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Educational environment additive polygons and polyhedrons
Sukniak, Anna ; Jirotková, Darina (advisor) ; Vondrová, Naďa (referee)
Title: Educational environment additive polygons and polyhedrons Summary: The main intention of the work is to introduce a new mathematical educational environment that would be especially attractive for pupils in the grades 6. -9., but also in the secondary schools, universities or primary schools The work consists of six parts. In the introduction are mentioned the reasons that led me to choose this topic. The second chapter describes the theoretical basis of the work. The third section describes in detail the environment of additive polygons, both its aspects - mathematical and educational one. Analogously, as it is in the third chapter, is processed the fourth chapter that is dedicated to the environment of additive polyhedrons. The fifth chapter is devoted to the linking of the environment of additive polygons and polyhedrons into the linear algebra. In conclusion are provided further opportunities of work with this environment.
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Concept Building Process in 2D Geometry of Primary School Pupils
Vlková, Gabriela ; Slezáková, Jana (advisor) ; Jirotková, Darina (referee)
The diploma thesis deals with the topic of concept building process in 2D geometry. The topic is aimed at preschoolers and school-aged children. The theoretical part describes the stages of human development and the cognitive stages of development. Then there are characterized the term concept, the concept building process and the stages of the language development in mathematics. The following part describes two theories about the building knowledge in Maths and the levels of thinking in geometry according to the van Hiele model. The last one chapter of this part describes the geometry curriculum within the primary school education. The method of qualitative research - participated observation - was used for the practical part. This part describes the research that consists of seven experiments. The aim of the experiments was to observe the development of children's and pupils' ideas about 2D geometric shapes. Many activities were prepared for the research. On the basis of the activities reflection the activities were changed or completed. The experiments are described by means of the phenomena that appeared. The phenomena are important for the describing the concept building process of 2D geometric shapes - a square, a circle, a rectangle, a triangle. The information from research is compared...
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Educational environment additive polygons and polyhedrons
Sukniak, Anna ; Jirotková, Darina (advisor) ; Vondrová, Naďa (referee)
Title: Educational environment additive polygons and polyhedrons Summary: The main intention of the work is to introduce a new mathematical educational environment that would be especially attractive for pupils in the grades 6. -9., but also in the secondary schools, universities or primary schools The work consists of six parts. In the introduction are mentioned the reasons that led me to choose this topic. The second chapter describes the theoretical basis of the work. The third section describes in detail the environment of additive polygons, both its aspects - mathematical and educational one. Analogously, as it is in the third chapter, is processed the fourth chapter that is dedicated to the environment of additive polyhedrons. The fifth chapter is devoted to the linking of the environment of additive polygons and polyhedrons into the linear algebra. In conclusion are provided further opportunities of work with this environment.
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