Volume 10 2007

Modelling and Applications in Mathematics Education

The 14th ICMI Study

ISBN: 978-0-387-29820-7 (Print) 978-0-387-29822-1 (Online)

Table of contents (59 chapters)

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  1. Front Matter

    Pages i-xiv

  2. Introduction

    1. Front Matter

      Pages 1-1

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      Pages 3-32

      Introduction

  3. Plenaries

    1. Front Matter

      Pages 33-33

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      Pages 35-44

      Less Chalk, Less Words, Less Symbols ... More Objects, More Context, More Actions

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      Pages 45-56

      What’s all the Fuss about Competencies?

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      Pages 57-68

      A Theory of Mathematical Modelling in Technological Settings

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      Pages 69-78

      What Knowledge Do Teachers Need for Teaching Mathematics Through Applications and Modelling?

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      Pages 79-88

      Beyond the Low Hanging Fruit

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      Pages 89-98

      Modelling for Life: Mathematics and Children’s Experience

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      Pages 99-108

      Modelling in Lower Secondary Mathematics Classroom — Problems and Opportunities

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      Pages 109-120

      Mathematical Modelling — a Conversation with Henry Pollak

  4. Issues in Applications and Modelling

    1. Front Matter

      Pages 121-121

    2. Epistemology and Modelling

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        Pages 125-128

        Epistemology and Modelling — Overview

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        Pages 129-136

        Modelling Body Motion: an Approach to Functions Using Measuring Instruments

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        Pages 137-144

        Emergent Modelling as a Precursor to Mathematical Modelling

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        Pages 145-152

        Proving and Modelling

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        Pages 153-160

        A Developmental Approach for Supporting the Epistemology of Modeling

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        Pages 161-170

        What is Distinctive in (Our Views about) Models & Modelling Perspectives on Mathematics Problem Solving, Learning, and Teaching?

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        Pages 171-178

        Everyday Instruments: On the Use of Mathematics

      Authenticity and Goals

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        Pages 181-184

        Authenticity and Goals — Overview

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        Pages 185-192

        How to Replace Word Problems with Activities of Realistic Mathematical Modelling

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        Pages 193-200

        The Relevance of Modelling and Applications: Relevant to Whom and for What Purpose?

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        Pages 201-208

        Features and Impact of the Authenticity of Applied Mathematical School Tasks

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