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  • Book
  • © 2007

Modelling and Applications in Mathematics Education

The 14th ICMI Study

Editors:

  1. Werner Blum

    1. University of Kassel, Germany

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  2. Peter L. Galbraith

    1. The University of Queensland, Australia

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  3. Hans-Wolfgang Henn

    1. University of Dortmund, Germany

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  4. Mogens Niss

    1. Roskilde University, Denmark

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  • First volume that summarises the state-of-the art in the field of modelling and application in mathematics education
  • Deals with the question of how key competencies of applications and modelling, at the heart of mathematical literacy, may be developed; with the roles that applications and modelling may play in mathematics teaching, making mathematics more relevant for students
  • Summarises recent research findings in the field of knowledge about the human learning of mathematics
  • Includes supplementary material: sn.pub/extras

Part of the book series: New ICMI Study Series (NISS, volume 10)

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Table of contents (59 chapters)

  1. Front Matter

    Pages i-xiv
    PDF

  2. Introduction

    1. Front Matter

      Pages 1-1
      PDF

    2. Introduction

      • Mogens Niss, Werner Blum, Peter Galbraith
      Pages 3-32

  3. Plenaries

    1. Front Matter

      Pages 33-33
      PDF

    3. What’s all the Fuss about Competencies?

      • Morten Blomhøj, Tomas Højgaard Jensen
      Pages 45-56

    4. A Theory of Mathematical Modelling in Technological Settings

      • Jere Confrey, Alan Maloney
      Pages 57-68

    6. Beyond the Low Hanging Fruit

      • Peter Galbraith
      Pages 79-88

    7. Modelling for Life: Mathematics and Children’s Experience

      • Brian Greer, Lieven Verschaffel, Swapna Mukhopadhyay
      Pages 89-98

  4. Issues in Applications and Modelling

    1. Front Matter

      Pages 121-121
      PDF

    2. Epistemology and Modelling

      2. Modelling Body Motion: an Approach to Functions Using Measuring Instruments
        • Ferdinando Arzarello, Giovanni Pezzi, Ornella Robutti
        Pages 129-136
      4. Proving and Modelling
        • Gila Hanna, Hans Niels Jahnke
        Pages 145-152
      5. A Developmental Approach for Supporting the Epistemology of Modeling
        • Richard Lehrer, Leona Schauble
        Pages 153-160
      7. Everyday Instruments: On the Use of Mathematics
        • Rudolf Strässer
        Pages 171-178
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About this book

Among the themes that have been central to mathematics education dur­ ing the last 30 years are those of mathematical modelling and applications of mathematics to extra-mathematical fields. More generally we refer to these as relations between mathematics and the extra-mathematical world (some­ times also called the "real world") or preferably, according to Henry PoUak, the "rest of the world". That applications and modelling have been important themes in mathematics education can be inferred from the wealth of litera­ ture on these topics, including material generated from a multitude of na­ tional and international conferences. In particular let us mention firstly the ICMEs (the International Congresses on Mathematical Education), with their regular working or topic groups and lectures on applications and modelling; and secondly the series of ICTMAs (the International Conferences on the Teaching of Mathematical Modelling and Applications) which have been held biennially since 1983. Their Proceedings and Survey Lectures, have addressed the state-of-the-art at the relevant time, and contain many exam­ ples, studies, conceptual contributions and resources involving relations between the real world and mathematics, for all levels of the educational system. In curricula and textbooks we find today many more references to real world phenomena and problems than, say, twenty years ago.
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Keywords

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Editors and Affiliations

  • University of Kassel, Germany

    Werner Blum

  • The University of Queensland, Australia

    Peter L. Galbraith

  • University of Dortmund, Germany

    Hans-Wolfgang Henn

  • Roskilde University, Denmark

    Mogens Niss

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Bibliographic Information

  • Book Title: Modelling and Applications in Mathematics Education

  • Book Subtitle: The 14th ICMI Study

  • Editors: Werner Blum, Peter L. Galbraith, Hans-Wolfgang Henn, Mogens Niss

  • Series Title: New ICMI Study Series

  • DOI: https://doi.org/10.1007/978-0-387-29822-1

  • Publisher: Springer New York, NY

  • eBook Packages: Humanities, Social Sciences and Law, Education (R0)

  • Copyright Information: Springer-Verlag US 2007

  • Hardcover ISBN: 978-0-387-29820-7Published: 04 December 2006

  • Softcover ISBN: 978-1-4899-9249-9Published: 20 September 2014

  • eBook ISBN: 978-0-387-29822-1Published: 05 December 2007

  • Series ISSN: 1387-6872

  • Series E-ISSN: 2215-1745

  • Edition Number: 1

  • Number of Pages: XIV, 523

  • Topics: Mathematics Education, Applications of Mathematics

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Access via your institution

Buy it now

eBook USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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