Skip to main content

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

  • Chapter
  • First Online:
Teaching Mathematical Modelling: Connecting to Research and Practice

Abstract

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.

The study reported in this chapter was conducted in Universitas Sanata Dharma Indonesia, the author’s former affiliated institution.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  • Ang, K. C. (2009). Mathematical modelling in the secondary and junior college classroom. Singapore: Prentice Hall.

    Google Scholar 

  • 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 

  • Burkhardt, H. (2006). Modelling in mathematics classrooms: Reflections on past development and the future. ZDM, 38(2), 178–195.

    Article  Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • 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 

  • English, L. (2006). Mathematical modelling in the primary school: Children’s construction of a consumer guide. Educational Studies in Mathematics, 63(3), 303–323.

    Article  Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • Freudenthal, H. (1983). Didactical phenomenology of mathematical structures. Dordrecht: Reidel.

    Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • 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 

  • 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 

  • 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.

    Article  Google Scholar 

  • Sembiring, R. K., Hoogland, K., & Dolk, M. (2010). A decade of PMRI in Indonesia. Utrecht: APS International.

    Google Scholar 

  • 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 

  • 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.

    Chapter  Google Scholar 

  • 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 

  • 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 

Download references

Acknowledgements

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wanty Widjaja .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Widjaja, W. (2013). Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia. 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_50

Download citation

Publish with us

Policies and ethics