Skip to main content
SpringerLink
Log in

Investigating Pre-service Teachers’ Experiences with the “A4 Paper Format” Modelling Task

  • Chapter
Mathematical Modelling Education in East and West

Abstract

Our research question asks what kinds of educational effects are gained for a group of pre-service mathematics teachers when we address the A4 paper format task from the perspective that mathematical modelling can be used to enrich students’ knowledge both in the real world and in mathematics. Around 60% of the pre-service teachers perceived that they could enrich their knowledge both in the real world and in mathematics, while around 30% were able to anticipate connections to their actual teaching in future. This suggests that pre-service teachers are able to appreciate these dual aims of modelling, that is, modelling can not only enrich students’ ability to solve real-world problems but also deepen their ability to develop further mathematics.

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

Access this chapter

Log in via an institution
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

References

  • Blum, W., & Niss, M. (1991). Applied mathematical problem solving: Modelling, applications, and links to other subjects. Educational Studies in Mathematics, 22, 37–68.

    Article  Google Scholar 

  • Borromeo Ferri, R. (2018). Learning how to teach mathematical modeling in school and teacher education. New York: Springer.

    Google Scholar 

  • Gravemeijer, K. (1999). How emergent models may foster the constitution of formal mathematics. Mathematical Thinking and Learning, 1, 155–177.

    Article  Google Scholar 

  • Ikeda, T., & Stephens, M. (2017). Modelling as interactive translations among plural worlds—Experimental teaching using the night time problem. In G. A. Stillman, W. Blum, & G. Kaiser (Eds.), Mathematical modelling and applications—Crossing and researching boundaries in mathematics education (pp. 349–358). Cham: Springer.

    Google Scholar 

  • Ikeda, T., & Stephens, M. (2020). Using a mathematical modelling activity to assist students to make sense of a limit theorem in trigonometry. In G. A. Stillman, G. Kaiser, & E. Lampen (Eds.), Mathematical modelling education and sense making (pp. 287–298). Cham: Springer.

    Google Scholar 

  • Niss, M. (2015). Prescriptive modelling—Challenges and opportunities. In G. A. Stillman, W. Blum, & M. S. Biembengut (Eds.), Mathematical modelling in education research and practice: Cultural, social and cognitive influences (pp. 67–79). Cham: Springer.

    Chapter  Google Scholar 

  • Stillman, G., & Brown, J. (Eds.). (2019). Lines of inquiry in mathematical modelling research in education. Cham: Springer.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Yokohama National University, Yokohama, Japan

    Toshikazu Ikeda

  2. The University of Melbourne, Melbourne, VIC, Australia

    Max Stephens

Authors
  1. Toshikazu Ikeda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Max Stephens
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Toshikazu Ikeda .

Editor information

Editors and Affiliations

  1. School of Mathematics and Statistics, Southwest University, Chongqing, China

    Frederick Koon Shing Leung

  2. Faculty of Education, The University of Hong Kong, Hong Kong SAR, China

    Frederick Koon Shing Leung

  3. School of Education, Catherine of Siena Centre, Australian Catholic University (Ballarat Campus), Ballarat, VIC, Australia

    Gloria Ann Stillman

  4. Faculty of Education, Didactics of Mathematics, University of Hamburg, Hamburg, Germany

    Gabriele Kaiser

  5. Faculty of Education, The University of Hong Kong, Hong Kong SAR, China

    Ka Lok Wong

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

Ikeda, T., Stephens, M. (2021). Investigating Pre-service Teachers’ Experiences with the “A4 Paper Format” Modelling Task. 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_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-66996-6_25

  • 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

Search

Navigation