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Challenges and Strategies in Teaching Linear Algebra

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Table of Contents

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    Book Overview
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    Chapter 1 The Learning and Teaching of Linear Algebra Through the Lenses of Intellectual Need and Epistemological Justification and Their Constituents
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    Chapter 2 Learning Linear Algebra Using Models and Conceptual Activities
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    Chapter 3 Moving Between the Embodied, Symbolic and Formal Worlds of Mathematical Thinking with Specific Linear Algebra Tasks
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    Chapter 4 Conceptions About System of Linear Equations and Solution
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    Chapter 5 Rationale for Matrix Multiplication in Linear Algebra Textbooks
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    Chapter 6 Misconceptions About Determinants
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    Chapter 7 Dealing with the Abstraction of Vector Space Concepts
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    Chapter 8 Stretch Directions and Stretch Factors: A Sequence Intended to Support Guided Reinvention of Eigenvector and Eigenvalue
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    Chapter 9 Examining Students’ Procedural and Conceptual Understanding of Eigenvectors and Eigenvalues in the Context of Inquiry-Oriented Instruction
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    Chapter 10 Mental Schemes of: Linear Algebra Visual Constructs
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    Chapter 11 How Does a Dynamic Geometry System Mediate Students’ Reasoning on 3D Linear Transformations?
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    Chapter 12 Fostering Students’ Competencies in Linear Algebra with Digital Resources
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    Chapter 13 Linear Algebra—A Companion of Advancement in Mathematical Comprehension
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    Chapter 14 A Computational Approach to Systems of Linear Equations
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    Chapter 15 Nonnegative Factorization of a Data Matrix as a Motivational Example for Basic Linear Algebra
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    Chapter 16 Motivating Examples, Meaning and Context in Teaching Linear Algebra
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    Chapter 17 Holistic Teaching and Holistic Learning, Exemplified Through One Example from Linear Algebra
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    Chapter 18 Using Challenging Problems in Teaching Linear Algebra
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