Skip to main content
SpringerLink
Log in
Book cover

Mathematical Modelling in Education Research and Practice

Cultural, Social and Cognitive Influences

  • Book
  • © 2015

Overview

Editors:
  1. Gloria Ann Stillman

    1. Mathematics Education, Australian Catholic University, Ballarat, Australia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Werner Blum

    1. University of Kassel, Kassel, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Maria Salett Biembengut

    1. Pontifical Catholic University of Rio Grande do Sul - PUCRS, Porto Alegre, Brazil

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Presents the latest research and thinking about the teaching, learning of mathematical modelling
  • Discusses the connection between cognitive and cultural/societal aspects in mathematical modelling
  • Showcases research in mathematical modelling in education from the early years of schooling to tertiary education
  • Guide for teachers and researchers to implement modelling and to improve Basic and Teacher Education
  • Includes supplementary material: sn.pub/extras

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

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (50 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Cultural, Social, Cognitive and Research Influences on Mathematical Modelling Education

    • Gloria Ann Stillman, Werner Blum, Maria Salett Biembengut
    Pages 1-32

  3. Innovative Practices in Modelling Education Research and Teaching

    1. Front Matter

      Pages 33-33
      Download chapter PDF

    2. Mathematical Modelling as a Strategy for Building-Up Systems of Knowledge in Different Cultural Environments

      • Ubiratan D’Ambrosio
      Pages 35-44

    3. The Meaning of the Problem in a Mathematical Modelling Activity

      • Lourdes Maria Werle de Almeida, Karina Alessandra Pessoa da Silva
      Pages 45-54

    4. Extending the Reach of the Models and Modelling Perspective: A Course-Sized Research Site

      • Corey Brady, Richard Lesh, Serife Sevis
      Pages 55-66

    5. Prescriptive Modelling – Challenges and Opportunities

      • Mogens Niss
      Pages 67-79

    6. An Approach to Theory Based Modelling Tasks

      • Xenia-Rosemarie Reit, Matthias Ludwig
      Pages 81-91

    7. Facilitating Mathematisation in Modelling by Beginning Modellers in Secondary School

      • Gloria Ann Stillman, Jill P. Brown, Vince Geiger
      Pages 93-104

    8. Authenticity in Extra-curricular Mathematics Activities: Researching Authenticity as a Social Construct

      • Pauline Vos
      Pages 105-113

    9. The Teaching Goal and Oriented Learning of Mathematical Modelling Courses

      • Mengda Wu, Dan Wang, Xiaojun Duan
      Pages 115-125

  4. Research into, or Evaluation of, Teaching and Learning

    1. Front Matter

      Pages 127-127
      Download chapter PDF

    2. Modelling Competencies: Past Development and Further Perspectives

      • Gabriele Kaiser, Susanne Brand
      Pages 129-149

    3. How to Support Teachers to Give Feedback to Modelling Tasks Effectively? Results from a Teacher-Training-Study in the Co2CA Project

      • Michael Besser, Werner Blum, Dominik Leiss
      Pages 151-160

    4. A Reflection on Mathematical Modelling and Applications as a Field of Research: Theoretical Orientation and Diversity

      • Vince Geiger, Peter Frejd
      Pages 161-171

    5. Problem Solving Methods for Mathematical Modelling

      • Gilbert Greefrath
      Pages 173-183

    6. Improving Mathematical Modelling by Fostering Measurement Sense: An Intervention Study with Pre-service Mathematics Teachers

      • Maike Hagena
      Pages 185-194

    7. How Do Students Share and Refine Models Through Dual Modelling Teaching: The Case of Students Who Do Not Solve Independently

      • Takashi Kawakami, Akihiko Saeki, Akio Matsuzaki
      Pages 195-206

    8. Exploring Interconnections Between Real-World and Application Tasks: Case Study from Singapore

      • Kit Ee Dawn Ng, Gloria Ann Stillman
      Pages 207-217

    9. Mathematical Modelling Tasks and the Mathematical Thinking of Students

      • Bárbara Palharini, Lourdes Maria Werle de Almeida
      Pages 219-228
Back to top

Keywords

About this book

In this volume cultural, social and cognitive influences on the research and teaching of mathematical modelling are explored from a variety of theoretical and practical perspectives. The authors of the current volume are all members of the International Community of Teachers of Mathematical Modelling and Applications, the peak research body in this field. A distinctive feature of this volume is the high number of authors from South American countries. These authors bring quite a different perspective to modelling than has been showcased in previous books in this series, in particular from a cultural point of view. As well as recent international research, there is a strong emphasis on pedagogical issues including those associated with technology and assessment, in the teaching and learning of modelling. Applications at various levels of education are exemplified. The contributions reflect common issues shared globally and represent emergent or on-going challenges.

Editors and Affiliations

  • Mathematics Education, Australian Catholic University, Ballarat, Australia

    Gloria Ann Stillman

  • University of Kassel, Kassel, Germany

    Werner Blum

  • Pontifical Catholic University of Rio Grande do Sul - PUCRS, Porto Alegre, Brazil

    Maria Salett Biembengut

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation