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Modelling for Life: Mathematics and Children’s Experience

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Modelling and Applications in Mathematics Education

Part of the book series: New ICMI Study Series ((NISS,volume 10))

Abstract

We make the case for introducing fundamental ideas about modelling early, in particular through reconceptualizing word problems that describe real-world situations as exercises in modelling. Further, we argue for modelling as a means of giving children a sense of agency through recognizing the potential of mathematics as a critical tool for analysis of issues important in their lives.

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References

  • Apple, M. W. (2000). Mathematics reform through conservative modernization? Standards, markets, and inequality in education. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 243–259). Westport, CT: Ablex.

    Google Scholar 

  • Brousseau, G. (1997). Theory of didactical situations in mathematics. Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • California Department of Education (2000). Mathematics framework for California public schools: Kindergarten through Grade 12. Sacramento, CA: Author.

    Google Scholar 

  • Cognition and Technology Group at Vanderbilt (1997). The Jasper project: Lessons in curriculum, instruction, assessment and professional development. Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Cooper, B., & Dunne, M. (2000). Assessing children’s mathematical knowledge: Social class, sex and problem-solving. Buckingham, England: Open University Press.

    Google Scholar 

  • Freire, P. (with Shor, I.). (1987). A pedagogy for liberation. Westport, CT: Bergin & Garvey.

    Google Scholar 

  • Gravemeijer, K. (2004). Emergent modelling as a precursor to mathematical modelling. In H.-W. Henn, & W. Blum (Eds), ICMI Study 14: Applications and modelling in mathematics education. Pre-conference volume (pp. 97–102). Dortmund: Universität Dortmund.

    Google Scholar 

  • Greer, B. (1993). The modelling perspective on wor(l)d problems. Journal of Mathematical Behavior, 12, 239–250.

    Google Scholar 

  • Gutstein, E. (2003a). Home buying while brown or black. Rethinking Schools, Fall, 35–37.

    Google Scholar 

  • Gutstein, E. (2003b). Teaching and learning mathematics for social justice in an urban, Latino school. Jorunal for Research in Mathematics Education, 34, 31–73.

    Google Scholar 

  • Lesh, R., & Doerr, H.M. (2003). Beyond constructivism. Models and modelling perspectives on mathematics problem solving, learning, and teaching. Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Mukhopadhyay, S. (1998). When Barbie goes to classrooms: Mathematics in creating a social discourse. In C. Keitel (Ed.), Social justice and mathematics education: Gender, class, ethnicity, and the politics of schooling (pp. 150–161). Berlin: Freie Universität.

    Google Scholar 

  • Mukhopadhyay, S., & Greer, B. (2001). Modelling with purpose: Mathematics as a critical tool. In B. Atweh, H. Forgasz, & B. Nebres (Eds.), Socio-cultural aspects in mathematics education (pp. Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Niss, M. (2001). Issues and problems of research on the teaching and learning of applications and modelling. In J.F. Matos, W. Blum, S.K. Houston, & S.P. Carreira (Eds.), Modelling and mathematics education. ICTMA 9: Applications in science and technology (pp. 72–89). Chichester, U.K.: Horwood.

    Google Scholar 

  • Schoenfeld, A. H. (1991). On mathematics as sense-making: An informal attack on the unfortunate divorce of formal and informal mathematics. In J.F. Voss, D.N. Perkins, & J.W. Segal (Eds.), Informal reasoning and education (pp. 311–343). Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Tate, W. F. (1995a). Returning to the root: A culturally relevant approach to mathematics pedagogy. Theory into Practice, 34, 166–173.

    Article  Google Scholar 

  • Tate, W. F. (1995b). School mathematics and African American students: Thinking seriously about opportunity-to-learn standards. Educational Administration Quarterly, 31, 424–448.

    Article  Google Scholar 

  • Van den Heuvel-Panhuizen, M. (2004). Schifts in understanding: The didactical use of models in mathematics education (pp. 285–290). In H.-W. Henn & W. Blum (Eds), ICMI Study 14: Applications and modelling in mathematics education. Pre-conference volume (pp. 97–102). Dortmund: Universität Dortmund.

    Google Scholar 

  • Verschaffel, L. (2002). Taking the modelling perspective seriously at the elementary school level: Promises and pitfalls (Plenary Lecture). In A. D. Cockburn & E. Nardi (Eds.), Proceedings of the 26 th Annual Meeting of the International Group for the Psychology of Mathematics Education, Vol. 1 (pp. 64–80). Norwich, England: University of East Anglia.

    Google Scholar 

  • Verschaffel, L., De Corte, E., & Borghart, I. (1997). Pre-service teachers’ conceptions and beliefs about the role of real-world knowledge in mathematical modelling of school word problems. Learning and Instruction, 4, 339–359.

    Article  Google Scholar 

  • Verschaffel, L., De Corte, E., & Lasure, S. (1994). Realistic considerations in mathematical modelling of school arithmetic word problems. Learning and Instruction, 4, 273–294.

    Article  Google Scholar 

  • Verschaffel, L., De Corte, E., Lasure, S., Van Vaerenbergh, G., Bogaerts, H., & Ratinckx, E. (1999). Design and evaluation of a learning environment for mathematical modelling and problem solving in upper elementary school children. Mathematical Thinking and Learning, 1, 195–229.

    Article  Google Scholar 

  • Verschaffel, L., Greer, B., & De Corte, E. (2000). Making sense of word problems. Lisse, The Netherlands: Swets & Zeitlinger.

    Google Scholar 

  • Vithal, R. (2003). In search of a pedagogy of conflict and dialogue for mathematics education. Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27, 458–477.

    Article  Google Scholar 

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Greer, B., Verschaffel, L., Mukhopadhyay, S. (2007). Modelling for Life: Mathematics and Children’s Experience. In: Blum, W., Galbraith, P.L., Henn, HW., Niss, M. (eds) Modelling and Applications in Mathematics Education. New ICMI Study Series, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-29822-1_7

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