Skip to main content

Anthropological Perspectives on Mathematics and Mathematics Education

  • Chapter

Part of the book series: Kluwer International Handbooks of Education ((SIHE,volume 4))

Abstract

Viewed from a European knowledge perspective, much of the writing about mathematics and mathematics education might be regarded as instances of several different genres: including, for example, mathematical, philosophical, historical, sociological, educational, psychological, and a diverse corpus of writings concerned with mathematics and culture. This present chapter is specifically concerned with summarising and critiquing the literature pertaining to anthropological perspectives on mathematics and mathematics education,

Numerous articles and books were written during the 1980’s and 1990’s on what has come to be known as the field of ‘ethnomathematics’. The first part of this chapter presents a framework for discussion of ethnomathematical concepts and issues from anthropological perspectives. The question of which activities, and investigations might profitably be classified as ‘anthropological’ is raised. In the second part of the chapter emphasis is placed on recurring themes, on problems, on recent developments, and on likely future directions for the study of mathematics education from anthropological perspectives.

The final part of the chapter offers an overview of anthropological writings on mathematics education which link with the growing body of literature calling for a radical rethinking of the educational task with respect to mathematics.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   789.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   999.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   999.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Google Scholar 

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

    Google Scholar 

  • Barton, B.: in press, ‘Making Sense of Ethnomathematics: Ethnomathematics is Making Sense’, to be published in Educational Studies in Mathematics.

    Google Scholar 

  • Barton, B.: 1996, Ethnomathematics: Exploring Cultural Diversity in Mathematics, Unpublished PhD Dissertation, The University of Auckland.

    Google Scholar 

  • Barton, B. and Fairhall, U.: 1995, ‘Is Mathematics A Trojan Horse? Mathematics and Maori Education’, Paper presented at the History and Pedagogy of Mathematics Conference, Cairns, July, 1995

    Google Scholar 

  • Berggren, J.L.: 1986, Episodes in the Mathematics of Medieval Islam, Springer-Verlag, Frankfurt.

    Google Scholar 

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

    Book  Google Scholar 

  • Bishop, A.J.: 1990, ‘Western Mathematics: The Secret Weapon of Cultural Imperialism’, Race & Class 32(2), 51–65

    Article  Google Scholar 

  • Bronowski, J.: 1973, The Ascent of Man, Science Horizons Inc., London.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Crowe, M.J.: 1975a, ‘Ten “Laws” Concerning Patterns of Change in the History of Mathematics’, Historia Mathematica 2, 161–166

    Article  Google Scholar 

  • Crowe, M.J.: 1975b, ‘Ten “Laws” Concerning Conceptual Change in Mathematics’, Historia Mathematica 2, 469–470

    Article  Google Scholar 

  • Crump, T.: 1989, The Anthropology of Number, Cambridge University Press, Cambridge, UK.

    Google Scholar 

  • D’Ambrosio, U.: 1984, ‘The Socio-cultural Bases for Mathematical Education’. In Proceedings of ICME-5, Adelaide.

    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. and Ascher, M.: 1994, ‘Ethnomathematics: A Dialogue’, For the Learning of Mathematics 14(2), 36–43.

    Google Scholar 

  • Fasheh, M.: 1991, ‘Mathematics in a Social Context: Math Within Education as Praxis Versus Math Within Education as Hegemony’. In M. Harris (ed.), Schools, Mathematics and Work, The Falmer Press, Basingstoke, UK.

    Google Scholar 

  • 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, 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.

    Article  Google Scholar 

  • Gerdes, P.: 1995, Ethnomathematics and Education in Africa, Institute of International Education, University of Stockholm.

    Google Scholar 

  • Gillies, D. (ed.): 1993, Revolutions in Mathematics, Clarendon Press, Oxford. UK.

    Google Scholar 

  • Hardy, G.H.: 1941, A Mathematician’s Apology, Cambridge University Press, Cambridge, UK.

    Google Scholar 

  • Harris, P.: 1991, Mathematics in a Cultural Context: Aboriginal Perspectives on Space, Time and Money, Deakin University, Geelong, Australia.

    Google Scholar 

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

    Google Scholar 

  • Joseph, G.G.: 1994, ‘Different Ways of Knowing: Contrasting Styles of Argument in Indian and Greek Mathematical Knowledge’, in P. Ernest (ed.), Mathematics, Education and Philosophy: An International Perspective, The Falmer Press, London.

