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Combinatorics and Reasoning

Name: Combinatorics and Reasoning
Brand: Springer-Verlag New York Inc.
SKU: 01385396
Price: 118.29 EUR
Availability: InStock
Author: Arthur B. Powell
ISBN: 9780387981314

Representing, Justifying and Building Isomorphisms

Arthur B. Powell

Elizabeth B. Uptegrove

Carolyn A. Maher

Language

English

Book Hardback

Libristo code: 01385396

Publishers Springer-Verlag New York Inc., June 2010

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the acco... Full description

Libristo code: 01385396

290 b

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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.