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Making sense of ethnomathematics: Ethnomathematics is making sense

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Abstract

There are unacknowledged difficulties within the literature of culture and mathematics, specifically in the use of the term ethnomathematics. As a step towards a more coherent approach, a framework to review the literature is proposed, and three authors examined. From this analysis, a definition of ethnomathematics is derived and elaborated. Two examples are reviewed as a test of the power of the definition and the resultant description of ethnomathematics.

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References

  • Abraham, J. and Bibby, N.: 1988, ‘Mathematics and society: Ethnomathematics and a public educator curriculum’, For The Learning of Mathematics 8(2), 2–11.

    Google Scholar 

  • Abreu, G. and Carraher, D.W.: 1989, ‘The mathematics of Brazilian sugar cane farmers’, Keitel, Damerow, Bishop and Gerdes (eds.), Mathematics, Education and Society, UNESCO, Paris.

    Google Scholar 

  • Ascher, M.: 1981, Code of the Quipu: A Study in Media, Mathematics and Culture, University of Michigan Press, Ann Arbor.

    Google Scholar 

  • Ascher, M. and Ascher, R.: 1986, ‘Ethnomathematics’, History of Science 24, 125–144.

    Google Scholar 

  • Ascher, M.: 1991, Ethnomathematics: A Multicultural View of Mathematical Ideas, Brooks/Cole Publishing Co., New York.

    Google Scholar 

  • Barrow, J.D.: 1992, Pi in the Sky, Clarendon Press, London.

    Google Scholar 

  • Bishop, A.J.: 1988, Mathematical Enculturation: A Culturation Perspective on Mathematics Education, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

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

    Google Scholar 

  • Bishop, J.: 1994, ‘Cultural conflicts in mathematics education: Developing a research agenda’, For The Learning of Mathematics 14(2), 15–18.

    Google Scholar 

  • Bloor, D.: 1976, Knowledge and Social Imagery, Routledge & Kegan Paul, London.

    Google Scholar 

  • Bloor, D.: 1983, Wittgenstein. A Social Theory of Knowledge, MacMillan Press, London.

    Google Scholar 

  • Borba, M.C.: 1990, ‘Ethnomathematics and education’, For The Learning of Mathematics 10(1), 39–42.

    Google Scholar 

  • Carraher, T.N., Carraher, D.W., and Schliemann, A.D.: 1985, ‘Mathematics in the street and in schools’, British Journal of Developmental Psychology 3, 21–29.

    Google Scholar 

  • Christie, M.J.: 1993, ‘Yolngu linguistics’, Journal of Australian Indigenous Issues, June 1993.

  • Cocking, R.R. and Mestre, J.P. (eds.): 1988, Linguistic and Cultural Influences on Learning Mathematics, Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • Cooke, M.: 1990, Seeing Yolngu, Seeing Mathematics, Batchelor College, Northern Territory, Australia.

    Google Scholar 

  • D/Ambrosio, U.: 1984, Socio-Cultural Bases for Mathematical Education: Proceedings of ICME-5, Adelaide.

  • D'Ambrosio, U.: 1985a, “Environmental influences’, Studies in Mathematics Education, Vol. 4, UNESCO, Paris.

    Google Scholar 

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

    Google Scholar 

  • D'Ambrosio, U.: 1987, Etnomatematica: Raizes Socio-Culturais da Arte ou Tecnica de Explicar e Conhecer, Cambinas, Sao Paulo.

  • D'Ambrosio, U.: 1989, ‘A research program and a course in the history of mathematics: Ethnomathematics’, Historia Mathematica 16, 285–288.

    Google Scholar 

  • D'Ambrosio, U.: 1990, ‘The role of mathematics education in building a democratic and just society’, For The Learning of Mathematics 10(3), 20–23.

    Google Scholar 

  • D'Ambrosio, U.: 1991, On Ethnoscience, CIMEC, Campinas.

    Google Scholar 

  • D'Ambrosio, U.: 1994, ‘Cultural framing of mathematics teaching and learning’, R. Biehler, R.W. Scholz, R. Sträßer, B. Winkelman (eds.), Didactics of Mathematics as a Scientific Discipline, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • D'Ambrosio, U. and Ascher, M.: 1994, ‘Ethnomathematics: A dialogue’, For The Learning of Mathematics 14(2), 36–43.

    Google Scholar 

  • Dowling, P.: 1991, ‘The contextualising of mathematics: Towards a theoretical map’, Harris, M. (ed.), Schools, mathematics and work, The Falmer Press, Basingstoke.

