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Educational Studies in Mathematics

, Volume 19, Issue 2, pp 137–162 | Cite as

On culture, geometrical thinking and mathematics education

  • Paulus Gerdes
Article

Abstract

This article confronts a widespread prejudice about mathematical knowledge, that mathematics is ‘culture-free’, by demonstrating alternative constructions of euclidean geometrical ideas developed from the traditional culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of ‘cultural conscientialization’ in the context of teacher training.

Keywords

Mathematics Education Teacher Training Mathematical Knowledge Traditional Culture Geometrical Idea 
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. D'Ambrosio, U.: 1983, ‘Successes and failures of mathematics curricula in the past two decades: A developing society viewpoint in a holistic framework’, inProceedings of the Fourth International Congress of Mathematical Education, Boston, pp. 362–364.Google Scholar
  2. D'Ambrosio, U.: 1984, ‘The intercultural transmission of mathematical knowledge: Effects on mathematical education’, UNICAMP, Campinas.Google Scholar
  3. D'Ambrosio, U.: 1985a, ‘Ethnomathematics and its place in the history and pedagogy of mathematics’, inFor the learning of Mathematics, Montreal, Vol. p. 5, no. 1, pp. 44–48.Google Scholar
  4. D'Ambrosio, U.: 1985b,Socio-cultural Bases for Mathematics Education, UNICAMP, Campinas.Google Scholar
  5. Ascher, M. and R. Ascher: 1981,Code of the Quipu. A Study in Media, Mathematics, and Culture, University of Michigan Press, Ann Arbor.Google Scholar
  6. Broomes, D. and P. Kuperes: 1983, ‘Problems of defining the mathematics curriculum in rural communities’, inProceedings of the Fourth International Congress of Mathematical Education, Boston, pp. 708–711.Google Scholar
  7. Carraher, T., D. Carraher, and A. Schliemann: 1982, ‘Na vida, dez, na escola, zero: os contextos culturais da aprendizagem de matemática’, inCadernos de pesquisa, São Paulo, Vol. 42, pp. 79–86.Google Scholar
  8. El Tom, M.: 1984, ‘The role of Third World University Mathematics Institutions in promoting mathematics’, Adelaide.Google Scholar
  9. Eshiwani, G.: 1979, ‘The goals of mathematics teaching in Africa: A need for re-examination’, inProspects, Paris, Vol. IX, no. 3, pp. 346–352.Google Scholar
  10. Gay, J. and M. Cole: 1967,The New Mathematics and An Old Culture: A Study of Learning Among the Kpelle of Liberia, Holt, Rinehart and Winston, New York.Google Scholar
  11. Gerdes, P.: 1982, ‘Mathematics for the benefit of the people’, CARIMATHS, Parmaribo.Google Scholar
  12. Gerdes, P.: 1985a, ‘Conditions and strategies for emancipatory mathematics education in under-developed countries’, inFor the Learning of Mathematics, Montreal, Vol. 5, no. 1, pp. 15–20.Google Scholar
  13. Gerdes, P.: 1985b,Zum erwachenden geometrischen Denken, Eduardo Mondlane University, Maputo.Google Scholar
  14. Gerdes, P.: 1985c, ‘Three alternate methods of obtaining the ancient Egyptian formula for the area of a circle’, inHistoria Mathematica, New York, Vol. 12, pp. 261–268.Google Scholar
  15. Gerdes, P.: 1986a, ‘On culture, mathematics and curriculum development in Mozambique’, in Mellin-Olsen and Johnsen Høines, pp. 15–42.Google Scholar
  16. Gerdes, P.: 1986b, ‘Um método geral para construir polígonos regulares, inspirado numa técnica moçambicana de entrelaçamento’, TLANU-booklet, Maputo, no. 4.Google Scholar
  17. Gerdes, P.: 1986c, ‘A widespread decorative motif and the Pythagorean theorem’,For the Learning of Mathematics, Montreal (in press).Google Scholar
  18. Gerdes, P.: 1986d, ‘Hypothesen zur Entdeckung des altmesopotamischen Näherungswertes pi=31/8‘, TLANU-preprint, Maputo, no. 1986-4.Google Scholar
  19. Gerdes, P.: 1986e, ‘Did ancient Egyptian artisans know how to find a square equal in area to two given squares?’, TLANU-preprint, Maputo, no. 1986-5Google Scholar
  20. Gerdes, P.: 1986f, ‘How to recognize hidden geometrical thinking? A contribution to the development of anthropological mathematics’, inFor the Learning of Mathematics, Montreal, Vol. 6, no. 2, pp. 10–12, 17.Google Scholar
  21. Gerdes, P. and H. Meyer: 1986g, ‘Pythagoras, einmal anders’,Alpha, Berlin (in press).Google Scholar
  22. Luna, E.: 1983, ‘Análisis curricular y contexto sociocultural’, Santiago.Google Scholar
  23. Machel, S. 1970, ‘Educate man to win the war, create a new society and develop our country’, inMozambique, Sowing the Seeds of Revolution, Zimbabwe Publishing House, Harare, 1981. pp. 33–41.Google Scholar
  24. Machel, S.: 1978, ‘Knowledge and science should be for the total liberation of man’, inRace and Class, Vol. XIX, no. 4, pp. 399–404.Google Scholar
  25. Mellin-Olsen, S. and M. J. Høines: 1986,Mathematics and Culture. A Seminar Report, Caspar Forlag, Rådal.Google Scholar
  26. Mmari, G. 1978, ‘The United Republic of Tanzania: Mathematics for social transformation’, in F. Swetz (ed.),Socialist Mathematics Education, Burgundy Press, Southampton.Google Scholar
  27. Nebres, B. 1983, ‘Problems of mathematical education in and for changing societies: problems in Southeast Asian countries’, Tokyo.Google Scholar
  28. Nebres, B.: 1984, ‘The problem of universal mathematics education in developing countries’, Adelaide.Google Scholar
  29. Pinxten, P. I. van Dooren and F. Harvey: 1983,The Anthropology of Space. Explorations into the Natural Philosophy and Semantics of the Navajo, University of Pennsylvania Press, Philadelphia.Google Scholar

Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • Paulus Gerdes
    • 1
  1. 1.Faculty of MathematicsEduardo Mondlane UniversityMaputoMozambique

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