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The Golden Section
Chmelíková, Vlasta ; Šarounová, Alena (advisor) ; Hromadová, Jana (referee)
This text has been written especially as an educational material for secondary school teachers of mathematics and despriptive geometry, however it can be interesting also for students of secondary schools and universities and for another persons interested in problems of the golden section. The thesis includes a calculation and properties of the golden number, several construction methods of the golden section, its occurence and use in plane and solid geometry, history of the golden section and its connections with art, architecture, nature, psychology, etc. In addition, there are added examples from older textbooks and proposals of the jobsheets for improvement of the mathematics lessons.
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The Golden Section
Chmelíková, Vlasta ; Hromadová, Jana (referee) ; Šarounová, Alena (advisor)
This text has been written especially as an educational material for secondary school teachers of mathematics and despriptive geometry, however it can be interesting also for students of secondary schools and universities and for another persons interested in problems of the golden section. The thesis includes a calculation and properties of the golden number, several construction methods of the golden section, its occurence and use in plane and solid geometry, history of the golden section and its connections with art, architecture, nature, psychology, etc. In addition, there are added examples from older textbooks and proposals of the jobsheets for improvement of the mathematics lessons.
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Golden Section
Chmelíková, Vlasta ; Bečvářová, Martina (referee) ; Šarounová, Alena (advisor)
Nazev prace: /laty fez Aulor: Vlasta Chmelikova Katedra: Didaktiky matemaliky Vedouci bakalafske prace: PhDr. Alcna Sarounova, CSc., Katedra didaktiky matematiky Matematieko-fyzikalni takulty Univerzity Karlovy v Praze. Sokolovska 83, Praha 8 e-mail vedoucihu: sarounov(o)karlin.mlT.euni.cz Abstrakt: Tenlo text je urcen vsem zajemcum z fad siroke vefejnosti, pfedevsfm vsak jako vzdelavaci material pro ucitcle matemaliky a dcskriptivni geometric na stfednich skolach. Prace zahrnuje postupy konstrukci zlateho fezu, vypocet zlateho cisla a jeho vlastnosti. Dale uka/uje souvislost zlateho cisla s Fibonacciho posloupnosti a pfiklady vyskytu zlateho fczu v rovinne geomelrii a v platonskych telesech. Text je doplnen nazornymi obrazky, vetsina z nich byla vytvofena v aplikaci DesignCAD. Vlastnosti zlateho cisla a rovinne konstrukce jsou uvcdcny vcetne podrobnych dukazu. Klicova slova: Zlaty fez, zlate cislo, platonska telesa, Fibonacciho posloupnost Title: The Golden Section Author: Vlasta Chmelikova Department: Didactics ofmathcmaties Supervisor: PhDr. Alena Sarounova, CSc., Katedra didaktiky matematiky Malematicko-fyzikalni fakulty UniverzityKarlovy v Praze. Sokolovska 83, Praha 8 Supervisor's e-mail adress: sarounov(S)karlin.mtT.euni.cz Abstract: This texl is especially intended as an educational material for...
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