Challenges and Strategies in Teaching Linear Algebra

التفاصيل البيبلوغرافية
مؤلف مشترك: SpringerLink (Online service)
مؤلفون آخرون: Stewart, Sepideh (المحرر), Andrews-Larson, Christine (المحرر), Berman, Avi (المحرر), Zandieh, Michelle (المحرر)
الملخص:XIII, 382 p. 89 illus.
text
اللغة:الإنجليزية
منشور في: Cham : Springer International Publishing : Imprint: Springer, 2018.
الطبعة:1st ed. 2018.
سلاسل:ICME-13 Monographs,
الموضوعات:
الوصول للمادة أونلاين:https://doi.org/10.1007/978-3-319-66811-6
التنسيق: الكتروني كتاب
جدول المحتويات:
  • 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.