The Learning Trajectory of Sphere Using Megono Gunungan Tradition Context

Farida Nursyahidah, Bagus Ardi Saputro, Irkham Ulil Albab


This study aims to develop a learning trajectory by utilizing the local wisdom of the Megono Gunungan tradition to help students grasp the sphere's notion. This research applied the approach of the Indonesian Realistic Mathematical Approach (PMRI). Ninth-grade students at SMP 38 Semarang, Central Java, Indonesia, were the subjects of this study. The methodology used is based on Graveimeijer and Cobb's three steps of design research: preliminary design, design experiment, and retrospective analysis. Numerous data collection methods were used, involving video, photography, the outcome of students' worksheets, and student interviews. The learning trajectory comprises four activities: identifying sphere components using the Megono Gunungan tradition interactive video context, discovering the sphere surfaces area using orange fruit, finding the sphere's volume through rice media, and solving problems of the sphere. This study's findings signify that the utilization of the Megono Gunungan tradition context could encourage learners to recognize the concept of the sphere through a sequence of designed activities.


Learning Trajectory; Sphere; Megono Gunungan Tradition; Design Research

Full Text:



Adolphus, T. (2011). Problems of Teaching and Learning Geometry in Secondary Schools in Rivers State, Nigeria. Int. J. Emerg. Sci., 1(2), 143-152.

Anugrah, A. & Pujiastuti, H. (2020). Analisis Kesalahan Siswa dalam Menyelesaikan Soal HOTS Bangun Ruang Sisi Lengkung. Jurnal Pendidikan Matematika, 11(2), 213-225.

Arbowo, B. W., Lestari, A. A. P., Aisyah, F., & Nursyahidah, F. (2018). Developing Student’s Activity with Wisanggeni Puppet Context to Enhance Students’ Understanding of Addition and Subtraction Thousands Number. MISEIC. MISEIC. (Surabaya: UNESA).

Aysen, O. (2012). Misconceptions in geometry and suggested solutions for seventh-grade students. International Journal of New Trends in Arts, Sports and Science Education, 1(4), 1-13.

Bakker, A. (2004). Design Research in Statistic Education on Symbolizing and Computer tools. Amersfoort: Wilco Press.

Bustang, Zulkardi, Darmowijoyo, dolk, M. & Van Eerde, D. (2013). Developing a Local Instruction Theory for learning the Concept of Angle through Visual Field Activities and Spatial Representation. International Education Studies. 6(8).

Darwish, A. H. (2014). The Abstract Thinking Levels of the Science Education Students in Gaza Universities. Asia-Pacific Forum on Science Learning and Teaching, 15(2), 1-24.

Fabiyi, T. R. (2017). Geometry Concepts in Mathematics Perceived Difficult To Learn By Senior Secondary School Students in Ekiti State, Nigeria. IOSR Journal of Research & Method In Education (IOSRJRME), 7(1), 83-90.

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. Jramathedu (Journal of Research and Advances In Mathematics Education), 3(2), 78-85.

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

Gravemeijer, K. & Eerde, V. S. (2009). Design Research as a Means for Building a Knowledge Base for Teaching in Mathematics Education. The Elementary School Journal, 109(5).

Helsa, Y. & Hartono, Y. (2011). Designing Reflection and Symmetry Learning by Using Math Traditional Dance in Primary School. Journal on Mathematics Education, 2(1), 79-94.

Mashingaidze, S. (2012). The Teaching of Geometric (Isometric) Transformations at Secondary School Level: What Approach to Use and Why? Asian Social Science, 8(15).

Markopoulos, C., Chaseling, M., Petta, Κ., Lake, W. & Boyd, W. (2015) Pre-Service Teachers' 3D Visualization Strategies. Creative Education, 6(10), 1053-1059.

Melo, H. S. & Martins, M. C. (2015). Behaviors and Attitudes in the Teaching and Learning of Geometry. European Scientific Journal August, 98-104.

Nofriati, N. F., Hartono, Y., & Somakim. Learning Direct and Inverse Proportion Using Musi Tour. International Journal on Emerging Mathematics Education, 3(2).

Nuraida, I. (2017). Analisis Kesalahan Penyelesaian Soal Bangun Ruang Sisi Lengkung Siswa Kelas IX SMP Negeri 5 Kota Tasikmalaya. Jurnal Teori dan Riset Matematika (TEOREMA), 1(2), 25-30.

Nursyahidah, F., Ilma, R., & Somakim, S. (2013). Supporting First Grade Student's Understanding of Addition up to 20 Using Traditional Game. Journal on Mathematics Education, 4(2), 212-223.

Nursyahidah, F., Ilma, R., & Somakim. (2014). Instructional Design of Subtraction Using PMRI Approach Based on Traditional Game. SEA-DR, Palembang.

Nursyahidah, F., Saputro, B. A., & Rubowo, M. R. (2018). A Secondary Student's Problem Solving Ability in Learning Based on Realistic Mathematics with Ethnomathematics. JRAMathEdu, 3(1), 13–24.

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

Ozerem, A. (2012). Misconceptions in Geometry and Suggested Solutions for Seventh Grade Students. Journal of New Trends in Arts, Sports and Science Education, 1(4), 23-25.

Prahmana, R. C. I. (2017). Design Research (Theory and its implementation: An Introduction). Jakarta: Rajawali Pers.

Prahmana, R., Zulkardi, Z., & Hartono, Y. (2012). Learning Multiplication Using Indonesian Traditional game in Third Grade. Journal on Mathematics Education, 3(2), 115-132.

Puri, R. I. I. (2012). Developing learning trajectory using traditional games in supporting students learning greatest common divisor in Indonesian primary school. Proceeding 12th ICME COEX Soul Korea, 2012, 1, 7721.

Putri, R. I. I, & Zulkardi. (2018). Noticing Students Thinking and Quality of Interactivity during Mathematics Learning. Proceedings of First Indonesian Communication Forum of Teacher Training and Education Faculty Leaders International Conference on Education 2017 (ICE 2017), Paris.

Sack, J. J. (2013). Development of a Top-View Numeric Coding Teaching-Learning Trajectory within an Elementary Grades 3-D Visualization Design Research Project. The Journal of Mathematical Behavior, 32, 183-196.

Sembiring, Robert K. (2010). Pendidikan Matematika Realistik Indonesia (PMRI) : Perkembangan dan Tantangannya. Journal on Mathematics Education, 1(1), 11-16

Sunzuma, G. & Maharaj A. (2019). In-service Teachers' Geometry Content Knowledge: Implications for how Geometry is Taught in Teacher Training Institutions. International Electronic Journal of Mathematics Education, 14(3), 633-646.

Tandiseru, S. R. (2015). The Effectiveness of Local Culture-Based Mathematical Heuristic-KR Learning towards Enhancing Student's Creative Thinking Skill. Journal of Education and Practice, 6(12), 74-81.

Yeh, C. Y., Cheng, H. N., Chen, Z. H., Liao, C. C., & Chan, T. W. (2019). Enhancing achievement and interest in mathematics learning through Math-Island. Research and Practice in Technology Enhanced Learning, 14(1), 1-19.

Zulkardi, Z. (2002). Developing a learning environment on realistic mathematics education for Indonesian student teachers (Doctoral dissertation, University of Twente, Enschede).

Zulkardi, Z., Putri, R. I. I., & Wijaya, A. (2020). Two decades of realistic mathematics education in Indonesia. In International reflections on the Netherlands didactics of mathematics (pp. 325-340). Springer, Cham.



  • There are currently no refbacks.

Copyright (c) 2021 Farida Nursyahidah, Bagus Ardi Saputro, Irkham Ulil Albab

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

International Journal on Emerging Mathematics Education
Kampus 2 Universitas Ahmad Dahlan
Jalan Pramuka No. 42, Pandeyan, Umbulharjo, Yogyakarta - 55161
Telp. (0274) 563515, ext. 4902; Fax. (0274) 564604

p-ISSN: 2549-4996 | e-ISSN: 2548-5806

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

View IJEME's Stats