Beyond songs and dances: Ethnomathematics and the challenge of culture
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https://doi.org/10.22267/relatem.20133.63Palavras-chave:
Ethnomathematics, Culture, Mutual Interrogation, Dual dangersResumo
In this paper, I discuss the pitfalls of the anthropological notion of culture when used in the field of ethnomathematics, and use Dowling’s myth of reference and myth of emancipation to show how these are linked to what I refer to as the dual dangers – the dangers of decontextualization and knowledge colonization in the field of ethnomathematics. I argue that these two dangers arise from a naïve approach to ethnomathematics research that is informed by the anthropological notion of culture. The paper provides some examples from the Philippines and one from New Zealand on how these dual dangers may manifest while pursuing studies in ethnomathematics and programs for culturally relevant mathematics education.
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Alangui, W. (2010). Stone Walls and Water Flows: Interrogating Cultural Practice and Mathematics. Auckland, New Zealand: University of Auckland.
Alangui, W., & Barton, B. (2002). A Methodology for Ethnomathematics. Paper presented at the Second International Congress on Ethnomathematics (ICEM2), CD Rom, Ouro Preto, Brazil.
Appadurai, A. (1990). Disjuncture and difference in the global cultural economy. Public Culture, 2(2), 1-24.
Canclini, N. G. (1993). Transforming Modernity: Popular Culture in Mexico (L. Lozano, Trans.). Austin: University of Texas Press.
Barton, W. D. (1996). Ethnomathematics: Exploring Cultural Diversity in Mathematics. The University of Auckland, Auckland.
Barton, B. (2008). The Language of Mathematics: Telling Mathematical Tales. New York: Springer.
Begg, A. (2001). Ethnomathematics: Why, and What Else? Zentralblatt fur Didaktik der Mathematik, 33(3).
Bishop, A. (1988). Mathematics Enculturation: A Cultural Perspective on Mathematics Education. Dordrecht: Kluwer Academic Publishers.
Carrithers, M. (1992). Why Humans have Cultures: Explaining Anthropology and Social Diversity. Oxford: Oxford University Press.
D'Ambrosio, U. (1999). Literacy, Matheracy, and Technocracy: A Trivium for Today. Mathematical Thinking and Learning, 1(2), 131-153.
D'Ambrosio, U. (2000). A Historiographical Proposal for Non-Western Mathematics. In H. Selin (Ed.), Mathematics Across Cultures: The History of Non-Western Mathematics (Vol. 2, pp. 79-92). The Netherlands: Kluwer Academic Publishers.
Dowling, P. (1998). The Sociology of Mathematics Education: Mathematical Myths/Pedagogical Texts. London and Washington D.C.: The Falmer Press.
Eglash, R. (1997). When Math Worlds Collide: Intention and Invention in Ethnomathematics. Science, Technology & Human Values, 22(1), 79-98.
Eglash, R. (2000). Anthropological Perspectives on Ethnomathematics. In H. Selin (Ed.), Mathematics Across Cultures: The History of Non-Western Mathematics (Vol. 2, pp. 13-22). Dordrecht: Kluwer Academic Publishers.
Fantinato, M.C. & Sousa Mafra, J. R. (2016). Techniques and Learning Processes of Craftswomen in Brazil. In M. Rosa, L. Shirley, ME Gavarette & W. Alangui (Eds.). Ethnomathematics and its Diverse Approaches for Mathematics Education (pp. 69-95). Cham: Springer International Publishing AG
Fossa, J. (1998). How to give ethnomathematics a bad name. ISGEM Newsletter, 14(12).
Foucault, M. (1977). Discipline and Punish: The Birth of the Prison (A. Sheridan, Trans.). New York: Pantheon Books.
Fritze, R. (2002). New Worlds: The Great Voyages of Discovery 1400-1600. Westport, CT and London: Praeger Publishers.
Gerdes, P. (1986). How to Recognise Hidden Geometrical Thinking? A Contribution to the Development of Anthropological Mathematics. For the Learning of Mathematics, 6(2), 10-12.
