The Geometrical Patterns and Philosophical Value of Javanese Traditional Mosque Architecture for Mathematics Learning in Primary School: An Ethnomathematic Study
DOI:
https://doi.org/10.15503/jecs2023.2.512.532Keywords:
Geometrical Patterns, Philosophical Value, Javanese Traditional Mosque Architecture, Ethnomathematics, Primary SchoolAbstract
Aim. This study is an ethnomathematical study that aims to describe and interpret the philosophical value and geometrical patterns of the famous architecture and ornament of the Indonesian traditional Mosque.
Methods. This report subsequently used an ethnographic method, with data being obtained through observation, documentation, and Focus Group Discussion (FGD). Furthermore, the study subjects were a cultural practitioner and a group of educators, containing five primary school teachers in Central Java, Indonesia. Interviews, observation, and documentation were conducted during the research. The data was analysed qualitatively.
Results. First, from the data analysis, it was found that there are several philosophical values contained in the architecture and ornaments of a Javanese traditional mosque such as the relationship that must always exist between humans and God and fellow human beings, Islam, iman (faith), Ihsan (kindness), openness, honesty, obedience, and humility. The second indicates the relationship between the Javanese architecture and ornament of the Indonesian traditional Mosque and the geometrical patterns (the cuboid, and cylinder), symmetrical patterns, and geometry transformation (rotation) used as the source of learning and starting point to the mathematical learning process.
Conclusions. These results were specifically useful to primary school teachers when teaching geometry. Through culture as a context or starting point, the new mathematical learning resource was also used for geometric learning. In addition, the philosophical significance of these artifacts fostered an interest in the indigenous culture and good character values.
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Abdullahi, M., Ayub, A. F. M., Sulaiman, T., & Manaf, U. K. A. (2021). Predicting mathematics students’ continuance intention toward learning mathematics. Asian Journal of University Education, 17(3), 192-202. https://doi.org/10.24191/ajue.v17i3.14503
Aini, I. N., Wulandari, S., & Zuliana, E. (2023). Eksplorasi etnomatematika Batik Mlatiharjan Demak Terhadap konsep matematika geometri bangun datar sekolah dasar. [The ethnomathematics exploration of Mlatiharjan Demak Batik for elementary school geometry concepts]. SIGMA: Jurnal Pendidikan Matematika, 15(2). https://doi.org/10.26618/sigma.v15i2
Alangui, W. V. (2010). Stone walls and water flows: Interrogating cultural practice and mathematics. [Doctoral dissertation, University of Auckland].
Alangui, W. V. (2017). Ethnomathematics and culturally relevant mathematics education in the philippines. In M. Rosa, L. Shirley, M. E. Gavarrete & W. V. Alangui (Eds.), Ethnomathematics and its diverse approaches for mathematics education. ICME-13 Monographs (pp. 183-208). Springer. https://doi.org/10.1007/978-3-319-59220-6_8
Albanese, V., Adamuz-Povedano, N., & Bracho-López, R. (2017). The evolution of ethnomathematics: Two theoretical views and two approaches to education. In M. Rosa, L. Shirley, M. E. Gavarrete & W. V. Alangui (Eds.), Ethnomathematics and its diverse approaches for mathematics education. ICME-13 Monographs (pp. 307-328). Springer. https://doi.org/10.1007/978-3-319-59220-6_13
Ali, A. H. (2019). Study of form and meaning of symbolic indigeneous. Case study of building results of the reconstruction of the Bantayo Po’Boide traditional house of Gorontalo regency. ARTic, 2(2), 203-214. https://doi.org/10.34010/artic.2019.4.2457.203-214
Amit, M., & Abu Qouder, F. (2017). Weaving culture and mathematics in the classroom: The case of bedouin ethnomathematics. In M. Rosa, L. Shirley, M. E. Gavarrete & W. V. Alangui (Eds.), Ethnomathematics and its diverse approaches for mathematics education. ICME-13 Monographs (pp. 23-50). Springer. https://doi.org/10.1007/978-3-319-59220-6_2
Bishop, A. J. (1988). The interactions of mathematics education with culture. Cultural Dynamics, 1(2), 145-157. https://doi.org/10.1177/092137408800100202
Bonner, J. (2017). Islamic geometric patterns: Their historical development and traditional methods of construction. Springer. https://doi.org/10.1007/978-1-4419-0217-7
Candrasari, D., Aini, A. R., Suryani, D., & Zuliana, E. (2023). Eksplorasi etnomatematika pada Tari Kretek Kudus. [Ethnomatematics exploration in the Kudus Kretek Dance]. Jurnal Sains Dan Pembelajaran Matematika, 1(1), 5-13. https://doi.org/10.51806/jspm.v1i1.25
Creswell, J. W., & Creswell, J. D. (Eds.). (2018). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications.
