Mathematical Interpretation of the Geblek Renteng Batik Theme: Exploring Geometric Transformations

https://doi.org/10.56741/jpes.v4i01.664

Authors

Keywords:

Batik, Ethnomathematics, Geblek Renteng, Geometric Transformations

Abstract

This research seeks to explore the connection between ethnomathematics and Geblek Renteng Batik, a unique cultural symbol of Kulon Progo. UNESCO's recognition of Batik as part of Human Heritage underscores its cultural significance. This acknowledgment offers the potential to use Batik as an alternative educational tool in mathematics, enhancing the understanding of mathematical concepts in everyday contexts. The study utilizes a qualitative descriptive methodology within an ethnographic framework. Data collection was carried out through interviews, observation, and documentation and the research instrument was a questionnaire. Data validation is performed through qualitative descriptive analysis. The study's results indicate that Batik Geblek Renteng themes incorporate mathematical concepts such as triangles, polygons, translations, reflections, rotations, and dilations. The integration of these mathematical concepts with the cultural aspects of Batik Geblek Renteng aims to foster a culturally enriched approach to learning mathematics.

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Author Biography

Deny Hadi Siswanto, Muhammadiyah Mlati Senior High School

is a mathematics teacher at Muhammadiyah Mlati High School. As a teacher, he develops creative and effective teaching methods and monitors individual student learning progress. (email: denysiswanto11@guru.sma.belajar.id)

References

S. Poon, “Symbolic Resistance: Tradition in Batik Transitions Sustain Beauty, Cultural Heritage and Status in the Era of Modernity,” World J. Soc. Sci., vol. 7, no. 2, p. 1, 2020, doi: 10.5430/wjss.v7n2p1. DOI: https://doi.org/10.5430/wjss.v7n2p1

D. H. Siswanto, K. Tanikawa, E. K. Alghiffari, M. Limori, and D. D. Aprilia, “A Systematic Review: Use of GeoGebra in Mathematics Learning at Junior High School in Indonesia and Japan,” J. Pendidik. Mat., vol. 7, no. 1, pp. 1–20, 2024, doi: 10.21043/jpmk.v7i1.26201. DOI: https://doi.org/10.21043/jpmk.v7i1.26201

E. Sugiarto, A. H. bin Husain, M. I. Syarif, P. K. Nashiroh, and M. Febriani, “Between Aesthetics and Function: Transformations and Use of Batik Themes in Urban Interiors in Indonesia,” ISVS e-journal, vol. 10, no. 7, pp. 122–136, 2023.

N. Noerhasmalina and B. A. Khasanah, “The geometric contents and the values of local batik in Indonesia,” J. Elem., vol. 9, no. 1, pp. 211–226, 2023, doi: 10.29408/jel.v9i1.6919. DOI: https://doi.org/10.29408/jel.v9i1.6919

I. I. Krismasanti, “Udeng Banyuwangi : Culture, Symbolic Meaning and Preservation of Local Cultural Identity,” Int. J. Multicult. Multireligious Underst., vol. 11, no. 1, pp. 550–560, 2024.

S. Susanti, N. N. N. Hasan, I. Koswara, and W. Gunawan, “Should It be Left Extinct or Saved? A Case Study on the Existence of Sukapura Batik, Indonesia,” J. Law Sustain. Dev., vol. 12, no. 1, pp. 1–13, 2024. DOI: https://doi.org/10.55908/sdgs.v12i1.2558

N. Artikasari, “Commodification of Local Culture in The Development of Wayang Villages Tourism,” vol. 1, no. 2, pp. 270–274, 2024, doi: 10.5220/0007327902700274. DOI: https://doi.org/10.30598/baileofisipvol1iss2pp176-191

J. Abbas and S. M. Khan, “Green Knowledge Management and Organizational Green Culture: An Interaction for Organizational Green Innovation and Green Performance,” J. Knowl. Manag., vol. 27, no. 7, pp. 1852–1870, Jan. 2023, doi: 10.1108/JKM-03-2022-0156. DOI: https://doi.org/10.1108/JKM-03-2022-0156

E. Naslund, J. Hernandez, C. Albertos, A. Grigera, C. Hobbs, and H. Alvarez, “The effects of ethnomathematics education on student outcomes: The JADENKÄ Program in the Ngäbe-Buglé Comarca, Panama,” no. April, 2022, doi: 10.18235/0004150. DOI: https://doi.org/10.18235/0004150

