The role of a critical ethnomathematics curriculum in transforming and empowering learners
Palabras clave:
Ethnomathematics, Teacher education, Critical ethnomathematics curriculum, culturally responsive mathematics educationResumen
Abstract
When thinking about mathematics, seldom does one think about culture, context, history, or diversity. Many teachers believe that there is no place for such constructs in their mathematics classrooms. As an ethnomathematician, my primary goal is to find meaningful ways to bring components of ethnomathematics into the mainstream mathematics curriculum and classrooms. In this paper, I describe key aspects of a mathematics curriculum that was designed to promote meaningful connections between ethnomathematics theory and practice and highlight how this curriculum might help address the key tenets of a critical ethnomathematics curriculum.
Resumen
Cuando se piensa en las matemáticas, rara vez se piensa en la cultura, el contexto, la historia, o la diversidad. Muchos profesores creen que no hay lugar para este tipo de construcciones en sus clases de matemáticas. Como etnomatemática, mi objetivo principal es encontrar maneras significativas para traer componentes de etnomatemáticas en el currículo general de matemáticas y en las aulas. En este artículo, describo aspectos claves de un plan de estudios de matemáticas que fueron diseñados para promover conexiones significativas entre la teoría y la práctica Etnomatemática y destacar cómo este plan de estudios podría tratar los componentes claves de un currículo crítico etnomatemático.
Descargas
Citas
Ascher, M. (1991). Ethnomathematics: A multicultural view of mathematical ideas. New York: Chapman and Hall.
Ascher, M. (2002). Mathematics elsewhere: An exploration of ideas across cultures. Princeton, NJ: Princeton University Press.
Carraher, T. N., Carraher, D. W., & Schliemann, A. D. (1987). Written and oral mathematics. Journal for Research in Mathematics Education, 18, 83-97.
Chenulu, S. (2007). Teaching mathematics through the art of kolam. Mathematics Teaching in the Middle School, 12(8), 422-428.
Civil, M. (2002). Culture and Mathematics: a community approach. Journal of Intercultural Studies, 23(2), 133-148.
Croom, L. (1997). Mathematics for All Students: Access, Excellence, and Equity. In J. Trentacosta (Ed.), Multicultural and gender equity in the mathematics classroom: The gift of diversity (pp. 1-9), NCTM: Reston, VA.
D‟Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 5(1), 44-48.
D‟Ambrosio, U. (1992). Ethnomathematics: A research program in the history and philosophy of mathematics with pedagogical implications. Notices of the American Mathematical Society, 39(10), 1183-1185.
Eglash, R. (2002). Computation, Complexity and Coding in Native American Knowledge Systems. In J. E. Hankes, & G. R. Fast (Eds.), Changing the Faces of Mathematics: Perspectives on Indigenous People of North America (pp. 251-262). Reston, VA: NCTM.
Fasheh, M. (2000). The trouble with knowledge. Paper presented at a global dialogue on “Building Learning Societies – Knowledge Information and Human Development, Hanover, Germany. Retrieved from http://www.swaraj.org/shikshantar/resources_fasheh.html
Fasheh, M. (2012). The role of mathematics in the destruction of communities, and what we can do to reverse this process, including using mathematics, In O. Skovsmose, & B. Greer (Eds.) Opening the Cage: Critique and Politics of Mathematics Education, 23, (pp. 93-105), The Netherlands: Sense Publishers.
Gay, G. (2000). Culturally responsive teaching. Theory, research, and practice. New York: Teachers College Press.
Gerdes, P. (1997). On culture, geometrical thinking and mathematics education. In A. B. Powell, & M. Frankenstein (Eds.), Ethnomathematics: Challenging Eurocentrism in Mathematics (pp. 223-248). Albany: State University of New York.
Gerdes, P. (1998). Women, art, and geometry in Southern Africa. Africa: World Press.
Gerdes, P. (2006). Sona Geometry from Angola: mathematics of an African tradition. Milan, Italy: Polimetrica International Scientific Publisher.
Greer, B. (1996). Theories of mathematics education: The role of cognitive analyses. In L. P. Steffe, P. Nesher, P. Cobb, G. A. Goldin, & B. Greer (Eds.), Theories of mathematical learning (pp. 179-196). Mahwah, NJ: Erlbaum.
