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Lecturer(s)
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Bímová Daniela, Mgr. Ph.D.
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Course content
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Exercises:. 1. GeoGebra 2D - familiarization with a user interface, possibilities of the software setup, software control, entering 2D objects, figures. The denotation of the drawn objects. Drawing of the basic planar geometric figures. Planar transformations. Creation of an online GeoGebra Book. 2. GeoGebra 2D - the creation of the 2D geometric warm-ups. 3. GeoGebra 2D - creating a dynamic lecture on a chosen planimetric topic. 4. GeoGebra 2D - solution of the school geometry planimetric tasks. Symbolic construction protocol. Automatic drawing of the construction. 5. GeoGebra 2D - dynamic tools - slider, track of an object, and animation. Creating dynamic pictures. 6. GeoGebra 2D - creating one's own teaching material (including planimetric warm-up and planimetric construction task) for the chosen planimetric topic taught at the secondary or high school. 7. GeoGebra 3D - familiarization with a user interface of the 3D window, inserting 3D geometric objects. 3D drawing - creating 3D warm-ups, including problems of spontaneous stereometry. 8. GeoGebra 3D - solving the school stereometric problems (positional and metric ones) through dynamic applets. 9. GeoGebra 3D - creating stereometric construction tasks. 10. GeoGebra 3D - creating figures for 3D analytic geometry problems. Drawing of the space curves and surfaces (surfaces of revolution, helicoidal surfaces). 11. GeoGebra 3D - creating one's own teaching material (including stereometric warm-up and stereometric positional or metric task) for the chosen stereometric topic taught at the secondary or high school. 12. Online GeoGebra environment - creating an online test for the chosen geometric topic. 13. Online GeoGebra environment - work with GeoGebra Classroom. 14. Onshape - familiarization with the online user interface and software control. Creating virtual 3D models of spatial objects. 15. Onshape - creating virtual 3D models of spatial objects. Introducing the 3D printing process. 16. Onshape - creating one's own 3D virtual model of an educational geometric aid. 17. - 18. Presentation of tasks created by students.
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Learning activities and teaching methods
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Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments), Seminár, E-learning, Students' portfolio
- Class attendance
- 28 hours per semester
- Preparation for credit
- 32 hours per semester
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Learning outcomes
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Repetition of basic planimetric and some stereometric constructional tasks. Work with the geometric software GeoGebra. Familiarization with the user interface and with the use of the software. Creation of planimetric and stereometric warm-ups, constructional tasks, the creation of dynamic applets or 3D models of selected objects. Creation of GeoGebra book.
The practical usage of the geometric freeware GeoGebra focused on creating applets in the fields of 2D and 3D computer graphics and familiarization with creating virtual 3D models in the Onshape software as a basis for 3D printed physical models.
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Prerequisites
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Knowledge of secondary school geometry (planimetry and stereometry), especially knowledge of basic planar shapes, spatial objects and their properties, planimetric and stereometric constructional problems. Acquisition of basic digital competencies (skills to operate a PC, ability to search for information on the Internet, etc.)
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Assessment methods and criteria
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Practical demonstration of acquired skills
Graded credit: - Active participation in exercises. - Successful submission of assigned tasks consisting of independent creation of - 2 dynamic applets of geometric warm-ups in the GeoGebra freeware (one planimetric and one stereometric warm-up), - 1 dynamic applet of a planimetric construction task in the GeoGebra freeware, - 1 dynamic applet of a stereometric positional or metric task in the GeoGebra freeware, - a test for a selected geometric topic in the GeoGebra online environment, - a virtual 3D model of an educational geometric aid in the Onshape software.
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Recommended literature
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Fabiánová, H.; Ocmanová, B. Opakování geometrie. Liberec, 1995.
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Petáková, J. Matematika - příprava k maturitě a k přijímacím zkouškám na vysoké školy. Praha, 2021. ISBN 978-80-7196-487-2.
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Urban, A:. Deskriptivní geometrie I, II..
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