Geometry with Applications and Proofs : (Record no. 28182)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03815cam a2200457 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | BRILL9789462098602 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | nllekb |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260610105225.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr un uuuua |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191130s2014 ne sb 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789462098602 |
| Qualifying information | (electronic book) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9789462098589 |
| Qualifying information | (print) |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-94-6209-860-2 |
| Source of number or code | DOI |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)898893004 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | NL-LeKB |
| Transcribing agency | NL-LeKB |
| Description conventions | rda |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA455 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | JN |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | EDU |
| Subject category code subdivision | 000000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516 |
| Edition information | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Goddijn, Aad, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Geometry with Applications and Proofs : |
| Remainder of title | a Advanced Geometry for Senior High School, Student Text and Background Information / |
| Statement of responsibility, etc. | Aad Goddijn; Martin Kindt; Wolfgang Reuter. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Advanced Geometry for Senior High School, Student Text and Background Information |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Leiden; |
| -- | Boston : |
| Name of producer, publisher, distributor, manufacturer | Brill | Sense, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2014. |
| 300 ## - online resource | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | unmediated |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Dutch Design in Mathematics Education ; |
| Volume/sequential designation | 6 |
| 490 1# - SERIES STATEMENT | |
| Series statement | Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001 |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preliminary Material -- Geometry between application and proof, a general introduction / |
| Statement of responsibility | Aad Goddijn -- Geometry, classical topics and new applications / |
| -- | Martin Kindt -- Given: circle with butterfly or: how do you learn proving? / |
| -- | Aad Goddijn -- Distances, edges and domains -- Voronoi diagrams -- Reasoning with distances -- Computer practical Voronoi diagrams -- A special quadrilateral -- Exploring isodistance lines -- Shortest paths -- Example solutions -- Worksheets part I -- Thinking in circles and lines -- Using what you know -- The circle scrutinized -- Finding proofs -- Conjectures on screen -- Proving conjectures -- Clues for chapter 3 and 5 -- Conflict lines and reflections -- Preface -- Edge and conflict -- Parabola, ellipse and hyperbola -- Analytic geometry -- Conic sections. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book shows how geometry can be learned by starting with real world problems which are solved by intuition, common sense reasoning and experiments. Gradually the more formal demands of mathematical proofs get their proper place and make it possible to explore new applications. This process helps students to feel the need for precise definitions and procedures, to contribute to the construction of an axiomatic system, and to experience the power of systematic reasoning. The course is designed for students in a Nature & Technology strand which prepares for studying the sciences or technology at university level. Its goal was basically to reintroduce ‘proof’ in a meaningful way in the late 1990s Dutch secondary education curriculum. Following the educational view of the Freudenthal Institute this is not done by stating Euclid’s axioms on page one, but rather a starting point is chosen in students’ intuitions and tentative solutions of problems that are experienced as real and relevant. The photograph on the cover shows students exploring one of the problems from the midpart of the course in the computerlab. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kindt, Martin, |
| Relator term | author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Reuter, Wolfgang, |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Title | Geometry with Applications and Proofs: Advanced Geometry for Senior High School, Student Text and Background Information, |
| Place, publisher, and date of publication | Leiden Boston : Brill | Sense, 2014 |
| Record control number | 9789462098589 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Dutch Design in Mathematics Education ; |
| Volume/sequential designation | 6. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001. |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | DOI: |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-94-6209-860-2">http://dx.doi.org/10.1007/978-94-6209-860-2</a> |
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