05486nam 22005535 450 991029952820332120200703174123.03-319-66811-010.1007/978-3-319-66811-6(CKB)3840000000347553(MiAaPQ)EBC5261508(DE-He213)978-3-319-66811-6(EXLCZ)99384000000034755320180203d2018 u| 0engurcnu||||||||rdacontentrdamediardacarrierChallenges and Strategies in Teaching Linear Algebra[electronic resource] /edited by Sepideh Stewart, Christine Andrews-Larson, Avi Berman, Michelle Zandieh1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (382 pages) illustrationsICME-13 Monographs,2520-83223-319-66810-2 Includes bibliographical references at the end of each chapters and indexes.Contents -- -- 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 -- -- Learning Linear Algebra Using Models and Conceptual Activities -- -- Moving between the embodied, symbolic and formal worlds of mathematical thinking with specific linear algebra tasks -- -- Part II. Analyses of Learners' Approaches and Resources -- Systems of linear equations – a key element in the learning of Linear Algebra -- -- Rationale for Matrix Multiplication in Linear Algebra Textbooks -- -- An Action Process Object Schema (APOS) analysis of the understanding of determinants of matrices by Zimbabwean undergraduate mathematics students -- -- Difficulties associated with understanding the concept of vector subspace: A case study of Zimbabwean teachers -- -- 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 -- -- -- Examining Students' Procedural and Conceptual Understanding of Eigenvectors and Eigenvalues in the Context of Inquiry-Oriented Instruction -- Part III. Dynamic Geometry Approaches -- Mental Schemes of Linear Algebra Visual Constructs -- How DGS mediates students’ reasoning on 3D linear transformations: a combined analysis from thinking modes and semiotic perspectives -- -- Fostering Students’ Competences in Linear Algebra with digital Resources -- Part IV. Challenging tasks with pedagogy in mind -- Linear Algebra-a Companion of Advancement in Mathematical Comprehension -- -- An algebraic/computational approach to systems of linear equations in a Linear Algebra Course for students of computer science, physics, and mathematics -- -- Nonnegative Factorisation of a Data Matrix as a Motivational Example for Basic Linear Algebra -- -- Motivating Examples, Meaning and Context in Teaching Linear Algebra -- -- Holistic Teaching and Learning Holistically, exemplified through one example from Linear Algebra -- -- Using Challenging problems in Teaching Linear Algebra.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. .ICME-13 Monographs,2520-8322Mathematics—Study and teaching TeachingMathematics Educationhttps://scigraph.springernature.com/ontologies/product-market-codes/O25000Teaching and Teacher Educationhttps://scigraph.springernature.com/ontologies/product-market-codes/O31000Mathematics—Study and teaching .Teaching.Mathematics Education.Teaching and Teacher Education.510.71Stewart Sepidehedthttp://id.loc.gov/vocabulary/relators/edtAndrews-Larson Christineedthttp://id.loc.gov/vocabulary/relators/edtBerman Aviedthttp://id.loc.gov/vocabulary/relators/edtZandieh Michelleedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910299528203321Challenges and Strategies in Teaching Linear Algebra2536582UNINA