Combinatorics and Reasoning

Representing, Justifying and Building Isomorphisms

Nonfiction, Science & Nature, Mathematics, Combinatorics, Reference & Language, Education & Teaching, Teaching, Teaching Methods
Cover of the book Combinatorics and Reasoning by , Springer Netherlands
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Author: ISBN: 9780387981321
Publisher: Springer Netherlands Publication: June 29, 2010
Imprint: Springer Language: English
Author:
ISBN: 9780387981321
Publisher: Springer Netherlands
Publication: June 29, 2010
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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