Abstract
This chapter identifies and criticizes one assumption of the ethnomathematical research field, regarding the ways in which the relationship between mathematics and culture is addressed. Many developments and theoretical conflicts within this field can be traced to that assumption, which has been widespread indistinctly by practitioners and critics of ethnomathematics. Looking for a new understanding of this field, an alternative approach is proposed, trying to respond to some theoretical critiques and prompting new horizons. This intended approach privileges non-colonialist interactions among stakeholders, recognizing their different interests, their different ways to conceptualize and their interdependence. It is discussed how interactions can be conducted to hybridize different kinds of knowledge, constituting political and epistemological endeavors. The essay concludes observing which types of problems would appear due to the new approach.
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Notes
- 1.
For instance, the term most used to describe the theoretical interplay is precisely the image of field, as a place where objects of a theory coexist and can be gathered in particular ways. Accordingly, researchers declare which is their position in the field and how they see the objects, when they state their personal understandings of the theory.
References
Alangui, W. (2010). Stone walls and water flows: Interrogating cultural practice and mathematics. Auckland, New Zealand: University of Auckland.
Albertí Palmer, M. (2007). Interpretación matemática situada de una práctica artesanal. Barcelona: Universitat Autónoma de Barcelona.
Ascher, M., & Ascher, R. (1986). Ethnomathematics. History of Science, 24, 125–144.
Barton, B. (1996). Making sense of ethnomathematics: Ethnomathematics is making sense. Educational Studies in Mathematics, 31(1–2), 201–233.
Barton, B. (2008). The language of mathematics: Telling mathematical tales (Mathematics Education Library). New York: Springer.
Bishop, A. J. (1994). Cultural conflicts in mathematics education: Developing a research agenda. For the Learning of Mathematics, 14(2), 15–18.
Brayboy, B. M. J. (2008). Yakkity yak” and “talking back”: An examination of sites of survivance in Indigenous knowledge. In M. Villegas, S. Neugebauer, & K. Venegas (Eds.), Indigenous knowledge and education: Sites of struggle, strength, and survivance (pp. 339–346). Cambridge, MA: Harvard Education Press.
Caicedo, N., Guegia, G., Parra, A., Guegia, A., Guegia, C., Calambas, L., et al. (2009). Matemáticas en el mundo Nasa. Bogotá, Colombia: CIIIT.
Cauty, A. (2001). Matemática y Lenguajes: Como seguir siendo amerindio y aprender la matemáticas que necesitara? In A. L. G. Zapata (Ed.), Pluriculturalidad y aprendizaje de la matemática en américa latina: Experiencias y desafíos (pp. 49–87). Madrid: Ediciones Morata.
Chambers, I. (1996). Signs of silence, lines of listening. In I. Chambers & L. Curti (Eds.), The post-colonial question: Common skies, divided horizons (pp. 47–62). London: Routledge.
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. (1993). Etnomatemática: Um Programa. Educação Matemática em Revista: Revista da Sociedade Brasileira de Educação Matemática–SBEM, 1(1), 5–11.
D’Ambrosio, U. (2001). Etnomatemática: elo entre as tradições e a modernidade. Belo Horizonte: Autêntica Editora.
D’Ambrosio, U. (2006). Ethnomathematics. Link between traditions and modernity. Rotterdam: Sense Publishers.
D’Ambrosio, U. (2012). The Program Ethnomathematics: the theoretical basis and dynamics of cultural encounters Cosmopolis. A Journal of Cosmopolitics/Revue de cosmopolitique, 3–4, 13–41.
Eglash, R. (2000). Anthropological perspectives on ethnomathematics. In H. Selin & U. D’Ambrosio (Eds.), Mathematics Across Cultures (pp. 13–22). Dordrecht: Springer.
Fasheh, M. (1990). Community education: To reclaim and transform what has been made invisible. Harvard Educational Review, 60(1), 19–35.
Ferreira, E. S. (1994). A importância do conhecimento etnomatemático indígena na escola dos não-índios. Em Aberto, 14(62), 89–95.
