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Mathematical Thinking and Geometric Exploration in Africa and Elsewhere

Published online by Cambridge University Press:  28 February 2024

Paulus Gerdes
Paulus Gerdes*
Affiliation:
Ethnomathematics Research Centre, Maputo, Mozambique
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Extract

The editors asked me to contribute to the Benin symposium on the ‘Encounter Between Rationalities’ from the particular perspective of my research experience in ethnomathematics - the study of mathematical ideas and practices as embedded in their cultural contexts.

Type
Research Article
Information
Diogenes , Volume 51 , Issue 2 , May 2004 , pp. 107 - 122
Copyright
Copyright © ICPHS 2004

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References

Ascher, Marcia (1991) Ethnomathematics: A Multicultural View of Mathematical Ideas. Pacific Grove, CA: Brooks Cole.Google Scholar
Ascher, Marcia and Ascher, Robert (1981) Code of the Quipu: A Study in Media, Mathematics, and Culture. Ann Arbor: University of Michigan Press.Google Scholar
Bazin, Maurice (2001) Ensinar matemàtica e ciência indígena ou como aprendi do povo tuyuka (manuscript).Google Scholar
Bishop, Alan (1988), Mathematical Enculturation: A Cultural Perspective on Mathematics Education. Dordrecht: Kluwer.CrossRefGoogle Scholar
Carraher, T., Carraher, D. and Schliemann, A. (1987) ‘Written and Oral Mathematics’, Journal of Research in Mathematics Education 8: 83–97.CrossRefGoogle Scholar
D’Ambrosio, Ubiratan (1985) ‘Ethnomathematics and Its Place in the History and Pedagogy of Mathematics’, For the Learning of Mathematics (Montreal) 5(1): 44–48.Google Scholar
D’Ambrosio, Ubiratan (1990) Etnomatemática: arte ou técnica de explicar e conhecer. São Paulo: Editora ¡tica.Google Scholar
Eglash, Ron (1999) African Fractals: Modern Computing and Indigenous Design. Piscataway, NJ: Rutgers University Press.Google Scholar
Gay, John and Cole, Michael (1967) The New Mathematics and an Old Culture, A Study of Learning among the Kpelle of Liberia. New York: Holt, Rinehart & Winston.Google Scholar
Gerdes, Paulus (1990a) Ethnogeometrie. Kulturanthropologische Beiträge zur Genese und Didaktik der Geometrie. Bad Salzdetfurth: Verlag Franzbecker (2nd edn 2002).Google Scholar
Gerdes, Paulus (1990b) Vivendo a matematica: desenhos da África. São Paulo: Editora Scipione.Google Scholar
Gerdes, Paulus (1992a) Sobre o despertar do pensamento geométrico. Curitiba: Universidade Federal de Paraná (2nd edn 2003).Google Scholar
Gerdes, Paulus (1992b) Etnomatemática: Cultura, Matemática, Educacao. Maputo: Instituto Superior Pedagógico.Google Scholar
Gerdes, Paulus (1993) L’ethnomathématique comme nouveau domaine de recherche en Afrique: quelques réflexions et experiences du Mozambique. Maputo: Instituto Superior Pedagógico.Google Scholar
Gerdes, Paulus (1993/4) Geometria Sona: Reflexões sobre uma tradição de desenho em povos da África ao Sul do Equador. Maputo: Instituto Superior Pedagógico (3 vols).Google Scholar
Gerdes, Paulus (1995a) Ethnomathematics and Education in Africa. Stockholm: University of Stockholm Institute of International Education.Google Scholar
Gerdes, Paulus (1995b) Une tradition géométrique en Afrique. Les dessins sur le sable. Paris: L’Harmattan (3 vols: Analyse et reconstruction, Exploration éducative et mathématique, Analyse comparative).Google Scholar
Gerdes, Paulus (1996) Femmes et géométrie en Afrique Australe. Paris: L’Harmattan.Google Scholar
Gerdes, Paulus (1997a) Ethnomathematik dargestellt am Beispiel der Sona Geometrie. Heidelberg: Spektrum Verlag.Google Scholar
Gerdes, Paulus (1997b) Recréations géométriques d’Afrique – Lusona – Geometrical Recreations of Africa. Paris: L’Harmattan.Google Scholar
Gerdes, Paulus (1998a) Women, Art and Geometry in Southern Africa. Lawrenceville, NJ: Africa World Press.Google Scholar
Gerdes, Paulus (1998b) ‘Culture and Mathematics Teacher Education’, Journal of Mathematics Teacher Education 1(1): 33–53.CrossRefGoogle Scholar
