Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia

  • Wanty Widjaja
Part of the International Perspectives on the Teaching and Learning of Mathematical Modelling book series (IPTL)


Interest to teach mathematics closely connected to its use in daily life has grown in Indonesia for over the last decade (Sembiring RK, Hadi S, Dolk M, ZDM – Int J Math Educ 40(6):927–939, 2008). This chapter reports an exploratory case study of the building of an awareness of mathematical modelling in teacher education in Indonesia. A modelling task, Re-designing a Parking Lot (Ang KC, Mathematical modelling in the secondary and junior college classroom. Prentice Hall, Singapore, 2009), was assigned to groups of pre-service secondary mathematics teachers. All groups collected data on a parking lot, identified limitations in the current design, and proposed a new design based on observations and analyses. The nature of the mathematical models elicited during the modelling task were examined. Implications of this study suggest a need to encourage pre-service teachers to state assumptions and real-world considerations and link them to the mathematical model in order to validate if the model is appropriate and useful.


Teacher Education Modelling Task Parking Space Secondary Mathematics Teacher Pertinent Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The author thanks the pre-service teachers from Universitas Sanata Dharma, Indonesia for their support. Contribution of the National Institute of Education Singapore in supporting the author to present a related short paper with early findings at ICTMA 15 Conference in Melbourne is acknowledged.


  1. Ang, K. C. (2009). Mathematical modelling in the secondary and junior college classroom. Singapore: Prentice Hall.Google Scholar
  2. Blum, W. (1993). Mathematical modelling in mathematics education and instruction. In T. Breiteig, I. Huntley, & G. Kaiser (Eds.), Teaching and learning mathematics in context (pp. 3–14). Chichester: Ellis Horwood.Google Scholar
  3. Burkhardt, H. (2006). Modelling in mathematics classrooms: Reflections on past development and the future. ZDM, 38(2), 178–195.CrossRefGoogle Scholar
  4. Doerr, H. M. (2007). What knowledge do teachers need for teaching mathematics through applications and modelling? In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education (pp. 69–78). New York: Springer.CrossRefGoogle Scholar
  5. Dolk, M., Widjaja, W., Zonneveld, E., & Fauzan, A. (2010). Examining teacher’s role in relation to their beliefs and expectations about students’ thinking in design research. In R. K. Sembiring, K. Hoogland, & M. Dolk (Eds.), A decade of PMRI in Indonesia (pp. 175–187). Bandung: APS International.Google Scholar
  6. English, L. (2006). Mathematical modelling in the primary school: Children’s construction of a consumer guide. Educational Studies in Mathematics, 63(3), 303–323.CrossRefGoogle Scholar
  7. English, L. (2010). Modelling with complex data in the primary school. In R. Lesh, P. L. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modelling students’ mathematical modelling competencies (pp. 287–299). New York: Springer.CrossRefGoogle Scholar
  8. Freudenthal, H. (1983). Didactical phenomenology of mathematical structures. Dordrecht: Reidel.Google Scholar
  9. Kaiser, G., Schwarz, B., & Tiedemann, S. (2010). Future teachers’ professional knowledge on modelling. In R. Lesh, P. L. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modelling students’ mathematical modelling competencies (pp. 433–444). New York: Springer.CrossRefGoogle Scholar
  10. Lamon, S. J., Parker, W. A., & Houston, K. (2003). Preface. In S. J. Lamon, W. A. Parker, & K. Houston (Eds.), Mathematical modelling: A way of life (pp. ix–x). Chichester: Horwood.CrossRefGoogle Scholar
  11. Maaß, K. (2007). Modelling in class: What do we want the students to learn? In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling ICTMA 12: Education, engineering and education (pp. 63–78). Chichester: Horwood.Google Scholar
  12. Niss, M., Blum, W., & Galbraith, P. (2007). Introduction. In W. Blum, P. Galbraith, H-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study (pp. 3–32). New York: Springer.Google Scholar
  13. Sembiring, R. K., Hadi, S., & Dolk, M. (2008). Reforming mathematics learning in Indonesian classrooms through RME. ZDM – The International Journal of Mathematics Education, 40(6), 927–939.CrossRefGoogle Scholar
  14. Sembiring, R. K., Hoogland, K., & Dolk, M. (2010). A decade of PMRI in Indonesia. Utrecht: APS International.Google Scholar
  15. Stillman, G. (2008). Connected mathematics through mathematical modelling and applications. In J. Vincent, R. Pierce, & J. Dowsey (Eds.), Connected mathematics (pp. 325–339). Melbourne: MAV.Google Scholar
  16. Stillman, G. (2010). Implementing applications and modelling in secondary school: Issues for teaching and learning. In B. Kaur & J. Dindyal (Eds.), Mathematical modelling and applications yearbook 2010 (pp. 300–322). Singapore: World Scientific.CrossRefGoogle Scholar
  17. Widjaja, W. (2010). Modelling the cooling of coffee: Insights from a preliminary study in Indonesia. In L. Sparrow, B. Kissane, & C. Hurst (Eds.), Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia (pp. 626–633). Fremantle: MERGA.Google Scholar
  18. Widjaja, W., Dolk, M., & Fauzan, A. (2010). The role of contexts and teacher’s questioning to enhance students’ thinking. Journal of Science and Mathematics Education in Southeast Asia, 33(2), 168–186.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Mathematics Education, School of EducationDeakin University Faculty of Arts and EducationMelbourneAustralia

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