Modelling and Applications in Mathematics Education

The 14th ICMI Study

  • Werner Blum
  • Peter L. Galbraith
  • Hans-Wolfgang Henn
  • Mogens Niss

Part of the New ICMI Study Series book series (NISS, volume 10)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Mogens Niss, Werner Blum, Peter Galbraith
      Pages 3-32
  3. Plenaries

    1. Front Matter
      Pages 33-33
    2. Morten Blomhøj, Tomas Højgaard Jensen
      Pages 45-56
    3. Jere Confrey, Alan Maloney
      Pages 57-68
    4. Peter Galbraith
      Pages 79-88
    5. Brian Greer, Lieven Verschaffel, Swapna Mukhopadhyay
      Pages 89-98
  4. Issues in Applications and Modelling

    1. Front Matter
      Pages 121-121
    2. Epistemology and Modelling

      1. Jere Confrey
        Pages 125-128
      2. Ferdinando Arzarello, Giovanni Pezzi, Ornella Robutti
        Pages 129-136
      3. Gila Hanna, Hans Niels Jahnke
        Pages 145-152
      4. Richard Lehrer, Leona Schauble
        Pages 153-160
      5. Rudolf Strässer
        Pages 171-178
    3. Authenticity and Goals

    4. Modelling Competencies

      1. Brian Greer, Lieven Verschaffel
        Pages 219-224
      2. Herbert Henning, Mike Keune
        Pages 225-232
    5. Applications & Modelling for Mathematics

      1. Eric Muller, Hugh Burkhardt
        Pages 267-274
      2. Malcolm Swan, Ross Turner, Caroline Yoon, Eric Muller
        Pages 275-284
      3. Lynn Arthur Steen, Ross Turner, Hugh Burkhardt
        Pages 285-294
      4. Soeren Antonius, Chris Haines, Tomas Højgaard Jensen, Mogens Niss, Hugh Burkhardt
        Pages 295-308
      5. Daniel Pead, Bill Ralph, Eric Muller
        Pages 309-318
    6. Modelling Pedagogy

    7. Implementation and Practice

    8. Assessment and Evaluation

      1. Peter Galbraith
        Pages 405-408
      2. Søren Antonius
        Pages 409-416
      3. Christopher Haines, Rosalind Crouch
        Pages 417-424

About this book


The overall goal of Modelling and Applications in Mathematics Education is to provide a comprehensive overview of the state-of-the-art in the field of modelling and applications in mathematics education. Key issues are dealt with, among which are the following:

Epistemology and the relationships between mathematics and the "rest of the world"; the meaning of mathematical modelling and its process components; the respect in which the distinction between pure mathematics and applications of mathematics make sense

Authenticity and Goals dealing with modelling and applications in mathematics teaching; appropriate balance between modelling activities and other mathematical activities; the role that authentic problem situations play in modelling and applications activities

Modelling Competencies: characterizing how a student's modelling competency can be characterized; identifiable sub-competencies, and the ways they constitute a general modelling competency; developing competency over time

Mathematical Competencies: identifying the most important mathematical competencies that students should acquire, and how modelling and applications activities can contribute toward building up these competencies; the meaning of "Mathematical Literacy" in relation to modelling

Modelling Pedagogy: appropriate pedagogical principles and strategies for the development of modelling courses and their teaching; the role of technology in the teaching of modelling and applications

Implementation and Practice: the role of modelling and applications in everyday mathematics teaching; major impediments and obstacles; advancing the use of modelling examples in everyday classrooms; documenting successful implementation of modelling in mathematics teaching

Assessment and Evaluation: assessment modes that capture the essential components of modelling competency; modes available for modelling and applications courses and curricula; appropriate strategies to implement new assessment and evaluation modes in practice

The contributing authors are eminent members of the mathematics education community. Modelling and Applications in Mathematics Education will be of special interest to mathematics educators, teacher educators, researchers, education administrators, curriculum developers and student teachers.


ICMI Mathematics Modelling NISS evaluation mathematics education statistics

Editors and affiliations

  • Werner Blum
    • 1
  • Peter L. Galbraith
    • 2
  • Hans-Wolfgang Henn
    • 3
  • Mogens Niss
    • 4
  1. 1.University of KasselGermany
  2. 2.The University of QueenslandAustralia
  3. 3.University of DortmundGermany
  4. 4.Roskilde UniversityDenmark

Bibliographic information