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  • Book
  • Open Access
  • © 2019

Lines of Inquiry in Mathematical Modelling Research in Education

  • Addresses applications and modelling in connection with teaching and learning mathematics

  • Presents state-of-the-art research and theory on the teaching and learning of mathematical modelling

  • Reflects international debates on related educational research, teaching, and learning

Part of the book series: ICME-13 Monographs (ICME13Mo)

Buying options

Softcover Book USD 59.99
Price excludes VAT (USA)
Hardcover Book USD 59.99
Price excludes VAT (USA)

Table of contents (13 chapters)

  1. Front Matter

    Pages i-x
  2. Real-World Task Context: Meanings and Roles

    • Jill P. Brown
    Pages 53-81Open Access
  3. Approaches to Investigating Complex Dynamical Systems

    • France Caron
    Pages 83-103Open Access
  4. Precision, Priority, and Proxies in Mathematical Modelling

    • Jennifer A. Czocher
    Pages 105-123Open Access
  5. Teachers as Learners: Engaging Communities of Learners in Mathematical Modelling Through Professional Development

    • Elizabeth W. Fulton, Megan H. Wickstrom, Mary Alice Carlson, Elizabeth A. Burroughs
    Pages 125-142Open Access
  6. Assessing Sub-competencies of Mathematical Modelling—Development of a New Test Instrument

    • Corinna Hankeln, Catharina Adamek, Gilbert Greefrath
    Pages 143-160Open Access
  7. The Influence of Technology on the Mathematical Modelling of Physical Phenomena

    • Miriam Ortega, Luis Puig, Lluís Albarracín
    Pages 161-178Open Access
  8. Modelling Tasks and Students with Mathematical Difficulties

    • Ibtisam Abedelhalek Zubi, Irit Peled, Marva Yarden
    Pages 213-231Open Access
  9. Conclusions and Future Lines of Inquiry in Mathematical Modelling Research in Education

    • Jill P. Brown, Toshikazu Ikeda
    Pages 233-253Open Access
  10. Back Matter

    Pages 255-259

About this book

This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the “balancing act” between developing students’ modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms.

The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators


  • Pedagogical issues of integration into classroom practice
  • assessment of modelling competencies
  • teachers as learners of mathematical modelling
  • technological influences on modelling education
  • managing group interactions in modelling
  • mathematical model
  • modelling problems
  • heuristic strategies
  • teaching mathematical modelling
  • modelling competencies
  • learning mathematics modelling
  • interpretations modelling
  • pedagogical practice and research
  • modelling perspective
  • teaching practices in mathematical modelling
  • Open Access
  • learning and instruction


“I would highly recommend this book for anybody that is involved in mathematics education, as these papers provide a range and scope that can assist both researchers and educators. The unique perspectives brought by each of these articles can greatly help guide future research while also allowing researchers to have a foundation to build upon.” (Deborah Gochenaur, MAA Reviews, May 24, 2020)

Editors and Affiliations

  • Faculty of Education and Arts, Australian Catholic University, Ballarat, Australia

    Gloria Ann Stillman

  • Faculty of Education and Arts, Australian Catholic University, Melbourne, Australia

    Jill P. Brown

Bibliographic Information

  • Book Title: Lines of Inquiry in Mathematical Modelling Research in Education

  • Editors: Gloria Ann Stillman, Jill P. Brown

  • Series Title: ICME-13 Monographs

  • DOI:

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2019

  • License: CC BY

  • Hardcover ISBN: 978-3-030-14930-7Published: 28 May 2019

  • Softcover ISBN: 978-3-030-14933-8Published: 14 August 2020

  • eBook ISBN: 978-3-030-14931-4Published: 16 May 2019

  • Series ISSN: 2520-8322

  • Series E-ISSN: 2520-8330

  • Edition Number: 1

  • Number of Pages: X, 259

  • Number of Illustrations: 33 b/w illustrations, 27 illustrations in colour

  • Topics: Mathematics Education, Instructional Psychology, Teaching and Teacher Education

Buying options

Softcover Book USD 59.99
Price excludes VAT (USA)
Hardcover Book USD 59.99
Price excludes VAT (USA)