Combinatorics and Reasoning (Record no. 109888)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03596nam a22004935i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-0-387-98132-1 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220084457.0 |
| 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 | 100702s2010 ne | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387981321 |
| -- | 978-0-387-98132-1 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-0-387-98132-1 |
| 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. |
| 264 #1 - | |
| -- | Dordrecht : |
| -- | Springer Netherlands, |
| -- | 2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XVIII, 224 p. 35 illus. |
| 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, background, and methodology -- The Longitudinal Study -- Methodology -- Foundations of proof building (1989-1996) -- Representations as Tools for Building Arguments -- Towers: Schemes, Strategies, and Arguments -- Building an Inductive Argument -- Making Pizzas: Reasoning by Cases and by Recursion -- Block Towers: From Concrete Objects to Conceptual Imagination -- Making connections, extending, and generalizing (1997-2000) -- Responding to Ankur’s Challenge: Co-construction of Argument Leading to Proof -- Block Towers: Co-construction of Proof -- Representations and Connections -- Pizzas, Towers, and Binomials -- Representations and Standard Notation -- So Let’s Prove It! -- Extending the study, conclusions, and implications -- “Doing Mathematics” from the Learners’ Perspectives -- Adults Reasoning Combinatorially -- Comparing the Problem Solving of College Students with Longitudinal Study Students -- Closing Observations -- Erratum. |
| 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 | 9780387981314 |
| 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/10.1007/978-0-387-98132-1 |
| 912 ## - | |
| -- | ZDB-2-SHU |
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