Geometry with applications and proofs: advanced geometry for senior high school, student text and background information
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Rotterdam
Sense Publishers
2014
|
| Series: | Dutch Design in Mathematics Education (Sense Publishers (Rotterdam, The Netherlands))
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| Subjects: | |
| Online Access: | FAW01 FAW02 |
| Item Description: | Vendor-supplied metadata Online resource; title from PDF title page (SpringerLink, viewed February 26, 2015) |
| Physical Description: | 1 online resource |
| ISBN: | 9789462098602 9462098603 9789462098589 |
Staff View
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| 245 | 1 | 0 | |a Geometry with applications and proofs |b advanced geometry for senior high school, student text and background information |c Aad Goddijn, Martin Kindt and Wolfgang Reuter |
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| 505 | 8 | |a 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 | |
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| contents | 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 |
| ctrlnum | (ZDB-4-EBA)ocn898893004 (OCoLC)898893004 (DE-599)BVBBV043783807 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043783807 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:35:00Z |
| institution | BVB |
| isbn | 9789462098602 9462098603 9789462098589 |
| language | English |
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| publishDate | 2014 |
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| publisher | Sense Publishers |
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| series2 | Dutch Design in Mathematics Education (Sense Publishers (Rotterdam, The Netherlands)) |
| spelling | Goddijn, Aad Verfasser aut Geometry with applications and proofs advanced geometry for senior high school, student text and background information Aad Goddijn, Martin Kindt and Wolfgang Reuter Rotterdam Sense Publishers 2014 1 online resource txt rdacontent c rdamedia cr rdacarrier Dutch Design in Mathematics Education (Sense Publishers (Rotterdam, The Netherlands)) Vendor-supplied metadata Online resource; title from PDF title page (SpringerLink, viewed February 26, 2015) 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 Geometry fast MATHEMATICS / Geometry / General bisacsh Geometry Textbooks Geometry Problems, exercises, etc Kindt, Martin Sonstige oth Reuter, Wolfgang Sonstige oth |
| spellingShingle | Goddijn, Aad Geometry with applications and proofs advanced geometry for senior high school, student text and background information 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 Geometry fast MATHEMATICS / Geometry / General bisacsh Geometry Textbooks Geometry Problems, exercises, etc |
| title | Geometry with applications and proofs advanced geometry for senior high school, student text and background information |
| title_auth | Geometry with applications and proofs advanced geometry for senior high school, student text and background information |
| title_exact_search | Geometry with applications and proofs advanced geometry for senior high school, student text and background information |
| title_full | Geometry with applications and proofs advanced geometry for senior high school, student text and background information Aad Goddijn, Martin Kindt and Wolfgang Reuter |
| title_fullStr | Geometry with applications and proofs advanced geometry for senior high school, student text and background information Aad Goddijn, Martin Kindt and Wolfgang Reuter |
| title_full_unstemmed | Geometry with applications and proofs advanced geometry for senior high school, student text and background information Aad Goddijn, Martin Kindt and Wolfgang Reuter |
| title_short | Geometry with applications and proofs |
| title_sort | geometry with applications and proofs advanced geometry for senior high school student text and background information |
| title_sub | advanced geometry for senior high school, student text and background information |
| topic | Geometry fast MATHEMATICS / Geometry / General bisacsh Geometry Textbooks Geometry Problems, exercises, etc |
| topic_facet | Geometry MATHEMATICS / Geometry / General Geometry Textbooks Geometry Problems, exercises, etc |
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