e-book Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms

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Combinatorics 11.2 Subgraphs, Complements and Graph Isomorphisms

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Pascal Table Extentions

Email address for updates. My profile My library Metrics Alerts. Sign in. Get my own profile Cited by View all All Since Citations h-index 27 16 iindex 47 Keith Weber Rutgers University Verified email at gse.

Combinatorics and Reasoning

Andrew Brantlinger University of Maryland Verified email at umd. Professor of Mathematics Education, Rutgers University. Articles Cited by Co-authors. 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. Mathematics Education.

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