Furuto, L. H. L. (2014). Pacific ethnomathematics: Pedagogy and practices in mathematics education. Teaching Mathematics and Its Applications, 33(2), 110–121. doi:10.1093/teamat/hru009.
Gerdes, P. (2007). Etnomatemática—Reflexões sobre Matemática e Diversidade Cultura. Ribeirão: Edições Húmus.
Knijnik, G. (1996). Exclusão e resistência: educação matemática e legitimidade cultural. Porto Alegre, Brazil: Artes Médicas.
Knijnik, G. (2012). Differentially positioned language games: Ethnomathematics from a philosophical perspective. Educational Studies in Mathematics, 80(1–2), 87–100. doi:10.1007/s10649-012-9396-8.
Knijnik, G., Wanderer, F., Giongo, I., & Duarte, C. G. (2012). Etnomatemática em movimento. Belo Horizonte: Autêntica.
Lins, R. C. (2004). Matemática, monstros, significados e educação matemática. In M. A. V. Bicudo & M. C. O. Borba (Eds.), Educação matemática: pesquisa em movimento (pp. 92–120). São Paulo: Cortez.
Lizcano, E. (2002). Las matemáticas de la tribu europea: un estudio de caso. In II International Congress on Ethnomathematics, Ouro Preto, Brasil (pp. 5–8).
Meaney, T., Trinick, T., & Fairhall, U. (2011). Collaborating to meet language challenges in indigenous mathematics classrooms (Mathematics Education Library (Vol. 52)). New York: Springer.
Miarka, R., & Bicudo, M. A. V. (2012). Matemática e/na/ou Etnomatemática? Revista Latinoamericana de Etnomatemática: Perspectivas Socioculturales de la Educación Matemática, 5(1), 149–158.
Millroy, W. L. (1992). An ethnographic study of the mathematical ideas of a group of carpenters. Journal for Research in Mathematics Education. Monograph, 5. doi: 10.2307/749904.
NASGEM. Journal of Mathematics and Culture. Retrieved October 23, from http://nasgem.rpi.edu/pl/journal-mathematics-culture.
Pais, A. (2011). Criticisms and contradictions of ethnomathematics. Educational Studies in Mathematics, 76(2), 209–230. doi:10.1007/s10649-010-9289-7.
Pais, A. (2012). A investigação em etnomatemática e os limites da cultura. Reflexão e Ação, 20(2), 32–48.
Pais, A. (2013). Ethnomathematics and the limits of culture. For the Learning of Mathematics, 33(3), 2–6.
Rohrer, A. V., & Schubring, G. (2013). The interdisciplinarity of ethnomathematics: Challenges of ethnomathematics to mathematics and its education. Revista Latinoamericana de Etnomatemática: Perspectivas Socioculturales de la Educación Matemática, 6(3), 78–87.
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. doi:10.1023/A:1020532926983.
Selin, H., & D’Ambrosio, U. (2001). Mathematics across cultures: The history of non-Western mathematics (Vol. 2). Dordrecht: Springer.
Townsend, S. (2012). Minga: The communal work tradition of Bolivia. Americas, 64(3), 14–17.
Vithal, R., & Skovsmose, O. (1997). The end of innocence: A critique of “ethnomathematics”. Educational Studies in Mathematics, 34(2), 131–157. doi:10.1023/A:1002971922833.
Woolgar, S. (1988). Knowledge and reflexivity: New frontiers in the sociology of knowledge. London: Sage.
Acknowledgments
A brief and early version of this chapter was published in the Proceeding of the Eighth International Mathematics Education and Society Conference, in 2015. The research leading to this chapter was funded by Departamento Administrativo de Ciencias, Tecnología e Innovación (COLCIENCIAS) and Aalborg University in Denmark. I would like to thank the members of the Science and Mathematics Education Research Group (SMERG) at Aalborg University for their comments on previous drafts of this chapter. This research is also part of the NordForsk Center of Excellence “JustEd.”
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Parra-Sanchez, A. (2017). Ethnomathematical Barters. In: Straehler-Pohl, H., Bohlmann, N., Pais, A. (eds) The Disorder of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-34006-7_6
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