Gutstein, E., & Peterson, B. (2013). Rethinking mathematics: Teaching social justice by the numbers. Retrived from: www.rethinkingschools.org
Joseph, G. G. (1987). Foundations of Eurocentricism in mathematics. Race and Class, 28(3), 13-28.
Joseph, G. G. (2000). Crest of the peacock: Non-European roots of mathematics. Princeton, NJ: Princeton University Press.
Katz, V. (2003). Book review. Notices of the American Mathematics Society, 50(5). Retrieved October 2, 2006 from http://www.ams.org/notices/200305/rev-katz.pdf
Laine, A. (2009). Complementarity between art and anthropology. Experiences among kolam makers in South India. Suomen Antropologi. Journal of the Finnish Anthropological Society, 34(2), 58-69.
Lave, J. (1988). Cognition in practice: Mind, mathematics and culture in everyday life. New York, NY: Cambridge University Press.
Lumpkin, B. (1997). Geometry activities from many cultures. Portland, Maine: Walch Education.
Millroy, W. L. (1992). An ethnographic study of the mathematical ideas of a group of carpenters. Journal for Research in Mathematics Education. Monograph No. 5. Reston, VA: National Council of Teachers of Mathematics.
Mukhopadhyay, S., Powell, A. B., & Frankenstein, M. (2009). An Ethnomathematical perspective on culturally responsive mathematics education. In B. Greer, & S. Mukhopadhyay (Eds.), Culturally Responsive Mathematics Education (pp. 65-84), Mahwah, NJ, USA: Roultledge.
Naresh, N. (2008). Workplace Mathematics of Bus Conductors in Chennai, India. (Doctoral dissertation). Illinois State University. Available online at http:// gradworks.umi.com/3353093.pdf
Naresh, N., & Chahine, I. C. (2013). Reconceptualizing research on workplace mathematics: Negotiations grounded in personal practical experiences. REDIMAT Journal of Research in Mathematics Education, 2(3).
Nunes, T. (1992). Ethnomathematics and everyday cognition. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 557-574). New York: McMillan.
Orey, D., & Rosa, M. (2006). Ethnomathematics: Cultural Assertions and Challenges Towards Pedagogical Action. The Journal of Mathematics and Culture, 1(1), 57-78.
Powell, A. B., & Frankenstein, M. (1997). Ethnomathematics: Challenging Eurocentrism in Mathematics Education. New York: State University of New York Press
Presmeg, N. C. (1998). Ethnomathematics in teacher education. Journal of Mathematics Teacher Education, 1(3), 317-339.
Robson, E. (2002). Words and Pictures: New Light on Plimpton 322. American Mathematical Monthly, 109, 105-210.
Rosa, M., & Orey, D. C. (2011). Ethnomathematics: the cultural aspects of mathematics. Revista Latinoamericana de Etnomatemática, 4(2), 32-54.
Saxe, G. (1991). Culture and cognitive development: Studies in mathematical understanding. Hillsdale, NJ: Lawrence Erlbaum Associates
Shirley, L. H., & Kyeleve, I. J. (2005). A cyclic pattern of mathematics curriculum trends. In H. S. Dhindsa, I. J. Kyeleve, O. Chukwu, & J. S. H. Quintus Peiera (Eds.), Future directions in science, mathematics and technical education (pp. 187-195). Bandar Seri Begawan: University, Brunei Darussalam.
Siromoney, G. (1978). South Indian kolam patterns. Kalakshetra Quarterly, 1(1), 9-14.
Zaslavsky, C. (2002). Exploring world cultures in math class. Educational Leadership, 60 (2), 66-69.
Descargas
Publicado
Cómo citar
Número
Sección
Licencia
Derechos de autor
Una vez que el artículo es aceptado por la Revista Latinoamericana de Etnomatemática, los/as autores ceden los derechos para publicar y distribuir el texto electrónicamente, así como para archivarlo y hacerlo accesible en línea.
Los autores podrán distribuir su propio material sin solicitar permiso a la Revista Latinoamericana de Etnomatemática, siempre que se mencione que la versión original se encuentra en http://www.revista.etnomatematica.org
Copyright © 2008, Revista Latinoamericana de Etnomatemática
Todos los contenidos de la Revista Latinoamericana de Etnomatemática se publican bajo la Licencia Creative Commons Atribución 4.0 Internacional y pueden ser usados gratuitamente dando los créditos a los autores y a la Revista, como lo establece esta licencia.