PdF:MAz02 Solving problems in maths 1

MAz02 Solving Problems in 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 reminds the teachers of methods of solving mathematical tasks with the tools of students 11 to 15 years old.

Syllabus

1. Mathematical task and its solution with the means available to an elementary school pupil. Mathematics textbooks for elementary schools - sample tasks. Alternative approaches to teaching mathematics and problem solving. Simple and complex word problems, methodology for solving them. 2. Solving numerical and word problems arithmetically in the domain of natural and rational numbers, especially complex word problems. Calculations with powers and roots. 3. Using inductive and deductive methods when solving tasks in divisibility and elementary number theory. 4. Solving application tasks with percentages. Tasks for developing financial literacy of the pupils. 5. Didactic problems with treatment of algebraic expressions. Algebraic fractions. Proofs of some algebraic identities. Word problems solved with equations and systems of equations. 6. Solving word problems and application tasks using functions and their graphs. Statistical observations, concrete illustration of notions in 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.