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Platonic and Archimedean solids and their properties in teaching of mathematics at secondary schools
Dohnalová, Eva ; Robová, Jarmila (advisor) ; Halas, Zdeněk (referee)
Title: Platonic and Archimedean solids and their properties in teaching of mathematics at secondary schools Author: Eva Dohnalová Department: Department of Didactics of Mathematics Supervisor: doc. RNDr. Jarmila Robová, CSc. Abstract: This work is an extension of my bachelor work and it is intended for all people interested in regular and semiregular polyhedra geometry. It is a comprehensive text which summarizes brief history, description and classification of regular and semiregular polyhedra. The work contains proofs of Descartes' and Euler's theorems and proofs about number of regular and semiregular polyhedra. It can be also used as a didactic aid in the instruction of regular and semiregular solids at secondary schools. This text is supplemented by illustrative pictures made in GeoGebra and Cabri3D. Keywords: Regular polyhedra, platonic solids, Platon, semiregular polyhedra, Archimedean solids, Archimedes, dulaism, Descartes' theorem, Euler's theorem.
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Regular polyhedra and their properties
Pavlovičová, Eva ; Robová, Jarmila (advisor) ; Halas, Zdeněk (referee)
This work is intended for all people from the general public especially for all people interested in regular polyhedra geometry. The work can be also used as didactic aid by education of regular polyhedra. It is an comprehensive text which summarizes description, history, classification of this five regular polyhedra. We will also focus on their properties and occurence. Basic calculations of surfaces, volumes and radii of the circles circumscribed and inscribed are in the work too. The text is supplemented with illustrative pictures made in GeoGebra and Cabri3D. Some chapters are supplemented with photos.
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The Golden Section
Moravcová, Vlasta ; Šarounová, Alena (advisor)
Title of the master's thesis: The Golden Section Author: Bc. Vlasta Chmelíková Abstract: This text has been written especially as an educational material for secondary school teachers of mathematics and descriptive geometry, however it can be interesting also for students of secondary schools and universities and for another persons interes- ted 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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Platonic and Archimedean solids and their properties in teaching of mathematics at secondary schools
Dohnalová, Eva ; Robová, Jarmila (advisor) ; Halas, Zdeněk (referee)
Title: Platonic and Archimedean solids and their properties in teaching of mathematics at secondary schools Author: Eva Dohnalová Department: Department of Didactics of Mathematics Supervisor: doc. RNDr. Jarmila Robová, CSc. Abstract: This work is an extension of my bachelor work and it is intended for all people interested in regular and semiregular polyhedra geometry. It is a comprehensive text which summarizes brief history, description and classification of regular and semiregular polyhedra. The work contains proofs of Descartes' and Euler's theorems and proofs about number of regular and semiregular polyhedra. It can be also used as a didactic aid in the instruction of regular and semiregular solids at secondary schools. This text is supplemented by illustrative pictures made in GeoGebra and Cabri3D. Keywords: Regular polyhedra, platonic solids, Platon, semiregular polyhedra, Archimedean solids, Archimedes, dulaism, Descartes' theorem, Euler's theorem.
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Regular polyhedra and their properties
Pavlovičová, Eva ; Robová, Jarmila (advisor) ; Halas, Zdeněk (referee)
This work is intended for all people from the general public especially for all people interested in regular polyhedra geometry. The work can be also used as didactic aid by education of regular polyhedra. It is an comprehensive text which summarizes description, history, classification of this five regular polyhedra. We will also focus on their properties and occurence. Basic calculations of surfaces, volumes and radii of the circles circumscribed and inscribed are in the work too. The text is supplemented with illustrative pictures made in GeoGebra and Cabri3D. Some chapters are supplemented with photos.
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The Golden Section
Moravcová, Vlasta ; Šarounová, Alena (advisor)
Title of the master's thesis: The Golden Section Author: Bc. Vlasta Chmelíková Abstract: This text has been written especially as an educational material for secondary school teachers of mathematics and descriptive geometry, however it can be interesting also for students of secondary schools and universities and for another persons interes- ted 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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