.12323a.
Widiawati, Indrayati, H., & Siswanto, H. (2019). The use of sunflower seeds in learning the volume of a sphere in class [in Bahasa]. Jurnal Pendidikan Matematika: Judika Education, 2(1), 66-72. https://doi.org/10.31539/judika.v2i1.759.
Widjaja, W. (2013). The use of contextual problems to support mathematical learning. Journal on Mathematics Education, 4(2). 151-159. https://doi.org/10.22342/jme.4.2.413.151-159.
Yavuz, A., Ayd?n, B., & Avc?, M. (2016). The effect of the success in teaching geometry of basic level education mathematics. European Journal of Education Studies, 2(8), 59–71. https://doi.org/10.5281/zenodo.162458.
DOI: https://doi.org/10.22342/jpm.17.3.20040.297-312
Jl. Srijaya Negara, Bukit Besar
Palembang - 30139 Indonesia
Jurnal Pendidikan Matematika is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Indexed in: