Mapping the Cognitive Competencies of Street Vendors and Bus Conductors: A Cross-Cultural Study of Workplace Mathematics

Autores

  • Iman C. Chahine Georgia State University
  • Nirmala Naresh Miami University

Palavras-chave:

Workplace mathematics, Ethnomathematics, Heuristics, Problem-solving, Conceptual fields, Matemáticas del lugar de trabajo, Etnomatemática, Heurísticas, Resolución de problemas, Campos conceptuales

Resumo

Abstract

This paper explores the mathematical ideas that emerge across two workplace settings, namely street vending and bus conducting. The purpose of this study was to delineate a trajectory describing potential mathematical structures underlying bus conducting and street vending activities and to extract a conceptual model that could explain the nature of the practitioners’ mathematical knowledge and its connection to formal mathematics. We conducted a meta-analysis of the problem solving behavior and narratives of street vendors and bus conductors in two geographic sites in Beirut, Lebanon and Chennai, India. Principled by Vergnaud’s theory of conceptual fields, the researchers examined heuristics-in-action that transpired as a result of practitioners’ engagement in their respective work situations.

Resumen

Este artículo explora las ideas matemáticas que surgen a través de dos lugares de trabajo, la venta ambulante y la conducción de autobús. El propósito de este estudio fue definir una trayectoria que describa posibles estructuras matemáticas subyacentes en la conducción de autobuses y actividades  de venta ambulante para extraer un modelo conceptual que podría explicar la naturaleza del conocimiento matemático de los practicantes y su conexión con las matemáticas formales. Hemos llevado a cabo un meta-análisis de la conducta y narraciones de los vendedores ambulantes y conductores en dos sitios geográficos en Beirut, Líbano and Chenai, India. De los principios de la teoría de los campos conceptuales de Vergnaud, los investigadores examinaron la heurística-en-acción que se dieron como resultado de la participación de los practicantes en sus respectivas situaciones de trabajo.

Downloads

Não há dados estatísticos.

Biografia do Autor

Iman C. Chahine, Georgia State University

Department of Middle-Secondary Education. Assistant Professor of Mathematics Education.

Nirmala Naresh, Miami University

Department of Mathematics. Assistant Professor

Referências

Amsterdam, A. G., Bruner, J. S. (2000). Minding the law. Cambridge, MA: Harvard University Press.

Bessot, A., Ridgeway, J. (Eds.). (2000). Education for mathematics in the workplace. Dordrecht, Netherlands: Kluwer Academic Publishers.

Bruner, J. (1986). Actual minds, possible worlds. Cambridge, MA: Harvard University Press.

Carraher, T. N., Carraher, D. W., & Schliemann, D. S. (1985). Mathematics in streets and schools. British Journal of Developmental Psychology, 3, 21-29.

Ceci, S. J., Roazzi, A. (1994). The effects of context on cognition: Postcards from Brazil. In R. J. Sternberg & R. K. Wagner (Eds.), Mind in context: Interactionist perspectives on human intelligence (pp.74-101). New York: Cambridge University Press.

Coulter, C. A., Smith, M. L. (2009). The construction zone: Literary elements in narrative research. Educational Researcher, 38(8), 577-590.

D'Ambrosio, U. (1992). Ethnomathematics: A research program on the history and philosophy of mathematics with pedagogical implications. Notices of the American Mathematical Society, 39(10), 1183-1185.

Dawe, L. (1988). Mathematics teaching and learning in village schools of the South Pacific. Paper presented at the Sixth International Congress on Mathematical Education, Budapest.

Gay, J., Cole, M. (1967). The new mathematics and an old culture: A study of learning among the Kpelle of Liberia. New York: Holt, Rinehart & Winston.

Gerdes, P. (1998). Women, art and geometry in Southern Africa. Lawrenceville, NJ: Africa World Press.

Ginsburg, H. P. (1988). Children's arithmetic: The learning process. New York: Van Nostrand.

Hochestin, E. (2008). Endorsing non-occurrent beliefs: Why standard belief functioning is problematic for the extended mind. In B. Hardy-Vallee & N. Payette (Eds.), Beyond the brain: Embodied, Situated and Distributed Cognition (pp. 205-214). Newcastle, UK: Cambridge Scholars Publishing.

Hoyles, C., Noss, R. (2010). Improving mathematics at work. London, UK: Routledge

Hoyles, C., Wolf, A., Molyneux Hodgson, S., & Kent, P. (2002). Mathematical skills in the workplace: Final report to the Science, Technology and Mathematics Council. London: Institute of Education, University of London/STM Council.

Jurdak, M., Shahin, I. C. (2002). Problem solving activity in the workplace and the school: The case of constructing solids. Educational Studies in Mathematics, 47, 297-315.

Jurdak, M., Shahin, I. C. (1999). An ethnographic study of the computational strategies of a group of young street vendors in Beirut. Educational Studies in Mathematics Education, 40, 155-172.

Kearins, J. M. (1981). Visual spatial memory in Australian indigenous children of the desert regions. Cognitive Psychology, 13, 434–460.

Kirsh, D., Maglio, P. (1995). On distinguishing epistemic from pragmatic actions. CognitiveScience. 513-549.

Lakoff, G., Nùňez, R. (2000). Where mathematics comes from: How the embodied mind brings mathematics into being. New York: Basic Books.

Lave, J. (1988). Cognition in practice. Cambridge, U.K. Cambridge University Press.

Lindlof, T. R., Taylor, B. (2002). Qualitative communication research methods. Thousand Oaks, CA: SAGE Publications, Incorporated.

Magajna, Z., Monaghan, J. (2003). Advanced mathematical thinking in a technological workplace. Educational Studies in Mathematics, 52(2), 101-122

Masingila, J. O. (1994). Mathematics practice in carpet laying. Anthropology and Education Quarterly, 25(4), 430-462.

Masten, A., Coatsworth, D. (1995). Competence, resilience, and psychopathology. In D. Cicchetti & D. Cohen (Eds.), Developmental Psychopathology -Volume 2: Risk, Disorder, and Adaptation (pp. 715-752). New York: John Wiley & Sons, Inc.

Mercer, N. (2000) Words and minds: How we use language to think together. London, UK: Routledge.

Millroy, W. L. (1992). An ethnographic study of the mathematical ideas of a group of carpenters. Journal for Research on Math Education Monographs, 5 (0883-9530).

Moore, N. (2006). The contexts of context: Broadening perspectives in the (re)use of qualitative data. Methodological Innovations Online, 1(2), 21-32

Naresh, N. (2008). Workplace Mathematics of the Bus Conductors in Chennai, India. Unpublished doctoral dissertation. Illinois State University.

Noss, R., Hoyles, C., & Pozzi, S. (2000). Working knowledge: Mathematics in use. In A. Bessot & J. Ridgway (Eds.), Education for mathematics in the workplace (pp. 17-35). Dordrecht, Netherlands: Kluwer Academic Publishers

Nunes, T., Schliemann, A. D., & Carraher, D. W. (1993). Street mathematics and school mathematics. Cambridge, UK: Cambridge University Press.

Reichelt, A., Rossmanith, N. (2008). Relating embodied and situated approaches to cognition. In B. Hardy-Vallee & N. Payette (Eds.), Beyond the brain: Embodied, situated and distributed cognition (pp. 57-67). Newcastle, UK: Cambridge Scholars Publishing.

Sanin, C., Szczerbicki, E. ( 2009). Application of a multi domain knowledge structure: The decisional DNA. In Intelligent systems for knowledge management (pp. 65- 86). Dusseldorf, Germany: Springer Verlag.

Saxe, G. B. (1988). Candy selling and mathematics learning. Educational Researcher, 17(6), 14-21.

Saxe, G. B. (1991). Culture and cognitive development: Studies in mathematical understanding. Hillsdale, NJ: Lawrence Erlbaum Association.

Standler, R. (2000). Mathematics for engineers. Retrieved from http://www.rbs0.com/math.htm

Vergnaud, G. (1988). Multiplicative structures. In M. Hiebert & J. Behr (Eds.), Number concepts and operations in the middle grades (pp.46-65). Reston, VA: National Council for Teachers of Mathematics.

Vergnaud, G. (2000). Introduction. In A. Bessot, & J. Ridgeway (Eds.), Education for mathematics in the workplace. (pp. xvii-xxiv). Dordrecht: The Netherlands. Kluwer Academic Publishers.

Wang, Q., Ceci W. M., Williams K., & Kopko, A. (2004). Culturally situated cognitive competence: A functional framework. In R. Sternberg (Ed.), Culture and competence (pp. 225-249). Washington, DC: American Psychological Association.

Wenger, E. (2000). Communities of practice: The organizational frontier. Harvard Business Review, 78(1), 139-145.

Zevenbergen, R. (2000). Research methods for mathematics at work. In A. Bessot & J. Ridgway (Eds.), Education for mathematics in the workplace (pp. 181-188). Dordrecht, Netherlands: Kluwer Academic Publishers.

Publicado

2013-10-05

Como Citar

Chahine, I. C., & Naresh, N. (2013). Mapping the Cognitive Competencies of Street Vendors and Bus Conductors: A Cross-Cultural Study of Workplace Mathematics. Revista Latinoamericana De Etnomatemática, 6(3), 7-35. Recuperado de https://revista.etnomatematica.org/index.php/RevLatEm/article/view/66

Edição

Seção

Artigos de pesquisa