RESEARCH PAPER
Exploring Ethnomathematics with Ethnomodeling Methodological Approach: How Does Cigugur Indigenous People Using Calculations to Determine Good Day to Build Houses
 
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Department of Mathematics Education, STKIP Muhammadiyah Kuningan, Kuningan, INDONESIA
 
2
Department of Mathematics Education, Universitas Pendidikan Indonesia, INDONESIA
 
 
Publication date: 2021-02-03
 
 
EURASIA J. Math., Sci Tech. Ed 2021;17(2):em1939
 
KEYWORDS
ABSTRACT
This article discusses Cigugur indigenous communities’ custom in carrying out calculation practices to determine the best time to start house construction activities. The realist ethnography approach was used in this study through exploratory research. The ethnomathematics design adopted four elements: generic questions, initial answers, critical constructs, and specific activities. Ethnomodelling was used to translate cultural mathematics ideas into academic mathematics through ethical, emic, and dialogical approaches. Based on ethnomathematics, the community practices the dimensions of necessary universal mathematical activities, such as counting, placing, and explaining. Based on ethnomodeling, mathematical ideas and practices carried out are relevant to the concepts of enumeration, integer operations, sets, relations, congruence, and modulo. The study results recommend the importance of ethnomodelling as a methodological approach to ethnomathematics to create and develop didactical situations, especially in developing a new lesson.
 
REFERENCES (102)
1.
Abbas, S. A. (2000). Ethnomathematics and teaching of mathematics in primary schools: a new perspective. Kano Studies, 1(1), 135-144.
 
2.
Abdullah, A. S. (2017). Ethnomathematics in perspective of sundanese culture. Journal on Mathematics Education, 8(1), 1-16. https://doi.org/10.22342/jme.8....
 
3.
Aikpitanyi, L. A., & Eraikhuemen, L. (2017). Mathematics teachers’ use of ethnomathematics approach in mathematics teaching in edo state. Journal of Education and Practice, 8(4), 34-38.
 
4.
Alangui, W. V. (2010). Stone Walls and Water Flows: Interrogating Cultural Practice and Mathematics. ResearchSpace@ Auckland.
 
5.
Ascher, M. (1991). Ethnomathematics: A Multicultural View of Mathematical Ideas. Cole Publishing Company, California.
 
6.
Ascher, M., & Ascher, R. (1986). Ethnomathematics. History of Science, 24(2), 125-144. https://doi.org/10.1177/007327....
 
7.
Baba, T., & Iwasaki, H. (2001). Intersection of Critical Mathematics Education and Ethnomathematics. Journal of Science Education in Japan, 25(3), 191-199.
 
8.
Banks, J. A. (1991). A curriculum for empowerment, action, and change. Empowerment through Multicultural Education, 125-141.
 
9.
Barton, B. (1996). Ethnomathematics: Exploring cultural diversity in mathematics. ResearchSpace@ Auckland.
 
10.
Barton, B., & Frank, R. (2013). Mathematical ideas and indigenous languages. In Sociocultural Research on Mathematics Education (pp. 163-178). Routledge.
 
11.
Bishop, A. J. (1988). Mathematics education in its cultural context. Educational Studies in Mathematics, 19(2), 179-191. https://doi.org/10.1007/BF0075....
 
12.
Bishop, A. J. (1991). Mathematical Enculturation: A Cultural Perspective on Mathematics Education (Vol. 6). Springer Science & Business Media.
 
13.
Bishop, A. J. (1999). Mathematics teaching and values education—an intersection in need of research. ZDM, 31(1), 1-4. https://doi.org/10.1007/s11858....
 
14.
Blum, W., & Ferri, R. B. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45-58.
 
15.
Bonotto, C. (2007). How to replace word problems with activities of realistic mathematical modelling. In Modelling and Applications in Mathematics Education (pp. 185-192). Springer. https://doi.org/10.1007/978-0-....
 
16.
Borba, M. de C. (1987). Um Estudo de Etnomatemática: sua incorporação na elaboração de uma proposta pedagógica para o “núcleo-escola” da favela da vila nogueira-São Quirino [An Ethnomathematics Study: its incorporation in the elaboration of a pedagogical proposal for the “core-school” of the favela of the village nogueira-São Quirino] (Master’s Dissertation, Mathematics Education). UNESP - Rio Claro.
 
17.
Borba, M. de C. (1990). Ethnomathematics and Education. For the Learning of Mathematics, 10, 1.
 
18.
Borba, M. de C. (1992). Teaching mathematics: Ethnomathematics, the voice of sociocultural groups. The Clearing House, 65(3), 134-135. https://doi.org/10.1080/000986....
 