Gerdes, P. (1991). Lusona: Geometrical Recreations of Africa. Maputo: Eduardo Mondlane University Press.
Gerdes, P. (1997). On Culture, Geometrical Thinking and Mathematics Education. In A. Powell & M. Frankenstein (Eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education (pp. 223-247). Albany: State University of New York Press.
Hottinger, S. (2016). Inventing The Mathematician: Gender, Race and Our Cultural Understanding of Mathematics. Albany: SUNY Press
McConaghy, C. (2000). Rethinking Indigenous Education: Culturalism, Colonialism and the Politics of Knowing. Queensland: Post Pressed.
Mendoza, J. (2001). The Condition of Indigenous Knowledge (IK) from a Structurationist Perspective. In V. Rico-Costina & M.-L. Difuntorum (Eds.), Towards Understanding Peoples of the Cordillera: A Review of Research on History, Governance, Resources, Institutions and Living Traditions (Vol. 2. Pp-pp). Baguio: Cordillera Studies Center, University of the Philippines Baguio.
Millroy, W. L. (1992). An Ethnographic Study of the Mathematical Ideas of a Group of Carpenters. Journal for Research in Mathematics Education, 5 (1-210).
Moore, J. (1997). Visions of Culture: An Introduction to Anthropological Theories and Theorists. Walnut Creek: AltaMitra Press.
Pais, A. (2011). Criticisms and Contradictions of Ethnomathematics. Educational Studies in Mathematics, 76, 209-230.
Parra, A. (2017). Ethnomathematical Barters. In H. Straehler-Pohl, N. Bohlmann, A. Pais (Eds). The Disorder of Mathematics Education (pp. 89-105). Cham: Springer International Publishing.
Peters, M. (2001). Cultural Postmodernity in Aotearoa/New Zealand: Biculturalism, Multiculturalism and Transculturalism. Auckland: Unpublished manuscript.
Ray, W. (2001). The Logic of Culture: Authority and Identity in the Modern Era. Oxford: Blackwell Publishers Ltd.
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.
Smith, L. T. (1999). Decolonizing Methodologies: Research and Indigenous Peoples. London & New York: Zed Books Ltd.
Stathopoulou, C. (2016). Once Upon a Time… The Gypsy Boy Turned 15 While Still in the First Grade. In M. Rosa, L. Shirley, ME Gavarette & W. Alangui (Eds.). Ethnomathematics and its Diverse Approaches for Mathematics Education (pp. 97 – 124). Cham: Springer International Publishing AG.
Strauss, C. (2000). The Culture Concept and the Individualism-Collectivism Debate and Alternative Attributions for Class in the United States. In L. Nucci, G. Saxe & E. Turiel (Eds.), Culture, Thought and Development. New Jersey: Lawrence Earlbaum Associates, Inc.
The Faculty of the Discipline of Mathematics, UP College Baguio. (1996). The Algebra of the Weaving Patterns, Gong Music, and Kinship System of the Kankanaey of Mountain Province. Quezon City: Center for Integrative and Development Studies, University of the Philippines and the Department of Education, Culture and Sports Republic of the Philippines.
Tully, J. (1995). Strange Multiplicity: Constitutionalism in an Age of Diversity. Cambridge: Cambridge University Press.
Vincent, J. (1991). Engaging Historicism. In R. G. Fox (Ed.), Recapturing Anthropology. Santa Fe: School of American Press.
Vithal, R., & Skovsmose, O. (1997). The End of Innocence: A Critique of 'Ethnomathematics'. Educational Studies in Mathematics, 34. pp. 131-157.
Welsch, W. (1999). Transculturality: The Puzzling Form of Cultures Today. In M. Featherstone & S. Lash (Eds.), Spaces of Culture: City, Nation, World (59-86). London: Sage Publications Ltd.
Wolf, E. (1982). Europe and the People without History. London: University of California Press.
Zaslavksy, C. (1973). Africa Counts. Boston, MA: Prindle, Weber & Schmidt, Inc.
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