Challenges and strategies in teaching linear algebra

著者

• Stewart, Sepideh
• Andrews-Larson, Christine
• Berman, Avi
• Zandieh, Michelle

書誌事項

Challenges and strategies in teaching linear algebra

editors, Sepideh Stewart ... [et al]

（ICME-13 monographs / Series editor Gabriele Kaiser）

Springer, c2018

注記

Other edtors: Christine Andrews-Larson, Avi Berman, Michelle Zandieh

Includes bibliographical refrences and indexes

内容説明・目次

内容説明

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.

目次

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 Guershon Harel Learning Linear Algebra Using Models and Conceptual Activities Maria Trigueros Moving between the embodied, symbolic and formal worlds of mathematical thinking with specific linear algebra tasks Sepideh Stewart Part II. Analyses of Learners' Approaches and Resources Systems of linear equations - a key element in the learning of Linear Algebra Asuman Oktac Rationale for Matrix Multiplication in Linear Algebra Textbooks John Paul Cook and Dov Zazkis An Action Process Object Schema (APOS) analysis of the understanding of determinants of matrices by Zimbabwean undergraduate mathematics students Catherine Kazunga & Sarah Bansilal Difficulties associated with understanding the concept of vector subspace: A case study of Zimbabwean teachers Lillias H.N. Mutambara and Sarah Bansilal 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 David Plaxco, Michelle Zandieh, and Megan Wawro Examining Students' Procedural and Conceptual Understanding of Eigenvectors and Eigenvalues in the Context of Inquiry-Oriented Instruction Khalid Bouhjar, Christine Andrews-Larson, Muhammad Haider, & Michelle Zandieh Part III. Dynamic Geometry Approaches Mental Schemes of Linear Algebra Visual Constructs Hamide Dogan How DGS mediates students' reasoning on 3D linear transformations: a combined analysis from thinking modes and semiotic perspectives Melih Turgut Fostering Students' Competences in Linear Algebra with digital Resources Ana Donevska-Todorova Part IV. Challenging tasks with pedagogy in mind Linear Algebra-a Companion of Advancement in Mathematical Comprehension Damjan Kobal An algebraic/computational approach to systems of linear equations in a Linear Algebra Course for students of computer science, physics, and mathematics Franz Pauer Nonnegative Factorisation of a Data Matrix as a Motivational Example for Basic Linear Algebra Barak A. Pearlmutter & Helena Smigoc Motivating Examples, Meaning and Context in Teaching Linear Algebra David Strong Holistic Teaching and Learning Holistically, exemplified through one example from Linear Algebra Frank Uhlig Using Challenging problems in Teaching Linear Algebra Abraham Berman

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB25629361
• ISBN:
  • 9783319668109
• 出版国コード: sz
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: [Cham]
• ページ数/冊数: xiii, 382 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BB2472528X