Skip to main content

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

Abstract

In this part of the volume, we shall give an introduction both to the field of applications and modelling in mathematics education and to the present volume. In section 1, we present the field of applications and modelling to the mathematics educator who is not a specialist in the field. In Section 2, we explain the basic terms, notions and distinctions in applications and modelling. On this basis, we provide, in Section 3, the conceptualisation of the field adopted in this ICMI Study. This conceptualisation is centred on a number of issues which will be the subject of Section 4. In Section 5, we briefly outline the historical development of applications and modelling in mathematics education. Finally, in Section 6, the structure and organisation of the present book will be described and explained.

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 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.

Similar content being viewed by others

References

  • Berry, J., Burghes, D.N., Huntley, I.D., James, D.G.J, & Moscardini, A.O. (Eds.) (1984). Teaching and Applying Mathematical Modelling. Chichester: Ellis Horwood.

    Google Scholar 

  • Blum, W. et. al., (2002). ICMI Study 14: Applications and Modelling in Mathematics Education — Discussion Document. Educational Studies in Mathematics, 57(1/2), 149–171.

    Article  Google Scholar 

  • Blum, W., & Niss, M (1991). Applied Mathematical Problem Solving, Modelling, Applications, and Links to Other Subjects — State, Trends and Issues in Mathematics Instruction. Educational Studies in Mathematics 22, 37–68.

    Article  Google Scholar 

  • Brown, J.S., Collins, A., & Duguid, P. (1989). Situated cognition and the culture of learning. Educational Researcher 18, 32–42.

    Google Scholar 

  • Cooper, B. (1985). Renegotiating Secondary School Mathematics: A Study of Curriculum Change and Stability. London and Philadelphia: The Falmer Press.

    Google Scholar 

  • De Corte, E., Greer, B., & Verschaffel, L. (1996). Mathematics teaching and learning. In Berliner, D.C., & Calfee, R.C. (Eds.), Handbook of Educational Psychology (pp. 491–549). New York: Macmillan.

    Google Scholar 

  • Freudenthal, H. (1968). Why to Teach Mathematics so as to Be Useful? Educational Studies in Mathematics 1, 3–8.

    Article  Google Scholar 

  • Galbraith, P.L. (1989). Mathematics Education and the Future: A Long Wave View of Change. For the Learning of Mathematics. 8(3), 27–33.

    Google Scholar 

  • Hammersley, J.M. (1968). On the Enfeeblement of Mathematical Skills by “Modern Mathematics” and by Similar Soft Intellectual Trash in Schools and Universities. In Bull. Inst. Math. Appl., 66–85.

    Google Scholar 

  • Kaiser-Messmer, G. (1986). Anwendungen im Mathenatikunterricht, 2 volumes. Bad Salzdetfurth: Franzbecker.

    Google Scholar 

  • Lesh, R.A., & Doerr, H. (Eds.) (2002). Beyond Constructivism: A Models and Modelling Perspective on Teaching, Learning, and Problem Solving in Mathematics Education. Mahwah: Lawrence Erlbaum.

    Google Scholar 

  • Niss, M. (1999). Aspects of the nature and state of research in mathematics education. Educational Studies in Mathematics 40, 1–24

    Article  Google Scholar 

  • Niss, M. (1996). Goals of Mathematics Teaching. In Bishop, A., Clements, K., Keitel, C, Kilpatrick, J., & Laborde, C. (Eds.). International Handbook of Mathematical Education. (pp. 11–47). Dordrecht / Boston / London: Kluwer Academic Publishers.

    Google Scholar 

  • Pollak, H. (1968). On some of the Problems of Teaching Applications of Mathematics. Educational Studies in Mathematics 1, 24–30.

    Article  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

Niss, M., Blum, W., Galbraith, P. (2007). Introduction. 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_1

Download citation

Publish with us

Policies and ethics