Abstract
This paper presents the results of a series of analyses of educational situations involving cultural issues. Of particular significance are the ideas that all cultural groups generate mathematical ideas, and that ‘Western’ mathematics may be only one mathematics among many. The values associated with Western mathematics are also discussed, and various issues raised by these analyses are then presented.
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References
d'Ambrosio, U.: 1985, ‘Ethnomathematics and its place in the history and pedagogy of mathematics’,For the Learning of Mathematics 5(1), 44–48.
Ascher, M. and R. Ascher: 1981,Code of the Quipu, University of Michigan Press, Chicago.
Bishop, A. J.: 1979, Visualising and mathematics in a pre-technological culture’,Educational Studies in Mathematics 10(1), 135–146.
Bishop, A. J.: 1986, ‘Mathematics education as cultural induction’,Nieuwe Wiskrant, October, 27–32.
Bishop, A. J.: 1988,Mathematical Enculturation: A Cultural Perspective on Mathematics Education, Reidel, Dordrecht.
Bourgoin, J.: 1973,Arabic Geometrical Pattern and Design, Dover, New York.
Bruner, J. S.: 1964, ‘The course of cognitive growth’,American Psychologist 19, 1–15.
Closs, M. P. (ed.): 1986,Native American Mathematics, University of Texas Press, Austin, Texas.
Ellul, J.: 1980,The Technological System, Continuum Publishing, New York.
Faegre, T.: 1979,Tents: Architecture of the Nomads, John Murray, London.
Falkener, E.: 1961,Games Ancient and Oriental — How to Play Them, Dover, New York.
Fasheh, M.: 1982, ‘Mathematics, culture and authority’,For the Learning of Mathematics 3(2), 2–8.
Gardner, P. L.: 1977,Logical Connectives in Science, Monash University, Faculty of Education, Melbourne, Australia.
Gay, J. and M. Cole: 1967,The New Mathematics in an Old Culture, Holt, Rinehart and Winston, New York.
Gerdes, P.: 1986, ‘Conditions and strategies for emancipatory mathematics education in underdeveloped countries’,For the Learning of Mathematics 5(1), 15–20.
Gerdes, P.: 1986, ‘How to recognise hidden geometrical thinking: A contribution to the development of anthropological mathematics’,For the Learning of Mathematics 6(2), 10–17.
Harris, P.: 1980,Measurement in Tribal Aboriginal Communities, Northern Territory Department of Education, Australia.
Horton, R.: 1971, ‘African traditional thought and Western Science’,Africa, Vol. XXXVII, also in M. F. D. Young (ed.),Knowledge and Control, pp.208–266, Collier-MacMillan, London.
Huizinga, J.: 1949,Homo Ludens, Routledge and Kegal Paul, London.
Jayne, C. F.: 1974,String Figures and How to Make Them, Dover, New York, (first published as ‘String Figures’ by Scribner in 1906).
Jones, J.: 1974,Cognitive Studies with Students in Papua New Guinea (Working Paper, No. 10), University of Papua New Guinea, Education Research Unit.
Kline, M.: 1962,Mathematics: A Cultural Approach, Addison Wesley, Mass.
Kothari, D. S.: 1978, Keynote address inProceedings of Asian Regional Seminar of the Commonwealth Association of Science and Mathematics Educators (New Delhi), British Council, London.
Lancy, D. F.: 1983,Cross-cultural Studies in Cognition and Mathematics, Academic Press, New York.
Leach, E.: 1973, ‘Some anthropological observations on number, time and common-sense’, in A. G. Howson (ed.),Developments in Mathematical Education, Cambridge University Press.
Lean, G. A.: 1986,Counting Systems of Papua New Guinea, Reseach Bibliography, 3rd edn., Department of Mathematics, Papua New Guinea University of Technology, Lae, Papua New Guinea.
Lewis, D.: 1972,We the Navigators, University Press of Hawaii, Hawaii.
Lewis, D.: 1976, ‘Observations on route-finding and spatial orientation among the Aboriginal peoples of the Western desert region of central Australia’,Oceania XLVI(4), 249–282.
Menninger, K.: 1969,Number Words and Number Symbols—A Cultural History of Numbers, MIT Press, Cambridge, Mass.
Oswalt, W. H.: 1976,An Anthropological Analysis of Food-getting Technology, Wiley, New York.
Pinxten, R., I. van Dooren and F. Harvey: 1983,The Anthropology of Space, University of Pennsylvania Press, Philadelphia.
Ronan, C. A.: 1981,The Shorter Science and Civilisation in China: Vol. 2, Cambridge University Press.
Ronan, C. A.: 1983,The Cambridge Illustrated History of the World's Science, Cambridge University Press.
Roth, W. E.: 1902, ‘Games, sports and amusement’,North Queensland Ethnographic Bulletin 4, 7–24.
van Sertima, I.: 1986,Black in Science, Transaction Books, New Brunswick.
Skovsmose, O.: 1985, ‘Mathematical education versus critical education’,Educational Studies in Mathematics 16(4), 337–354.
Taft, R.: 1977, ‘Co** with unfamiliar cultures’, in N. Warren (ed.),Studies in Cross-Cultural Psychology, Vol. 1, Academic Press, London.
Temple, R. K. G.: 1986,China, Land of Discovery and Invention, Stephens, Wellingborough, U.K.
Vygotsky, L. S.: 1978,Mind in Society, MIT Press, Cambridge, Mass.
White, L. A.: 1959,The Evolution of Culture, McGraw-Hill, New York.
Wilder, R. L.: 1981,Mathematics as a Cultural System, Pergamon Press, Oxford.
Zaslavsky, C.: 1973,Africa Counts, Prindle, Weber and Schmidt, Inc., Boston, Mass.
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Bishop, A.J. Mathematics education in its cultural context. Educ Stud Math 19, 179–191 (1988). https://doi.org/10.1007/BF00751231
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DOI: https://doi.org/10.1007/BF00751231