Combinatorics and Reasoning - Representing, Justifying and Building Isomorphisms (Hardcover, 2011 ed.)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics Education Library, 47
Release date:	2011
First published:	2011
Editors:	Carolyn A. Maher • Arthur B. Powell • Elizabeth B. Uptegrove
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Hardcover
Pages:	226
Edition:	2011 ed.
ISBN-13:	978-9400706149
Categories:	Books > Social sciences > Education > Teaching of a specific subject Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Children's & Educational > Mathematics > General Books > Children's Fiction & Fun Books > Academic & Education > Primary & Secondary Education
LSN:	9400706146
Barcode:	9789400706149

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