Skip to main content
SpringerLink
Log in
Book cover

Teaching Mathematical Modelling: Connecting to Research and Practice pp 153–163Cite as

Students’ Designing an Ideal Tourism Route as Mathematical Modelling

  • Chapter
  • First Online:

  • 3177 Accesses

Abstract

This chapter is part of a larger study investigating Primary 6 (Grade 6) students’ engagement in mathematical modelling in a Singapore school and focuses on the mathematical reasoning of one of the modelling tasks attempted by a group of students. The task challenged the students to design an itinerary package for a group of tourists intending to visit a holiday resort island. The design primarily included the need to plan a plausible route to cover places to visit while taking into consideration distance, time, and cost aspects framed within certain task conditions. Through a models-and-modelling perspective, examples of the group’s work are presented to show their conceptualisations and mathematical reasoning towards reaching a final considered route.

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

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

Learn about institutional subscriptions

References

  • Chan, C. M. E. (2008). Mathematical modelling experiences for mathematical development in children. Thinking Classroom, 9(2), 37–45.

    Google Scholar 

  • English, L. D., & Sriraman, B. (2010). Problem solving for the 21st century. In L. D. English & B. Sriraman (Eds.), Theories of mathematics education: Seeking new frontiers (pp. 263–285). Berlin: Springer.

    Chapter  Google Scholar 

  • English, L. D., & Watters, J. J. (2005). Mathematical modelling in third-grade classrooms. Mathematics Education Research Journal, 16(3), 59–80.

    Article  Google Scholar 

  • Ericsson, K. A., & Simon, H. A. (1993). Protocol analysis: Verbal reports as data (2nd ed.). Boston: MIT Press.

    Google Scholar 

  • Greer, B., Verschaffel, L., & Mukhopadhyay, S. (2007). Modelling for life: Mathematics and children’s experience. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study (pp. 89–98). New York: Springer.

    Chapter  Google Scholar 

  • Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K., Human, P., Murray, H., Olivier, A., & Wearne, D. (1996). Problem solving as a basis for reform in curriculum and instruction: The case of mathematics. Educational Researcher, 25(4), 12–21.

    Article  Google Scholar 

  • Lesh, R., & Doerr, H. (2003). Foundations of a models and modeling perspective in mathematics teaching and learning. In R. Lesh & H. M. Doerr (Eds.), Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning and teaching (pp. 3–34). Mahwah: Lawrence Erlbaum.

    Google Scholar 

  • Miles, M. B., & Huberman, M. A. (1994). An expanded sourcebook: Qualitative data analysis (2nd ed.). Thousand Oaks: Sage.

    Google Scholar 

  • Sriraman, B., & Lesh, R. (2006). Modeling conceptions revisited. Zentralblatt für Didaktik der Mathematik, 38(3), 247–254.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics and Mathematics Education Academic Group, National Institute of Education, Nanyang Technological University, Singapore, Singapore

    Chun Ming Eric Chan

Authors
  1. Chun Ming Eric Chan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chun Ming Eric Chan .

Editor information

Editors and Affiliations

  1. Education VIC | Faculty of Education, Australian Catholic University, Ballarat, Victoria, Australia

    Gloria Ann Stillman

  2. Faculty of Education, University of Hamburg, Hamburg, Germany

    Gabriele Kaiser

  3. Department of Mathematics, University of Kassel, Kassel, Germany

    Werner Blum

  4. Education VIC | Faculty of Education, Australian Catholic University, Melbourne, Victoria, Australia

    Jill P. Brown

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Chan, C.M.E. (2013). Students’ Designing an Ideal Tourism Route as Mathematical Modelling. 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_13

Download citation

Publish with us

Policies and ethics

Search

Navigation