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Lecturer(s)
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Janečková Miroslava, PaedDr. PhD.
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Course content
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1. Basic geometric concepts, geometric shapes and patterns. 2. Construction of geometric figures. 3. Properties of geometric figures, differentiation geometric shapes based on visual and tactile perception. 4. Comparing and classification geometric shapes. 5. Conformity of geometric objects. Axially symmetrical formations. 6. Geometry in a square network. 7. Basics topology. Simple open and closed curves. 8. Propedeutics writing and drawing in the representation of plane geometric figures. 9. Display three-dimensional objects in the plane. 10. The development of spatial imagination, orientation in the plane, orientation in three-dimensional space. 11. Modeling, construction, modeling of paper, spontaneous play and modeling according to specifications. 12. Basic knowledge of measure theory in geometry. Building idea of the magnitude of real objects, simple measurements. 13. Whole and its parts. Visual analysis and synthesis in problems with geometric themes. 14. Evaluation of teaching and assigned tasks.
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Learning activities and teaching methods
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unspecified, unspecified, unspecified, unspecified
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Learning outcomes
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The aim of the course is to acquaint students with the development of mathematical thinking in geometry at preschool children. Attention is given to basic geometric concepts in pre-school education; geometric formations, principles of measurement, geometry in a square network, modeling, spatial orientation and development of geometric and spatial imagination. Direct handling of objects is an important aspect in the development of mathematical skills in teaching will contact students to apply theoretical knowledge in a specific tasks. Student knows the basic geometric concepts in pre-school education, can explain the principle of measuring length, area and volume level requirements for preschool education. In working with geometric formations apply knowledge of classification, arrangement and display. He can create for preschool child tasks focused on the development of mathematical imagination, including spatial imagination.
Student knows the basic geometric concepts in pre-school education, can explain the principle of measuring length, area and volume level requirements for preschool education. In working with geometric formations apply knowledge of classification, arrangement and display. He can create for preschool child tasks focused on the development of mathematical imagination, including spatial imagination.
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Prerequisites
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The subject requires no specific prerequisites.
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Assessment methods and criteria
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unspecified
Active participation in the seminar. Seminar work.
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Recommended literature
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Bělík M. Geometrie s didaktikou, učební text pro studium učitelství 1. stupně ZŠ, UJEP 2007. Ústí nad Labem, 2007. ISBN 987-80-7044-875-5.
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Gardner,H. Dimenze myšlení.Teorie rozmanitých inteligencí. Praha: Portál, 1999.
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HEJNÝ, M., KUŘINA, F. Dítě, škola a matematika, Portál, Praha, 2001.
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Kuřina F. Umění vidět v matematice, SPN Praha. 1990.
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Melichar, J. Rozvoj prostorové představivosti. UJEP, 2011.
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Molnár J. Rozvíjení prostorové představivosti nejen ve stereometrii, UP Olomouc. 2004.
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Opava Z. Matematika kolem nás, Albatros Praha. 1989.
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Vopěnka P. Rozpravy s geometrií, Panorama Praha. 1989.
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