## Andrews-Larson, Christine

# Challenges and Strategies in Teaching Linear Algebra

**Table of contents**

**Part I. Theoretical Perspectives Elaborated Through Tasks**

1. The Learning and Teaching of Linear Algebra Through the Lenses of Intellectual Need and Epistemological Justification and Their Constituents*Guershon Harel*

2. Learning Linear Algebra Using Models and Conceptual Activities*María Trigueros*

3. Moving Between the Embodied, Symbolic and Formal Worlds of Mathematical Thinking with Specific Linear Algebra Tasks*Sepideh Stewart*

**Part II. Analyses of Learners’ Approaches and Resources**

4. Conceptions About System of Linear Equations and Solution*Asuman Oktaç*

5. Rationale for Matrix Multiplication in Linear Algebra Textbooks*John Paul Cook, Dov Zazkis, Adam Estrup*

6. Misconceptions About Determinants*Cathrine Kazunga, Sarah Bansilal*

7. Dealing with the Abstraction of Vector Space Concepts*Lillias H.N. Mutambara, Sarah Bansilal*

8. Stretch Directions and Stretch Factors: A Sequence Intended to Support Guided Reinvention of Eigenvector and Eigenvalue*David Plaxco, Michelle Zandieh, Megan Wawro*

9. 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*

**Part III. Dynamic Geometry Approaches**

10. Mental Schemes of: Linear Algebra Visual Constructs*Hamide Dogan*

11. How Does a Dynamic Geometry System Mediate Students’ Reasoning on 3D Linear Transformations?*Melih Turgut*

12. Fostering Students’ Competencies in Linear Algebra with Digital Resources*Ana Donevska-Todorova*

**Part IV. Challenging Tasks with Pedagogy in Mind**

13. Linear Algebra—A Companion of Advancement in Mathematical Comprehension*Damjan Kobal*

14. A Computational Approach to Systems of Linear Equations*Franz Pauer*

15. Nonnegative Factorization of a Data Matrix as a Motivational Example for Basic Linear Algebra*Barak A. Pearlmutter, Helena Šmigoc*

16. Motivating Examples, Meaning and Context in Teaching Linear Algebra*David Strong*

17. Holistic Teaching and Holistic Learning, Exemplified Through One Example from Linear Algebra*Frank Uhlig*

18. Using Challenging Problems in Teaching Linear Algebra*Abraham Berman*

**Keywords:** Education, Mathematics Education, Teaching and Teacher Education

- Editor
- Andrews-Larson, Christine
- Berman, Avi
- Stewart, Sepideh
- Zandieh, Michelle
- Publisher
- Springer
- Publication year
- 2018
- Language
- en
- Edition
- 1
- Series
- ICME-13 Monographs
- Category
- Upbringing, Education
- Format
- Ebook
- eISBN (PDF)
- 9783319668116
- Printed ISBN
- 978-3-319-66810-9