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Mathematics Education Library

Combinatorics and Reasoning

Representing, Justifying and Building Isomorphisms

Editors: Maher, Carolyn A., Powell, Arthur B., Uptegrove, Elizabeth B. (Eds.)

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  • Unique Longitudinal research of more than 20 years’ duration
  • Presents compelling evidence of the advantages of using combinatorics in mathematics education
  • Features extensive discussion of mathematical tasks
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eBook $119.00
price for USA in USD (gross)
  • ISBN 978-94-007-0615-6
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  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-94-007-0614-9
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  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
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  • ISBN 978-94-007-3495-1
  • Free shipping for individuals worldwide
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About this book

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.

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-94-007-0615-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-94-007-0614-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-94-007-3495-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Combinatorics and Reasoning
Book Subtitle
Representing, Justifying and Building Isomorphisms
Editors
  • Carolyn A. Maher
  • Arthur B. Powell
  • Elizabeth B. Uptegrove
Series Title
Mathematics Education Library
Series Volume
47
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Netherlands
eBook ISBN
978-94-007-0615-6
DOI
10.1007/978-94-007-0615-6
Hardcover ISBN
978-94-007-0614-9
Softcover ISBN
978-94-007-3495-1
Series ISSN
0924-4921
Edition Number
1
Number of Pages
XVIII, 226
Topics