    Google Scholar 

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

    Google Scholar 

  • Laborde, C: 1990, ‘Language and Mathematics’, in P. Nesher and J. Kilpatrick (eds.) Mathematics and Cognition, ICMI Study Series, Cambridge University Press, Cambridge, UK.

    Google Scholar 

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

    Book  Google Scholar 

  • Lean, G.A.: 1992, Counting Systems of Papua New Guinea and Oceania, Unpublished PhD Thesis, Papua New Guinea University of Technology, Lae.

    Google Scholar 

  • Lerman, S.: 1994, ‘Changing Focus in the Mathematics Classroom’, in S. Lerman (ed.), Cultural Perspectives on the Mathematics Classroom, Mathematics Education Library, Vol. 14, Kluwer Academic Publishers, Dordrecht, 191–213.

    Chapter  Google Scholar 

  • Nesher, P. and Kilpatrick, J. (eds.): 1990, Mathematics and Cognition: A Research Synthesis by the International Group for the Psychology of Mathematics Education, ICME Study Series, Cambridge University Press, Cambridge, UK.

    Google Scholar 

  • Nunes, T.: 1992, ‘Ethnomathematics and Everyday Cognition’, in D.A. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, MacMillan, New York, 557–574.

    Google Scholar 

  • Pinxten, R.: 1994, ‘Anthropology in the Mathematics Classroom?’, in S. Lerman (ed.), Cultural Perspectives on the Mathematics Classroom, Mathematics Education Library, Vol. 14, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

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

    Google Scholar 

  • Restivo, S.: 1983, The Social Relations of Physics, Mysticism, and Mathematics, D. Reidel, Dordrecht.

    Book  Google Scholar 

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

    Book  Google Scholar 

  • Restivo, S., Van Bendegem, 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, New York.

    Google Scholar 

  • Saxe, G. B.: 1991, Culture and Cognitive Development: Studies in Mathematical Understanding, Lawrence Erlbaum Press, Hillsdale, NJ.

    Google Scholar 

  • Schaaf, W. L. (ed.): 1948, Mathematics Our Great Heritage: Essays on the Nature and Cultural Significance of Mathematics, Harper, New York.

    Google Scholar 

  • Spengler, O.: 1926, The Decline of the West: Form and Actuality (trans. C. F. Atkinson), London

    Google Scholar 

  • Spengler, O.: 1956, ‘Meaning of Numbers’, in J.R. Newman (ed.) The World of Mathematics, vol. IV, George Allen & Unwin Ltd., London, 2315–2347

    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 

  • Stenhouse, L.: 1967, Culture and Education, Weybright and Talley, New York.

    Google Scholar 

  • Stigler, J. W. and Baranes, R.: 1988, ‘Culture and Mathematics Learning’ in E.Z. Rothkopf (ed.), Review of Research in Education 15,1988–89, American Education Research Association, Washington, DC, 253–306

    Google Scholar 

  • Struik, D. J.: 1948, A Concise History of Mathematics (2 vols.). New York: Dover Publications

    Google Scholar 

  • White, A.M. (ed.): 1993, Essays in Humanistic Mathematics, Mathematical Association of America, Washington DC.

    Google Scholar 

  • White, L.A.: 1949, The Science of Culture, Grove Press Inc., New York.

    Google Scholar 

  • White, L.A.: 1956, ‘The Locus of Mathematical Reality: An Anthropological Footnote’, in J.R. Newman (ed.), The World of Mathematics vol. IV, George Allen & Un win Ltd., London, 2348–2364.

    Google Scholar 

  • Wilder, R.L.: 1950, ‘The Cultural Basis of Mathematics’, in Proceedings of the International Congress of Mathematicians, Vol. 1, Cambridge, MA, 258–271

    Google Scholar 

  • Wilder, R. L.: 1981, Mathematics as a Cultural System, Pergamon, Oxford, UK.

    Google Scholar 

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

    Google Scholar 

  • Zaslavsky, C: 1993, Multicultural Mathematics: Interdisciplinary Cooperative Learning Activities, J. Weston Walch, Portland.

    Google Scholar 

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

    Google Scholar 

  • Zepp, R.: 1989, Language and Mathematics Education, API Press, Hong Kong.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Kluwer Academic Publishers

About this chapter

Cite this chapter

Barton, B. (1996). Anthropological Perspectives on Mathematics and Mathematics Education. In: Bishop, A.J., Clements, K., Keitel, C., Kilpatrick, J., Laborde, C. (eds) International Handbook of Mathematics Education. Kluwer International Handbooks of Education, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1465-0_28

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-1465-0_28

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7155-0

  • Online ISBN: 978-94-009-1465-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics