Desain Pembelajaran Kerucut Berkonteks Tradisi Megono Gunungan

Farida Nursyahidah, Bagus Ardi Saputro, Irkham Ulil Albab


Geometry is an essential subject for students. However, geometry, especially the cone, remains a challenging material for students. Besides, we need the proper media and context for learning mathematics on cone material. This research aims to develop a learning trajectory that utilizes the Megono Gunungan tradition as a context in the learning process using the Indonesian Realistic Mathematics Education (PMRI) approach. The research method used is Design Research, which consists of three phases of the study: preliminary design, experimental design, and retrospective study. This study's outcome is designing a learning trajectory on cone material using the Megono Gunungan tradition. This learning trajectory comprises four activities, including observing the interactive video of the Megono Gunungan tradition to discover cone elements, finding the concept surface area of a cone using origami paper, and grasping the cone concept volume with magic seeds, and solving contextual problems related to the cone. Studies have shown that using the Megono Gunungan context could help students improve their understanding of the cone concept. Furthermore, this study hoped could be an inspiration for exploring another local wisdom that can be a context in learning mathematics.


cone; design research; learning trajectory; Megono Gunungan tradition; PMRI

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Adelabu, F. M., Makgato, M., and Ramaligela, M. S. (2019). The importance of Dynamic Geometry Computer Software on learners’ performance in geometry. The Electronic Journal of E-Learning, 17(1), 52-63. Diambil dari

Alex, J. K., & Mammen, K. J. (2012). A survey of South African grade 10 learners’ geometric thinking levels in terms of the Van Hiele theory. Anthropologist, 14(2), 123-129.

Anderson, T., & Shattuck, J. (2012). Design-based research. Educational Researcher, 41(1), 16-25.

Arifin, Yusmin, E., & Hamdani. (2018). Analisis kesulitan belajar siswa pada materi bangun ruang sisi lengkung di SMP. Jurnal Pendidikan dan Pembelajaran Khatulistiwa, 6(4), 1-13.

Armah, R. B., Cofie, P. O., & Okpoti, C. A. (2018). Investigating the effect of van Hiele Phasebased instruction on pre-service teachers’ geometric thinking. International Journal of Research in Education and Science (IJRES), 4(1), 314-330.

Bakker, A. (2004). Design research in statistics education-on symbolizing and computer tools. Utrecht: CD Beta Press.

Bhagat, K. K., & Chang, C. (2015). Incorporating GeoGebra into geometry learning:A lesson from India. Eurasia Journal of Mathematics, Science & Technology Education, 11(1), 77-86.

Bustang, Zulkardi, Darmowijoyo, Dolk, M. & Van Eerde, D. (2013). Developing a local instruction theory for learning the concept of angle through visual field activites and spatial representation. International Education Studies. 6(8). 58-70

Clements, D. H., & Sarama, J. (2011). Early childhood teacher education: The case of geometry. Journal of Mathematics Teacher Education, 14(2), 133–148.

Couto, A., & Vale, I. (2014). Pre-service teachers’ knowledge on elementary geometry concepts. Journal of the European Teacher Education Network, 9, 57–73. Diambil dari

Doğruer, S. S. (2018). Developing eighth grade students’ mathematical practices in solids through argumentation: A design-based study. Disertasi tidak dipublikasikan, Ankara, Middle East Technical University. Diambil dari

Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. Dalam (Eds) van den Akker, J., Gravemeijer, K., McKenney, S., & Nieveen, N., Educational design research (h.17-51). New York: Routledge.

Haris, D., & Putri, R.I.I. (2011). The role of context in third graders’ learning of area measurement. Journal on Mathematics Education, 2(1), 55-66. https://10.22342/jme.2.1.778.55-66.

Juwita, H., Putri, R. I. I., & Somakim. (2015). Peranan buah semangka dalam pembelajaran volume bola. Jurnal Elemen, 1(2), 130-143.

Kemendikbud. (2016). Lampiran Permendikbud Nomor 24 Tahun 2016 Tentang Standar Kompetensi Isi dan Kompetensi Dasar Pendidikan Dasar dan Menengah. Jakarta: Kemendikbud.

