MARC details
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05548nam a22005295i 4500 |
| 001 - CONTROL NUMBER |
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978-3-319-70996-3 |
| 003 - CONTROL NUMBER IDENTIFIER |
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DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20191024093348.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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180112s2018 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319709963 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-70996-3 |
| Source of number or code |
doi |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
МУБИС |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
LC8-6691 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
JNU |
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bicssc |
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| Subject category code |
EDU029010 |
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bisacsh |
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JNU |
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thema |
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| Subject category code |
PB |
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thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
370 |
| Edition number |
23 |
| 245 10 - TITLE STATEMENT |
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| Title |
Advances in Mathematics Education Research on Proof and Proving |
| Medium |
[electronic resource] : |
| Remainder of title |
An International Perspective / |
| Statement of responsibility, etc. |
edited by Andreas J. Stylianides, Guershon Harel. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Cham : |
| Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
| -- |
Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2018. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
XI, 301 p. 48 illus. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
ICME-13 Monographs, |
| International Standard Serial Number |
2520-8322 |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface -- Theme 1: Epistemological Issues Related to Proof and Proving -- Chapter 1. Reflections on proof as explanation -- Chapter 2. Working on proofs as contributing to conceptualization - The case of IR completeness -- Chapter 3. Types of epistemological justifications, with particular reference to complex numbers,- Chapter 4. Mathematical argumentation in elementary teacher education: The key role of the cultural analysis of the content -- Chapter 5. Toward an evolving theory of mathematical practice informing pedagogy: What standards for this research paradigm should we adopt? -- Theme 2: Classroom-Based Issues Related to Proof and Proving -- Chapter 6. Constructing and validating the solution to a mathematical problem: The teacher’s prompt -- Chapter 7. Addressing key and persistent problems of students’ learning: The case of proof -- Chapter 8. How can a teacher support students in constructing a proof? -- Chapter 9. Proof validation and modification by example generation: A classroom-based intervention in secondary school geometry -- Chapter 10. Classroom-based issues related to proofs and proving -- Theme 3: Cognitive and Curricular Issues Related to Proof and Proving -- Chapter 11. Mathematical argumentation in pupils’ written dialogues -- Chapter 12. The need for “linearity” of deductive logic: An examination of expert and novice proving processes -- Chapter 13. Reasoning-and-proving in algebra in school mathematics textbooks in Hong Kong -- Chapter 14. Irish teachers' perceptions of reasoning-and-proving amidst a national educational reform -- Chapter 15. About the teaching and learning of proof and proving: Cognitive issues, curricular issues and beyond -- Theme 4: Issues Related to The Use of Examples in Proof and Proving -- Chapter 16. How do pre-service teachers rate the conviction, verification and explanatory power of different kinds of proofs? -- Chapter 17. When is a generic argument a proof? -- Chapter 18. Systematic exploration of examples as proof: Analysis with four theoretical frameworks -- Chapter 19. Using examples of unsuccessful arguments to facilitate students’ reflection on their processes of proving -- Chapter 20. Genericity, conviction, and conventions: Examples that prove and examples that don’t prove. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics. |
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| Topical term or geographic name entry element |
Study Skills. |
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| Topical term or geographic name entry element |
Mathematics Education. |
| Authority record control number or standard number |
http://scigraph.springernature.com/things/product-market-codes/O25000 |
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| Topical term or geographic name entry element |
Teaching and Teacher Education. |
| Authority record control number or standard number |
http://scigraph.springernature.com/things/product-market-codes/O31000 |
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| Topical term or geographic name entry element |
Learning & Instruction. |
| Authority record control number or standard number |
http://scigraph.springernature.com/things/product-market-codes/O22000 |
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| Topical term or geographic name entry element |
Study and Learning Skills. |
| Authority record control number or standard number |
http://scigraph.springernature.com/things/product-market-codes/O53010 |
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| Topical term or geographic name entry element |
International and Comparative Education. |
| Authority record control number or standard number |
http://scigraph.springernature.com/things/product-market-codes/O13000 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Stylianides, Andreas J. |
| Relator term |
editor. |
| Relationship |
edt |
| -- |
http://id.loc.gov/vocabulary/relators/edt |
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| Personal name |
Harel, Guershon. |
| Relator term |
editor. |
| Relationship |
edt |
| -- |
http://id.loc.gov/vocabulary/relators/edt |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9783319709956 |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9783319709970 |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9783319890258 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
ICME-13 Monographs, |
| International Standard Serial Number |
2520-8322 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
https://doi.org/10.1007/978-3-319-70996-3 |
| Link text |
Electronic version-Цахим хувилбар |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Цахим хувилбартай гадаад ном |