19.
Burkhardt, H. (2006). Modelling in Mathematics Classrooms: reflections on past developments and the future. ZDM, 38(2), 178-195. https://doi.org/10.1007/BF0265....
 
20.
Cai, J., Cirillo, M., Pelesko, J. A., Borromeo Ferri, R., Borba, M., Geiger, V., Stillman, G., English, L. D., Wake, G., Kaiser, G., & Kwon, O. N. (2014). Mathematical modeling in school education: Mathematical, cognitive, curricular, instructional and teacher education perspectives. Proceedings of the Joint Meeting of PME 38 and PME-NA 36, 1, 145-172.
 
21.
Caldeira, A. D. (2007). Etnomodelagem e suas relações com a educação matemática na infância [Ethnomodeling and its relationship with mathematics education in childhood]. Modelagem Matemática Na Educação Matemática Brasileira: Pesquisas e Práticas Educacionais. Recife: SBEM - Mathematical Modeling in Brazilian Mathematical Education: Research and Educational Practices. Recife: SBEM, 81-97.
 
22.
Cimen, O. A. (2014). Discussing ethnomathematics: Is mathematics culturally dependent? Procedia-Social and Behavioral Sciences, 152, 523-528. https://doi.org/10.1016/j.sbsp....
 
23.
Cohen, L., Manion, L., & Morrison, K. (2013). Research Methods in Education. Routledge. https://doi.org/10.4324/978020....
 
24.
D’Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 5(1), 44-48.
 
25.
D’Ambrosio, U. (1989). On ethnomathematics. Philosophia Mathematica, 2(1), 3-14. https://doi.org/10.1093/philma....
 
26.
D’Ambrosio, U. (1990). Etnomatemática (Ethnomathematics). São Paulo, SP, Brazil: Editora Ática.
 
27.
D’ambrosio, U. (1995). Multiculturalism and mathematics education. International Journal of Mathematical Education in Science and Technology, 26(3), 337-346. https://doi.org/10.1080/002073....
 
28.
D’Ambrosio, U. (1997). Ethnomathematics and its place in the history and pedagogy of mathematics. Ethnomathematics: Challenging Eurocentrism in Mathematics Education, 13-24.
 
29.
D’ambrosio, U. (2016). Etnomatemática-elo Entre as Tradições e A Modernidade [Ethnomathematics-link between Traditions and Modernity]. Autêntica.
 
30.
de Loiola Araújo, J. (2010). Brazilian research on modelling in mathematics education. ZDM, 42(3-4), 337-348. https://doi.org/10.1007/s11858....
 
31.
Domite, M. do C. S. (2004). Notes on teacher education: an ethnomathematical perspective. In F. Favilli (Ed.), Ethnomathematics and Mathematics Education: Proceedings of the 10th International Congress of Mathematics Education, Copenhagen (pp. 17-28). PISA: Tipografia Editrice Pisana.
 
32.
Eglash, R. (1997). When math worlds collide: Intention and invention in ethnomathematics. Science, Technology, & Human Values, 22(1), 79-97. https://doi.org/10.1177/016224....
 
33.
Ekajati, E. S. (1995). Kebudayaan Sunda: Suatu Pendekatan Sejarah (Vol. 1). Pustaka Jaya.
 
34.
Ernest, P. (1991). The Philosophy of Mathematics Education. Taylor & Francis Group.
 
35.
Eves, H., & Eves, J. H. (1964). An Introduction to the History of Mathematics (Vol. 6). New York: Holt, Rinehart and Winston.
 
36.
Fathani, A. H. (2009). Matematika Hakikat dan Logika. Yogyakarta: Ar-Ruzz Media.
 
37.
Fouze, A. Q., & Amit, M. (2017). On the importance of an ethnomathematical curriculum in mathematics education. EURASIA Journal of Mathematics, Science and Technology Education, 14(2), 561-567. https://doi.org/10.12973/ejmst....
 
38.
Fouze, A. Q., & Amit, M. (2018). Development of mathematical thinking through integration of ethnomathematics folklore game in math instruction. EURASIA Journal of Mathematics, Science and Technology Education, 14(2), 617-630. https://doi.org/10.12973/ejmst....
 
39.
Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2011). How to Design and Evaluate Research in Education. New York: McGraw-Hill Humanities / Social Sciences / Languages.
 