    Google Scholar 

  • Ernest, P.: 1991, The Philosophy of Mathematics Education, The Falmer Press, London.

    Google Scholar 

  • Fang, J. and Takayama, K.: 1975, Sociology of Mathematics and Mathematicians. A Prolegomenon, Paideia Press, Hauppauge, N.Y.

    Google Scholar 

  • Fasheh, M.: 1991, ‘Mathematics in a social context: Math within education as praxis versus math within education as hegemony’, Harris, M. (ed.), Schools, Mathematics and Work, The Falmer Press, Basingstoke.

    Google Scholar 

  • Frankenstein, M.: 1983, ‘Critical mathematics education: An applicatino of Paulo Freire's epistemology’, Journal of Education 165, 315–339.

    Google Scholar 

  • Frankenstein, M. and Powell, A.B.: 1989, ‘Mathematics education and society: Empowering non-traditional students’, Keitel, C. et al. (eds.), Mathematics, Education and Society, UNESCO, Paris.

    Google Scholar 

  • Gay, J. and Cole, M.: 1967, The New Mathematics and an Old Culture: A Study of Learning among the Kpelle of Nigeria, Holt, Rinehart & Winston, New York.

    Google Scholar 

  • Gerdes, P.: 1981, ‘Changing mathematics education in Mozambique’, Educational Studies in Mathematics 12, 455–477.

    Google Scholar 

  • Gerdes, P.: 1985, ‘Conditions and strategies for emancipatory mathematics education in undeveloped countries’, For The Learning of Mathematics 5(1), 15–34.

    Google Scholar 

  • Gerdes, P.: 1986a, ‘On culture, mathematics and curriculum development in Mozambique’, S. Mellin-Olsen and M. Johnson Hoines (eds.), Mathematics and Culture: A Seminar Report, Radal, pp. 15–42.

  • Gerdes, P.: 1986b, ‘How to recognise hidden geometrical thinking? A contribution to the development of anthropological mathematics’, For The Learning of Mathematics 6(2), 10–12, 17.

    Google Scholar 

  • Gerdes, P.: 1988a, ‘A widespread decorative motif and the Pythagorean theorem’, For The Learning of Mathematics 8(1), 35–39.

    Google Scholar 

  • Gerdes, P.: 1988b, ‘On possible uses of traditional angolan sand drawings in the mathematics classroom’, Educational Studies in Mathematics 19(1), 3–22.

    Google Scholar 

  • Gerdes, P.: 1988c, ‘On culture, geometrical thinking and mathematics education’, Educational Studies in Mathematics 19, 137–162.

    Google Scholar 

  • Gerdes, P.: 1989a, ‘The use of ethnomathematics in the classroom’, Proceedings of Politics of Mathematics Education Conference, NECC Mathematics Commission, University of Western Cape, 26–36.

  • Gerdes, P.: 1989b, ‘Reconstruction and extension of lost symmetries: Examples from the Tamil of South India’, Computers and Mathematics with Applications 17(4–6), 791–813.

    Google Scholar 

  • Gerdes, P.: 1990, ‘On mathematical elements in the Tchokwe ‘sona’ tradition’, For The Learning of Mathematics 10(1), 31–34.

    Google Scholar 

  • Gerdes, P.: 1991a, Lusona: Geometrical recreations of Africa, Eduardo Mondlane University Press, Maputo.

    Google Scholar 

  • Gerdes, P.: 1991b, ‘Ethnomathematical research: Preparing a response to a major challenge to mathematics education in Africa’, Proceedings 3rd Pan-African Congress of Mathematics, Nairobi.

  • Gerdes, P.: 1991c, ‘Exploration of the mathematical potential of SONA: An example of stimulating cultural awareness in mathematics teacher education’, Proceedings 8th Symposium of the Southern Africa Mathematical Sciences Assoc., Maputo.

  • Gerdes, P.: 1992, ‘On the history of mathematics in Africa South of the Sahara’, AMUCHMA Newsletter 9, Higher Pedagogical Institute, Maputo, 3–32.

    Google Scholar 

  • Gerdes, P.: 1993a, Ethnomathematics and Education in Africa, University of Stockholm Institute of International Education.

  • Gerdes, P.: 1993b, ‘Survey of current work on ethnomathematics’, Paper for Annual Meeting of the American Association for the Advancement of Science, Boston.

