Abstract
Extra curricular modelling events for school students are increasing in popularity. The experience from the perspective of participating Australian and Singaporean Year 10 and 11 students in one such event, the A. B. Paterson College Mathematical Modelling Challenge, is investigated. The aim is to gauge whether their experience meets the intended purposes of mentors that the whole event be considered an inherently valuable learning experience about modelling and application of mathematics to real situations. Findings from a questionnaire and other data included motivation for choice of situation to model, decision making about approach, and reporting of findings were mainly goal oriented rather than performance oriented, despite the Challenge ostensibly being a competition.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bracke, M., & Geiger, A. (2011). Real-world modelling in regular lessons: A long term experiment. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 529–549). New York: Springer.
Brahier, D. J. (2011). Motivation and disposition: The hidden curriculum. In D. J. Brahier & W. R. Speer (Eds.), Motivation and disposition: Pathways to learning mathematics (pp. 1–8). Reston, VA: NCTM.
Brown, R., & Redmond, T. (2007). Collective argumentation and modelling mathematics practices outside the classroom. In J. Watson & K. Beswick (Eds.), Mathematics: Essential research, essential practice (Proceedings of MERGA30, Hobart, Vol. 1, pp. 163–171). Adelaide: MERGA.
Ford, M. E. (1992). Motivating humans: Goals, emotions and personal agency beliefs. Newbury Park, CA: Sage.
Galbraith, P., Stillman, G., & Brown, J. (2010). Turning ideas into modeling problems. In R. Lesh, P. L. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modeling students’ mathematical modelling competencies (pp. 133–144). New York: Springer.
Göttlich, S. (2010). Modelling with students – A practical approach. In A. Araújo, A. Fernandes, A. Azevedo, & J. F. Rodrigues (Eds.), Conference proceedings of EIMI 2010 (pp. 235–242). Lisbon/Bedford: Centro Internacional de Matemática/COMAP.
Hannula, M. S. (2006). Motivation in mathematics: Goals reflected in emotions. Educational Studies in Mathematics, 63(2), 165–178.
Julie, C. (2007). Learners’ context preferences and mathematical literacy. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modeling: Education, engineering and economics (pp. 195–202). Chichester: Horwood.
Kaiser, G., & Schwarz, B. (2006). Mathematical modelling as bridge between school and university. ZDM, 38(2), 196–208.
Kaiser, G., & Schwarz, B. (2010). Authentic modelling problems in mathematics education – Examples and experiences. Journal für Mathematik-Didaktik, 31(1), 51–76.
Kaiser, G., Schwarz, B., & Buchholtz, N. (2011). Authentic modelling problems in mathematics education. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 591–601). New York: Springer.
Kaland, C., Kaiser, G., Ortlieb, C. P., & Struckmeier, J. (2010). Authentic modelling problems in mathematics education. In A. Araújo, A. Fernandes, A. Azevedo, & J. F. Rodrigues (Eds.), Conference proceedings of EIMI 2010 (pp. 321–332). Lisbon/Bedford: Centro Internacional de Matemática/COMAP.
Kasmer, L., & Kim, O.-K. (2011). Using prediction to motivate personal investment in problem solving. In D. J. Brahier & W. R. Speer (Eds.), Motivation and disposition: Pathways to learning mathematics (pp. 157–168). Reston, VA: NCTM.
Lee, N. H., & Ng, K. E. D. (Eds.) (in press). Mathematical modelling – From theory to practice. Singapore: World Scientific.
Ministry of Education (MOE). (2006). Secondary mathematics syllabus. Singapore: Ministry of Education.
Ng, K. E. D. (2011). Mathematical knowledge application and student difficulties in a design-based interdisciplinary project. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 107–116). New York: Springer.
Queensland Schools Authority (QSA). (2008). Mathematics B senior syllabus. Brisbane: Author.
Queensland Schools Authority (QSA). (2009). Year 10 guidelines: Mathematics. Brisbane: Author.
Richards, L. (2005). Handling qualitative data: A practical guide. London: Sage.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Appendix – Relevant Questionnaire Questions
Appendix – Relevant Questionnaire Questions
Q 1: Why did you decide on this particular situation to model?
Q 3: How did you come to choose the approach you adopted?
Q 7: How did you decide on what was most important to include in your report?
Q10: What were the most interesting things you learned by being involved in the Modelling Challenge?
Q11: What were the most difficult parts of the whole process?
Q12: How often would you have done similar types of activities in your mathematics classroom at school?
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Stillman, G.A., Brown, J.P., Galbraith, P. (2013). Challenges in Modelling Challenges: Intents and Purposes. 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_19
Download citation
DOI: https://doi.org/10.1007/978-94-007-6540-5_19
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)