2010

Modeling Students' Mathematical Modeling Competencies

ICTMA 13

ISBN: 978-1-4419-0560-4 (Print) 978-1-4419-0561-1 (Online)

Table of contents (53 chapters)

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  1. Front Matter

    Pages i-xiv

  2. The Nature of Models & Modeling

    1. Front Matter

      Pages 3-3

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      Book Chapter

      Pages 1-2

      Introduction: ICTMA and the Teaching of Modeling and Applications

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      Book Chapter

      Pages 5-10

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

  3. What Are Models?

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-41

      Modeling Theory for Math and Science Education

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      Book Chapter

      Pages 43-59

      Modeling a Crucial Aspect of Students’ Mathematical Modeling

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      Book Chapter

      Pages 61-71

      Modeling Perspectives in Math Education Research

  4. Where Are Models & Modelers Found?

    1. Front Matter

      Pages 73-73

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      Book Chapter

      Pages 75-86

      Modeling to Address Techno-Mathematical Literacies in Work

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      Book Chapter

      Pages 87-98

      Mathematical Modeling in Engineering Design Projects

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      Book Chapter

      Pages 99-108

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

  5. What Do Modeling Processes Look Like?

    1. Front Matter

      Pages 109-109

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      Book Chapter

      Pages 111-118

      Modeling and Quantitative Reasoning: The Summer Jobs Problem

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      Book Chapter

      Pages 119-129

      Tracing Students’ Modeling Processes in School

  6. What Creates The Need For Modeling

    1. Front Matter

      Pages 131-131

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      Book Chapter

      Pages 133-144

      Turning Ideas into Modeling Problems

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      Book Chapter

      Pages 145-154

      Remarks on a Modeling Cycle and Interpreting Behaviours

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      Book Chapter

      Pages 155-166

      Model Eliciting Environments as “Nurseries” for Modeling Probabilistic Situations

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      Book Chapter

      Pages 167-172

      Models as Tools, Especially for Making Sense of Problems

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      Book Chapter

      Pages 173-188

      In-Depth Use of Modeling in Engineering Coursework to Enhance Problem Solving

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      Book Chapter

      Pages 189-198

      Generative Activities: Making Sense of 1098 Functions

  7. How Do Models Develop?

    1. Front Matter

      Pages 199-199

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      Book Chapter

      Pages 201-212

      Modeling the Sensorial Perception in the Classroom

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      Book Chapter

      Pages 213-221

      Assessing a Modeling Process of a Linear Pattern Task

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      Book Chapter

      Pages 223-233

      Single Solution, Multiple Perspectives

  8. How is Modeling Different than Solving?

    1. Front Matter

      Pages 235-235

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      Book Chapter

      Pages 237-243

      Problem Solving Versus Modeling

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