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Lecturer(s)
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Chytrý Vlastimil, doc. PhDr. Ph.D.
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Course content
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1. Projection- display space to the plane (central projection, parallel projection). 2. Parallel projection (different kinds of parallel projection, especially loose parallel projection). 3. Construction of parallel projections of spatial formations and reconstruction of spatial formations of their parallel projections. 4. Solution constructive tasks in space using a free parallel projection (penetration of the body and the plane of penetration and half-etc.). Parallel lighting elements (drop shadow, a shadow of the body). 5. Use of parallel projection at the school of First Instance for the development of spatial imagination of pupils. 6. In line display and various types of congruence in the plane. 7. Similarly in the plane (in particular the special type of similarity in plane - homothety). 8. Topological projection, simple curve as a topological image of a segment, a simple closed curve as a topological image of a circle. 9. Topological concepts (limited unit, internal, external and end point of the service department open, closed shape, overlapping departments, coherent unit. 10. Measurement of geometric shapes - Jordan measure. 11. Measurement lines: lines rate, length of the line. 12. Measuring shapes: the rate of shapes of geometric figures. 13. Measuring angles: the degree angles, the angular size. 14. Measurement of figure: the rate of solids, bulk solids.
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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This course creatively develop a system of geometric concepts necessary for teaching geometry at primary school. Special attention is devoted to geometric, especially spatial imagination, quality of graphic communication and modern elements that enter the teaching of geometry.
Students can: - Work with individual geometric concepts, - Formulate definitions of geometric concepts, - Explain how to introduce geometrical concepts into teaching and how they continue to work, - Work with the definitions in solving standard geometric problems, - Correct use of specialized terminology and symbolism, - Use of communicative skills in technical language and has acquired the means of graphic communication, - Create jobs appropriate to the topic, - Create a teaching unit focused on the issue.
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Prerequisites
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It is believed theorists tackling the challenges associated with the concepts of relations and operations.
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Assessment methods and criteria
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unspecified
Understanding and learning of geometrical concepts, the exact wording of their definitions, followed by application of the specific examples, the use of knowledge of geometrical concepts to problem solving, proper use of specialized terminology and symbolism, communicative skills in technical language and mastery of graphic communication resources. Knowledge of the context studied substances in developing geometric curriculum at primary school. The student is expected to continue: 1. 80% attendance at seminars. 2. Successful fulfillment of a credit test. 3. Activity in seminars.
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Recommended literature
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BĚLÍK, Miroslav. Učební text pro studium učitelství prvního stupně základní školy. Vyd. 1. Ústí nad Labem: Univerzita J. E. Purkyně, 2005, 46s..
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E-learningový kurz. dostupný z: https://moodle.pf.ujep.cz/course/category.php?id=6.
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HEJNÝ, Milan, KUŘINA, František. Dítě, škola a matematika. 2. vyd. Brno: Portál, 2009. ISBN 80-7290-189-3..
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CHYTRÝ, Vlastimil, PRCHALOVÁ, Jana. Geometrie s didaktikou II. I. Vyd. Ústí nad Labem: Univerzita J. E. Purkyně, 2013, 82s..
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JIROTKOVÁ, Darina. Cesty ke zkvalitňování výuky geometrie. Vyd. 1. Praha: Univerzita Karlova, Pedagogická fakulta, 2010, 330 s. ISBN 978-80-7290-399-3..
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PERNÝ, Jaroslav. Kapitoly z elementární geometrie I. Vyd. 2., upr. Liberec: Technická univerzita v Liberci, 2009, 58 s. ISBN 978-80-7372-539-6..
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PERNÝ, Jaroslav. Kapitoly z elementární geometrie II. Vyd. 1. Liberec: Technická univerzita v Liberci, 2005, 57 s. ISBN 80-7372-025-6..
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