On the Teaching of Linear Algebra

• Corporate Author: SpringerLink (Online service)
• Other Authors: Dorier, Jean-Luc (Editor)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2000.
• Series: Mathematics Education Library ; 23
• Subjects: Education.; Epistemology.; Matrix theory.; Algebra.; Functions of complex variables.; Mathematics.; History.; Mathematics > Study and teaching.; Mathematics Education.; History of Mathematical Sciences.; Linear and Multilinear Algebras, Matrix Theory.; Several Complex Variables and Analytic Spaces.

To a large extent, it lies, no doubt, in what is presented in this work under the title of ‘meta lever‘, a method which it is certainly interesting to develop and further refine. There exists in mathematics courses a strange prudery which forbids one to ask questions such as, ‹‹ Why are we doing thi...

Table of Contents:

• Epistemological Analysis of the Genesis of the Theory of Vector Spaces
• Epistemological Analysis of the Genesis of the Theory of Vector Spaces
• Teaching and Learning Issues
• The Obstacle of Formalism in Linear Algebra
• Level of Conceptualization and Secondary School Math Education
• The Teaching Experimented in Lille
• The Meta Lever
• Three Principles of Learning and Teaching Mathematics
• Modes of Description and the Problem of Representation in Linear Algebra
• On Some Aspects of Students’ Thinking in Linear Algebra
• Presentation of Other Research Works.