The Sensual (Quadratic) Form
David Carlson, David C. Lay (Editor), William Watkins (Editor), Charles R. Johnson (Editor), A. Duane PorterBooks.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Synopsis
This book argues that the teaching of elementary linear algebra can be made more effective by emphasizing applications, expositions, and pedagogy.
This volume grew out of the work of the Linear Algebra Curriculum Study Group and the 1993 Special issue on Linear Algebra of the College Mathematics Journal.
Included are the recommendations of the Linear Algebra Curriculum Study Group, with their core syllabus for the first course, and the thoughts of mathematics faculty who have taught linear algebra using these recommendations. It includes elucidation of these ideas, trenchant criticism of them, and a report on putting them into practice.
A valuable resource for anyone teaching linear algebra. This book argues that the teaching of elementary linear algebra can be made more effective by emphasizing applications, exposition, and pedagogy.
* Relevant applications serve as motivation for all students and as sources of stimulating and challenging problems.
* Effective exposition that finds the right way to communicate concepts is especially important in the teaching of linear algebra, often the first course in which students come to grips with abstraction and complexity and with multiple representations of the same idea.
* Attention to pedagogy that takes into account how students learn technology, and new teaching ideas such as cooperative learning can go a long way toward improving the teaching of linear algebra. This attention helps to increase student understanding of the material.
Contains a core syllabus for the first course in linear algebra, and the thoughts of mathematics faculty members who have taught linear algebra using these recommendations.
Booknews
Provides college and high school mathematics teachers with some of the core findings from research into reforming how calculus is taught, emphasizing the importance of application, exposition, and pedagogy. Includes recommendation of the Linear Algebra Curriculum Study Group and elucidation, criticism, and advice from teachers who have used them. No index. Annotation c. by Book News, Inc., Portland, Or.