目次

Part I. Theoretical Perspectives Elaborated through Tasks The Learning and Teaching of Linear Algebra through the Lenses of Intellectual              Need and Epistemological Justification and Their Constituents Guershon Harel         Learning Linear Algebra Using Models and Conceptual Activities   María Trigueros         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 Systems of linear equations – a key element in the learning of Linear Algebra Asuman Oktac  Rationale for Matrix Multiplication in Linear Algebra Textbooks John Paul Cook and Dov Zazkis   An Action Process Object Schema (APOS) analysis of the understanding of determinants of matrices by Zimbabwean undergraduate mathematics students Catherine Kazunga & Sarah Bansilal Difficulties associated with understanding the concept of vector subspace: A case               study of Zimbabwean teachers             Lillias H.N. Mutambara and Sarah Bansilal   Stretch Directions and Stretch Factors: A Sequence Intended to Support Guided Reinvention of Eigenvector and Eigenvalue Stretch Directions and Stretch Factors: A Sequence Intended to Support Guided Reinvention of Eigenvector and Eigenvalue                  David Plaxco, Michelle Zandieh, and Megan Wawro   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 Mental Schemes of Linear Algebra Visual Constructs Hamide Dogan              How DGS mediates students’ reasoning on 3D linear transformations: a combined                   analysis from thinking modes and semiotic perspectives             Melih Turgut                      Fostering Students’ Competences in Linear Algebra with digital Resources             Ana Donevska-Todorova  Part IV.  Challenging tasks with pedagogy in mind                   Linear Algebra-a Companion of Advancement in Mathematical Comprehension                  Damjan Kobal                  An algebraic/computational approach to systems of linear equations in a Linear                    Algebra Course for students of computer science, physics, and mathematics                 Franz Pauer    Nonnegative Factorisation of a Data Matrix as a Motivational Example for Basic Linear Algebra                 Barak A. Pearlmutter & Helena ˇSmigoc                 Motivating Examples, Meaning and Context in Teaching Linear Algebra                 David Strong                  Holistic Teaching and Learning Holistically, exemplified through one example                     from Linear Algebra                 Frank Uhlig                   Using Challenging problems in Teaching Linear Algebra                  Abraham Berman