Creswell, J. W., & Poth, C. N. (2018) Qualitative inquiry and research design choosing among five approaches (4th ed). SAGE Publications, Inc., Thousand Oaks.
D’AmbrosiO, U. (1997). Ethnomathematics and it’s place in the history of pedagogy of mathematics. In A. B. Powell, & M. Frankenstein (Eds.). Ethnomathematics challenging eurocentrism in mathematics education (pp. 13-24). State University of New York Press.
D’Ambrosio, U. (2018). The program ethnomathematics: Cognitive, anthropological, historic and socio-cultural bases. PNA. Revista de Investigación En Didáctica de La Matemática, 12(4), 229-247. https://doi.org/https://doi.org/10.30827/pna.v12i4.7851
D’Ambrosio, U., & Rosa, M. (2017). Ethnomathematics and its pedagogical action in mathematics education. In M. Rosa, L. Shirley, M. Gavarrete, & W. Alangui (Eds.), Ethnomathematics and its diverse approaches for mathematics education. ICME-13 Monographs (pp. 285-305). Springer, Cham. https://doi.org/10.1007/978-3-319-59220-6_12
Dabbour, L. M. (2012). Geometric proportions: The underlying structure of design process for Islamic geometric patterns. Frontiers of Architectural Research, 1(4), 380-391. https://doi.org/10.1016/j.foar.2012.08.005
Eglash, R. (2001). Rethinking symmetry in ethnomathematics. Symmetry: Culture and Science, 12(1-2), 159-166.
Etikan, I., Musa, S. A., & Alkassim, R. S. (2016). Comparison of convenience sampling and purposive sampling. American Journal of Theoretical And Applied Statistics, 5(1), 1-4. https://doi.org/10.11648/j.ajtas.20160501.11
Ezeife, A. N. (2002). Mathematics and culture nexus: The interactions of culture and mathematics in an Aboriginal classroom. International Education Journal, 3(3), 176-187.
Geertz, C. (1973). The interpretation of cultures: Selected essays. Basic Books, Inc.
Ghasemzadeh, B., Fathebaghalli, A., & Tarvirdinassab, A. (2013). Symbols and signs in islamic architecture. ERAS: European Review of Artistic Studies, 4(3), 62-78.
Hermanto, R., Wahyudin, & Nurlaelah, E. (2019). Exploration of ethnomathematics on the Kampung Naga indigenous peoples. Journal of Physics: Conference Series, 1315. Article 012072. https://doi.org/10.1088/1742-6596/1315/1/012072
Husain, A. H., Sulaiman, R. B., & Rahim, A. (2017). Arts apreciation based on the principle of ethnomathematics. In I. K. D. Norwatha & I. G. N. Wirawan (Eds.), Proceeding of The 6th International Seminar on Nusantara Heritage (pp. xxxvi – xliii). Institut Seni Indonesia Denpasar. http://download.is-dps.ac.id/index.php/category/14-artikel-2?download=2748:the-6h-international-seminar-on-nusantara-heritage.
Iskandar, R., & Marini, A. (2020). Batik Nusantara exploration through the application of multicultural education based on local wisdom in elementary school. Multicultural Education, 6(4), 219-225. https://doi.org/10.5281/zenodo.4279541
Jawad, L. F. (2022). Mathematical connection skills and their relationship with productive thinking among secondary school students. Periodicals of Engineering and Natural Sciences, 10(1), 421-430. https://doi.org/10.21533/pen.v10i1.2667
Juniati, D., & Budayasa, K. (2017). Construction of learning strategies to combine culture elements and technology in teaching group theory. World Transactions on Engineering and Technology Education, 15(3), 206-211. http://www.wiete.com.au/journals/WTE&TE/Pages/Vol.15,No.3(2017)/01-Juniati-D.pdf.
