Skip to main content

Mandatory Mathematical Modelling in High School: How to Implement Within and Outside the Classroom to Meet Students’ Diverse Needs

  • Chapter
Mathematical Modelling Education in East and West

Abstract

This chapter focuses on studying the diverse demands of mathematical modelling in secondary schools and strategies to meet those demands under the new curriculum standard. This study analyses students’ learning needs and the horizontal distribution of multidimensional modelling in compulsory conditions. Then, it proposes a corresponding 5-direction modelling courses. It offers a curriculum structure in mathematical modelling suitable for different levels of need, featuring a core ‘three-person study community’ and an ‘echelon system’ for teaching mathematical modelling at higher levels. A learning method of ‘mathematical modelling by item’ has been developed, and satisfactory results have been achieved. A system to evaluate mathematical modelling has been established and applied to daily teaching and the Shanghai Joint Secondary School Mathematical Modelling Activity.

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. (2011). Can modelling be taught and learnt? Some answers from empirical research. Trends in teaching and learning of mathematical modelling (pp. 15–30). Springer.

    Chapter  Google Scholar 

  • Blum, W., & Ferri, R. B. (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. (2007). How do students and teachers deal with modelling problems? Mathematical modelling (pp. 222–231). Horwood Publishing.

    Chapter  Google Scholar 

  • CCSSM. (2010). http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf

  • Ferri, R. B. (2017). Learning how to teach mathematical modelling in school and teacher education. Springer.

    Google Scholar 

  • Frejd, P. (2013). Modes of modelling assessment—A literature review. Educational Studies in Mathematics, 84(3), 413–438.

    Article  Google Scholar 

  • Frejd, P., & Bergsten, C. (2016). Mathematical modelling as a professional task. Educational Studies in Mathematics, 91(1), 11–35.

    Article  Google Scholar 

  • Garfunkel, S., & Montgomery, M. (Eds.). (2016). GAIMME: Guidelines for assessment & instruction in mathematical modelling education. Consortium for Mathematics and Its Applications (COMAP)/Society for Industrial and Applied Mathematics (SIAM).

    Google Scholar 

  • Kaiser, G., & Brand, S. (2015). Modelling competencies: Past development and further perspectives. In Mathematical modelling in education research and practice (pp. 129–149). Springer.

    Google Scholar 

  • Maaß, K. (2006). What are modelling competencies? ZDM, 38(2), 113–142.

    Article  Google Scholar 

  • The Ministry of Education of the People’s Republic of China. (2018). The national standards of mathematics curriculum for regular high school (2017th ed.). People’s Education Press. (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiaming Chen .

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

Chen, X. (2021). Mandatory Mathematical Modelling in High School: How to Implement Within and Outside the Classroom to Meet Students’ Diverse Needs. 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_55

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-66996-6_55

  • 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