Combinatorics and Reasoning (Record no. 109334)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03427nam a22005055i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-94-007-0615-6 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083830.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 101124s2011 ne | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789400706156 |
| -- | 978-94-007-0615-6 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-94-007-0615-6 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | LC8-6691 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | JNU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PB |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | EDU029010 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 370 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Maher, Carolyn A. |
| Relator term | editor. |
| 245 10 - TITLE STATEMENT | |
| 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. |
| 264 #1 - | |
| -- | Dordrecht : |
| -- | Springer Netherlands, |
| -- | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XVIII, 226 p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Combinatorics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Education. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics Education. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Combinatorics. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Powell, Arthur B. |
| Relator term | editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| 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 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Mathematics Education Library ; |
| Volume number/sequential designation | 47 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-94-007-0615-6 |
| 912 ## - | |
| -- | ZDB-2-SHU |
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