Mathematical Modelling and Applications

Crossing and Researching Boundaries in Mathematics Education

  • Gloria Ann Stillman
  • Werner Blum
  • Gabriele Kaiser

Table of contents

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

    1. Front Matter
      Pages 23-23
    2. Àngels Aymerich, Núria Gorgorió, Lluís Albarracín
      Pages 37-47
    3. Helen M. Doerr, Jonas B. Ärlebäck, Morten Misfeldt
      Pages 71-81
    4. Peter Galbraith, Gloria Ann Stillman, Jill P. Brown
      Pages 83-94
    5. Nicholas Mousoulides, Marilena Nicolaidou, Maria Evagorou
      Pages 117-127
    6. Bárbara Nilvada Palharini, Emerson Tortola, Lourdes Maria Werle de Almeida
      Pages 129-139
    7. Jacob Perrenet, Bert Zwaneveld, Kees van Overveld, Tijn Borghuis
      Pages 141-152
    8. Milton Rosa, Daniel Clark Orey
      Pages 153-162
    9. Katrin Vorhölter
      Pages 175-185
  3. Researching Boundaries in Mathematical Modelling Education

    1. Front Matter
      Pages 187-187
    2. Richard Cabassut, Irene Ferrando
      Pages 223-232
    3. Dirk De Bock, Nele Veracx, Wim Van Dooren
      Pages 233-242
    4. César Gallart, Irene Ferrando, Lluís M. García-Raffi, Lluís Albarracín, Núria Gorgorió
      Pages 265-275
    5. Gemma Sala Sebastià, Vicenç Font Moll, Joaquim Giménez Rodríguez, Berta Barquero Farràs
      Pages 325-335
  4. Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling and Applications

    1. Front Matter
      Pages 349-349
    2. Hugh Burkhardt, Malcolm Swan
      Pages 351-370
    3. Carolina Guerrero-Ortiz, Jaime Mena-Lorca
      Pages 389-398
    4. Janeen Lamb, Akio Matsuzaki, Akihiko Saeki, Takashi Kawakami
      Pages 411-419
    5. Rina Scott-Wilson, Dirk C. J. Wessels, Helena M. Wessels, Estelle Swart
      Pages 455-465
    6. Peter Stender, Nadine Krosanke, Gabriele Kaiser
      Pages 467-477
    7. Bert Zwaneveld, Jacob Perrenet, Kees van Overveld, Tijn Borghuis
      Pages 503-514
  5. Influences of Technologies on Modelling and Applications

    1. Front Matter
      Pages 515-515
    2. Gilbert Greefrath, Hans-Stefan Siller
      Pages 529-539
    3. Hanti Kotze, Gerrie J. Jacobs, Erica D. Spangenberg
      Pages 541-551

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.


mathematics education real world problems real world modelling early childhood education tertiary education workplace learning teachers of mathematical modelling education assessment educational technologies cognitive processes teacher education

Editors and affiliations

  • Gloria Ann Stillman
    • 1
  • Werner Blum
    • 2
  • Gabriele Kaiser
    • 3
  1. 1.Australian Catholic UniversityBallaratAustralia
  2. 2.University of KasselKasselGermany
  3. 3.University of HamburgHamburgGermany

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Education Education (R0)
  • Print ISBN 978-3-319-62967-4
  • Online ISBN 978-3-319-62968-1
  • Series Print ISSN 2211-4920
  • Series Online ISSN 2211-4939
  • Buy this book on publisher's site