Combinatorics and reasoning: representing, justifying and building isomorphisms
by Maher, Carolyn A., (Carolyn Alexander) Powell, Arthur B.
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…
Read More ↓Title Statements
- Full title :Combinatorics and reasoning : representing, justifying and building isomorphisms / Carolyn A. Maher, Arthur B. Powell, Elizabeth B. Uptegrove, (ed.).
Summary
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.
Read More ↓Edition Statements
- Publication Date:2010.
Publication Statements
- Publisher(s):Springer
- Place of Publication:New York
- Language:eng
- Publication Date:2010.
The Physical Object
- Description:1 online resource (XVII, 224 p.) : : illustrations
Edition Identifiers
- ISBN:9780387981314, 0387981314, 9780387981321, 0387981322, 9780387981338, 0387981330, 9789400792937, 940079293X
- DOI:10.1007/978-0-387-98132-1
- oclc:ocn707455881
- LC Classification:QA164
- Dewey Decimal:511.6
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Integer Programming and Combinatorial Optimization
Combinatorial games
Combinatorial and geometric group theory
Combinatorics
Files & Downloads
-
Combinatorics and Reasoning: Representing, Justif…
PDF · 3.6 MB · updated -
Combinatorics and Reasoning: Representing, Justif…
PDF · 5.7 MB · updated
Rate & Review