V. Geiger, C. Delzoppo, and R. Straesser, “Supporting English Non-Dominant Language Authors’ Efforts to Publish: Perspectives from the Editors-in-Chief of Highly Recognised Journals in Mathematics Education,” Educ. Stud. Math., vol. 111, no. 3, pp. 543–565, 2022, doi: 10.1007/s10649-022-10174-0. DOI: https://doi.org/10.1007/s10649-022-10174-0

M. Irfan, D. Slamet Setiana, E. Fitria Ningsih, W. Kusumaningtyas, and S. Adi Widodo, “Ceremony Ki Ageng Wonolelo As Mathematics Learning Media,” J. Phys. Conf. Ser., vol. 1175, no. 1, 2019, doi: 10.1088/1742-6596/1175/1/012140. DOI: https://doi.org/10.1088/1742-6596/1175/1/012140

M. B. Simanjuntak, M. Suseno, S. Setiadi, N. Lustyantie, and I. R. G. R. G. Barus, “Integration of Curricula (Curriculum 2013 and Cambridge Curriculum for Junior High School Level in Three Subjects) in Pandemic Situation,” Ideas J. Pendidikan, Sos. dan Budaya, vol. 8, no. 1, p. 77, 2022, doi: 10.32884/ideas.v8i1.615. DOI: https://doi.org/10.32884/ideas.v8i1.615

A. Waritsman, “Implementation of Realistic Mathematics Education in Madrasah (2018-2022),” 12 Waiheru, vol. 9, no. 2, pp. 159–170, 2023, doi: 10.47655/12waiheru.v9i2.160. DOI: https://doi.org/10.47655/12waiheru.v9i2.160

U. Umbara, S. Prabawanto, and M. G. Jatisunda, “Combination of Mathematical Literacy With Ethnomathematics: How To Perspective Sundanese Culture,” Infin. J., vol. 12, no. 2, pp. 393–414, 2023, doi: 10.22460/infinity.v12i2.p393-414. DOI: https://doi.org/10.22460/infinity.v12i2.p393-414

Ö. Özcan and E. Bahadır, “Opinions of Mathematics Teachers and Pre-Service Teachers About the Relationship Between Mathematics and Culture,” Eur. J. Educ. Stud., vol. 10, no. 10, pp. 420–451, 2023, doi: 10.46827/ejes.v10i10.5053. DOI: https://doi.org/10.46827/ejes.v10i10.5053

K. Owens, “The Role of Mathematics Teacher Education in Overcoming Narrow Neocolonial Views of Mathematics,” Educ. Sci., vol. 13, no. 9, 2023, doi: 10.3390/educsci13090868. DOI: https://doi.org/10.3390/educsci13090868

F. O. Egara and M. Mosimege, “Students’ Perceptions of Mathematics Teachers’ Usage of Ethnomathematics Materials in the Teaching and Learning of Mathematics,” Int. J. Multicult. Educ., vol. 25, no. 2, pp. 443–459, 2023, [Online]. Available: http://www.ijmejournal.org/ijme/index.php/ijme/article/view/v25-2-33/v25-2-33.html

L. Kadarin Nuriyanto, “Preservation of the Batik Industry in Indonesia as Part of the National Identity,” Int. J. Sci. Appl. Sci. Conf. Ser., vol. 6, no. 2, pp. 2549–4635, 2022, doi: 10.20961/ijsascs.v6i2.73912. DOI: https://doi.org/10.20961/ijsascs.v6i2.73912

D. H. Siswanto and M. M. E. Susetyawati, “Comparison of the Effectiveness of Cooperative Learning Models TPS and GI on Students’ Mathematical Concept Understanding Ability,” Int. J. Sci. Multidiscip. Res., vol. 2, no. 7, pp. 875–888, 2024. DOI: https://doi.org/10.55927/ijsmr.v2i7.10034

C. A. Rodríguez-Nieto and Á. Alsina, “Networking Between Ethnomathematics, STEAM Education, and the Globalized Approach to Analyze Mathematical Connections in Daily Practices,” Eurasia J. Math. Sci. Technol. Educ., vol. 18, no. 3, pp. 1–22, 2022, doi: 10.29333/EJMSTE/11710. DOI: https://doi.org/10.29333/ejmste/11710

R. C. I. Prahmana, “Ethno-Realistic Mathematics Education: The promising learning approach in the city of culture,” SN Soc. Sci., vol. 2, no. 12, pp. 1–19, 2022, doi: 10.1007/s43545-022-00571-w. DOI: https://doi.org/10.1007/s43545-022-00571-w

