Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms - Couverture souple

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9789400734951: Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms
Couverture souple
ISBN 10 : 9400734956 ISBN 13 : 9789400734951
Editeur : Springer, 2013

Synopsis

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.

Présentation de l'éditeur

Using long-term data gathered on a group of learners focusing their work on a set of combinatorics tasks, this book offers valuable insights into a number of aspects of combinatorics, such as the foundations of proof-building, right up to undergraduate level.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2013
Langue
anglais
ISBN 10 
9400734956
ISBN 13 
9789400734951
Reliure
Broché
Nombre de pages
244
Éditeur
Maher Carolyn A., Powell Arthur B., Uptegrove Elizabeth B.
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9789400706149: Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms

Edition présentée

ISBN 10 :  9400706146 ISBN 13 :  9789400706149
Editeur : Springer, 2011
Couverture rigide