Learning Abstract Algebra with ISETL

Ed Dubinsky

ISBN 10: 3540941525 / ISBN 13: 9783540941521

Published by Springer, Springer Spektrum Jan 1994, 1994

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -This book is based on the belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities that will establish an experiential base for any future verbal explanations and to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies, as well as on the substantial experience of the authors in teaching Abstract Algebra. The main source of activities in this course is computer constructions, specifically, small programs written in the math-like programming language ISETL; the main tool for reflection is work in teams of two to four students, where the activities are discussed and debated. Because of the similarity of ISETL expressions to standard written mathematics, there is very little programming overhead: learning to program is inseparable from learning the mathematics. Each topic is first introduced through computer activities, which are then followed by a text section and exercises. The text section is written in an informal, discursive style, closely relating definitions and proofs to the constructions in the activities. Notions such as cosets and quotient groups become much more meaningful to the students than when they are presented in a lecture.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 284 pp. Deutsch.

Seller Inventory # 9783540941521

Bibliographic Details

• Title: Learning Abstract Algebra with ISETL
• Publisher: Springer, Springer Spektrum Jan 1994
• Publication Date: 1994
• Language: German
• ISBN 10: 3540941525
• ISBN 13: 9783540941521
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 16D millimeters 235 millimeters width by 155 millimeters height by 16 millimeters depth
• Weight: 435 grams

About this title

Synopsis

This text is based on the belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities that will establish an experiential base for any future verbal explanations and to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies, as well as on the substantial experience of the authors in teaching abstract algebra. The main source of activities in this course is computer constructions; specifically, small programs written in the math-like programming language Isetl. Work is encouraged to take place in teams of two to four students, where the activities are discussed and debated. Each topic is first introduced through computer activities, which are then followed by a text section and exercises. The text section is written in an informal, discursive style, closely relating definitions and proofs to the constructions in the activities.