A. Hendriyanto et al., “Learning Mathematics Using an Ethnomathematics Approach: A Systematic Literature Review,” J. High. Educ. Theory Pract., vol. 23, no. 7, pp. 59–74, 2023, doi: 10.33423/jhetp.v23i7.6012. DOI: https://doi.org/10.33423/jhetp.v23i7.6012

T. Njonge, “Influence of Psychological Well-Being and School Factors on Delinquency, During the Covid-19 Period Among Secondary School Students in Selected Schools in Nakuru County : Kenya,” IJRISS Int. J. Res. Innov. Soc. Sci., vol. VII, no. X, pp. 1175–1189, 2023.

R. Febriani, L. Knippenberg, and N. Aarts, “The making of a national icon: Narratives of batik in Indonesia,” Cogent Arts Humanit., vol. 10, no. 1, 2023, doi: 10.1080/23311983.2023.2254042. DOI: https://doi.org/10.1080/23311983.2023.2254042

S. I. Syed Shaharuddin et al., “A Review on the Malaysian and Indonesian Batik Production, Challenges, and Innovations in the 21st Century,” SAGE Open, vol. 11, no. 3, 2021, doi: 10.1177/21582440211040128. DOI: https://doi.org/10.1177/21582440211040128

A. M. I. T. Asfar, A. M. I. A. Asfar, and A. Nurannisa, “Integration of Local Traditions Bugis-Makassarese: Learning Strategies to Improve Mathematical Communication Skills,” IOP Conf. Ser. Earth Environ. Sci., vol. 1808, no. 1, pp. 1–11, 2021, doi: 10.1088/1742-6596/1808/1/012064. DOI: https://doi.org/10.1088/1742-6596/1808/1/012064

UNESCO, Batik as an Intangible Cultural Heritage. United Nations Educational: Scientific and Cultural Organization, 2009.

F. Fatkhurohman, A. D. Ayuningtyas, M. S. Noto, and S. A. Widodo, “Etnomathematics: Exploration of Geblek Renteng Batik in Transformation Geometry,” Numer. J. Mat. dan Pendidik. Mat., vol. 5, pp. 79–90, 2021, doi: 10.25217/numerical.v5i2.1506. DOI: https://doi.org/10.25217/numerical.v5i2.1506

I. Nurhikmayati, M. G. Jatisunda, and N. Ratnawulan, “The Practice of Reflection Based on Didactical Design Research: An Analysis of the Geometry Transformation Material,” JTAM (Jurnal Teor. dan Apl. Mat., vol. 6, no. 3, p. 565, 2022, doi: 10.31764/jtam.v6i3.8441. DOI: https://doi.org/10.31764/jtam.v6i3.8441

M. Turgut, “Reinventing Geometric Linear Transformations in a Dynamic Geometry Environment: Multimodal Analysis of Student Reasoning,” Int. J. Sci. Math. Educ., vol. 20, no. 6, pp. 1203–1223, 2022, doi: 10.1007/s10763-021-10185-y. DOI: https://doi.org/10.1007/s10763-021-10185-y

D. Yaniawati, P., Maat, S. M., Supianti, I. I., & Fisher, “European Journal of Educational Research,” Eur. J. Educ. Res., vol. 11, no. 1, pp. 69–81, 2022, [Online]. Available: https://pdf.eu-jer.com/EU-JER_9_1_395.pdf DOI: https://doi.org/10.12973/eu-jer.11.1.69

S. P. Nugroho, “Wisata Gastronomi Makanan Tradisional Yogyakarta melalui Storynomic,” Media Wisata, vol. 21, no. 2, pp. 340–359, 2023, doi: 10.36276/mws.v21i2.524. DOI: https://doi.org/10.36276/mws.v21i2.524

H. Hanifah and I. Istikomar, Validity and Practicality of Student Activity Sheets (LAM) of Real Number Sequences with the Aid of Geogebra Based on the APOS Model, no. February 2021. Atlantis Press SARL, 2023. doi: 10.2991/978-2-38476-012-1_14. DOI: https://doi.org/10.2991/978-2-38476-012-1_14

H. B. Yanik, “Prospective middle school mathematics teachers’ preconceptions of geometric translations,” Educ. Stud. Math., vol. 78, no. 2, pp. 231–260, 2011, doi: 10.1007/s10649-011-9324-3. DOI: https://doi.org/10.1007/s10649-011-9324-3

