|
Lecturer(s)
|
-
Chytrý Vlastimil, doc. PhDr. Ph.D.
|
|
Course content
|
1. Nontraditional Approaches to Mathematics Teaching (Black Box Method, Confrontation Method, Ship Consultation Method, Gordon Method, Philips 66 Method, Hobo Method, ICT Use (Cabry + Geogebra), Paper Folding Work with Students with SPU + Work with Gifted Students . 2. Projection - space-to-plane display (center projection, parallel projection). Cabry Geometry, Geogebra. 3. Parallel projection (different kinds of parallel projection, especially free parallel projection). Pop-Up geometry 4. Construction of parallel projections of spatial formations and reconstruction of spatial formations from their parallel projections. 5. Solution of constructive problems in space by free parallel projection (Body sections, their use in the development of spatial imagination, etc.). Parallel illumination of bodies (drop shadow, body shadow). Paper folding geometry. 6. Using parallel screening at the first level school for the development of pupils' spatial imagination. 7. Simultaneous display and different types of equivalences in the plane. 8. Similar views in a plane (especially a special type of similarity in the plane - uniformity). 9. Topological representation, a simple curve as a topology of a line, a simple closed curve as a topological image of a circle 10. Topological concepts: point surroundings, inner, outer, and boundary point of the unit, limited unit. 11. Topological notions: the boundary of a unit, a closed formation, an open unit, non-overlapping units, a continuous unit. 12. Geometric measurements - Jordan's measure. 13. Line length, line length. Substance and principle of measuring a line. Measure lines in elementary school curriculum. 14. Shape of shapes, content of the shape. Principle and principle of pattern measurement. The content of the rectangle and the square, respectively. other patterns at the first grade.
|
|
Learning activities and teaching methods
|
|
unspecified
|
|
Learning outcomes
|
In the subject of Geometry and Didactics, the geometric concepts necessary for the teaching of geometry at the first level of elementary school develop in a creative way. Increased attention is paid to geometric, especially spatial imagination, the quality of graphic communication and modern elements that penetrate the teaching of geometry. Emphasis will be placed on the use of non-traditional teaching methods and forms for maximum involvement of pupils with SPUs and possibly gifted pupils during classes. These methods include black box method, confrontation method, ship consultation method, Gordon method, Philips 66 method, Hobo method, ICT usage (Cabry + geogebra), paper folding, and more.
- work with individual geometric terms, - using non-traditional forms of teaching to involve students with SPUs (dysgraphic pupils and others), - Using non-traditional forms of teaching to involve students in gifted and extraordinarily talented students, - formulate definitions of individual geometric terms, - explain how to introduce geometric concepts into teaching and how to continue working with them, - work with definitions when dealing with standard geometric tasks, - Proper use of professional terminology and symbolism, - use communicative skills in a professional language and has acquired means of graphic communication, - create tasks appropriate to the topic, - to create a teaching unit with a focus on the issue.
|
|
Prerequisites
|
The subject has no prerequisites.
|
|
Assessment methods and criteria
|
unspecified
The credit test-student must reach more than 70%. Exam - the student is required to pass the exam based on theoretical aspects of teaching Active participation in seminars. Study support: https://moodle.pf.ujep.cz/enrol/index.php?id=375 Password: guest
|
|
Recommended literature
|
-
BĚLÍK, Miroslav. Učební text pro studium učitelství prvního stupně základní školy. Vyd. 1. Ústí nad Labem: Univerzita J. E. Purkyně, 2005, 46s.
-
HEJNÝ, M., KUŘINA, F. Dítě, škola a matematika, Portál, Praha, 2001.
-
CHYTRÝ, Vlastimil, PRCHALOVÁ, Jana. Geometrie s didaktikou II. I. Vyd. Ústí nad Labem: Univerzita J. E. Purkyně, 2013, 82s..
-
PERNÝ, Jaroslav. Kapitoly z elementární geometrie I. Vyd. 2., upr. Liberec: Technická univerzita v Liberci, 2009, 58 s. ISBN 978-80-7372-539-6..
-
PERNÝ, Jaroslav. Kapitoly z elementární geometrie II. Vyd. 1. Liberec: Technická univerzita v Liberci, 2005, 57 s. ISBN 80-7372-025-6..
|