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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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Ed Dubinsky; Uri Leron:
Learning Abstract Algebra with ISETL (Mathematical Systems; 403) - livre d'occasionISBN: 0387941045
ID: 4362899
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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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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ISBN: 9780387941042
ID: 842330317
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
Biblio.com |
1993, ISBN: 9780387941042
ID: 446227084
Springer, 1993-12-14. Hardcover. Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. Expedite Shipping Available., Springer, 1993-12-14
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Auteur: | |
Titre: | Learning Abstract Algebra with Isetl |
ISBN: | 9780387941042 |
Informations détaillées sur le livre - Learning Abstract Algebra with Isetl
EAN (ISBN-13): 9780387941042
ISBN (ISBN-10): 0387941045
Version reliée
Date de parution: 1993
Editeur: SPRINGER VERLAG GMBH
273 Pages
Poids: 0,562 kg
Langue: eng/Englisch
Livre dans la base de données depuis 13.08.2007 04:12:49
Livre trouvé récemment le 21.09.2016 08:15:46
ISBN/EAN: 9780387941042
ISBN - Autres types d'écriture:
0-387-94104-5, 978-0-387-94104-2
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