Abstract
There is much reported research on experiences of learners of mathematical modelling and applications. In this paper we discuss contextual frameworks for such learning and associated teaching together with developmental research concerned with establishing a widely applicable mathematical modelling continuum.
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Christiansen, I.M. (2001). The effect of task organisation on classroom modelling activities. In J.F. Matos, W. Blum, K. Houston, & S.P. Carreira (Eds.), Modelling and Mathematics Education: ICTMA9 Applications in Science and Technology, (pp. 311–334). Chichester: Ellis Horwood.
Crouch, R.M., & Haines, C.R. (to appear). Mathematical Modelling: transitions between the real world and the mathematical model. International Journal of Mathematics Education in Science and Technology, 35(2), 197–206 (to appear).
Galbraith, P.L., & Stillman, G. (2001). Assumptions and context: Pursuing their role in modelling activity. In J.F. Matos, W. Blum, K. Houston & S.P. Carreira (Eds.), Modelling and Mathematics Education: ICTMA9 Applications in Science and Technology, (pp. 300–310). Chichester: Ellis Horwood.
Galotti, K.M. (1994). Cognitive Psychology In and Out of the Laboratory. Pacific Grove, California: Brooks/Cole.
Haines, C.R., & Crouch, R.M. (2001). Recognising Constructs within Mathematical Modelling. Teaching Mathematics and its Applications, 20(3), 129–138.
Haines, C.R., Crouch, R.M., & Fitzharris, A. (2003). Deconstructing Mathematical Modelling: Approaches to Problem Solving. In Q-X. Ye, W. Blum, K. Houston, & Q-Y. Jiang (Eds.), Mathematical Modelling in Education and Culture: ICTMA10, (pp. 41–53). Chichester: Ellis Horwood.
Houston, K., & Neill, N. (2003). Investigating students’ modelling skills. In Q-X Ye, W. Blum, K. Houston & Q-Y. Jiang (Eds.), Mathematical Modelling in Education and Culture: ICTMA10. Chichester: Ellis Horwood, 54–66.
Izard, J., Haines, C.R., Crouch, R.M., Houston, S.K., & Neill, N. (2003). Assessing the impact of the teaching of modelling. In S. Lamon, W. Parker & K. Houston (Eds.), Mathematical modelling: A way of life (pp. 165–178). Chichester: Ellis Horwood.
Matos, J.F. (1998). Mathematics Learning and Modelling: Theory and Practice. In S.K. Houston, W. Blum, I. Huntley, & N. Neill (Eds.), Teaching and Learning Mathematical Modelling, (pp. 21–27). Chichester: Albion.
Niss, M. (2001). Issues and Problems of Research on the Teaching and Learning of Applications and Modelling. In J.F. Matos, W. Blum, K. Houston, & S.P. Carreira (Eds.), Modelling and Mathematics Education: ICTMA9 Applications in Science and Technology, (pp. 73–88). Chichester: Ellis Horwood.
Sternberg, R.J. (1997). Cognitive Conceptions of Expertise. In P.J. Feltovich, K. Ford, & R.R. Hoffman (Eds.), Expertise in Context, (pp. 149–162). Menlo Park, California: AAAI/MIT Press.
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Haines, C., Crouch, R. (2007). Mathematical Modelling and Applications: Ability and Competence Frameworks. 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_46
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DOI: https://doi.org/10.1007/978-0-387-29822-1_46
Publisher Name: Springer, Boston, MA
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