40.
Francois, K., & Van Kerkhove, B. (2010). Ethnomathematics and the philosophy of mathematics (education). In B. Lowe, & Y. Muller (Eds.), PhiMSAMP. Philosophy of Mathematics: Sociological aspects and mathematical practice (pp. 121-154). London: College Publications.
 
41.
Gagne, R. M. (1983). Some issue in psychology of mathematics instruction. Journal for Research in Mathematics Education, 14(1), 7-18. https://doi.org/10.2307/748793.
 
42.
Galperin, P. Y., & Georgiev, L. S. (1969). The formation of elementary mathematical notions. In J. Kilpatrick, & I. Wirszup (Eds.), Soviet Studies in the Psychology of Learning and Teaching Mathematics. Vol. I: The learning of Mathematical Concepts (pp. 189-216). University of Chicago Press.
 
43.
Gay, G. (2000). Culturally Responsive Teaching: Theory, Practice and Research. New York: Teachers College Press.
 
44.
Gay, J., & Cole, M. (1967). The New Mathematics in an Old Culture: A Study of Learning among the Kpelle of Liberia. Holt, Renehart & Winston.
 
45.
Gerdes, P. (1994). Reflections on ethnomathematics. For the Learning of Mathematics, 14(2), 19-22.
 
46.
Gerdes, P. (1996). Ethnomathematics and mathematics education. In A. J. Bishop, M. A. (Ken) Clements, K. Clements, C. Keitel, J. Kilpatrick, & C. Laborde (Eds.), International handbook of mathematics education (pp. 909-943). Kluwer Academic Publishers. https://doi.org/10.1007/978-94....
 
47.
Gerdes, P. (1998). On culture and mathematics teacher education. Journal of Mathematics Teacher Education, 1(1), 33-53. https://doi.org/10.1023/A:1009....
 
48.
Gerdes, P. (2001). Ethnomathematics as a new research field, illustrated by studies of mathematical ideas in African history. Science and Cultural Diversity: Filing a Gap in the History of Sciences. Cuadernos de Quipu, 5, 10-34. https://doi.org/10.1.1.551.236....
 
49.
Hammond, T. (2000). Ethnomathematics: Concept Definition and Research Perspectives. New York: Columbia University.
 
50.
Ikeda, T. (2013). Pedagogical reflections on the role of modelling in mathematics instruction. In Teaching Mathematical Modelling: Connecting to Research and Practice (pp. 255-275). Springer. https://doi.org/10.1007/978-94....
 
51.
Katamba, F. (1993). Morphology. The Macmillan Press Ltd. https://doi.org/10.1007/978-1-....
 
52.
Knijnik, G. (1993). Ethno-mathematical approach in mathematical education: a matter of political power. For the Learning of Mathematics, 13(2), 23-25.
 
53.
Knijnik, G. (2007). Brazilian peasant mathematics, school mathematics and adult education. Adults Learning Mathematics, 2(2), 54-62.
 
54.
Koentjaraningrat, K. (1985). Kebudayaan, Mentalitas dan Pembangunan [Culture, Mentality and Development]. Jakarta: Gramedia. PT. Gramedia.
 
55.
Ladson-Billings, G., & Tate, W. F. (2016). Toward a critical race theory of education. In Critical race theory in education (pp. 10-31). Routledge. https://doi.org/10.4324/978131....
 
56.
Lee, O. (1999). Science knowledge, world views, and information sources in social and cultural contexts: Making sense after a natural disaster. American Educational Research Journal, 36(2), 187-219. https://doi.org/10.3102/000283....
 
57.
Lesh, R., & Fennewald, T. (2013). Introduction to Part I modeling: What is it? Why do it? In Modeling students’ mathematical modeling competencies (pp. 5-10). Springer. https://doi.org/10.1007/978-94....
 
58.
Lesser, L. M. (2006). Book of numbers: Exploring Jewish mathematics and culture at a Jewish high school. Journal of Mathematics and Culture, 1(1), 8-31.
 
59.
Lincoln, Y. S., & Denzin, N. K. (2003). Turning points in qualitative research: Tying knots in a handkerchief. Rowman Altamira.
 
60.
Maryati, M., & Prahmana, R. C. I. (2018). Ethnomathematics: exploring the activities of designing kebaya kartini. MaPan: Jurnal Matematika Dan Pembelajaran, 6(1), 11-19. https://doi.org/10.24252/mapan....
 
61.
Matang, R. (2002). The role of ethnomathematics in mathematics education in Papua New Guinea: Implications for mathematics curriculum. Journal of Educational Studies, 24(1), 27-37.
 
