Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms

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

Hardcover

Series: Mathematics Education Library, Book 47

General MathematicsTeaching Instruction

ISBN10: 9400706146
ISBN13: 9789400706149
Publisher: Springer
Published: Jan 14 2011
Pages: 226
Weight: 1.14
Height: 0.56 Width: 6.14 Depth: 9.21
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.

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