Abstract
This chapter discusses the relation between ‘emergent modelling’ and ‘mathematical modelling’. The former that has its roots in RME theory constitutes the main theme of this chapter. It is argued that mathematical modelling requires a preceding learning process, since it requires abstract mathematical knowledge to construe a mathematical model. The emergent-modelling design heuristic offers a means for shaping a series of modelling tasks that may foster the development of that abstract mathematical knowledge. The emergent-modelling heuristic is illustrated with an instructional sequence on data analysis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Cobb, P. (2002). Modelling, symbolizing and tool use in statistical data analysis. In: Gravemeijer, K., Lehrer, R., van Oers, B., & Verschaffel, L. (Eds.), Symbolizing, modelling and tool use in mathematics education, (pp. 171–195). Dordrecht, the Netherlands: Kluwer Academic Publishers.
Cobb, P., Yackel E., & Wood T. (1992). A constructivist alternative to the representational view of mind in mathematics education. Journal for Research in Mathematics Education, 23(1), 2–33.
Gravemeijer, K. (1999). How emergent models may foster the constitution of formal mathematics. Mathematical Thinking and Learning. 1(2), 155–177.
Lesh, R., & Harel, G. (2003). Problem solving, modelling, and local conceptual development. Mathematical Thinking and Learning, 5, 157–190.
Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22, 1–36.
Verschaffel, L., Greer; B., & De Corte, E. (2002). Everyday knowledge and mathematical modelling of school word problems. In Gravemeijer, K., Lehrer, R., van Oers, B., & Verschaffel, L. (Eds.), Symbolizing, modelling and tool use in mathematics education, (pp. 257–276). Dordrecht, the Netherlands: Kluwer Academic Publishers.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Gravemeijer, K. (2007). Emergent Modelling as a Precursor to Mathematical Modelling. 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_12
Download citation
DOI: https://doi.org/10.1007/978-0-387-29822-1_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-29820-7
Online ISBN: 978-0-387-29822-1
eBook Packages: Humanities, Social Sciences and LawEducation (R0)