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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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Thematic areas: 1. GeoGebra - familiarisation with the online environment of the GeoGebra freeware and creation of an online GeoGebra book. Demonstration of downloading and installing the offline version of GeoGebra freeware. 2. GeoGebra 2D - familiarisation with the user interface, software setting options, and software control. Insertion and construction of planar geometric objects and figures. Describing objects. Setting the properties of embedded objects. 3. GeoGebra 2D - creating planimetric geometric warm-ups of difficulty corresponding to pupils of the 1st grade of elementary school. 4. GeoGebra 2D - dynamic tools - slider, movement, trace; creating a dynamic explanation for a selected geometry topic taught in the 1st grade of primary school. 5. GeoGebra 2D - creating a simple construction task, including a sketch and step-by-step symbolic or verbal construction notation. Automatic construction rendering. 6. GeoGebra 2D - creating dynamic applets for metric tasks (calculations of perimeters and areas of plane figures). 7. GeoGebra 2D - independent creation of teaching material for a selected topic from planimetry taught in the 1st grade of elementary school, incorporating specified GeoGebra tools. 8. GeoGebra 3D - getting to know the tools in the 3D graphics window of the freeware GeoGebra, inserting 3D objects, especially basic solids - cube, cuboid, prism, pyramid, cylinder, cone, and sphere. Creation of nets of basic solids. 9. GeoGebra 3D - creating stereometric warm-ups (i.e. problems from spontaneous stereometry) of difficulty corresponding to pupils of the 1st grade of elementary school. 10. GeoGebra 3D - solving stereometric position problems of school geometry (determining the mutual positions of points, straight lines and planes displayed in conjunction with basic solids). The possibility of displaying in anaglyphic display with the use of anaglyphic glasses. 11. GeoGebra 3D - solving stereometric metric problems of school geometry (calculating surfaces and volumes of a cube and cuboid). Overlap for 3D printing of created 3D object models. 12. GeoGebra online environment - creating an online test with five problems from planimetry and five problems from stereometry of difficulty corresponding to pupils of the 1st grade of elementary school. Creation of a GeoGebra class and demonstration of work in it. 13. GeoGebra 2D - independent creation of teaching material for a chosen topic from stereometry taught in the 1st grade of elementary school (e.g. perpendicular views of cubic solids), incorporating specified GeoGebra tools. 14. Presentation of educational materials 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), Practicum, 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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Familiarization with the user interface and basic operation of the geometrical freeware GeoGebra. Creating dynamic applets for simple construction and metric problems, as well as creating 3D model designes suitable for 3D printing. Working in the online GeoGebra environment - building a GeoGebra book (continuously inserting created dynamic applets into the GeoGebra book), setting up a GeoGebra class and navigating through it, creating online examples for practicing or online geometry tests.
The practical usage of the online and offline versions of the geometric freeware GeoGebra focused on creating applets in the fields of 2D and 3D computer graphics. Overlap to 3D printing of created virtual models of 3D objects.
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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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Student's performance analysis, Practical demonstration of acquired skills
Requirements to obtain credit: - Active participation in exercises. - Successful submission and presentation of assigned tasks - created teaching materials for selected topics in planimetry and stereometry, which are taught in the 1st grade of elementary school, with the incorporation of the assigned GeoGebra freeware tools.
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Recommended literature
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Palková, M. Průvodce matematikou 2. Brno, Didaktis, 2016. ISBN 978-80-7358-275-3.
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Vorderman, C. Help Your Kids with Maths. London, Dorling Kindersley Limited, 2014.
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