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  • Book
  • Open Access
  • © 2016

Teaching and Learning Mathematical Modelling

Approaches and Developments from German Speaking Countries

  • Assesses different modelling cycles and perspectives on modelling

  • Discusses the role of technology in teaching and learning modelling

  • Showcases empirical research projects on mathematical modelling in German-speaking countries

  • Includes supplementary material:

Part of the book series: ICME-13 Topical Surveys (ICME13TS)

Buying options

Softcover Book USD 19.99
Price excludes VAT (USA)

Table of contents (1 chapter)

  1. Front Matter

    Pages i-vii

About this book

This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.


  • Mathematical Modelling
  • German Modelling Discussion
  • Modelling Competency
  • Implementing Modelling
  • Modelling Cycle
  • Competencies
  • learning and instruction

Authors and Affiliations

  • Institut für Didaktik der Mathematik und der Informatik , Westfälische Wilhelms-Universität Münster, Münster, Germany

    Gilbert Greefrath

  • Fakultät für Erziehungswissenschaft, Universität Hamburg, Hamburg, Germany

    Katrin Vorhölter

Bibliographic Information

  • Book Title: Teaching and Learning Mathematical Modelling

  • Book Subtitle: Approaches and Developments from German Speaking Countries

  • Authors: Gilbert Greefrath, Katrin Vorhölter

  • Series Title: ICME-13 Topical Surveys

  • DOI:

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2016

  • License: CC BY

  • Softcover ISBN: 978-3-319-45003-2Published: 29 August 2016

  • eBook ISBN: 978-3-319-45004-9Published: 20 August 2016

  • Series ISSN: 2366-5947

  • Series E-ISSN: 2366-5955

  • Edition Number: 1

  • Number of Pages: VII, 42

  • Number of Illustrations: 12 b/w illustrations

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

Buying options

Softcover Book USD 19.99
Price excludes VAT (USA)