Learning Abstract Algebra with ISETL

Name: Learning Abstract Algebra with ISETL
Brand: Springer-Verlag New York Inc.
SKU: 9781461276029
Price: 296.84 RON
Availability: InStock

Autor: Ed Dubinsky, Uri Leron

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Legare: Carte broșată

Editura: Springer-Verlag New York Inc.

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296.84 lei

Most students in abstract algebra classes have great difficulty making sense of what the instructor...

Informații despre carte

Autor

Ed Dubinsky, Uri Leron

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2011

Pagini

248

EAN

9781461276029

ISBN

1461276020

Enbook ID

06795323

Editura

Springer-Verlag New York Inc.

Greutate

417

Dimensiuni

155 x 235 x 15

Descriere completă

Most students in abstract algebra classes have great difficulty making sense of what the instructor is saying. Moreover, this seems to remain true almost independently of the quality of the lecture. This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation. No less, they need 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 astract algebra. The main source of activities in this course is computer constructions, specifically, small programs written in the mathlike programming language ISETL; the main tool for reflections is work in teams of 2-4 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. This text section is written in an informed, discusive 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 preseted in a lecture.

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