Skip to main content

Mathematical Modelling in Dutch Lower Secondary Education: An Explorative Study Zooming in on Conceptualization

  • Chapter
Mathematical Modelling Education in East and West

Abstract

In the Netherlands, mathematical modelling has become a major subject in the higher secondary education curriculum. However, it is absent from the greater part of lower secondary education. To improve the vertical coherence in the curriculum, this study explores the mathematical modelling proficiency in both primary school and lower secondary school. Additionally, this study also gains insight into the difficulties that students encounter while solving modelling tasks. The study includes two modelling tasks on three difficulty levels for 248 learners ranging from 11 to 15 years old. At each level, learners encounter difficulties when constructing a meaningful representation of the described modelling problem or may even fail to understand the problem. These representation problems are qualitatively analysed and are shown to be partially related to learners’ language problems.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
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

  • Blum, W., & Borromeo Ferri, R. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45–58.

    Google Scholar 

  • Blum, W., & Leiß, D. (2005). "Filling up"—The problem of independence-preserving teacher interventions in lessons with demanding modelling tasks. In M. Bosch (Ed.), Proceedings of CERME 4 (pp. 1623–1633). Guixol.

    Google Scholar 

  • Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM—Mathematical Education, 38(2), 86–95.

    Google Scholar 

  • Chan, E. C. M., Ng, D. K. E., Widjaja, W., & Seto, C. (2012). Assessment of primary 5 students’ mathematical modelling competencies. Journal of Science and Mathematics Education in Southeast Asia, 35(2), 146–178.

    Google Scholar 

  • Dewolf, T., Van Dooren, W., & Verschaffel, L. (2011). Upper elementary school children’s understanding and solution of a quantitative problem inside and outside the mathematics class. Learning and Instruction, 21(6), 770–780.

    Article  Google Scholar 

  • Galbraith, P. (2006). Real world problems: Developing principles of design. In P. Grootenboer, R. Zevenbergen, & M. Chinnappan (Eds.), Identities, cultures and learning spaces (pp. 229–236). Adelaide: MERGA.

    Google Scholar 

  • Galbraith, P., & Stillman, G. (2001). Assumptions and context: Pursuing their role in modeling activity. In J. Matos, W. Blum, S. K. Houston, & S. P. Carreira (Eds.), Modelling and mathematics education (pp. 300–310). Chichester: Horwood Publishing.

    Chapter  Google Scholar 

  • Kaiser, G., Blomhøj, M., & Sriraman, B. (2006). Towards a didactical theory for mathematical modelling. ZDM —Mathematics Education, 38(2), 82–85.

    Article  Google Scholar 

  • Kaiser, C., & Maaß, K. (2007). Modelling in lower secondary mathematics classroom—Problems and opportunities. In W. Blum, P. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education. The 14th ICMI study, (pp. 99–108). New York: Springer.

    Google Scholar 

  • Korhonen, J., Linnanmäki, K., & Aunio, P. (2012). Language and mathematical performance: A comparison of lower secondary school students with different level of mathematical skills. Scandinavian Journal of Educational Research, 56(3), 333–344.

    Article  Google Scholar 

  • Leiβ, D., Plath, J., & Schwippert, K. (2019). Language and mathematics-key factors influencing the comprehension process in reality-based tasks. Mathematical Thinking and Learning, 21(2), 131–153.

    Article  Google Scholar 

  • Maaβ, K. (2006). What are modelling competencies? ZDM —Mathematics Education, 38(2), 113–142.

    Article  Google Scholar 

  • Plath, J., & Leiss, D. (2018). The impact of linguistic complexity on the solution of mathematical modelling tasks. ZDM —Mathematics Education, 50(1–2), 159–171.

    Article  Google Scholar 

  • Perrenet, J., & Zwaneveld, B. (2012). The many faces of the mathematical modeling cycle. Journal of Mathematical Modelling and Application, 1(6), 3–21.

    Google Scholar 

  • Rellensmann, J., Schukajlow, S., & Leopold, C. (2017). Make a drawing. Effects of strategic knowledge, drawing accuracy, and type of drawing on students’ mathematical modelling performance. Educational Studies in Mathematics, 95(1), 53–78.

    Google Scholar 

  • Seino, T. (2005). Understanding the role of assumption in mathematical modelling: Analysis of lessons with emphasis on ‘the awareness of assumptions.’ In P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonough, R. Pierce, & A. Roche (Eds.), Building connections: Theory, research and practice (pp. 664–671). Sydney: MERGA.

    Google Scholar 

  • Van Eerde, D., & Hajer, M. (2009). The integration of mathematics and language learning in multiethnic schools. In M. César & K. Kumpulainen (Eds.), Social interactions in multicultural settings (pp. 269–296). Rotterdam, Netherlands: Sense Publishers.

    Google Scholar 

Download references

Acknowledgements

This research is funded by The Netherlands Organization for Scientific Research (NWO), number 023.009.047.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sevinç Göksen-Zayim .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Cite this chapter

Göksen-Zayim, S., Pik, D., Dekker, R., van Boxtel, C. (2021). Mathematical Modelling in Dutch Lower Secondary Education: An Explorative Study Zooming in on Conceptualization. In: Leung, F.K.S., Stillman, G.A., Kaiser, G., Wong, K.L. (eds) Mathematical Modelling Education in East and West. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham. https://doi.org/10.1007/978-3-030-66996-6_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-66996-6_19

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-66995-9

  • Online ISBN: 978-3-030-66996-6

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics