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Learning Abstract Algebra with ISETL - Ed Dubinsky, Uri Leron
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ISBN: 9780387941042

ID: 978038794104

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. Ed Dubinsky, Uri Leron, Books, Science and Nature, Mathematics, Algebra, Learning Abstract Algebra with ISETL Books>Science and Nature>Mathematics>Algebra, Springer New York

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Learning Abstract Algebra with ISETL (Mathematical Systems; 403) - Ed Dubinsky; Uri Leron
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Learning Abstract Algebra with ISETL (Mathematical Systems; 403) - gebrauchtes Buch

ISBN: 0387941045

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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 algebra,algebra and trigonometry,applied,education and reference,mathematics,pure mathematics,science and math,science and math,textbooks Mathematics, Springer

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Learning Abstract Algebra with Isetl - Dubinsky, E. / Leron, Uri / Dubinsky, Ed
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Dubinsky, E. / Leron, Uri / Dubinsky, Ed:
Learning Abstract Algebra with Isetl - gebrauchtes Buch

ISBN: 9780387941042

ID: 1184936

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. Learning Abstract Algebra with Isetl Dubinsky, E. / Leron, Uri / Dubinsky, Ed, Springer

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Learning Abstract Algebra with ISETL - Ed Dubinsky, Uri Leron
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Learning Abstract Algebra with ISETL - gebrauchtes Buch

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Springer. Used - Good. Shows some signs of wear, and may have some markings on the inside. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!, Springer

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Details zum Buch
Learning Abstract Algebra with Isetl
Autor:

Dubinsky, E.; Leron, Uri; Dubinsky, Ed

Titel:

Learning Abstract Algebra with Isetl

ISBN-Nummer:

0387941045

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.

Detailangaben zum Buch - Learning Abstract Algebra with Isetl


EAN (ISBN-13): 9780387941042
ISBN (ISBN-10): 0387941045
Gebundene Ausgabe
Erscheinungsjahr: 1993
Herausgeber: SPRINGER VERLAG GMBH
273 Seiten
Gewicht: 0,562 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 13.08.2007 04:12:49
Buch zuletzt gefunden am 21.09.2016 08:15:46
ISBN/EAN: 0387941045

ISBN - alternative Schreibweisen:
0-387-94104-5, 978-0-387-94104-2

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