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Challenges and Strategies in Teaching Linear Algebra Softcover reprint of the original 1st ed. 2018 [Pehme köide]

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  • Formaat: Paperback / softback, 382 pages, kõrgus x laius: 235x155 mm, kaal: 605 g, 89 Illustrations, black and white; XIII, 382 p. 89 illus., 1 Paperback / softback
  • Sari: ICME-13 Monographs
  • Ilmumisaeg: 04-Jun-2019
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3319883224
  • ISBN-13: 9783319883229
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  • Formaat: Paperback / softback, 382 pages, kõrgus x laius: 235x155 mm, kaal: 605 g, 89 Illustrations, black and white; XIII, 382 p. 89 illus., 1 Paperback / softback
  • Sari: ICME-13 Monographs
  • Ilmumisaeg: 04-Jun-2019
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3319883224
  • ISBN-13: 9783319883229
Teised raamatud teemal:

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.

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 Factorisationof 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