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005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310145540.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9789400706156 |
|
978-94-007-0615-6 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
LC8-6691 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
370 |
Edition number |
23 |
264 #1 - |
-- |
Dordrecht : |
-- |
Springer Netherlands, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SHU |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Maher, Carolyn A. |
Relator term |
editor. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Combinatorics and Reasoning |
Medium |
[electronic resource] : |
Remainder of title |
Representing, Justifying and Building Isomorphisms / |
Statement of responsibility, etc |
edited by Carolyn A. Maher, Arthur B. Powell, Elizabeth B. Uptegrove. |
250 ## - EDITION STATEMENT |
Edition statement |
1. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVIII, 226 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Mathematics Education Library ; |
Volume number/sequential designation |
47 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Introduction -- The Longitudinal Study -- Methodology -- Representations as a Tool for Building Arguments -- Building Towers: Justifications Leading to Proof Making -- Making Pizzas: Reasoning by Cases and recursion -- Responding to Ankur's Challenge: Co-construction of Argument Leading to Proof -- Co-construction of Proof -- The Case of Stephanie -- Representations and Connections -- Pizzas, Block Towers, and Binomials -- Generalizing from Pizzas, Towers, Binomial Expansion, and Pascal's Triangle -- Extending and Generalizing the Isomorphism: Towers, Pizzas, Pascal's Triangle, and the Taxicab Problem -- College Students Building Towers and Making Pizzas -- Comparing the Problem Solving of College Students with Longitudinal Study Students -- Conclusions and Suggestions for Practice. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Education. |
|
Topical term or geographic name as entry element |
Combinatorics. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Education. |
|
Topical term or geographic name as entry element |
Mathematics Education. |
|
Topical term or geographic name as entry element |
Combinatorics. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Powell, Arthur B. |
Relator term |
editor. |
|
Personal name |
Uptegrove, Elizabeth B. |
Relator term |
editor. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9789400706149 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-94-007-0615-6 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |