Misuse in Ethnomathematics Research: A Review of Philosophy of Mathematics and Mathematics Education

Authors

  • Muhammad Zia Alghar Sekolah Tinggi Agama Islam Negeri Mandailing Natal
  • Rina Sari Lubis Sekolah Tinggi Agama Islam Negeri Mandailing Natal

DOI:

https://doi.org/10.56874//jmtl.2025.v4.i1/2288/5

Keywords:

Misuse, Ethnomathematics, Critique, Mathematics Education Philosophy

Abstract

This research was inspired by a study conducted by Pais (2011), which presents criticisms and contradictions in ethnomathematics. The criticism presented refers to the philosophy of ethnomathematics which is considered contrary to the purpose of ethnomathematics itself. Reflecting on Pais' (2011) study, this research aims to examine forms of misuse in ethnomathematics research. A philosophical approach is used to show that such misuse is often unconscious and has deviated from the original purpose of ethnomathematics. This research uses a qualitative approach with a literature study type. The literature analyzed came from books, scientific articles, and documents related to ethnomathematics and the philosophy of mathematics education. The results of this study identified two main categories of misuse in ethnomathematics research, namely oversimplifying mathematical content and cultural value distortion in ethnomathematics research. The findings are expected to contribute to redirecting ethnomathematics research in accordance with the philosophical foundations proposed by its originators.

Author Biographies

Muhammad Zia Alghar, Sekolah Tinggi Agama Islam Negeri Mandailing Natal

Tadris Matematika, Sekolah Tinggi Agama Islam Negeri Mandailing Natal

Rina Sari Lubis, Sekolah Tinggi Agama Islam Negeri Mandailing Natal

Tadris Matematika, Sekolah Tinggi Agama Islam Negeri Mandailing Natal

References

Albanese, V. (2021). Bundles of Ethnomathematical Expertise Residing with Handicrafts, Occupations, and Other Activities Across Cultures. Handbook of Cognitive Mathematics, 1–34. https://doi.org/10.1007/978-3-030-44982-7_2-1

Alghar, M. Z., & Jamaluddin. (2024). Ethnomodelling: Fractal Geometry On The Door Ornament Of The Sumenep Palace Using The Lindenmayer System. Euclid, 11(1), 1–16. https://doi.org/10.33603/x5gk7n46

Alghar, M. Z., & Marhayati. (2023). Ethnomathematics: Exploration of Fractal Geometry in Gate Ornaments of The Sumenep Jamik Mosque Using The Lindenmayer System. Indonesian Journal of Science and Mathematics Education, 6(3), 311–329. https://doi.org/10.24042/ijsme.v6i3.18219

Alghar, M. Z., & Radjak, D. S. (2024). Systematic Literature Review: Implementation of Ethnomodelling in Mathematics Learning. Union, 12(1), 67–81. https://doi.org/10.30738/union.v12i1.17004

Appelbaum, P., & Stathopoulou, C. (2023). History of Ethnomathematics: Recent Developments. The Role of the History of Mathematics in the Teaching/Learning Process, 189–207. https://doi.org/10.1007/978-3-031-29900-1_8

Ascher, M., & D’Ambrosio, U. (1994). Ethnomathematics: A dialogue. For the Learning of Mathematics, 14(2), 36–43.

Barton, B. (1999). Ethnomathematics and philosophy. ZDM, 31(2), 54–58. https://doi.org/10.1007/s11858-999-0009-7

Bishop, A. J. (1988). The interactions of mathematics education with culture. Cultural Dynamics, 1(2), 145–157.

Bishop, A. J. (1990). Western mathematics: The secret weapon of cultural imperialism. Race & Class, 32(2), 51–65.

Bishop, A. J. (1997). The relationship between mathematics education and culture. Opening Address Delivered of Iranian Mathematics Education Conference. Kermannshah, Iran. Retrieved from Https://Www. Researchgate. Net/Publication/255590052.

Cimen, O. A. (2014). Discussing Ethnomathematics: Is Mathematics Culturally Dependent? Procedia - Social and Behavioral Sciences, 152, 523–528. https://doi.org/10.1016/j.sbspro.2014.09.215

Cobb, P., & Yackel, E. (1996). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Educational Psychologist, 31(3–4), 175–190. https://doi.org/10.1080/00461520.1996.9653265

D’Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 5(1), 44–48.

D’Ambrosio, U. (1999). Literacy, matheracy, and technocracy: A trivium for today. Mathematical Thinking and Learning, 1(2), 131–153.

D’Ambrosio, U. (2007). Peace, social justice and ethnomathematics. The Montana Mathematics Enthusiast, Monograph, 1, 25–34.

D’Ambrosio, U. (2016). An Overview of the History of Ethnomathematics. In M. Rosa, U. D’Ambrosio, D. C. Orey, L. Shirley, W. V Alangui, P. Palhares, & M. E. Gavarrete (Eds.), Current and Future Perspectives of Ethnomathematics as a Program (pp. 5–10). Springer International Publishing. https://doi.org/10.1007/978-3-319-30120-4_2

Desai, S., Safi, F., Bush, S. B., Wilkerson, T., Andreasen, J., & Orey, D. C. (2022). Ethnomodeling: Extending Mathematical Modeling Research in Teacher Education. Investigations in Mathematics Learning, 14(4), 305–319. https://doi.org/10.1080/19477503.2022.2139092

Ernest, P. (1991). The Philosophy of Mathematics Education. Taylor & Francis.

