Combinatorics and Reasoning - Representing, Justifying and Building Isomorphisms

Combinatorics and Reasoning - Representing, Justifying and Building Isomorphisms

von: Carolyn A. Maher, Arthur B. Powell, Elizabeth B. Uptegrove

Springer-Verlag, 2010

ISBN: 9789400706156 , 226 Seiten

Format: PDF, OL

Kopierschutz: Wasserzeichen

Windows PC,Mac OSX Apple iPad, Android Tablet PC's Online-Lesen für: Windows PC,Mac OSX,Linux

Preis: 130,89 EUR

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Combinatorics and Reasoning - Representing, Justifying and Building Isomorphisms


 

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.