PdF:MAz04 Solving problems in maths 2

MAz04 Solving Problems in Mathematics 2

Faculty of Education
Spring 2019

Extent and Intensity

0/0/1.5. 3 credit(s). Type of Completion: z (credit).

Teacher(s)

Guaranteed by

Course Enrolment Limitations

The course is only offered to the students of the study fields the course is directly associated with.

fields of study / plans the course is directly associated with

Course objectives

The course reminds the teachers of methods of solving mathematical tasks with the tools of students 11 to 15 years old.

Syllabus

1. Solving tasks developing geometric and spatial imagination, mutual positions of points, lines, and planes in space, positional and metric tasks. 2. Tasks for checking the properties of geometric shapes, proofs of some properties. Pythagoras theorem and its applications. 3. Projection of geometric shapes in various projections - identity and scaling. Solving concrete application tasks with the application of geometric projection. 4. Solving construction tasks with the application of basic relationship between the elements, using sets of points with some property, and using geometric mappings. Positional and non-positional problems. 5. Solving interesting application tasks with the use of formulas for calculating the size of geometric shapes. 6. Solving problems in affine projection. Using ICT to illustrate various views on a solid and possibilities to use various programmes for solving tasks in solid geometry.

Literature

KOPKA, Jan. Hrozny problémů ve školské matematice. Vyd. 1. Ústí nad Labem: Univerzita J.E. Purkyně, 1999, 194 s. Acta Universitatis Purkynianae. Studia matematica, 1. ISBN 80-7044-247-6.
KUŘINA, František and Jana CACHOVÁ. Matematika a porozumění světu : setkání s matematikou po základní škole. Vyd. 1. Praha: Academia, 2009, 332 s. ISBN 9788020017437. info
Dvacet pět kapitol z didaktiky matematiky. Edited by Milan Hejný - Jarmila Novotná - Naďa Vondrová. Praha: Univerzita Karlova v Praze - Pedagogická fakulta, 2004, viii, 212. ISBN 8072901893. info
ODVÁRKO, Oldřich, Jaroslav ŠEDIVÝ and Emil CALDA. Metody řešení matematických úloh. 1. vyd. Praha: Státní pedagogické nakladatelství, 1990, 261 s. ISBN 8004204341. info
HEJNÝ, Milan. Teória vyučovania matematiky. 1. vyd. Bratislava: Slovenské pedagogické nakladatel'stvo, 1989, 554 s. info

Teaching methods

Theoretical lecture and seminar.

Assessment methods

Active participation in the seminars.

Language of instruction

Czech

Further comments (probably available only in Czech)

The course is taught annually.
The course is taught: in blocks.
Information on the extent and intensity of the course: 18 hodin.

The course is also listed under the following terms Spring 2018, Spring 2020, Spring 2021, Spring 2022.