Keşan, C., & Çalışkan, S. (2013). The effect of learning geometry topics of 7th grade in primary education with dynamic Geometer's Sketchpad geometry software to success and retention. TOJET: The Turkish Online Journal of Educational Technology, 12(1), 131-138. Diambil dari

Lithner, J. (2011). University Mathematics Students’ Learning Difficulties. Education Inquiry, 2(2) 289 – 303.

Mostafa, M., Javad, M. L., & Reza, O. (2016). The effect of Van Hiele Theory-Based teaching educational package on achievement goal orientation of student teachers. Review of European Studies, 9(1), 93-105.

Najafipour, M., & Jafari, E. M. (2013). The effect of the active teaching method on the academic achievement in the religious concepts. Procedia-Social and Behavioral Sciences, 83, 204-207.

Nasrullah & Zulkardi. (2011). Building counting by traditional game a mathematics program for young children. Journal on Mathematics Education, 2(1), 41-54.

National Council of Teachers of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

Novita, R., Prahmana, R. C. I., Fajri, N., & Putra, M. (2018). Penyebab kesulitan belajar geometri dimensi tiga. Jurnal Riset Pendidikan Matematika, 5(1), 18-29.

Nursyahidah, F., Putri, R. I. I., & Somakim. (2013). Supporting first grade student’s understanding of addition up to 20 using traditional game. IndoMS-JME, 4(2), 212–223.

Nursyahidah, F., Putri, R. I. I., & Somakim. (2014). Instructional design of subtraction using PMRI approach based on traditional game. Proceeding of the 2nd SEA-DR. Palembang: Universitas Sriwijaya. Diambil dari

Nursyahidah, F., Saputro, B. A., & Rubowo, M. R. (2018). A secondary student’s problem solving ability in learning based on realistic mathematics with ethnomathematics. Journal of Research and Advances in Mathematics Education, 3(1), 13-24.

Nursyahidah, F., Saputro, B. A., Albab, I., & Aisyah, F. (2020). Pengembangan learning trajectory-based instruction materi kerucut menggunakan konteks Megono Gunungan. Mosharafa: Jurnal Pendidikan Matematika, 9(1), 47-58.

Nursyahidah, F., Saputro, B. A., & Albab, I. (2020). Learning reflection through the context of Central Java historical building. Journal of Physics: Conference Series, 1567 022095. 1-6.

Özdemir, B. G. (2017). Mathematical practices in a learning environment designed by Realistic Mathematics Education: Teaching experiment about cone and pyramid. European Jornal of Education Studies, 3(5), 405-430.

Prahmana, R. C. I., Zulkardi, & Hartono, Y. (2012). Learning multiplication using indonesian traditional game in third grade. Journal on Mathematics Education, 3(2), 115-132.

Prahmana, R. C. I. (2017). Design research (teori dan implementasinya: suatu pengantar). Jakarta: Rajawali Pers.

Putri, R. I. I., & Zulkardi. (2019). Designing jumping task on percent using PMRI and collaborative learning. International Journal on Emerging Mathematics Education (IJEME), 3(1), 105-115.

Putri, R. I. I., & Zulkardi. (2017). Fraction in shot-put: A learning trajectory. AIP Conference Proceedings, (1)1868, 050005.

Risdiyanti, I., Prahmana, R. C. I., & Shahrill, M. (2019). The learning trajectory of social arithmetic using an Indonesian traditional game. Elementary Education Online, 18(4), 2094-2108.

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.

Serin, H. (2018). Perspectives on the teaching of geometry: Teaching and learning methods. Journal of Education and Training, 5(1), 1-7

Sinclair, N., & Bruce, C. (2015). New opportunities in geometry education at the primary school. ZDM Mathematics Education, 47(3), 319-329.

Yanti, W., Hartono, Y., & Somakim. (2016). Desain pembelajaran peluang dengan pendekatan PMRI menggunakan kupon undian untuk siswa kelas VII. Jurnal Elemen, 2(1), 56-71.

Yavuz, A., Aydin, B. & Avci, M. (2016). The effect of the success in teaching geometry of basic level education mathematics. European Journal of Education Studies, 2(8), 59-71.

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