Flick, U. (2013). The SAGE handbook of qualitative data analysis. Sage Publications.

François, K., & Van Kerkhove, B. (2010). Ethnomathematics and the philosophy of mathematics (education). In B. Löwe & T. Müller (Eds.), Philosophy of Mathematics: Sociological Aspects and Mathematical Practice.Texts in Philosophy 11 (11th ed., pp. 121–154). Citeseer.

Glas, E. (1998). Fallibilism and the Use of History in Mathematics Education. Science & Education, 7(4), 361–379. https://doi.org/10.1023/A:1008695214877

Harding, J. L. (2021). Ethnomathematics affirmed through cognitive mathematics and academic achievement: quality mathematics teaching and learning benefits. Handbook of Cognitive Mathematics, 1–30. https://doi.org/10.1007/978-3-030-44982-7_5-1

Knijnik, G. (2012). Differentially positioned language games: ethnomathematics from a philosophical perspective. Educational Studies in Mathematics, 80(1), 87–100. https://doi.org/10.1007/s10649-012-9396-8

Nuryadi, N., Zaenuri, Z., & Kharisudin, I. (2021). A Systematic Literature Review: Characteristic of Ethnomathematical-Based Subject Specific Pedagogy. Technuim Social Science Journal, 24(1), 54–64.

Orey, D. C., & Rosa, M. (2022). A Pedagogical Action Of Ethnomodelling For The Implemenation Of The Law 11.645/08. ReDiPE: Revista Diálogos e Perspectivas Em Educação, 4(2), 192–207.

Pais, A. (2011). Criticisms and contradictions of ethnomathematics. Educational Studies in Mathematics, 76(2), 209–230. https://doi.org/10.1007/s10649-010-9289-7

Pradana, K. C., Putra, A. R., & Rahmawati, Y. (2022). Ethnomathematics on Traditional Culture: A Bibliometric Mapping Analysis and Systematic Review on Database Scopus. International Journal Corner of Educational Research, 1(1), 1–8. https://doi.org/10.54012/ijcer.v1i1.61

Rodrigues, J., Orey, D. C., & Rosa, M. (2021). Ethnomathematical trails as a proposal for a pedagogical action. Revista Interdisciplinar de Ensino de Ciências e Matemática, 1(2), 125–141.

Rosa, M., & Orey, D. C. (2016). Humanizing Mathematics through Ethnomodelling. Journal of Humanistic Mathematics, 6(2), 3–22. https://doi.org/10.5642/jhummath.201602.03

Rosa, M., & Orey, D. C. (2022). Emic, Etic, Dialogic, and Linguistic Perspectives on Ethnomodeling. Handbook of Cognitive Mathematics, 161–190. https://doi.org/10.1007/978-3-031-03945-4_3

Rowlands, S., & Carson, R. (2002). Where would formal, academic mathematics stand in a curriculum informed by ethnomathematics? A critical review of ethnomathematics. Educational Studies in Mathematics, 50(1), 79–102. https://doi.org/10.1023/A:1020532926983

Rowlands, S., Graham, T., & Berry, J. (2011). Problems with Fallibilism as a Philosophy of Mathematics Education. Science & Education, 20(7), 625–654. https://doi.org/10.1007/s11191-010-9234-2

Sari, T. A. M., Sholehatun, A. N., Rahma, S. A., & Prasetyo, R. B. (2021). Eksplorasi Etnomatematika pada Seni Batik Madura dalam Pembelajaran Geometri. Journal of Instructional Mathematics, 2(2), 71–77. https://doi.org/10.37640/jim.v2i2.1032

Spradley, J. P. (1997). Metode Etnografi. Tiara Wacana.

Suhaimi. (2020). Heterogenitas sosio kultur Madura dalam adat pertunangan. Litera.

Umbara, U., Wahyudin, W., & Prabawanto, S. (2021). Exploring ethnomathematics with ethnomodeling methodological approach: How does cigugur indigenous people using calculations to determine good day to build houses. Eurasia Journal of Mathematics, Science and Technology Education, 17(2), 1–19. https://doi.org/10.29333/ejmste/9673

Vilela, D. S. (2010). Discussing a philosophical background for the ethnomathematical program. Educational Studies in Mathematics, 75(3), 345–358. https://doi.org/10.1007/s10649-010-9261-6

Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes (Vol. 86). Harvard university press.

Wittgenstein, L. (2009). Philosophical investigations. John Wiley & Sons.

Xu, H., & Ball, R. (2024). Indigenous Mathematics: From Mainstream Misconceptions to Educational Enrichment. Canadian Journal of Science, Mathematics and Technology Education, 24(1), 1–16. https://doi.org/10.1007/s42330-024-00321-5

Zayyadi, M. (2017). Eksplorasi Etnomatematika Pada Batik Madura. Sigma, 2(2), 35–40.

Žižek, S. (1997). Multiculturalism, or, the cultural logic of multinational capitalism. New Left Review Ljubljana.

Downloads

Published

30-06-2025

How to Cite

Alghar, M. Z., & Lubis, R. S. (2025). Misuse in Ethnomathematics Research: A Review of Philosophy of Mathematics and Mathematics Education. Journal of Matematics In Teaching and Learning, 4(1), 263–274. https://doi.org/10.56874//jmtl.2025.v4.i1/2288/5