62.
Millroy, W. L. (1992). An ethnographic study of the mathematical ideas of a group of carpenters. Journal for Research in Mathematics Education. Monograph, i--210. https://doi.org/10.2307/749904.
 
63.
Muhtadi, D., Sukirwan, Warsito, & Prahmana, R. C. I. (2017). Sundanese ethnomathematics: Mathematical activities in estimating, measuring, and making patterns. Journal on Mathematics Education, 8(2), 185-198. https://doi.org/10.22342/jme.8....
 
64.
Niss, M. (2003). Mathematical competencies and the learning of mathematics: The Danish KOM project. 3rd Mediterranean Conference on Mathematical Education, 115-124.
 
65.
Noyes, A. (2007). Rethinking School Mathematics (Vol. 1). PCP Sage Publications Company.
 
66.
Nurhasanah, F., Kusumah, Y. S., & Sabandar, J. (2017). Concept of triangle: Examples of mathematical abstraction in two different contexts. International Journal on Emerging Mathematics Education, 1(1), 53-70. https://doi.org/10.12928/ijeme....
 
67.
Ogbu, J. U. (1992). Understanding cultural diversity and learning. Educational Researcher, 21(8), 5-14. https://doi.org/10.3102/001318....
 
68.
Ojose, B. (2011). Mathematics Literacy : Are We Able To Put The Mathematics We Learn Into Everyday Use? Journal of Mathematics Education., 4(1), 89-100. http://educationforatoz.com/im....
 
69.
Orey, D. C., & Rosa, M. (2006). Ethnomathematics: Cultural assertions and challenges towards pedagogical action. The Journal of Mathematics and Culture, 1(1), 57-78.
 
70.
Orey, D. C., & Rosa, M. (2008). Ethnomathematics and cultural representations: teaching in highly diverse contexts.
 
71.
Palhares, P. (2010). Studying artifacts in order to find out people’s ways of thinking mathematically. Pme Conference Proceedings, 1, 323-327.
 
72.
Powell, A. B., & Frankenstein, M. (1997). Ethnomathematics: Challenging Eurocentrism in mathematics education. State University of New York Press Albany, NY.
 
73.
Presmeg, N. C. (1998). Ethnomathematics in teacher education. Journal of Mathematics Teacher Education, 1(3), 317-339. https://doi.org/10.1023/A:1009....
 
74.
Rosa, M., & Orey, D. C. (2003). Vinho e queijo: etnomatemática e modelagem! Bolema-Boletim de Educação Matemática, 16(20), 1-16.
 
75.
Rosa, M., & Orey, D. C. (2005). Las races históricas del programa etnomatemáticas. Revista Latinoamericana de Investigación En Matemática Educativa, RELIME, 8(3), 363-377.
 
76.
Rosa, M., & Orey, D. C. (2010). Ethnomodeling as a pedagogical tool for the ethnomathematics program. Revista Latinoamericana de Etnomatemática, 3(2), 14-23.
 
77.
Rosa, M., & Orey, D. C. (2011). Ethnomodeling: a pedagogical action for uncovering ethnomathematical practices. Journal of Mathematical Modelling and Application, 1(3), 58-67.
 
78.
Rosa, M., & Orey, D. C. (2012). The field of research in ethnomodeling: emic, ethical and dialectical approaches. Educação e Pesquisa, 38(4), 865-879. https://doi.org/10.1590/S1517-....
 
79.
Rosa, M., & Orey, D. C. (2013a). Ethnomodelling as a methodology for ethnomathematics. In Teaching mathematical modelling: connecting to research and practice (pp. 77-88). Springer. https://doi.org/10.1007/978-94....
 
80.
Rosa, M., & Orey, D. C. (2013b). The mathematics of the curves on the wall of the Colégio Arquidiocesano and its mathematical models: a case for ethnomodeling. Journal of Mathematical Modelling and Application, 1(8), 42-62.
 
81.
Rosa, M., & Orey, D. C. (2016). State of the art in Ethnomathematics. In Current and future perspectives of ethnomathematics as a program (pp. 11-37). Springer. https://doi.org/10.1007/978-3-....
 
82.
Rubio, J. S. (2016). The ethnomathematics of the Kabihug Tribe in Jose Panganiban, Camarines Norte, Philippines. Malaysian Journal of Mathematical Sciences, 10, 211-231.
 
