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Lecturer(s)
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Káňa Michal, doc. RNDr. Ph.D.
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Breitfelder Ondřej, Mgr.
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Course content
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Introduction to computer visualization of curves, surfaces and solids. ICT in teaching geometry, using for training of imagination and experimentation. Creative and inventive application of programs of variational and dynamic geometry or further geometric SW (especially suitable 3D modellers). Solving classical geometric problems using computers.
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Learning activities and teaching methods
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Lecture supplemented with a discussion, E-learning, Multimedia supported teaching, Task-based study method, Individual study, Lecture, Lecture with visual aids, Practicum
- Contact hours
- 36 hours per semester
- Undergraduate study programme term essay (20-40)
- 30 hours per semester
- Individual project (40)
- 20 hours per semester
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| prerequisite |
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| Knowledge |
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| understand basic elementary geometry, trigonometry and analytic geometry in plane and space |
| understand the principles of the selected projection method |
| understand the representation of geometric objects and control their manipulation |
| Skills |
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| apply learned procedures to elementary geometric problems |
| analyse and make appropriate use of selected geometric properties |
| work in suitable geometric SW |
| Competences |
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| N/A |
| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| understand the computer representation of curves, surfaces and solids |
| understand the importance of incorporating appropriate dynamic geometry software for modelling structures and geometric objects |
| understand, with all its implications, the properties and relationships within well-known basic geometric objects |
| to be familiar with the possibilities of incorporating ICT into geometry teaching |
| Skills |
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| use appropriate dynamic geometry software to perform constructions and visualizations of geometric objects (curves, surfaces, solids), perform appropriate measurements and subsequent calculations |
| discover properties and relationships of basic geometric objects |
| start your own exploration of geometrically oriented topics using the computer |
| recognise and analyse the use of geometry and its methods in a variety of disciplines |
| apply appropriate geometric models to solve simple real-world problems |
| use appropriate geometry software for training imagination and experimentation |
| Competences |
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| N/A |
| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Lecture |
| Lecture with visual aids |
| Practicum |
| Multimedia supported teaching |
| Task-based study method |
| Individual study |
| Skills |
|---|
| Lecture |
| Lecture with visual aids |
| Practicum |
| Multimedia supported teaching |
| Task-based study method |
| Individual study |
| Competences |
|---|
| Lecture |
| Lecture with visual aids |
| Practicum |
| Multimedia supported teaching |
| Task-based study method |
| Self-study of literature |
| assessment methods |
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| Knowledge |
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| Test |
| Seminar work |
| Project |
| Skills |
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| Test |
| Seminar work |
| Project |
| Competences |
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| Test |
| Seminar work |
| Project |
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Recommended literature
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Bainville, E. CABRI II Plus manuál (překlad A. Vrba). 2003.
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El Saddik, Abdulmotaleb. Interactive multimedia learning : shared reusable visualization-based modules : with 60 figures and 16 tables. Berlin : Springer, 2001. ISBN 3-540-41930-6.
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Farin, Gerald. Curves and surfaces for computer-aided geometric design : a practical guide. 4th ed. San Diego : Academic Press, 1997. ISBN 0-12-249054-1.
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Piegl, Les; Tiller, Wayne. The NURBS book. 2nd ed. Berlin : Springer, 1997. ISBN 3-540-61545-8.
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Vaníček, Jiří. Počítačové kognitivní technologie ve výuce geometrie. V Praze : Univerzita Karlova, 2009. ISBN 978-80-7290-394-8.
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