Skip to main content

Interdiciplinary Problem Oriented Project Work – a Learning Environment for Mathematical Modelling

  • Chapter
  • First Online:
Evaluierte Lernumgebungen zum Modellieren

Part of the book series: Realitätsbezüge im Mathematikunterricht ((REIMA))

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

Access this chapter

eBook
USD 19.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 29.99
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

Notes

  1. 1.

    For a full description, analysis and discussion of the (rather turbulent) history of the establishment and development of the university within the broader context of higher education in Denmark at that time, it’s project pedagogy and it’s study programs, see Andersen and Heilesen (2015).

  2. 2.

    For a thorough description of the bachelor programs at RU and their developments see Blomhøj et al. (2015).

  3. 3.

    A more detailed description of the project work at Nat Bach including analyses of project examples representing the themes for each of the first three semesters can be found in Blomhøj and Kjeldsen (2009) and Kjeldsen and Blomhøj (2013).

  4. 4.

    This format of a project marked is discussed in details in Kjeldsen and Andersen (2015).

  5. 5.

    The students’ project report can be downloaded from http://rudar.ruc.dk/handle/1800/24969.

  6. 6.

    In Blomhøj and Kjeldsen (2006) we describe and analyse how problem oriented project work in mathematical modelling has been implemented on a smaller scale in upper secondary mathematics classrooms in a professional development course for high school mathematics teachers.

References

  • Andersen, A. S., & Heilesen, S. B. (2015). The Roskilde model: problem oriented learning and project work. In A. S. Andersen & S. B. Heilesen (Eds.), Innovation and change in professional education Vol. 12. Dordrecht: Springer.

    Google Scholar 

  • Andersen, A. S., & Kjeldsen, T. H. (2015a). Theoretical foundations of PPL at Roskilde university. In The Roskilde model: problem-oriented learning and project work (pp. 3–16).

    Google Scholar 

  • Andersen, A. S., & Kjeldsen, T. H. (2015b). A critical review of the key concepts in PPL. In The Roskilde model: problem-oriented learning and project work (pp. 17–36).

    Google Scholar 

  • Blomhøj, M., & Højgaard, T. (2007). What’s all the fuss about competences? Experiences with using a competence perspective on mathematics education to develop the teaching of mathematical modelling. In W. Blum, et al. (Ed.), Modelling and applications in mathematics education. The 14th ICMI-study 14. (pp. 45–56). New York: Springer.

    Chapter  Google Scholar 

  • Blomhøj, M., & Kjeldsen, T. H. (2006). Teaching mathematical modelling through project work – experiences from an in-service course for upper secondary teachers. ZDM – International Journal on Mathematics Education, 38(2), 163–177.

    Article  Google Scholar 

  • Blomhøj, M., & Kjeldsen, T. H. (2009). Project organised science studies at university level: exemplarity and interdisciplinarity. ZDM – International Journal on Mathematics Education, 41(1–2), 183–198.

    Article  Google Scholar 

  • Blomhøj, M., & Kjeldsen, T. H. (2010a). Learning mathematics through modelling – the case of the integral concept. In B. Sriraman, C. Bergsten, S. Goodchild, G. Pálsdóttir, B. Dahl & L. Haapasalo (Eds.), The first sourcebook on nordic research in mathematics education (pp. 569–582). Montana: Information Age Publishing.

    Google Scholar 

  • Blomhøj, M., & Kjeldsen, T. H. (2010b). Mathematical modelling as goal in mathematics education – developing of modelling competency through project work. In B. Sriraman, C. Bergsten, S. Goodchild, G. Pálsdóttir, B. Dahl & L. Haapasalo (Eds.), The first sourcebook on nordic research in mathematics education (pp. 555–568). Montana: Information Age Publishing.

    Google Scholar 

  • Blomhøj, M., & Kjeldsen, T. H. (2011). Students’ reflections in mathematical modelling projects. In G. Kaiser, W. Blum, R. Borromeo Ferri & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling. International perspectives on the teaching and learning (pp. 385–396). Dordrecht: Springer.

    Chapter  Google Scholar 

  • Blomhøj, M., & Kjeldsen, T. H. (2013). Students’ mathematical learning in modelling activities. In G. Stillman, G. Kaiser, W. Blum & J. Brown (Eds.), Teaching mathematical modelling: connecting to research and practice. International perspectives on the teaching and learning (pp. 141–151). Dordrecht: Springer.

    Chapter  Google Scholar 

  • Blomhøj, M., Enevoldsen, T., Haldrup, M., & Nielsen, N. M. (2015). The bachelor programs and the Roskilde model. In The Roskilde model: problem-oriented learning and project work (pp. 79–106).

    Google Scholar 

  • Gudemand-Hoeyer, J., & Timmermann, S., et al. (2014). Patient-specific modeling of the neuroendocrine HPA-axies and its relation to depression: Ultradian and circadian oscillations. Mathematical Biosciences, 257, 23–32.

    Article  MathSciNet  MATH  Google Scholar 

  • Illeris, K. (1981). Modkvalificeringens pædagogik [The pedagogy of counter-qualifications. Unge pædagogers skriftserie nr. B 28 [Young Educators’ Publications No. B 28]. Copenhagen: Munksgaard.

    Google Scholar 

  • Kjeldsen, T. H., & Andersen, A. S. (2015). Case analysis of some critical factors in relation to learning outcomes of PPL: the formation of flint. In The Roskilde model: problem-oriented learning and project work (pp. 37–48).

    Google Scholar 

  • Kjeldsen, T. H., & Blomhøj, M. (2013). Developing students’ reflections about the function and status of mathematical modeling in different scientific practices: history as a provider of cases. Science & Education, 22(9), 2157–2171.

    Article  Google Scholar 

  • Niss, M., Blum, W., & Galbraith, P. (2007). Introduction. In W. Blum, et al. (Ed.), Modelling and applications in mathematics education. The 14th ICMI-study 14. (pp. 3–32). New York: Springer.

    Chapter  Google Scholar 

  • Rasmussen, A. A. V., Niebuhr, A. S., Kristensen, A. F., Böttiger, E., Pedersen, S. F., & Larsen, S. M. (2015). Simulering af matematisk model for HPA-aksen. Second semester project at Nat Bach. Roskilde: Roskilde University.

    Google Scholar 

  • Wagenschein, M. (1956). Zum Begriff des Exemplarischen Lehrens. Zeitschrift für Pädagogik, 2(3), 129–153.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Fachmedien Wiesbaden GmbH

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Blomhøj, M., Kjeldsen, T.H. (2018). Interdiciplinary Problem Oriented Project Work – a Learning Environment for Mathematical Modelling. In: Schukajlow, S., Blum, W. (eds) Evaluierte Lernumgebungen zum Modellieren. Realitätsbezüge im Mathematikunterricht. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-20325-2_2

Download citation

Publish with us

Policies and ethics