GEOMETRIC CONCEPTS IN JAMBI BATIK: DEVELOPING A HYPOTHETICAL LEARNING TRAJECTORY FOR REFLECTION MATERIAL
DOI: https://doi.org/10.30605/pedagogy.v10i4.7398
Hypothetical Learning Trajectory, PMRI, Refleksi Geometri, Batik
Abstract
Learning geometric transformations often presents challenges for students due to their abstract nature and limited connection to real-world contexts. Reflection is one of the most difficult concepts for students to understand. This study aims to design a Hypothetical Learning Trajectory (HLT) for geometric reflection using the PMRI approach through the context of Batik Jambi. This research employed a design research approach in the preliminary design phase, with data co llected through teacher interviews and literature studies. The result is a five-stage HLT design that utilizes the Bungo Melati motif as a symmetry context, guiding students from concrete experiences toward formal understanding through progressive mathematization. The findings indicate that incorporating the Batik Jambi context can enhance students’ comprehension of reflection while also connecting mathematics learning with local cultural values. This HLT design has the potential to serve as a foundation for developing a Local Instructional Theory (LIT) for more meaningful and contextualized geometry learning.
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Abdullah, A. S., Richardo, R., & Mubarok, C. (2025). Ethnomathematics of Batik Giriloyo: Mathematical practices in local cultural production. Journal of Education, Culture and Society, 16(1), 45–60. DOI: https://doi.org/10.15503/jecs2025.2.433.449
Andelia, I. S. K., Wijayanti, R. . R., & Faulina, R. (2022). Analisis Pemahaman Konsep Geometri Transformasi dalam Penerapan Etnomatematika Budaya Batik Tulis Tanjung Bumi. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(2), 1797–1809. https://doi.org/10.31004/cendekia.v6i2.1384 DOI: https://doi.org/10.31004/cendekia.v6i2.1384
Fachrunnisa, R., & Sari, F. K. (2023). Transformasi geometri pada motif Batik Melati Desa Kebon Bayat Klaten. Jurnal Cendekia: Jurnal Pendidikan Matematika, 7(1), 112–124. DOI: https://doi.org/10.24127/ajpm.v12i1.5961
Gravemeijer, K., & Cobb, P. (2006). Design research from the learning design perspective.
Gravemeijer, K. & Eerde, V. S. (2009). Design research as a Means for Building aKnowledge Base fo Teaching in Mathematics Education. The Elementary School Journal. Volume 109 Number 5. DOI: https://doi.org/10.1086/596999
Gustiningsi, T., Putri, R. I. I., Zulkardi, & Hapizah. (2023). Designing Hypothetical Learning Trajectory for Rectangular Area Using Patchwork. AIP Conference Proceedings, 2811(1), 020009. American Institute of Physics.
https://doi.org/10.1063/5.0142279 DOI: https://doi.org/10.1063/5.0142279
Gustiningsi, T., & Utari, R. S. (2020). Penerapan Pendekatan PMRI Bagi Relawan Komunitas Pendidikan Dalam Pembelajaran Matematika. Prosiding Seminar Nasional Pendidikan Program Pascasarjana, Universitas PGRI Palembang, Indonesia.
Hidayati, & Sugeng. (2021). Penerapan transformasi geometri pada desain batik Lia Maido menggunakan Desmos. Jurnal PRIMATIKA, 10(2), 1–8. DOI: https://doi.org/10.30872/primatika.v10i2.711
Hlongwana, P. (2025). Enhancing geometry problem-solving through visualization for multilingual learners. 21(7). DOI: https://doi.org/10.29333/ejmste/16564
Maifa, T. S., Salsinha, C. N., & Bete, H. (2020). Lintasan Belajar Geometri Transformasi Dengan Menggunakan Konteks Kain Buna. HISTOGRAM: Jurnal Pendidikan Matematika, 4(2), 439–450. https://doi.org/10.31100/histogram.v4i2.696 DOI: https://doi.org/10.31100/histogram.v4i2.696
Marissa, A., Sari, Y. I., Islam, M. S., & Gultom, S. (2024). Local wisdom "batik kawung": Developing learning trajectory of mathematics content in sequence through realistic mathematics education. Journal of Sustainable Development, 4(2), 50–62.
Maryati, M., & Prahmana, R. C. I. (2021). Learning Trajectory of Dilation and Reflection in Transformation Geometry through the Motifs of Bamboo Woven. Jurnal Didaktik Matematika, 8(2), 134–147. https://doi.org/10.24815/jdm.v8i2.21283 DOI: https://doi.org/10.24815/jdm.v8i2.21283
Novrika, D., Putri, R. I. I., & Hartono, Y. (2016). Desain Pembelajaran materi Refleksi menggunakan motif kain batik untuk siswa kelas VII. Prosiding Seminar Matematika Dan Pendidikan Matematika, November, 607626. http://jurnal.fkip.uns.ac.id
Sahara, R., Dolk, M., Hendriyanto, R., Kusmayadi, T. A., & Fitriana, T. (2024). Geometry transformation as a part of the design of digital manipulative activity based on batik: A local instructional theory. Journal of Mathematics Education, 15(3), 233–250. DOI: https://doi.org/10.22342/jme.v15i1.pp55-78
Salsabila, E., & Hajizah, M. N. (2024). Hypothetical Learning Trajectory of Sector Area and Arc Length Using the Clockwork Context. 18(2), 176–186. DOI: https://doi.org/10.21831/pythagoras.v18i2.67027
Sanita, E., Zulkardi, Z., Susanti, E., & Meryansumayeka, M. (2024). Desain Pembelajaran Refleksi Geometri Menggunakan Pendekatan PMRI dengan Konteks Songket Prada Palembang. Indiktika : Jurnal Inovasi Pendidikan Matematika, 7(1), 246–260. https://doi.org/10.31851/indiktika.v7i1.17196 DOI: https://doi.org/10.31851/indiktika.v7i1.17196
Simon, M. A. (1995). Reconstructing Mathematics Pedagogy from a Constructivist Perspective: The Concept of a Hypothetical Learning Trajectory. Journal for Research in Mathematics Education, 26(2), 114–145. https://www.jstor.org/stable/749205 DOI: https://doi.org/10.5951/jresematheduc.26.2.0114
Sulistyawati, S., & Rofiki, I. (2022). Constructing fractal batik using GeoGebra: An ethnomathematics perspective. International Journal of Trends in Mathematics Education Research, 5(2), 97–103.
Yuliardi, R., & Rosjanuardi, R. (2021). Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 6(3), 174–190. https://doi.org/10.23917/jramathedu.v6i3.13338 DOI: https://doi.org/10.23917/jramathedu.v6i3.13338
Zulkardi, & Ilma, R. (2006). Mendesain sendiri soal kontekstual matematika. Prosiding KNM13 Semarang, 1–7.
Zulkardi, & Ilma, R. I. I. (2018). Developing learning materials with PMRI approach. Journal on Mathematics Education, 9(2), 157–170.
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