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Teaching Mathematical Modelling: Connecting to Research and Practice

  • Book
  • © 2013

Overview

Editors:
  1. Gloria Ann Stillman

    1. Education VIC | Faculty of Education, Australian Catholic University, Ballarat, Australia

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  2. Gabriele Kaiser

    1. Faculty of Education, University of Hamburg, Hamburg, Germany

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    You can also search for this editor in PubMed   Google Scholar

  3. Werner Blum

    1. Department of Mathematics, University of Kassel, Kassel, Germany

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    You can also search for this editor in PubMed   Google Scholar

  4. Jill P. Brown

    1. Education VIC | Faculty of Education, Australian Catholic University, Melbourne, Australia

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    You can also search for this editor in PubMed   Google Scholar

  • Presents examples of modeling and application in business, the environment, industry and everyday practices
  • Presents a broad range of international perspectives on modelling
  • Explores the utility of emerging research perspectives?

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Table of contents (52 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Mathematical Modelling: Connecting to Teaching and Research Practices – The Impact of Globalisation

    • Gloria Ann Stillman, Gabriele Kaiser, Werner Blum, Jill P. Brown
    Pages 1-24

  3. Innovative Practices in Modelling Education Research and Teaching

    1. Front Matter

      Pages 25-25
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    2. From Conference to Community: An ICTMA Journey—The Ken Houston Inaugural Lecture

      • Peter Galbraith
      Pages 27-45

    3. Modelling from the Perspective of Commognition – An Emerging Framework

      • Jonas Bergman Ärlebäck, Peter Frejd
      Pages 47-56

    4. Should Interpretation Systems Be Considered to Be Models if They Only Function Implicitly?

      • Rita Borromeo Ferri, Richard Lesh
      Pages 57-66

    5. Mathematical Modelling, Mathematical Content and Tensions in Discourses

      • Andréia Maria Pereira de Oliveira, Jonei Cerqueira Barbosa
      Pages 67-76

    6. Ethnomodelling as a Methodology for Ethnomathematics

      • Milton Rosa, Daniel Clark Orey
      Pages 77-88

    7. Dual Modelling Cycle Framework for Responding to the Diversities of Modellers

      • Akihiko Saeki, Akio Matsuzaki
      Pages 89-99

    8. The Eyes to See: Theoretical Lenses for Mathematical Modelling Research

      • Nils Buchholtz
      Pages 101-106

    9. Strässer’s Didactic Tetrahedron as a Basis for Theorising Mathematical Modelling Activity Within Social Contexts

      • Vince Geiger
      Pages 107-116

    10. Ethnomodelling as a Research Lens on Ethnomathematics and Modelling

      • Milton Rosa, Daniel Clark Orey
      Pages 117-127

  4. Research into, or Evaluation of, Teaching Practice

    1. Front Matter

      Pages 129-129
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    2. Real-Life Modelling Within a Traditional Curriculum: Lessons from a Singapore Experience

      • Ang Keng Cheng
      Pages 131-140

    3. Students’ Mathematical Learning in Modelling Activities

      • Morten Blomhøj, Tinne Hoff Kjeldsen
      Pages 141-151

    4. Students’ Designing an Ideal Tourism Route as Mathematical Modelling

      • Chan Chun Ming Eric
      Pages 153-163

    5. Comparison of Mathematical Modelling Skills of Secondary and Tertiary Students

      • Juntao Fu, Jinxing Xie
      Pages 165-173

    6. Taking Advantage of Incidental School Events to Engage with the Applications of Mathematics: The Case of Surviving the Reconstruction

      • Vince Geiger, Merrilyn Goos, Shelley Dole
      Pages 175-184

    7. The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project

      • Susanne Grünewald
      Pages 185-194

    8. Evidence of a Dual Modelling Cycle: Through a Teaching Practice Example for Pre-service Teachers

      • Akio Matsuzaki, Akihiko Saeki
      Pages 195-205
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Keywords

About this book

This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives. There is a strong focus on pedagogical issues for teaching and learning of modelling as well as research into teaching and practice. The teaching of applications of mathematics and mathematical modelling from the early years through primary and secondary school and at tertiary level is rising in prominence in many parts of the world commensurate with an ever-increasing usage of mathematics in business, the environment, industry and everyday life. The authors are all members of the International Community of Teachers of Mathematical Modelling and Applications and important researchers in mathematics education and mathematics. The book will be of interest to teachers, practitioners and researchers in universities, polytechnics, teacher education, curriculum and policy.​

Reviews

From the reviews:

“Teaching Mathematical Modelling: Connecting to Research and Practice is a vast collection of international research on teaching mathematical modeling of applied problems. The book explores both pedagogical and teaching practices for the interested reader. The students’ ages range from elementary to secondary schooling years, with a heavy focus on how teachers can use real-world examples in their mathematics classes.” (Peter Olszewski, MAA Reviews, May, 2014)

Editors and Affiliations

  • Education VIC | Faculty of Education, Australian Catholic University, Ballarat, Australia

    Gloria Ann Stillman

  • Faculty of Education, University of Hamburg, Hamburg, Germany

    Gabriele Kaiser

  • Department of Mathematics, University of Kassel, Kassel, Germany

    Werner Blum

  • Education VIC | Faculty of Education, Australian Catholic University, Melbourne, Australia

    Jill P. Brown

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