Skip to main content

Part of the book series: New ICMI Study Series ((NISS,volume 10))

Abstract

This chapter argues that while there have been some notable achievements incorporating aspects of applications and modelling into educational programmes, this is no cause for complacency. In addition to making current knowledge and initiatives available to a wider spectrum of the educational community, future advancement requires that new questions be posed, existing conceptualisations deepened, and dilemmas identified and addressed. The chapter samples a selection of issues, some ongoing, some emerging that are illustrative of these challenges.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Eid, W. (2001). Mathematical modelling by the pupils themselves — Possibilities and limitations in school-leaving examination papers. In J. Matos, S.K. Houston, W. Blum, & S. Carreira (Eds). Modelling and Mathematics Education: Applications in Science and Technology (pp. 354–365). Chichester: Horwood Publishing.

    Google Scholar 

  • Galbraith, P.L. & Clatworthy, N.J. (1990). Beyond Standard Models: Meeting the Challenge of Modelling. Educational Studies in Mathematics. 21,2, 137–163.

    Article  Google Scholar 

  • Goldfinch, J., & Goodall, G. (1995). A study of the reliability of a marking scheme for mathematical modelling assignments. In L. Burton & J. Izard (Eds.). Using FACETS to Investigate Innovative Mathematics Assessments (pp. 14–28). Birmingham: Assessment Research Group.

    Google Scholar 

  • Hamson, M. (2001). Mathematical modelling with environmental students. In J. Matos, S.K. Houston, W. Blum, & S. Carreira (Eds). Modelling and Mathematics Education: Applications in Science and Technology (pp. 280–287). Chichester: Horwood Publishing.

    Google Scholar 

  • Haines, C., Izard, J., & Le Masurier, D. (1993). Modelling intentions realised: Assessing the full range of developed skills. In T. Breitag, I. Huntley, & G. Kaiser-Messmer (Eds.). Teaching and Learning Mathematics in Context (pp. 200–212). London: Ellis Horwood.

    Google Scholar 

  • Haines, C., Crouch, R., & Fitzharris, A. (2003). Deconstructing mathematical modelling: approaches to problem solving. In Qi-Xiao Ye, Werner Blum, Ken Houston, & Qi-Yuan Jiang (Eds). Mathematical Modelling in Education and Culture: ICTMA 10 (pp. 41–53). Chichester: Horwood Publishing.

    Google Scholar 

  • HEFCE. (1996). Mathematics learning and assessment: Sharing innovative practices. London: Arnold.

    Google Scholar 

  • Houston, S.K. (1997). Evaluating rating scales for the assessment of posters Some mathematical characteristics of students entering applied mathematics degree courses. In K. Houston, W. Blum, I. Huntley, & N. Neill (Eds.). Teaching and Learning Mathematical Modelling-Innovation, Investigation, and Applications. (pp. 135–148). Chichester: Albion Publishing.

    Google Scholar 

  • Houston, K., & Neill, N. (2003). Assessing modelling skills. In S. Lamon, W. Parker, & K. Houston (Eds.). Mathematical Modelling: A Way of Life (pp. 155–164). Chichester: Horwood Publishing.

    Google Scholar 

  • Izard, J. (1997). Assessment of complex behaviour as expected in mathematical projects and investigations. In K. Houston, W. Blum, I. Huntley, & N. Neill (Eds.). Teaching and Learning Mathematical Modelling-Innovation, Investigation, and Applications. (pp. 109–124). Chichester: Albion Publishing.

    Google Scholar 

  • Izard, J., Haines, C., Crouch, R., Houston, K., & Neill, N. (2003). Assessing the impact of teaching mathematical modelling. In S Lamon, W Parker, & K Houston (Eds). Mathematical Modelling: A Way of Life (pp. 165–178). Chichester: Horwood Publishing.

    Google Scholar 

  • Lingefjard, T., & Holmquist, M. (2001). Mathematical modelling and technology in teacher education — visions and reality. In J. Matos, S.K. Houston, W. Blum, & S. Carreira (Eds). Modelling and Mathematics Education: Applications in Science and Technology (pp. 205–215). Chichester: Horwood Publishing.

    Google Scholar 

  • London McNab, S., Moss, J., Woodruff, E., & Nason, R. (2004). Investigating fairness in ranking Commonwealth games performance: collaborative mathematical modelling in a grade 5/6 classroom. In H-W. Henn, & W. Blum (Eds). ICMI Study 14: Applications and Modelling in Mathematics Education (Pre-conference volume) (pp. 167–174). Dortmund: University of Dortmund.

    Google Scholar 

  • O’Carrol, M., Hudson P., & Yeats, A. (1987). A comprehensive first course in modelling. In J.S. Berry, et al., (Eds.) Mathematical Modelling Courses pp 113–121. Chichester: Ellis Horwood.

    Google Scholar 

  • Pollak, H. (1969). How can we teach applications of mathematics? Educational Studies in Mathematics, 2, 393–404.

    Article  Google Scholar 

  • Stillman, G. (2002). Assessing Higher Order Mathematical Thinking through Applications (PHD thesis). Brisbane: The University of Queensland.

    Google Scholar 

  • Stillman, G. A., & Galbraith, P. L. (2003). Towards constructing a measure of complexity of application tasks. In S. Lamon, W. Parker, & K. Houston (Eds.). Mathematical Modelling: A Way of Life (pp. 179–188). Chichester: Horwood Publishing.

    Google Scholar 

  • Turner, R. (2004). Modelling and Applications in PISA. In H-W. Henn, & W. Blum (Eds). ICMI Study 14: Applications and Modelling in Mathematics Education (Pre-conference volume) (pp.273–278). Dortmund: University of Dortmund.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Galbraith, P. (2007). Beyond the Low Hanging Fruit. In: Blum, W., Galbraith, P.L., Henn, HW., Niss, M. (eds) Modelling and Applications in Mathematics Education. New ICMI Study Series, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-29822-1_6

Download citation

Publish with us

Policies and ethics