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Challenges and Strategies in Teaching Linear Algebra

  • Book
  • © 2018

Overview

Editors:
  1. Sepideh Stewart

    1. Department of Mathematics, University of Oklahoma, Norman, USA

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  2. Christine Andrews-Larson

    1. College of Education, Florida State University, Tallahassee, USA

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  3. Avi Berman

    1. Department of Mathematics, Technion—Israel Institute of Technology, Haifa, Israel

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  4. Michelle Zandieh

    1. Arizona State University, Mesa, USA

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  • Provides an overview of current research on the nature of difficulties and students’ thought processes in the context of learning linear algebra
  • Discusses the use of technology in teaching and learning linear algebra
  • Offers practical advice on how to improve student engagement in linear algebra courses

Part of the book series: ICME-13 Monographs (ICME13Mo)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xiii
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  3. Analyses of Learners’ Approaches and Resources

    1. Front Matter

      Pages 69-69
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    2. Conceptions About System of Linear Equations and Solution

      • Asuman Oktaç
      Pages 71-101

    3. Rationale for Matrix Multiplication in Linear Algebra Textbooks

      • John Paul Cook, Dov Zazkis, Adam Estrup
      Pages 103-125

    4. Misconceptions About Determinants

      • Cathrine Kazunga, Sarah Bansilal
      Pages 127-145

    5. Dealing with the Abstraction of Vector Space Concepts

      • Lillias H.N. Mutambara, Sarah Bansilal
      Pages 147-173

    6. Stretch Directions and Stretch Factors: A Sequence Intended to Support Guided Reinvention of Eigenvector and Eigenvalue

      • David Plaxco, Michelle Zandieh, Megan Wawro
      Pages 175-192

    7. Examining Students’ Procedural and Conceptual Understanding of Eigenvectors and Eigenvalues in the Context of Inquiry-Oriented Instruction

      • Khalid Bouhjar, Christine Andrews-Larson, Muhammad Haider, Michelle Zandieh
      Pages 193-216

  5. Challenging Tasks with Pedagogy in Mind

    1. Front Matter

      Pages 277-277
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    2. Linear Algebra—A Companion of Advancement in Mathematical Comprehension

      • Damjan Kobal
      Pages 279-298

    3. A Computational Approach to Systems of Linear Equations

      • Franz Pauer
      Pages 299-316

    4. Nonnegative Factorization of a Data Matrix as a Motivational Example for Basic Linear Algebra

      • Barak A. Pearlmutter, Helena Šmigoc
      Pages 317-336
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Keywords

About this book

This book originated from a Discussion Group (Teaching Linear Algebra) that was held at the 13th International Conference on Mathematics Education (ICME-13). The aim was to consider and highlight current efforts regarding research and instruction on teaching and learning linear algebra from around the world, and to spark new collaborations. As the outcome of the two-day discussion at ICME-13, this book focuses on the pedagogy of linear algebra with a particular emphasis on tasks that are productive for learning. 

The main themes addressed include: theoretical perspectives on the teaching and learning of linear algebra; empirical analyses related to learning particular content in linear algebra; the use of technology and dynamic geometry software; and pedagogical discussions of challenging linear algebra tasks. 

Drawing on the expertise of mathematics education researchers and research mathematicians with experience in teaching linear algebra, this book gathers work from nine countries: Austria, Germany, Israel, Ireland, Mexico, Slovenia, Turkey, the USA and Zimbabwe.

Editors and Affiliations

  • Department of Mathematics, University of Oklahoma, Norman, USA

    Sepideh Stewart

  • College of Education, Florida State University, Tallahassee, USA

    Christine Andrews-Larson

  • Department of Mathematics, Technion—Israel Institute of Technology, Haifa, Israel

    Avi Berman

  • Arizona State University, Mesa, USA

    Michelle Zandieh

Bibliographic Information

  • Book Title: Challenges and Strategies in Teaching Linear Algebra

  • Editors: Sepideh Stewart, Christine Andrews-Larson, Avi Berman, Michelle Zandieh

  • Series Title: ICME-13 Monographs

  • DOI: https://doi.org/10.1007/978-3-319-66811-6

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-66810-9Published: 09 February 2018

  • Softcover ISBN: 978-3-319-88322-9Published: 04 June 2019

  • eBook ISBN: 978-3-319-66811-6Published: 01 February 2018

  • Series ISSN: 2520-8322

  • Series E-ISSN: 2520-8330

  • Edition Number: 1

  • Number of Pages: XIII, 382

  • Number of Illustrations: 89 b/w illustrations

  • Topics: Mathematics Education, Teaching and Teacher Education

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