Respecting mathematical diversity: an ethnomathematical perspective
Tipo de documento
Autores
Lista de autores
Powell, Arthur B.
Resumen
This paper presents a detailed example from the practice that encourages respect for a diversity of ways of knowing and for a diversity of knowledge. This approach represents an ethnomathematical pedagogy, and develops a theoretical discussion of an ethnomathematical perspective. Then this paper concludes with theoretical return to our original point about respecting mathematical diversity. It happens because not only must teachers respect their own and their students’ knowledge, but students often need to learn to respect their own and others mathematical activities and products. There are many different ways, using the mathematical activities of peoples all over the world to enable students to develop this respect. The basic idea behind all of them is that peoples’ cultural material context infl uences their knowledge and activities in the world. In particular, students learn the importance of respecting their own and other peoples’ knowledge, and how all of our cultural backgrounds interact with the development of mathematical knowledge. Further, the examples show a variety of forms in which mathematical knowledge can be encoded differently from that in ‘academic’ textbooks.
Fecha
2009
Tipo de fecha
Estado publicación
Términos clave
Etnomatemática | Libros de texto | Otro (afectividad) | Otro (investigación)
Enfoque
Nivel educativo
Idioma
Revisado por pares
Formato del archivo
Volumen
11
Número
2
Rango páginas (artículo)
39-52
ISSN
21787727
Referencias
BOYER, C. B.; MERZBACH, U. C. A history of mathematics. New York: John Wiley & Sons, 1989. BROWN, S. I. Thinking like a mathematician: A problematic perspective. For the Learning of Mathematics, v.17, n.2, p.36-38, 1997. CHACE, A. B.; MANNING, H. P.; ARCHIBALD, R. C. The Rhind mathematical papyrus British Museum 10057 and 10058 (v. I). Oberlin, Ohio: Mathematical Association of America, 1927. CHACE, A. B.; MANNING, H. P.; ARCHIBALD, R. C. The Rhind mathematical papyrus British Museum 10057 and 10058 (v. II). Oberlin, Ohio: Mathematical Association of America, 1929. D’AMBROSIO, U. Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, v.5, n.1, p.44-48, 1985. D’AMBROSIO, U. Refl ections on ethnomathematics. International Study Group on Ethnomathematics Newsletter, v.3, n.1, p.3-5, 1987. D’AMBROSIO, U. Ethnomathematics: A research program in the history of ideas and in cognition. International Study Group on Ethnomathematics Newsletter, v. 4, n.1, p.5-8, 1988. D’AMBROSIO, U. Etnomatemática: arte ou técnica de explicar e conhecer. Sao Paulo: Editora Atica, 1990. D’AMBROSIO, U. Where does ethnomathematics stand nowadays? For the Learning of Mathematics, v. 17, n.2, p.13-17, 1997. D’AMBROSIO, U. Etnomatemática: Elo entre as tradições e a modernidade. Belo Horizonte, MG: Autêntica, 2001. D’AMBROSIO, U. O Programa Etnomatemática: uma síntese. Acta Scientiae. Canoas: Universidade Luterana do Brasil, v.10, n.1, 2008. DIOP, C. A. The African origin of civilization: Myth or reality (M. Cook, Trans.). Chicago: Lawrence Hill, 1974. DIOP, C. A. Africa’s contribution to world civilization: The exact sciences. In SERTIMA, I. V. (Ed.) Nile Valley Civilizations Atlanta, Georgia: Journal of African Civilizations, 1985. p.69-83. EGLASH, R. African fractals: Modern computing and indigenous design. New Brunswick, NJ: Rutgers University, 1999. FREIRE, P.; MACEDO, D. Literacy: Reading the word and the world. South Hadley, MA: Bergen and Garvey, 1987. GALTON, F. Memories