Raziskovanje Fermatovega principa z GeoGebro

Abstract

Keywords

Data

Language:	Slovenian
Year of publishing:	2014
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[R. Krese]
UDC:	51(043.2)
COBISS:	10003273
Views:	729
Downloads:	207
Average score:	0 (0 votes)
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Secondary language:	English
Secondary title:	Researching Fermat’s principle with GeoGebra
Secondary abstract:	The following thesis presents the possibilities of using the computer software GeoGebra as an aid for verifying properties and laws when dealing with mathematical and physical problems. First, the thesis provides some basic software features of dynamic geometry. This is followed by a detail presentation of the GeoGebra software’s essential components and functions. Furthermore, possibilities of using the GeoGebra software to perform different functions are presented, as is its classroom implementation with supplying online dynamical classroom worksheets. In detail, the theoretical models of reflection and total reflection, refraction on a flat surface and refraction on a sphere are discussed. For each of the aforementioned instances, online dynamic classroom worksheets are published to help the user verify the theoretical laws in practice using the GeoGebra software.
Secondary keywords:	mathematics;educational software;matematika;didaktična programska oprema;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. Ljubljana, Pedagoška fak., Matematika in tehnika
Pages:	IX, 62 f.
Type (ePrints):	thesis
Title (ePrints):	Raziskovanje Fermatovega principa z GeoGebro
Keywords (ePrints):	Fermat
Keywords (ePrints, secondary language):	Fermat
Abstract (ePrints):	V tem diplomskem delu so predstavljene možnosti uporabe računalniškega programa GeoGebra kot pomoč za dokazovanje lastnosti in zakonitosti pri reševanju nekaterih matematičnih in fizikalnih problemov. Uvodoma je podanih nekaj osnovnih značilnosti programov za dinamično geometrijo, v nadaljevanju pa je natančneje predstavljen program GeoGebra s svojimi bistvenimi sestavinami ter funkcijami. Nadalje so predstavljene možnosti uporabe programa GeoGebra na različnih primerih ter njegova uporaba kot pripomoček pri poučevanju s pomočjo dinamičnih delovnih listov preko spleta. Podrobneje so s teorijo podprti odboj ter popolni odboj svetlobe, lom svetlobe na ravni ploskvi ter odboj svetlobe na sferi. Pri vseh naštetih primerih so na spletu objavljeni dinamični delovni listi, s katerimi lahko uporabnik preverja teoretične dokaze na praktičnem primeru s pomočjo programa GeoGebra.
Abstract (ePrints, secondary language):	The following thesis presents the possibilities of using the computer software GeoGebra as an aid for verifying properties and laws when dealing with mathematical and physical problems. First, the thesis provides some basic software features of dynamic geometry. This is followed by a detail presentation of the GeoGebra software’s essential components and functions. Furthermore, possibilities of using the GeoGebra software to perform different functions are presented, as is its classroom implementation with supplying online dynamical classroom worksheets. In detail, the theoretical models of reflection and total reflection, refraction on a flat surface and refraction on a sphere are discussed. For each of the aforementioned instances, online dynamic classroom worksheets are published to help the user verify the theoretical laws in practice using the GeoGebra software.
Keywords (ePrints, secondary language):	Fermat
ID:	8327950