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Mathematics by All

Chapter
Part of the Mathematics Education Library book series (MELI, volume 14)

Abstract

The argument in this chapter is that mathematics, even before its professionalisation, has always been the domain of the select few. Attempts have been made, in recent times, to challenge the Eurocentric bias in mathematics and this has led to a greater appreciation of the mathematical contributions of different cultures. While there is an ackowledgement that mathematics is a pan-human activity, there is no evidence either in the history of mathematics or in mathematical practice today, to support the belief that, within a particular cultural context, mathematics was widely practised by the majority. The social arrangements of early civilisations were such that only the rich, the powerful, the influential, had access to mathematical knowledge. At times there was almost a conspiracy to keep the codified mathematical knowledge as secret as possible. Since there was no mass schooling until about a century ago, this kind of knowledge was only passed down within a certain ‘brotherhood’. The fact that state schools have now become a given in most societies offers us the unique opportunity to make mathematics accessible to all. Yet, in spite of a century of mathematics instruction, most people still feel alienated from the subject. In this chapter I argue that we need specific strategies to address this in order to encourage those who have been traditionally under-represented to participate in the production and use of mathematical knowledge. In particular, there should be a shift from seeing mathematics as involving the “interpretation of symbolic information” to an emphasis on situating it in the realm of everyday experiences of people.

Keywords

Mathematical Knowledge School Mathematics Mathematical Idea Affective Commitment Algebraic Thinking 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bell, E.T.: 1945, The Development of Mathematics New York, McGraw-Hill.Google Scholar
  2. Bishop, A. J.: 1988, Mathematical Enculturation: A Cultural Perspective on Mathematics Education Boston: Kluwer Academic Publishers.Google Scholar
  3. Boyer, C.B.: 1968, A History of Mathematics New York, John Wiley Sons.Google Scholar
  4. Confrey, J.: 1987, The Constructivist Cycle Unpublished paper.Google Scholar
  5. Confrey, J.: 1988, Personal communication.Google Scholar
  6. Eves, H.: 1963, A Survey of Geometry Volume 1. Boston: Allyn Bacon, Inc.Google Scholar
  7. Eves, H.: 1969, The History of Geometry. In Historical Topics for the Mathematics Classroom Thirty-first Yearbook of the National Council of Teachers of Mathematics. Washington, D.C.Google Scholar
  8. Gattegno, C.: 1965, Mathematics and Imagery Mathematics Teaching, 33, 22.Google Scholar
  9. Hogben, L.: 1968, Mathematics for the Million London, Merlin Press.Google Scholar
  10. Kline, M.: 1972, Mathematical Thought from Ancient to Modern Times New York:Oxford University Press.Google Scholar
  11. Lakatos, I.: 1978, Mathematics, Science and Epistemology: Philosophical Papers Vol. 2. J. Worrall and G. Currie (Eds.) Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  12. Long, R.L.: 1986, Remarks on the History and Philosophy of Mathematics American Mathematics Monthly 93, 609–619.CrossRefGoogle Scholar
  13. Meserve, B.E.: 1973, Geometry as a Gateway to Mathematics In A.G. Howson (Ed.). Developments in Mathematical Education Cambridge:Cambridge University Press.Google Scholar
  14. Seely-Brown, J., Collins, A. and Duguid, P.: 1989, Situated Cognition and the Culture of Learning Educational Researcher„18(1), 32–42.Google Scholar
  15. Seidenberg, A.: 1960, The Ritual Origin of Geometry Archive for the History of Exact Science, 1, 488–527.CrossRefGoogle Scholar
  16. Steen, L. A.: 1988, Celebrating Mathematics American Mathematics Monthly 95, 414–427.CrossRefGoogle Scholar
  17. Steen, L. A. (Ed.): 1990, On the Shoulders of Giants: New Approaches to Numeracy Washington, D.C.: National Academy Press.Google Scholar
  18. Wilder, R.L.: 1968, Evolution of Mathematical Concepts New York: Wiley.Google Scholar
  19. Zaslaysky, C.: 1973, Africa Counts Westport, Connecticut: Lawrence Hill Company.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  1. 1.Centre for the Advancement of Science and Mathematics EducationCongellaSouth Africa

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