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Modeling Students' Mathematical Modeling Competencies

ICTMA 13

  • Richard Lesh
  • Peter L. Galbraith
  • Christopher R. Haines
  • Andrew Hurford

Table of contents

  1. Front Matter
    Pages i-xiv
  2. The Nature of Models & Modeling

    1. Front Matter
      Pages 3-3
    2. Richard Lesh, Thomas Fennewald
      Pages 5-10
  3. What Are Models?

    1. Front Matter
      Pages 11-11
    2. Christine Larson, Guershon Harel, Michael Oehrtman, Michelle Zandieh, Chris Rasmussen, Robert Speiser et al.
      Pages 61-71
  4. Where Are Models & Modelers Found?

  5. What Do Modeling Processes Look Like?

    1. Front Matter
      Pages 109-109
    2. Nicholas Mousoulides, M. Pittalis, C. Christou, Bharath Sriraman
      Pages 119-129
  6. What Creates “The Need For Modeling”

    1. Front Matter
      Pages 131-131
    2. Peter L. Galbraith, Gloria Stillman, Jill Brown
      Pages 133-144
    3. Christopher R. Haines, Rosalind Crouch
      Pages 145-154
    4. Bob Speiser, Chuck Walter
      Pages 167-172
    5. Renee M. Clark, Larry J. Shuman, Mary Besterfield-Sacre
      Pages 173-188
  7. How Do Models Develop?

    1. Front Matter
      Pages 199-199
    2. Adolf J. I. Riede
      Pages 201-212
    3. Miriam Amit, Dorit Neria
      Pages 213-221
    4. Angeles Dominguez
      Pages 223-233
  8. How is Modeling Different than Solving?

  9. Modeling in School Classrooms

    1. Front Matter
      Pages 273-273
    2. Richard Lesh, Randall Young, Thomas Fennewald
      Pages 275-283
  10. How Can Students Recognize the Need for Modeling?

    1. Front Matter
      Pages 285-285
    2. Paula Guerra, Linda Hernández, Ahyoung Kim, Muhsin Menekse, James Middleton
      Pages 301-312
    3. Roberta Y. Schorr, Yakov M. Epstein, Lisa B. Warner, Cecilia C. Arias
      Pages 313-324
  11. How Do Classroom Modeling Communities Develop?

    1. Front Matter
      Pages 325-325
    2. Brandon Helding, Colleen Megowan-Romanowicz, Tirupalavanam Ganesh, Shirley Fang
      Pages 327-339
    3. M. Colleen Megowan-Romanowicz
      Pages 341-352
    4. Della R. Leavitt, Cynthia M. Ahn
      Pages 353-364
    5. Joneia Cerqueira Barbosa
      Pages 365-372
    6. William Zahner, Judit Moschkovich
      Pages 373-383
  12. How Do Teachers Develop Models of Modeling?

    1. Front Matter
      Pages 421-421
    2. Rita Borromeo Ferri, Werner Blum
      Pages 423-432
    3. Gabriele Kaiser, Björn Schwarz, Silke Tiedemann
      Pages 433-444
    4. Fco. Javier García, Katja Maass, Geoff Wake
      Pages 445-457

About this book

Introduction

As we enter the 21st century, there is an urgent need for new approaches to mathematics education emphasizing its relevance in young learners’ futures. Modeling Students’ Mathematical Modeling Competencies explores the vital trend toward using real-world problems as a basis for teaching mathematics skills, competencies, and applications. Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary? Where can we find them?) and moving through intricate concepts of how students perceive math, how instructors teach—and how both can become better learners. Dispatches as varied as classroom case studies, analyses of math in engineering work, and an in-depth review of modeling-based curricula in the Netherlands illustrate modeling activities on the job, methods of overcoming math resistance, and the movement toward replicable models and lifelong engagement.

A sampling of topics covered:

  • How students recognize the usefulness of mathematics
  • Creating the modeling-oriented classroom
  • Assessing and evaluating students’ modeling capabilities
  • The relationship between modeling and problem-solving
  • Instructor methods for developing their own models of modeling
  • New technologies for modeling in the classroom

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.

Keywords

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

Editors and affiliations

  • Richard Lesh
    • 1
  • Peter L. Galbraith
    • 2
  • Christopher R. Haines
    • 3
  • Andrew Hurford
    • 4
  1. 1.School of EducationIndiana UniversityBloomingtonUSA
  2. 2.Graduate School of EducationUniversity of QueenslandBrisbaneAustralia
  3. 3.Dept. Continuing EducationCity UniversityLondonUnited Kingdom
  4. 4.School of EducationUniversity of UtahSalt Lake CityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-6271-8
  • Copyright Information Springer Science+Business Media Dordrecht 2013
  • Publisher Name Springer, Dordrecht
  • eBook Packages Humanities, Social Sciences and Law
  • Print ISBN 978-94-007-6270-1
  • Online ISBN 978-94-007-6271-8
  • Series Print ISSN 2211-4920
  • Series Online ISSN 2211-4939
  • Buy this book on publisher's site