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Synopsis
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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- PublisherSpringer
- Publication date1993
- ISBN 10 0387941045
- ISBN 13 9780387941042
- BindingHardcover
- LanguageEnglish
- Number of pages269
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Learning Abstract Algebra with ISETL (Mathematical Systems; 403)
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Hardcover. Condition: Very Good. No Jacket. Very Good condition hardcover book, no dust jacket. No disc. Slightest shelf wear and smudging to covers. Very slight bumping to corners and spine edges. Slightest sunning to spine. Slightest smudging to text block edges. Pencil marginalia throughout and notes on front end papers. All books are individually inspected and described. Never X-Library unless specifically described as such. Seller Inventory # 2502-9733
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Learning Abstract Algebra with ISETL (Mathematical Systems; 403)
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Learning Abstract Algebra with ISETL (Mathematical Systems; 403)
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Learning Abstract Algebra with ISETL
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Springer-Verlag New York Inc., 1993
ISBN 10: 0387941045
ISBN 13: 9780387941042
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Learning Abstract Algebra with Isetl
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Gebunden. Condition: New. 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. The m. Seller Inventory # 458431640
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Learning Abstract Algebra with Isetl
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Springer New York Dez 1993, 1993
ISBN 10: 0387941045
ISBN 13: 9780387941042
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Buch. Condition: Neu. Neuware - 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. Seller Inventory # 9780387941042
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Learning Abstract Algebra with ISETL (Mathematical Systems; 403)
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Learning Abstract Algebra with ISETL (Mathematical Systems; 403)
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hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_372675019
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Learning Abstract Algebra with ISETL (Mathematical Systems; 403)
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