Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms (Mathematics Education Library, 47, Band 47) - Hardcover

Buch 24 von 48: Mathematics Education Library
 
9780387981314: Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms (Mathematics Education Library, 47, Band 47)
Hardcover
ISBN 10: 0387981314 ISBN 13: 9780387981314
Verlag: Springer, 2010

Inhaltsangabe

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.

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Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
0387981314
ISBN 13 
9780387981314
Einband
Gebundene Ausgabe
Anzahl der Seiten
241
Herausgeber
Maher Carolyn A., Powell Arthur B., Uptegrove Elizabeth B.
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9789400706149: Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms (Mathematics Education Library, 47, Band 47)

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