Combinatiorics and Reasoning at Meripustak

Combinatiorics and Reasoning

Books from same Author: Carolyn A Maher

Books from same Publisher: Springer Velage

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  • General Information  
    Author(s)Carolyn A Maher
    PublisherSpringer Velage
    ISBN9780387981314
    Pages241
    BindingHardcover
    LanguageEnglish
    Publish YearSeptember 2010

    Description

    Springer Velage Combinatiorics and Reasoning by Carolyn A Maher

    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.