of my life. London: Methuen, 1909. GATTEGNO, C. The science of education: Part 1: Theoretical considerations. New York: Educational Solutions, 1987. GERDES, P. Desenhos tradicionais na areia em Angola e seus possíveis usos na aula de matemática. Boletim de Educação Matemática. Especial 1, p.51-77, 1989. GERDES, P. Sobre o despertar do pensamento geométrico. Curitiba: Universidade Federal de Paraná, 1992. GERDES, P. Geometry from Africa: Mathematical and educational explorations. Washington, DC: The Mathematical Association of America, 1999. GERDES, P. Os manuscritos fi losófi co-matemáticos de Karl Marx sobre o cálculo diferencial: Uma introdução. Morrisville, NC: Lulu.com, 2008. GILLINGS, R. J. Mathematics in the time of the pharaohs. Mineola, New York: Dover, 1972. GILLINGS, R. J. Mathematics in the time of the pharaohs. Mineola, New York: Dover, 1982. HOFFMAN, M. R.; POWELL, A. B. A multivalent tool for computation. Mathematics in College (Fall/Winter), p.43-51, 1988. HOFFMAN, M. R.; POWELL, A. B. Circle expressions and equations: Multivalent pedagogical tools. In: PIMM, D.; LOVE, E. (Ed.), Teaching and learning school mathematics. London: Hadder & Stoughton, 1991. p.91-96. JACKSON, J. G. Introduction to African civilizations. New York: Citadel, 1970. JOSEPH, G. G. The crest of the peacock: Non-European roots of mathematics. London: I. B. Tauris, 1991. KATZ, V. J. A history of mathematics: An introduction. Reading, MA: Addison-Wesley, 1998. LUMPKIN, B. Mathematics and engineering in the Nile Valley. In: SERTIMA, I. V. (Ed.), Nile Valley Civilizations. Atlanta, Georgia: Journal of African Civilizations, 1985. p.102-119. LUMPKIN, B. Mathematics used in Egyptian construction and bookkeeping. The Mathematical Intelligencer, v. 24, n.2, p.20-25, 2002. LUMPKIN, B.; POWELL, A. B. Math: A rich Heritage. Upper Saddle, NJ: Globe Fearon, 1995. MARCUSE, H. One-dimensional Man: Studies in the ideology of advanced industrial society. Boston: Beacon, 1964. MARX, K. Mathematical manuscripts. London: New Park, 1983. MOSES, R. P.; COBB, C. E.Radical equations: Math literacy and civil rights. Boston: Beacon, 2001. PINXTEN, R.; VAN DOREN, I.; HARVEY, F. The anthropology of space. Philadelphia: University of Pennsylvania, 1983. POWELL, A. B. Pedagogy as ideology: Using Gattegno to explore functions with graphing calculator and transactional writing. In: JULIE, C.; ANGELIS, D.; DAVIS, Z. (Ed.), Proceeding of the second international conference on the political dimensions of mathematics education. Cape Town: Maskew Miller Longman, 1993. p.356-369. POWELL, A. B.; FRANKENSTEIN, M. Ethnomathematics: Challenging eurocentrism in mathematics education. Albany: State University of New York, 1997. POWELL, A. B.; TEMPLE, O. L. Construindo pontes entre passado e presente: Etnomatemática, O Papiro Matemático de Ahmose e etudantes urbanos. In: RIBEIRO, J. P. M.; DOMITE, M. D. C.; FERREIRA, R. (Ed.), Etnomatemática: papel, valor e signifi cado. São Paulo: Zouk, 2004. p.1-33. ROBINS, G.; SHUTE, C. The Rhind mathematical papyrus: An ancient Egyptian text. New York: Dover, 1987. SHULMAN, B. The betrayal of work: How low-wage jobs fail 30 million Americans. New York: The New Press, 2003. STRUIK, D. J. Marx and mathematics. Science and Society, v.12, n.1, p.181-196, 1948. STRUIK, D. J. Marx and mathematics. In: POWELL, A. B.; FRANKENSTEIN, M. (Ed.), Ethnomathematics: Challenging eurocentrism in mathematics education. Albany: State University of New York, 1997. p.1-15. ZASLAVSKY, C. Africa counts: Number and patterns in African cultures. Chicago: Lawrence Hill, 1999.