Abstract
This paper reports an exploratory study which examined how a group of pre-service secondary school mathematics teachers’ knowledge in mathematical modelling was shaped by their independent modelling experiences. It also determined the pre-service teachers’ views on teaching mathematical modelling. The findings show that independent modelling experiences with reflection activities had enabled the pre-service teachers to acquire knowledge on the important elements of modelling activities in the various stages of the modelling process. The pre-service teachers’ views on teaching mathematical modelling were mainly limited to the scientific-humanistic perspective. Implications for these findings on mathematical modelling instructional practice were discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ang, K. C. (2009). Mathematical modelling in the secondary and junior college classroom. Upper Saddle River, NJ: Prentice Hall.
Ang, K. C. (2010). Mathematical modelling in the Singapore curriculum: Opportunities and challenges. In A. Araújo, A. Fernandes, A. Azevedo, & J. F. Rodrigues (Eds.), Conference proceedings of EIMI 2010: Educational interfacecs between mathematics and industry (pp. 53–61). Lisbon/Bedford: Centro Internacional de Matemática/COMAP.
Ball, D. L. (2000). Bridging practices: Intertwining content and pedagogy in teaching and learning to teach. Journal of Teacher Education, 51(3), 241–247.
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special. Journal of Teacher Education, 59(5), 389–407.
Barbosa, J. C. (2006). Mathematical modelling in classroom: A socio-critical and discursive perspective. ZDM – The International Journal on Mathematics Education, 38(3), 293–301.
Blum, W., & Leiss, D. (2007). How do students and teachers deal with modeling problems? In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modeling: Education, engineering and economics (pp. 222–231). Chichester: Horwood.
Blum, W., & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects: State, trends and issues in mathematics instruction. Educational Studies in Mathematics, 22(1), 37–68.
Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM – The International Journal on Mathematics Education, 38(3), 293–301.
Lawson, D. A., & Tabor, J. H. (2001). Stopping distances: An excellent example of empirical modelling. Teaching Mathematics and Its Applications, 20(2), 66–74.
Ministry of Education (MOE). (2012). Mathematical modelling resource kit. Singapore: Ministry of Education. http://library.edumall.sg/cos/o.x?ptid=92&c=/library/linktree&sid=237. Accessed 5 Apr 2012.
Shulman, L. S. (1986). Paradigms and research programs in the study of teaching: A contemporary perspective. In M. C. Witrock (Ed.), Third handbook of research on teaching (pp. 3–36). New York: Macmillan.
Stillman, G., Galbraith, P., Brown, J., & Edwards, I. (2007). A framework for success in implementing mathematical modelling in the secondary classroom. In J. Watson, & K. Beswick (Eds.), Mathematics: Essential research, essential practice. (Proceedings of the 30th annual conference of the Mathematics Research Group of Australasia, Hobart, Vol. 2, pp. 688–707). Adelaide: MERGA.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Tan, L.S., Ang, K.C. (2013). Pre-service Secondary School Teachers’ Knowledge in Mathematical Modelling – A Case Study. In: Stillman, G., Kaiser, G., Blum, W., Brown, J. (eds) Teaching Mathematical Modelling: Connecting to Research and Practice. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6540-5_31
Download citation
DOI: https://doi.org/10.1007/978-94-007-6540-5_31
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6539-9
Online ISBN: 978-94-007-6540-5
eBook Packages: Humanities, Social Sciences and LawEducation (R0)