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Advancing and Consolidating Mathematical Modelling

Research from ICME-14

  • Considers the importance of exploring relations between mathematics and the real world
  • Recognizes the interplay between research and development of modeling learning environments
  • Observes the value of examining the applications and modeling issues

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xiii
  2. Overview

    1. Front Matter

      Pages 1-1
    2. Advancing Mathematical Modelling and Applications Educational Research and Practice

      • Gilbert Greefrath, Susana Carreira, Gloria Ann Stillman
      Pages 3-19
    3. Survey of Interdisciplinary Aspects of the Teaching and Learning of Mathematical Modelling in Mathematics Education

      • Gloria Ann Stillman, Toshikazu Ikeda, Stanislaw Schukajlow, Jussara de Loiola Araújo, Jonas Bergman Ärlebäck
      Pages 21-41
    4. Diversity of Perspectives on Mathematical Modelling: A Review of the International Landscape

      • Armando Paulino Preciado Babb, Fredy Peña Acuña, Yudi Andrea Ortiz Rocha, Armando Solares Rojas
      Pages 43-57
  3. Mathematical Modelling at University

    1. Front Matter

      Pages 141-141
    2. Validating a Multiple-Choice Modelling Competencies Assessment

      • Jennifer A. Czocher, Sindura Subanemy Kularajan, Elizabeth Roan, Robert Sigley
      Pages 161-176
    3. Seeing the Forest for the Trees: Investigating Students’ Data Moves in a Citizen Science Based Model-Eliciting Activity

      • Jeffrey A. McLean, Corey Brady, Hyunyi Jung, Angeles Dominguez, Aran W. Glancy
      Pages 193-204

About this book

This edited volume presents applications and modelling as a world-renowned sub-field of research in mathematics education. It includes the discussion on students’ development of modelling competency through the teaching of applications and modelling. The teaching of mathematical modelling is considered from different perspectives, such as mathematical, pedagogical-didactical perspectives and critical-societal or socio-political perspectives. Assessment practices (local, regional or international) of modelling activities and difficulties with modelling activities at school and university levels, respectively, are discussed. Use of technology and other resources in modelling activities and their impact on the modelling processes are included in the considerations. Teaching practices, teacher education and professional development programs concerning the integration of applications and modelling in school and university mathematics programs are developedin this context.

Editors and Affiliations

  • Institute for Mathematics Education and Computer Science Education, University of Münster, Münster, Germany

    Gilbert Greefrath

  • University of Algarve and UIDEF, Institute of Education, University of Lisbon, Faro, Portugal

    Susana Carreira

  • Australian Catholic University, Ballarat, Australia

    Gloria Ann Stillman

About the editors

Gilbert Greefrath is Professor of Mathematics Education with a focus on secondary education at the University of Muenster (Germany). After receiving his doctorate in mathematics, he taught at universities in Karlsruhe and Cologne. His research focuses on mathematical modelling, the use of digital mathematical tools, the transition from school to university and the development of test and examination tasks.

 

Susana Carreira is Associate Professor at the University of Algarve and Member of the Research Unit of the Institute of Education of the University of Lisbon, where she collaborates in the supervision of master and doctoral students in mathematics education. Her research activity has been on technologies in mathematics teaching and learning, mathematical modelling and applications, problem solving, mathematical creativity and affect in mathematics education.

 

Gloria Ann Stillman is an Associate Professor of Mathematics Education at Australian Catholic University (Ballarat). She is a highly experienced Lecturer in primary, early childhood and secondary mathematics education. She has authored many publications on the teaching, learning and assessing of mathematical modelling. She is immediate past President of the International Community of Teachers of Mathematical Modelling and Applications and former Vice President (Research) of the Mathematics Education Research Group of Australasia.

Bibliographic Information

  • Book Title: Advancing and Consolidating Mathematical Modelling

  • Book Subtitle: Research from ICME-14

  • Editors: Gilbert Greefrath, Susana Carreira, Gloria Ann Stillman

  • Series Title: International Perspectives on the Teaching and Learning of Mathematical Modelling

  • DOI: https://doi.org/10.1007/978-3-031-27115-1

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-27114-4Published: 19 April 2023

  • Softcover ISBN: 978-3-031-27117-5Due: 11 May 2024

  • eBook ISBN: 978-3-031-27115-1Published: 18 April 2023

  • Series ISSN: 2211-4920

  • Series E-ISSN: 2211-4939

  • Edition Number: 1

  • Number of Pages: XIII, 348

  • Number of Illustrations: 27 b/w illustrations, 34 illustrations in colour

  • Topics: Mathematics Education, Study and Learning Skills, Teaching and Teacher Education

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
This title has not yet been released. You may pre-order it now and we will ship your order when it is published on 11 May 2024.
  • Compact, lightweight edition
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
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

Other ways to access