Proof Technology in Mathematics Research and Teaching (Record no. 101757)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05118nam a22006135i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-030-28483-1 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210116101748.0 |
| 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 | 191002s2019 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783030284831 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-030-28483-1 |
| Source of number or code | doi |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | МУБИС |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | LC8-6691 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | JNU |
| Source | bicssc |
| Subject category code | EDU029010 |
| Source | bisacsh |
| Subject category code | JNU |
| Source | thema |
| Subject category code | PB |
| Source | thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 370 |
| Edition number | 23 |
| 245 10 - TITLE STATEMENT | |
| Title | Proof Technology in Mathematics Research and Teaching |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | edited by Gila Hanna, David A. Reid, Michael de Villiers. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | |
| -- | |
| Date of production, publication, distribution, manufacture, or copyright notice | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | VIII, 379 p. 137 illus., 83 illus. in color. |
| Other physical details | online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematics Education in the Digital Era, |
| International Standard Serial Number | 2211-8136 ; |
| Volume/sequential designation | 14 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 1. Proof technology: Implications for teaching -- Chapter 2. A fully automatic theorem prover with human-style output -- Chapter 3. A common type of rigorous proof that resists Hilbert's programme -- Chapter 4. SMTCoq: Mixing automatic and interactive proof technologies -- Chapter 5. Studying algebraic structures using Prover9 and Mace4 -- Chapter 6. Didactical issues at the interface of mathematics and computer science -- Chapter 7. Issues and challenges in instrumental proof -- Chapter 8. Reasoning by equivalence: the potential contribution of an automatic proof checker -- Chapter 9. Virtual manipulatives and students’ counterexamples during proving -- Chapter 10. Proof technology and learning in mathematics: Common issues and perspectives. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field. . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics—Study and teaching . |
| Topical term or geographic name entry element | Educational technology. |
| Topical term or geographic name entry element | Proof theory. |
| Topical term or geographic name entry element | Critical Thinking. |
| Topical term or geographic name entry element | Teaching. |
| Topical term or geographic name entry element | Mathematics Education. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/O25000 |
| Topical term or geographic name entry element | Technology and Digital Education. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/O47000 |
| Topical term or geographic name entry element | Structures and Proofs. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/M24010 |
| Topical term or geographic name entry element | Critical Thinking. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/O53030 |
| Topical term or geographic name entry element | Teaching and Teacher Education. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/O31000 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Hanna, Gila. |
| Relator term | editor. |
| Relationship | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| Personal name | Reid, David A. |
| Relator term | editor. |
| Relationship | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| Personal name | de Villiers, Michael. |
| Relator term | editor. |
| Relationship | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer Nature eBook |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783030284824 |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783030284848 |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783030284855 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Mathematics Education in the Digital Era, |
| International Standard Serial Number | 2211-8136 ; |
| Volume/sequential designation | 14 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-030-28483-1">https://doi.org/10.1007/978-3-030-28483-1</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Цахим хувилбартай гадаад ном |
No items available.