Modeling Students' Mathematical Modeling Competencies

1. Front Matter

   Pages i-xiv

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2. Introduction: ICTMA and the Teaching of Modeling and Applications

   • Gabriele Kaiser

   Pages 1-2

3. The Nature of Models & Modeling

   1. Front Matter

      Pages 3-3

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4. The Nature of Models & Modeling

   1. Introduction to Part I Modeling: What Is It? Why Do It?

      • Richard Lesh, Thomas Fennewald

      Pages 5-10

5. What Are Models?

   1. Front Matter

      Pages 11-11

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   2. Modeling Theory for Math and Science Education

      • David Hestenes

      Pages 13-41

   3. Modeling a Crucial Aspect of Students’ Mathematical Modeling

      • Mogens Niss

      Pages 43-59

   4. Modeling Perspectives in Math Education Research

      • Christine Larson, Guershon Harel, Michael Oehrtman, Michelle Zandieh, Chris Rasmussen, Robert Speiser et al.

      Pages 61-71

6. Where Are Models & Modelers Found?

   1. Front Matter

      Pages 73-73

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7. Where Are Models & Modelers Found?

   1. Modeling to Address Techno-Mathematical Literacies in Work

      • Richard Noss, Celia Hoyles

      Pages 75-86

   2. Mathematical Modeling in Engineering Design Projects

      • Monica E. Cardella

      Pages 87-98

   3. The Mathematical Expertise of Mechanical Engineers – The Case of Mechanism Design

      • Burkhard Alpers

      Pages 99-108

8. What Do Modeling Processes Look Like?

   1. Front Matter

      Pages 109-109

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   2. Modeling and Quantitative Reasoning: The Summer Jobs Problem

      • Christine Larson

      Pages 111-118

   3. Tracing Students’ Modeling Processes in School

      • Nicholas Mousoulides, M. Pittalis, C. Christou, Bharath Sriraman

      Pages 119-129

9. What Creates “The Need For Modeling”

   1. Front Matter

      Pages 131-131

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10. What Creates “The Need For Modeling”

    1. Turning Ideas into Modeling Problems

       • Peter L. Galbraith, Gloria Stillman, Jill Brown

       Pages 133-144

    2. Remarks on a Modeling Cycle and Interpreting Behaviours

       • Christopher R. Haines, Rosalind Crouch

       Pages 145-154

    3. Model Eliciting Environments as “Nurseries” for Modeling Probabilistic Situations

       • Miriam Amit, Irma Jan

       Pages 155-166

    4. Models as Tools, Especially for Making Sense of Problems

       • Bob Speiser, Chuck Walter

       Pages 167-172

Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

• Modeling and Design
• Modeling and Socio-Cultural Perspectives
• Modeling and Teacher Development
• Modeling in Engineering
• Modeling in High Schools and College
• Modeling in Middle Schools
• Modeling in Primary Grades
• Modeling vs. Traditional Problem Solving
• Research and Assessment Methodologies

• School of Education, Indiana University, Bloomington, USA

  Richard Lesh

• Graduate School of Education, University of Queensland, Brisbane, Australia

  Peter L. Galbraith

• Dept. Continuing Education, City University, London, United Kingdom

  Christopher R. Haines

• School of Education, University of Utah, Salt Lake City, USA

  Andrew Hurford

Policies and ethics