P. Imrie and J. Jin, “Polymer 4D Printing: Advanced Shape-Change and Beyond,” J. Polym. Sci., vol. 60, no. 2, pp. 149–174, 2022, doi: 10.1002/pol.20210718. DOI: https://doi.org/10.1002/pol.20210718

M. Kaewbumrung and A. Charoenloedmongkhon, “Numerical Simulation of Turbulent Flow in Eccentric Co-Rotating Heat Transfer,” Fluids, vol. 7, no. 4, pp. 1–16, 2022, doi: 10.3390/fluids7040131. DOI: https://doi.org/10.3390/fluids7040131

Alhassan and Fuseini, “CNN Architectures for Geometric Transformation-Invariant Feature Representation in Computer Vision: A Review,” SN Comput. Sci., vol. 2, no. 5, pp. 0–23, 2021, doi: 10.1007/s42979-021-00735-0. DOI: https://doi.org/10.1007/s42979-021-00735-0

Z. Ernaningsih, “Ethnomatematics In Typical Crafts Of Kulon Progo, Daerah Istimewa Yogyakarta,” Daya Mat. J. Inov. Pendidik. Mat., vol. 9, no. 1, pp. 17–27, 2021.

D. H. Siswanto, E. K. Alghiffari, and Andriyani, “Development of Creative Thinking Evaluation Tool Utilizing Microsoft Sway Application in the Context of Pythagorean Theorem Material,” Al Khawarizmi, vol. 8, no. 1, pp. 33–48, 2024, doi: 10.22373/jppm.v8i1.23059. DOI: https://doi.org/10.22373/jppm.v8i1.23059

N. Z. Caesaria, Y. D. Saputra, and D. H. Siswanto, “Implementasi pembelajaran matematika berdiferensiasi di sekolah dasar pada kurikulum merdeka,” MURABBI, vol. 3, no. 2, pp. 92–100, 2024.

H. Suryatama, R. R. Rozaq, Purwanti, and D. H. Siswanto, “Efektivitas Pendekatan Pembelajaran Berdiferensiasi untuk Meningkatkan Literasi Numerasi Siswa,” MURABBI, vol. 3, no. 2, pp. 125–138, 2024.

H. Siswanto and H. Kuswantara, “Peningkatkan Keaktifan dan Hasil Belajar Limit Fungsi Aljabar Menggunakan Model Problem Based Learning Berpendekatan Culturally Responsive Teaching,” J. Prakt. Baik Pembelajaran Sekol. dan Pesantren, vol. 3, no. 03, pp. 107–117, 2024, doi: 10.56741/pbpsp.v3i03.636. DOI: https://doi.org/10.56741/pbpsp.v3i03.636

B. A. Rohviana, M. Habib, and H. Pardi, “Etnomatematika Pada Budaya Sasak di Rumah Adat Bale Tani Desa Rembitan Sebagai Sumber Belajar Matematika,” Teach. Learn. J. Mandalika, vol. 5, no. 2, pp. 197–207, 2024.

S. Fatimah, R. Z. Fajriyah, F. F. Zahra, and S. Prasetyo, “Integrasi Etnomatematika dalam Pembelajaran Matematika di Sekolah Berbasis Kesenian Tai Budaya Lampung,” Al-Madrasah J. Ilm. Pendidik. Madrasah Ibtidaiyah, vol. 8, no. 4, pp. 1631–1640, 2024, doi: 10.35931/am.v8i4.3721. DOI: https://doi.org/10.35931/am.v8i4.3721

I. M. Suarjana, I. K. S. Diputra, I. G. W. S. Antara, and P. R. Ujianti, “Meningkatkan Literasi Numerasi melalui Pembelajaran Etnomatematika: Pelatihan dan Pendampingan di Gugus I Bulelenh,” in Proceeding Senadimas Undiksha, 2024, vol. 9, pp. 741–747.

Tarso, D. H. Siswanto, and A. Setiawan, “Teacher qualifications in the implementation of the Kurikulum Merdeka and ISMUBA,” Curricula J. Curric. Dev., vol. 4, no. 1, pp. 13–28, 2025.

Published

2025-03-03

How to Cite

Siswanto, D. H. (2025). Mathematical Interpretation of the Geblek Renteng Batik Theme: Exploring Geometric Transformations. Journal of Pedagogy and Education Science, 4(01), 36–50. https://doi.org/10.56741/jpes.v4i01.664

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