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Challenges and Strategies in Teaching Linear Algebra

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Challenges and Strategies in Teaching Linear Algebra/ edited by Sepideh Stewart, Christine Andrews-Larson, Avi Berman, Michelle Zandieh.
其他作者:	Stewart, Sepideh.
面頁冊數:	XIII, 382 p. 89 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematics—Study and teaching . -
電子資源:	https://doi.org/10.1007/978-3-319-66811-6
ISBN:	9783319668116

Challenges and Strategies in Teaching Linear Algebra
Challenges and Strategies in Teaching Linear Algebra[electronic resource] /edited by Sepideh Stewart, Christine Andrews-Larson, Avi Berman, Michelle Zandieh. - 1st ed. 2018. - XIII, 382 p. 89 illus.online resource. - ICME-13 Monographs,2520-8322. - ICME-13 Monographs,.

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. .

ISBN: 9783319668116

Standard No.: 10.1007/978-3-319-66811-6doiSubjects--Topical Terms:

1253684
Mathematics—Study and teaching .

LC Class. No.: LC8-6691

Dewey Class. No.: 370

Challenges and Strategies in Teaching Linear Algebra
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