PdF:MAz01 Didactics of Mathematics 1

MAz01 Didactics of Mathematics 1

Faculty of Education
autumn 2020

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 enhances education of secondary school mathematics teachers with didactic principles for working with pupils 11-15 years old.

Syllabus

1. Special issues with mathematics teaching at elementary schools. Curriculum documents. Methods and forms of work used at elementary schools. Pupils' learning process. 2. Number domains and their extension at elementary school, establishing and creating the individual notions in connection with the abilities and competences of the pupils (natural numbers, decimal numbers, fractions, rational numbers in general, some real numbers. 3. Divisibility in the domain of natural numbers. 4. Percentage, basics of financial mathematics.Ratio, proportion, rule of three. Scale of a plan and a map. 5. The language of algebra, approaches to further generalisation at elementary school. Equations and inequalities in elementary schools. Systems of linear equations, indeterminate equations. 6. Dependencies, propaedeutic stage of the functional thinking development, teaching some elementary functions, related notions (direct and inverse proportionality, linear function, quadratic function in simple cases). Working with statistical data, basics of descriptive statistics.

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 Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2021.