Katsap, A., & Silverman, F. L. (2016). Interweaving the ethnomathematical approach into teaching and learning mathematics. Ethnomathematics of Negev Bedouins’ Existence in Forms, Symbols and Geometric Patterns, 281-287. https://doi.org/10.1007/978-94-6209-950-0_12
Laurens, T., Batlolona, F. A., Batlolona, J. R., & Leasa, M. (2018). How does realistic mathematics education (RME) improve students’ mathematics cognitive achievement? Eurasia Journal of Mathematics, Science and Technology Education, 14(2). https://doi.org/10.12973/ejmste/76959
Mahmoud, H.-T. H. (2017). Geometric patterns in Egyptian architecture & interior design. The Academic Research Community Publication, 1(1), 1-11. https://doi.org/10.21625/archive.v1i1.140
Ministry of Education and Culture Republic of Indonesia. (2018). Peraturan Menteri Pendidikan dan Kebudayaan (Permendikbud) Indonesia No 37 Tahun 2018 tentang Perubahan Atas Peraturan Menteri Pendidikan dan Kebudayaan Nomor 24 Tahun 2016 tentang Kompetensi Inti Dan Kompetensi Dasar Pelajaran Pada Kurikulum 2013 Pada Pendidikan Dasar dan Pendidikan Menengah [Regulation of the Ministry Education and Culture of Indonesia No. 37 (2018) concerning amendments to regulation of the Ministry of Education and Culture Number 24 (2016) concerning core competencies and basic competencies in the 2013 curriculum in primary and secondary education]. https://jdih.kemdikbud.go.id/sjdih/siperpu/dokumen/salinan/Permendikbud%20Nomor%2037%20Tahun%202018.pdf
Oğul, İ. G., & Arnas, Y. A. (2022). Understanding home math environments and math talks of children with low and middle socioeconomic status. Participatory Educational Research, 9(4), 53-70. https://doi.org/10.17275/per.22.79.9.4
Rodgers, S. (2017). Batak heritage and the Indonesian state: Print literacy and the construction of ethnic cultures in Indonesia. In J. Toland (Ed.), Ethnicity and the state: Political and legal anthropology (pp. 147-176). Transaction Publishers. https://doi.org/10.4324/9781351294607-7
Rosa, M., & Orey, D. C. (2011). Ethnomathematics: the cultural aspects of mathematics. Revista Latinoamericana de Etnomatemática: Perspectivas Socioculturales de La Educación Matemática, 4(2), 32-54. http://funes.uniandes.edu.co/3079/1/Rosa2011Ethnomathematics.pdf
Rosa, M., & Orey, D. C. (2021). An ethnomathematical perspective of stem education in a glocalized world. Bolema: Boletim de Educação Matemática, 35(70), 840-876. https://doi.org/10.1590/1980-4415v35n70a14
Şahin, Ö., & Danaci, D. (2020). Investigating the effect of history-of-mathematics activities on middle-grade students’ mental computation and opinions: An action research. International Journal of Mathematical Education in Science and Technology, 53(9), 2281-2318. https://doi.org/10.1080/0020739X.2020.1857859
Salma, R., Fevironika, D. O., & Zuliana, E. (2022). Ethnomathematical study of Jepara Troso Ikat weaving motifs in two-dimensional geometry mathematics. Kontinu: Jurnal Penelitian Didaktik Matematika, 6(2), 102-115. http://dx.doi.org/10.30659/kontinu.6.2.102-115
Sastronaryatmo, M. (1981). Babad Jaka Tingkir, Babad Pajang [The story of Jaka Tingkir, The story of Pajang]. Perpustakaan Nasional Republik Indonesia Proyek Penerbitan Buku Sastra Indonesia dan Daerah.
Setyono, B., & Widodo, H. P. (2019). The representation of multicultural values in the Indonesian Ministry of Education and Culture-Endorsed EFL textbook: A critical discourse analysis. Intercultural Education, 30(4), 383-397. https://doi.org/10.1080/14675986.2019.1548102
Sharma, T., & Orey, D. C. (2017). Meaningful mathematics through the use of cultural artifacts. In M. Rosa, L. Shirley, M. E. Gavarrete, W. V. Alangui (Eds.), Ethnomathematics and its diverse approaches for mathematics education. ICME-13 Monographs (pp. 153-179). Springer. https://doi.org/10.1007/978-3-319-59220-6_7
Sidawi, B. (2013). Understanding the vocabulary of the Islamic architectural heritage. Global Built Environment Review, 8(2), 26-39.
Spradley, J. P. (2016). The ethnographic interview. Waveland Press.
Suharta, I. G. P., Sudiarta, I. G. P., & Astawa, I. W. P. (2017). Ethnomathematics of Balinese traditional houses. International Research Journal of Engineering, IT & Scientific Research, 3(4), 47-56. https://doi.org/10.21744/irjeis.v3i4.501
Sunzuma, G., & Maharaj, A. (2021). In-service mathematics teachers’ knowledge and awareness of ethnomathematics approaches. International Journal of Mathematical Education in Science and Technology, 52(7), 1063-1078. https://doi.org/10.1080/0020739X.2020.1736351
Trinick, T., Meaney, T., & Fairhall, U. (2017). Cultural and mathematical symmetry in Māori meeting houses (Wharenui). In M. Rosa, L. Shirley, M., Gavarrete & W. Alangui (Eds.). ethnomathematics and its diverse approaches for mathematics education (pp. 235-255). ICME-13 Monographs. Springer. https://doi.org/10.1007/978-3-319-59220-6_10
Zaenuri, Dwidayati, N., & Suyitno, A. (2019). Ethnomathematics role as an encouragement of the growth of student’s nationalism. In C. Kurniawan, C., Karnowo & A. Prabowo (Eds.). UNNES International conference on research innovation and commercialization (pp. 759-774). KnE Social Sciences Publishing. https://doi.org/10.18502/kss.v3i18.4766
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