  • Gerdes, P.: 1994, ‘Reflections on ethnomathematics’, For The Learning of Mathematics 14(2), 19–22.

    Google Scholar 

  • Gerdes, P.: in press, Ethnomathematics and Education in Africa, Inst. of International Education, University of Stockholm.

  • Joseph, G.G.: 1991, The Crest of the Peacock: Non-European Roots of Mathematics, Tauris, London.

    Google Scholar 

  • Kline, M.: 1953, Mathematics in Western Culture, Oxford University Press, Oxford.

    Google Scholar 

  • Knight, G.H.: 1984, ‘The geometry of Maori Art-rafter patterns’, NZ Mathematics Magazine 21(2), 36–41.

    Google Scholar 

  • Knijnik, G.: 1993, ‘An ethnomathematical approach in mathematical education: A matter of polical power’, For The Learning of Mathematics 13(2), 23–26.

    Google Scholar 

  • Kyselka, W.: 1987, An Ocean in Mind, University of Hawai'i Press, Honolulu.

    Google Scholar 

  • Lave, J.: 1988, Cognition in Practice: Mind, Mathematics and Culture in Everyday Life, Cambridge University Press, New York.

    Google Scholar 

  • Mellin-Olsen, S.: 1987, The Politics of Mathematics Education, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Mtetwa, K.J.: 1991, An Investigation of Zimbabwean Secondary School Students' Mathematical Beliefs and Classroom Contexts, Unpublished Doctoral Dissertation, University of Virginia.

  • Nunes, T.: 1992, ‘Ethnomathematics and everyday cognition’, D.A. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, MacMillan, New York.

    Google Scholar 

  • Oates, G.: 1994, Masters seminar, The University of Auckland.

  • Penrose, R.: 1989, The Emperor's New Mind: Concerning Computers, Minds and the Laws of Physics, Oxford University Press, Oxford.

    Google Scholar 

  • Pinxten, R., vanDooren, I., and Soberon, E.: 1987, Towards a Navajo Indian Geometry, K.K.I. Books, Gent.

    Google Scholar 

  • Pompeu, G.: 1992, Bringing Ethnomathematics into the School Curriculum, Unpublished Doctoral Dissertation, University of Cambridge.

  • Restivo, S.: 1992, Mathematics in Society and History: Sociological Enquiries, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Restivo, S., vanBendegem, J.P., and Fischer, R. (eds.): 1993, Math Worlds: Philosophical and Social Studies of Mathematics and Mathematics Education, State University of New York Press, Albany, N.Y.

    Google Scholar 

  • Saxe, G.B.: 1990, Culture and Cognitive Development: Studies in Mathematical Understanding, Lawrence Erlbaum Press, Hillsdale, N.J.

    Google Scholar 

  • Secada, W.G.: 1992, ‘Race, ethnicity, social class, language, and achievement in mathematics’, D.A. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, MacMillan, New York.

    Google Scholar 

  • Stephens, M., Waywood, A., Clarke, D., and Izard, J.: 1994, Communicating Mathematics; Perspectives from Classroom Practice and Current Research, Australian Council for Educational Research, Hawthorn, Australia.

    Google Scholar 

  • Swetz, F.J.: 1987, Capitalism and Arithmetic: The New Math of the 15th Century, Open Court, La Salle, Illinois.

    Google Scholar 

  • Turnbull, D.: 1991, Mapping the World in Mind: An Investigation of the Unwritten Knowledge of the Micronesian Navigators, Deakin University Press, Geelong.

    Google Scholar 

  • Vithal, R.: 1992, The Construct of Ethnomathematics and Implications for Curriculum Thinking in South Africa, Unpublished M.Phil. Dissertation, University of Cambridge.

  • Zaslavsky, C.: 1973, Africa Counts: Number and Pattern in African Culture, Prindle, Weber, and Schmidt, Boston.

    Google Scholar 

  • Zaslavsky, C.: 1994, “‘Africa Counts” and ethnomathematics’, For The Learning of Mathematics 14(2), 3–8.

    Google Scholar 

  • Zheng, Y.: 1994, ‘Some remarks on the philosophy of mathematics education’, POME Newsletter, February 1994.

Download references

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  1. Department of Mathematics, The University of Auckland, P.B. 92 019, Auckland, New Zealand

    Bill Barton

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Barton, B. Making sense of ethnomathematics: Ethnomathematics is making sense. Educ Stud Math 31, 201–233 (1996). https://doi.org/10.1007/BF00143932

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