Teaching Mathematical Modelling: Connecting to Research and Practice

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

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.​

• applicability of mathematical modelling
• innovative practices in mathematical modelling
• mathematical modelling
• pedagogical issues for teaching and learning of modelling
• teaching applications of mathematics
• teaching mathematical modelling
• learning and instruction

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)

• 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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