Skip to main content
  • Book
  • © 2017

Mathematical Modelling and Applications

Crossing and Researching Boundaries in Mathematics Education

  • Covers the most recent work on the teaching and learning of mathematical modelling
  • Showcases the development of the field
  • Discusses mathematical modelling from early childhood to schools and higher education and workplace learning

Buy it now

Buying options

eBook USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
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

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

Table of contents (53 chapters)

  1. Front Matter

    Pages i-xi
  2. New Approaches in Research, Teaching and Practice from Crossing Boundaries

    1. Front Matter

      Pages 23-23
    2. Modelling with Statistical Data: Characterisation of Student Models

      • Àngels Aymerich, Núria Gorgorió, Lluís Albarracín
      Pages 37-47
    3. Representations of Modelling in Mathematics Education

      • Helen M. Doerr, Jonas B. Ärlebäck, Morten Misfeldt
      Pages 71-81
    4. The Primacy of ‘Noticing’: A Key to Successful Modelling

      • Peter Galbraith, Gloria Ann Stillman, Jill P. Brown
      Pages 83-94
    5. A Modelling Perspective in Designing Teacher Professional Learning Communities

      • Nicholas Mousoulides, Marilena Nicolaidou, Maria Evagorou
      Pages 117-127
    6. Mathematical Modelling and Proof by Recurrence: An Analysis from a Wittgensteinian Perspective

      • Bárbara Nilvada Palharini, Emerson Tortola, Lourdes Maria Werle de Almeida
      Pages 129-139
    7. Ethnomodelling as the Mathematization of Cultural Practices

      • Milton Rosa, Daniel Clark Orey
      Pages 153-162
    8. Measuring Metacognitive Modelling Competencies

      • Katrin Vorhölter
      Pages 175-185
  3. Researching Boundaries in Mathematical Modelling Education

    1. Front Matter

      Pages 187-187

About this book

This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Editors and Affiliations

  • Australian Catholic University, Ballarat, Australia

    Gloria Ann Stillman

  • University of Kassel, Kassel, Germany

    Werner Blum

  • University of Hamburg, Hamburg, Germany

    Gabriele Kaiser

Bibliographic Information

Buy it now

Buying options

eBook USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
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