000			03815cam a2200457 i 4500
001			BRILL9789462098602
003			nllekb
005			20260610105225.0
007			cr un uuuua
008			191130s2014 ne sb 001 0 eng d
020			_a9789462098602 _q(electronic book)
020			_z9789462098589 _q(print)
024	7		_a10.1007/978-94-6209-860-2 _2DOI
035			_a(OCoLC)898893004
040			_aNL-LeKB _cNL-LeKB _erda
050		4	_aQA455
072		7	_aJN _2bicssc
072		7	_aEDU _x000000 _2bisacsh
082	0	4	_a516 _223
100	1		_aGoddijn, Aad, _eauthor.
245	1	0	_aGeometry with Applications and Proofs : _ba Advanced Geometry for Senior High School, Student Text and Background Information / _cAad Goddijn; Martin Kindt; Wolfgang Reuter.
246	3		_aAdvanced Geometry for Senior High School, Student Text and Background Information
264		1	_aLeiden; _aBoston : _bBrill | Sense, _c2014.
300			_a1 online resource
336			_atext _2rdacontent
337			_aunmediated _2rdamedia
338			_aonline resource _2rdacarrier
490	1		_aDutch Design in Mathematics Education ; _v6
490	1		_aEducational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001
505	0	0	_aPreliminary Material -- Geometry between application and proof, a general introduction / _rAad Goddijn -- Geometry, classical topics and new applications / _rMartin Kindt -- Given: circle with butterfly or: how do you learn proving? / _rAad 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			_aThis 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			_aDescription based on print version record.
650		0	_aGeometry.
700	1		_aKindt, Martin, _eauthor.
700	1		_aReuter, Wolfgang, _eauthor.
776	0	8	_iPrint version: _tGeometry with Applications and Proofs: Advanced Geometry for Senior High School, Student Text and Background Information, _dLeiden Boston : Brill | Sense, 2014 _w9789462098589
830		0	_aDutch Design in Mathematics Education ; _v6.
830		0	_aEducational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001.
856	4		_zDOI: _uhttp://dx.doi.org/10.1007/978-94-6209-860-2
999			_c28182 _d28182