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    1. Naturvetenskap och teknik
    2. Matematik och naturvetenskap
    3. Matematik
    4. Algebra

    Challenges and Strategies in Teaching Linear Algebra

    AvSepideh Stewart,Christine Andrews-Larson

    Häftad, Engelska, 2019

    Del i serien ICME-13 Monographs

    1 086 kr

    Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

    Beskrivning

    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.

    Produktinformation

    • Utgivningsdatum:2019-06-04
    • Mått:155 x 235 x 22 mm
    • Vikt:598 g
    • Format:Häftad
    • Språk:Engelska
    • Serie:ICME-13 Monographs
    • Antal sidor:382
    • Förlag:Springer International Publishing AG
    • ISBN:9783319883229

    Utforska kategorier

    • Algebra inom Naturvetenskap och teknik
    • Lärarutbildning inom Psykologi och pedagogik
    • Undervisning i specifika ämnen inom Psykologi och pedagogik

    Innehållsförteckning

    • 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