Gerdes, Paulus (1999) Geometry from Africa: Mathematical and Educational Explorations. Washington DC: The Mathematical Association of America.CrossRefGoogle Scholar
Gerdes, Paulus (2000) Le cercle et le carré: Créativité géométrique, artistique, et symbolique de vannières et vanniers d’Afrique, d’Amérique, d’Asie et d’Océanie. Paris: L’Harmattan.Google Scholar
Gerdes, Paulus (2002a) Lusona: recreações geométricas de África. Maputo: Moçambique Editora; Lisboa: Texto Editora.Google Scholar
Gerdes, Paulus (2002b) ‘From Liki-designs to Cycle Matrices’, Visual Mathematics 4(1) (http://members.tripod.com/vismath7/gerd/).Google Scholar
Gerdes, Paulus (2002c) ‘Helix Matrices’, Visual Mathematics 4(2) (http://members.tripod.com/vismath8/gerdhel/hel.htm).Google Scholar
Gerdes, Paulus (2002d) ‘Cylinder Matrices’, Visual Mathematics 4(2) (http://members.tripod.com/vismath8/gerdcyl/cyl1.htm).Google Scholar
Gerdes, Paulus (2002e) ‘A Note on Chessboard Matrices’, Visual Mathematics 4(3) (http://members.tripod.com/vismath8/gerdches/index.html).Google Scholar
Gerdes, Paulus (2003a) Sipatsi: Cestaria e Geometria na Cultura Tonga de Inhambane. Maputo: Moçambique Editora (in press).Google Scholar
Gerdes, Paulus (2003b) ‘Plaited Strip Patterns on Tonga Handbags in Inhambane (Mozambique) – An Update’, Visual Mathematics, Belgrade (in press).Google Scholar
Gerdes, Paulus (2003c) ‘Exploring Plaited Plane Patterns among the Tonga in Inhambane (Mozambique)’, Symmetry: Culture and Science (in press).Google Scholar
Gerdes, Paulus (2003d) Awakening of Geometrical Thought in Early Culture, Foreword by Dirk Struik. Minneapolis, MN: MEP Press.Google Scholar
Gerdes, Paulus (2003e) ‘Níjtyubane – Sobre alguns aspectos geométricos da cestaria Bora na Amazónia peruana’, Revista Brasileira de História da Matemática, Rio Claro (in press).Google Scholar
Gerdes, Paulus and Bulafo, Gildo (1994) Sipatsi: Technology, Art and Geometry in Inhambane. Maputo: Universidade Pedagógica.Google Scholar
Hountondji, Paulin, ed. (1994) Les savoirs endogènes: pistes pour une recherche. Dakar: CODESRIA.Google Scholar
Kane, Abdoulaye (1987) Les systèmes de numération parlée des groupes ouest-atlantiques et Mande. Contribution à la recherche sur les fondaments et l’histoire de la pensée logique et mathématique en Afrique de l’Ouest, Lille (unpublished doctoral thesis).Google Scholar
Ki-Zerbo, Joseph (1990) Educate or Perish: Africa’s Impasse and Prospects. Dakar: UNESCO-UNICEF.Google Scholar
Kubik, Gerhard (1988) Tusona-Luchazi Ideographs: A Graphic Tradition as Practised by a People of West-Central Africa. Fohrenau: Verlag Stiglmayr.Google Scholar
Lancy, David, ed. (1978) ‘The Indigenous Mathematics Project’, Papua New Guinea Journal of Education 14: 1–217.Google Scholar
Luquet, G. (1929) ‘Sur l’origine des notions mathématiques: remarques psychologiques et ethnographiques’, Journal de psychologie: 733–761.Google Scholar
Njock, George (1985) Mathématiques et environnement socio-culturel en Afrique Noire, Présence Africaine 135: 3–21.CrossRefGoogle Scholar
Posner, J. (1982) ‘The Development of Mathematical Knowledge in Two West African Societies’, Child Development 53: 200–208.CrossRefGoogle Scholar
Powell, Arthur B. and Frankenstein, Marilyn, eds (1997) Ethnomathematics: Challenging Eurocentrism in Mathematics Education. New York: State University of New York Press.Google Scholar
Santos, Eduardo (1960) ‘Sobre a matemática dos Ouiocos de Angola’, Garcia da Orta 3(2): 257–271.Google Scholar
Santos, Eduardo (1961) ‘Contribuição para o estudo das pictografias e ideogramas dos Quiocos’, Estudos sobre a etnologia do ultramar português 2: 17–131.Google Scholar
Zaslavsky, Claudia (1973) Africa Counts: Number and Pattern in African Culture. Boston, MA: Prindle, Weber and Schmidt [paperback edition Brooklyn, NY: Lawrence Hill Books, 1999].Google Scholar
Zaslavsky, Claudia (1994) ‘Mathematics in Africa: Explicit and Implicit’, in Grattan-Guinness, I. (ed.), Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, pp. 85–92. London: Routledge.Google Scholar