83.
Schoenfeld, A. H. (1989). Teaching mathematical thinking and problem solving. In L. B. Resnick, & B. L. Klopfer (Eds.), Toward the Thinking Curriculum: Current Cognitive Research (pp. 83-103). (1989 Yearbook of the American Society for Curriculum Development). Washington, DC: ASCD.
 
84.
Soares, D. B. (2009). The incorporation of the geometry involved in the traditional house building in mathematics education in Mozambique: the cases of zambezia and sofala provinces.
 
85.
Solaiman, N. P., & Manalundong, M. Q. (2017). The mathematical ideas involved in Maranao Weaving. Journal of Social Sciences (COES&RJ-JSS), 6, 610-617. https://doi.org/10.25255/jss.2....
 
86.
Spradley, J. P. (2016). The Ethnographic Interview. Waveland Press.
 
87.
Sunzuma, G., & Maharaj, A. (2019). Teacher-related Challenges Affecting the Integration of Ethnomathematics Approaches into the Teaching of Geometry. Eurasia Journal of Mathematics, Science and Technology Education, 15(9), em1744. https://doi.org/10.29333/ejmst....
 
88.
Suryaatamana, E., Darsa, U. A., Erlyane, A., & Wartini, T. (1992). Paririmbon Sunda (Jawa Barat), Rosyadi (ed.)). Direktorat Jenderal Kebudayaan.
 
89.
Syahrin, M. A., Turmudi, & Puspita, E. (2016). Study ethnomathematics of aboge (alif, rebo, wage) calendar as determinant of the great days of Islam and traditional ceremony in Cirebon Kasepuhan Palace. AIP Conference Proceedings, 1708(1), 60009. https://doi.org/10.1063/1.4941....
 
90.
Turmudi, Juandi, D., Hidayat, A. S., Puspita, E., & Ulum, A. S. (2016). Exploring ethno‐mathematics: How the baduy of Indonesia use traditional mathematics skills in weaving. International Journal of Control Theory and Applications, 9(23), 323-339.
 
91.
Turmudi, T. (2018). Kajian etnomatematika: Belajar matematika dengan melibatkan unsur budaya [Ethnomathematical studies: Learning mathematics involving cultural elements]. Prosiding Seminar Nasional Pendidikan Matematika Etnomatnesia - Proceedings of the National Seminar on Ethnomatnesian Mathematics Education.
 
92.
Umbara, U., & Suryadi, D. (2019). Re-Interpretation of mathematical literacy based on the teacher’s perspective. International Journal of Instruction, 12(4), 789-806. https://doi.org/10.29333/iji.2....
 
93.
Umbara, U., Wahyudin, & Prabawanto, S. (2019). Ethnomatematics: how does cigugur traditional community use palintangan on farming. Journal of Physics: Conference Series, 1265(1), 12025. https://doi.org/10.1088/1742-6....
 
94.
Van Den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9-35. https://doi.org/10.1023/B:EDUC....
 
95.
Vasquez, E. L. (2017). Ethnomathematics as an epistemological booster for investigating culture and pedagogical experience with the young offender or prison school communities. Journal of Education and Human Development, 6(2), 117-127. https://doi.org/10.15640/jehd.....
 
96.
Wahyudin, W. (2018). Etnomatematika Dan Pendidikan Matematika Multikultural [Ethnomatematics and Multicultural Mathematics Education]. Prosiding Seminar Nasional Pendidikan Matematika Etnomatnesia - Proceedings of the National Seminar on Ethnomatnesian Mathematics Education.
 
97.
Yusuf, M. W., Ibrahim Saidu, I., & Halliru, A. (2010). Ethnomathematics (A mathematical game in hausa culture). International Journal of Mathematical Science Education, 3(1), 36-42.
 
98.
Zaslavsky, C. (1991). World cultures in the mathematics class. For the Learning of Mathematics, 11(2), 32-36.
 
99.
Zaslavsky, C. (1994). “Africa Counts” and ethnomathematics. For the Learning of Mathematics, 14(2), 3-8.
 
100.
Zawojewski, J. (2013). Problem solving versus modeling. In Modeling students’ mathematical modeling competencies (pp. 237-243). Springer. https://doi.org/10.1007/978-94....
 
101.
Zeichner, K. M. (1996). Educating teachers to close the achievement gap: Issues of pedagogy, knowledge, and teacher preparation. Closing the Achievement Gap: A Vision for Changing Beliefs and Practices, 56-76.
 
102.
Zheng, Y. (1999). Ethnomathematics and mathematics education. Journal of Guizhou Normal University (Natural Science), 4, 90-95.
 
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