Challenges and Strategies in Teaching Linear Algebra

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Stewart, Sepideh (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Andrews-Larson, Christine (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Berman, Avi (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Zandieh, Michelle (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: ICME-13 Monographs,
• Θέματα: Mathematics-Study and teaching .; Teaching.; Mathematics Education.; Teaching and Teacher Education.

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 t...

Πίνακας περιεχομένων:

• 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.