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Combinatorics and Reasoning - Representing, Justifying and Building Isomorphisms (Hardcover, 2011 ed.)
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Combinatorics and Reasoning - Representing, Justifying and Building Isomorphisms (Hardcover, 2011 ed.)
Series: Mathematics Education Library, 47
Expected to ship within 10 - 15 working days
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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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