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Titlebook: Geometry with Applications and Proofs; Advanced Geometry fo Aad Goddijn,Martin Kindt,Wolfgang Reuter Book 2014 SensePublishers-Rotterdam, T

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发表于 2025-3-21 18:19:00 | 显示全部楼层 |阅读模式
书目名称Geometry with Applications and Proofs
副标题Advanced Geometry fo
编辑Aad Goddijn,Martin Kindt,Wolfgang Reuter
视频video
概述Written by experts, Gives a modern approach, Comprehensive in Scope
丛书名称Dutch Design in Mathematics Education
图书封面Titlebook: Geometry with Applications and Proofs; Advanced Geometry fo Aad Goddijn,Martin Kindt,Wolfgang Reuter Book 2014 SensePublishers-Rotterdam, T
描述.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..
出版日期Book 2014
关键词Heuristics; Voronoi diagrams; isodistance lines; proving conjectures; quadrilateral
版次1
doihttps://doi.org/10.1007/978-94-6209-860-2
isbn_ebook978-94-6209-860-2
copyrightSensePublishers-Rotterdam, The Netherlands 2014
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发表于 2025-3-21 22:19:22 | 显示全部楼层
https://doi.org/10.1007/978-94-6209-860-2Heuristics; Voronoi diagrams; isodistance lines; proving conjectures; quadrilateral
发表于 2025-3-22 03:39:55 | 显示全部楼层
Theoretischer und empirischer Hintergrund,The main parts of this book (I–III) make up a course in geometry for secondary education, specially designed for students in the Nature & Technology strand, which prepares students in their last three years of secondary education for studying the sciences or technology at university level.
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发表于 2025-3-22 10:37:56 | 显示全部楼层
SensePublishers-Rotterdam, The Netherlands 2014
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Given: Circle with Butterfly or: How Do You Learn Proving?
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Book 2014in 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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发表于 2025-3-23 04:08:14 | 显示全部楼层
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 co
发表于 2025-3-23 06:08:49 | 显示全部楼层
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