SubjectsSubjects(version: 978)
Course, academic year 2025/2026
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Methods for Solution of Mathematical Problems - NMTM307
Title: Metody řešení matematických úloh
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: winter
E-Credits: 2
Hours per week, examination: winter s.:0/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: RNDr. Vlasta Moravcová, Ph.D.
RNDr. Helena Kommová
Teacher(s): RNDr. Vlasta Moravcová, Ph.D.
Incompatibility : NMUM307
Interchangeability : NMUM307
Is incompatible with: NMUM307
Is interchangeable with: NMUM307
Annotation -
Difficult tasks of high school mathematics solved by various and non-traditional methods. Evaluation of individual methods from the view of difficulty and appropriateness of enrollment in teaching mathematics with respect to the knowledge and abilities of pupils of each year of upper secondary school.
Last update: Staněk Jakub, RNDr., Ph.D. (14.06.2019)
Course completion requirements -

Onsite teaching:

1. Active participation in the seminar, absence will not exceed 3 seminars. In justified cases, a higher number of absences can be replaced by the elaboration of seminar assignments.

2. Submission of a cultivated written form of various methods of solving a given task and presentation of this task.

3. Successful passing of the credit test (one regular term and two resits).

The nature of the credit does not allow its repetition.

Last update: Moravcová Vlasta, RNDr., Ph.D. (25.09.2025)
Literature -

Odvárko a kol., Metody řešení matematických úloh, SPN, Praha 1990

Robová a kol., Sbírka aplikačních úloh ze středoškolské matematiky, Prometheus, Praha 2014

Polya, Jak to řešit?, MatfyzPress, Praha, 2016

Larson, Metódy riešenia matematických problémov, Alfa, Bratislava 1990

Sborníky matematických olympiád

Last update: Moravcová Vlasta, RNDr., Ph.D. (18.09.2021)
Syllabus -

The use of various methods of solving problems in the areas of logic, (in)equations, functions, geometry, etc. Interconnection of synthetic and analytical methods of solving geometric problems. Methods of proofs.

Last update: Moravcová Vlasta, RNDr., Ph.D. (14.06.2019)
 
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