Skip to main content
Log in

Where would formal, academic mathematics stand in a curriculum informed by ethnomathematics? A critical review of ethnomathematics

  • Published:
Educational Studies in Mathematics Aims and scope Submit manuscript

Abstract

This paper is a critical review of the ethnomathematics literature and classifies ethnomathematics according to where it might stand in relation to the teaching of formal, academic mathematics. This paper investigates what it sees as four possibilities: ethnomathematics should replace academic mathematics, ethnomathematics should be a supplement to the mathematics curriculum, ethnomathematics should be used as a springboard for academic mathematics and ethnomathematics should be taken into consideration when preparing learning situations. We argue that it is only through the lens of formal, academic mathematics sensitive to cultural differences that the real value of the mathematics inherent in certain cultures and societies be understood and appreciated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  • Anderson, S.E.: 1997, 'Worldmath curriculum: Fighting Eurocentrism in mathematics' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 291–306.

    Google Scholar 

  • Barton, B.: 1996, 'Making sense of ethnomathematics: Ethnomathematics is making sense', Educational Studies in Mathematics 31, 201–233.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Boeha, B.B.: 1990, 'Aristotle, alive and well in Papua New Guinea science classrooms', Physics Education 25, 280–283.

    Google Scholar 

  • Borba, M.: 1997, 'Ethnomathematics and education' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism inMathematics Education, SUNY, Albany, pp. 261–272.

    Google Scholar 

  • Borba, M. and Skovsmose, O.: 1997, 'The ideology of certainty in mathematics education', For the Learning of Mathematics 17(3), 17–23.

    Google Scholar 

  • Carson, R.: 1997, 'Science and the ideals of liberal education', Science and Education 6(3), 225–238.

    Google Scholar 

  • Chalmers, A.: 1982, What is This Thing Called Science? Second edition. The Open University Press, Milton Keynes.

    Google Scholar 

  • Confrey, J.: 1999, 'Voice, perspective, bias and stance: Applying and modifying piagetian theory in mathematics education', in L. Burton (ed.), Learning Mathematics: From Hierarchies to Networks, Falmer, London.

    Google Scholar 

  • Croom, L.: 1997, 'Mathematics for all students: Access, excellence, and equity', in J. Trentacosta and M.J. Kenney (eds.), Multicultural and Gender Equity in the Mathematics Classroom: The Gift of Diversity, National Council of Teachers of Mathematics Yearbook 1997.

  • D'Ambrosio, U.: 1994, 'Ethnomathematics, the nature of mathematics and mathematics education', in P. Ernest (ed.), Mathematics, Education and Philosophy: An International Perspective, Falmer, London.

    Google Scholar 

  • D'Ambrosio, U.: 1997a, 'Ethnomathematics and its place in the history and pedagogy of mathematics' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 13–24.

    Google Scholar 

  • D'Ambrosio, U.: 1997b, 'Where does Ethnomathematics Stand Nowadays?', For the Learning of Mathematics 17(2), 13–17.

    Google Scholar 

  • Davidson, E. and Kramer, L.: 1997, 'Integrating with integrity: Curriculum, instruction, and culture in the mathematics classroom, in J. Trentacosta and M.J. Kenney (eds.), Multicultural and Gender Equity in the Mathematics Classroom: The Gift of Diversity, National Council of Teachers of Mathematics Yearbook, 1997.

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

    Google Scholar 

  • Fasheh, M.: 1997, 'Mathematics, culture, and authority', in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 273–290.

    Google Scholar 

  • Gerdes, P.: 1985, 'Conditions and strategies for emancipatory mathematics education in underdeveloped countries', For the Learning of Mathematics 5(1), 15–20.

    Google Scholar 

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

    Google Scholar 

  • Greene, E.: 2000, The Chronicle of Higher Education, Oct. Available at http://chronicle.com/free/v47/i06/06a01601.htm

  • Hannan, A.: 1988, 'Should maths be multicultural?', Mathematics in Schools, Jan. 28–30.

  • Helm, H.: 1980, 'Misconceptions in physics among South African students', Physics Education 15, 92–97.

    Google Scholar 

  • Hestenes, D.: 1992, 'Modeling games in the Newtonian world', American Journal of Physics 60(8), 732–748.

    Google Scholar 

  • Jagger, J.: 1985, 'Introducing mechanics: A response', Mathematics in Schools 14, 24–25.

    Google Scholar 

  • Jaworski, B.: 1994, Investigating Mathematics Teaching: A Constructivist Enquiry, Falmer, London.

    Google Scholar 

  • Joseph, G.G.: 1997, 'Foundations of Eurocentrism in mathematics' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 61–82.

    Google Scholar 

  • Katz, V.J.: 1994, 'Ethnomathematics in the classroom', For the Learning of Mathematics 14(2), 26–30.

    Google Scholar 

  • Kline, M.: 1972, Mathematics in Western Culture, Pelican, Harmondsworth.

    Google Scholar 

  • Lerman, S.: 1994, 'Critical / humanistic mathematics education: A role for history?' in M. Selinger (ed.), Teaching Mathematics, Open University / Routledge, London, pp. 97–102.

    Google Scholar 

  • Lumpkin, B.: 1997, 'Africa in the mainstream of mathematics history' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 101–118.

    Google Scholar 

  • Malloy, C.: 1997, 'Including African American students in the mathematics community' in J. Trentacosta and M.J. Kenney (eds.), Multicultural and Gender Equity in the Mathematics Classroom: The Gift of Diversity, National Council of Teachers of Mathematics Yearbook 1997.

  • Masingila, J.O., Davidenko, S. and Prus-Wisniowska, E.: 1996, 'Mathematics learning and practice in and out of school', Educational Studies in Mathematics 31, 175–200.

    Google Scholar 

  • Masingila, J.O. and King, K.J.: 1997, 'Using ethnomathematics as a classroom tool', in J. Trentacosta and M.J. Kenney (eds.), Multicultural and Gender Equity in the Mathematics Classroom: The Gift of Diversity, National Council of Teachers of Mathematics Yearbook 1997.

  • Matthews, M.R.: 1994, Science Teaching: The Role of History and Philosophy of Science, Routledge, New York.

    Google Scholar 

  • Moore, C. G.: 1994, 'Research in native American mathematics education', For the Learning of Mathematics 14(2), 9–14.

    Google Scholar 

  • NCTM.: 1997, 'Preface', in J. Trentacosta and M.J. Kenney (eds.), Multicultural and Gender Equity in the Mathematics Classroom: The Gift of Diversity, National Council of Teachers of Mathematics Yearbook 1997.

  • Peters, P.: 1982, 'Even honors students have conceptual difficulties with physics', American Journal in Physics 50, 501–508.

    Google Scholar 

  • Pinxten, R.: 1997, 'Applications in the teaching of mathematics and the sciences' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 373–402.

    Google Scholar 

  • Powell, A.B. and Frankenstein, M.: 1997a, 'Ethnomathematical praxis in the curriculum' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 249–260.

    Google Scholar 

  • Powell, A.B. and Frankenstein, M.: 1997b, 'Uncovering distorted and hidden history of mathematical knowledge' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 51–60.

    Google Scholar 

  • Rowlands, S.: 2000, 'Turning Vygotsky on his head: Vygotsky's “scientifically based method” and the socioculturist's “social other”', Science and Education 9(6), 537–575.

    Google Scholar 

  • Rowlands, S., Graham, E. and Berry, J.: 2001, 'An objectivist critique of relativism in mathematics education', Science and Education 10(3), 215–241.

    Google Scholar 

  • Swetz,: 1997, 'Perspectives', in J. Trentacosta and M.J. Kenney (eds.), Multicultural and Gender Equity in the Mathematics Classroom: The Gift of Diversity, National Council of Teachers of Mathematics Yearbook 1997.

  • Taylor, P.C.: 1996, 'Mythmaking and mythbreaking in the mathematics classroom', Educational Studies in Mathematics 31, 151–173.

    Google Scholar 

  • Thijs, G. and van den Berg, E.: 1995, 'Cultural factors in the origin and remediation of alternative conceptions in physics', Science and Education 4, 317–347.

    Google Scholar 

  • Toulmin, S.: 1967, The Philosophy of Science, (first published in 1953). Hutchinson University Library, London.

    Google Scholar 

  • Van der Veer, R. and Valsiner, J.: 1994, 'Introduction', in R. van der Veer and J. Valsiner (eds.), The Vygotsky Reader, Blackwell, Oxford, pp. 1–9.

    Google Scholar 

  • Vygotsky, L.: 1962, Thought and Language (first published, 1934, in Russian), Massachusetts Institute of Technology Press, Cambridge, Mass.

    Google Scholar 

  • Wertsch, J.: 1996, 'The role of abstract rationality in Vygotsky's image of mind' in A. Tryphon and J. Vonèche (eds.), Piaget – Vygotsky, The Social Genesis of Thought, Psychology Press, East Sussex, pp. 25–44.

    Google Scholar 

  • Yan, L. and Shíràn, D.: 1987, Chinese Mathematics: A Concise History, Oxford Science Publications, Clarendon Press, Oxford.

    Google Scholar 

  • Zaslavsky, C.: 1997, 'World cultures in the mathematics class' in A.B. Powell and M. Frankenstein (eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics Education, SUNY, Albany, pp. 307–320.

    Google Scholar 

  • Zeuli, J.: 1986, The Use of the Zone of Proximal Development in Everyday and School Contexts: A Vygotskian Critique, The Institute for Research on Teaching (Occasional paper no. 100), Michigan State University, Michigan.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020532926983

Navigation