Methods of Problem Solving I - O02310020
Title: Metody řešení úloh I
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2012
Semester: summer
E-Credits: 3
Examination process: summer s.:
Hours per week, examination: summer s.:0/0, C [HT]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Is provided by: OB2310020
Explanation: Rok2Distanční výuka
Old code: MŘÚ
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Guarantor: prof. RNDr. Naďa Vondrová, Ph.D.
PhDr. Petr Dvořák, Ph.D.
Mgr. Derek Pilous, Ph.D.
Classification: Mathematics > Mathematics General
Pre-requisite : O02310001, O02310013
Interchangeability : OB2310020
Is pre-requisite for: O02310021
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Annotation -
The course is organised in a distant way, students prepare seminar works, work partially in an e-learning way and consult their work with the teacher. An emphasis is put on the work with recommended literature. More complex problems are solved from the areas of equations and inequalities, number theory and planimetry.
Last update: STEHLIKO/PEDF.CUNI.CZ (30.08.2008)
Aim of the course -

The goal of the course is the mastery of basic methods of solving chosen topics.

Last update: STEHLIKO/PEDF.CUNI.CZ (30.08.2008)
Literature -
  • Calda, E.: Rovnice ve škole neřešené.

  • Davydov, U. S., Znám, Š.: Teória čísel. SPN Bratislava 1966.

  • Hejný, M. a kol.: Teória vyučovania matematiky 2.

  • Herman, J., Kučera, R., Šimša, J.: Metody řešení matematických úloh I. SPN Praha 1990.

  • Hruša, K. a kol.: Úvod do studia matematiky.

  • Kuřina, F.: 10 pohledů na geometrii.

  • Kuřina, F.: Umění vidět v matematice.

  • Maška, O.: Řešené úlohy z matematiky. Planimetrie.

  • Odvárko, O. a kol.: Metody řešení matematických úloh.

  • Šofr, B.: Euklidovské geometrické konštrukcie. Alfa, Bratislava, 1976.

  • Švrček, J.: Geometrie trojúhelníka.

  • Váňa, J.: O rovnicích s parametry.

  • Rozhledy matematicko-fyzikální: ročník 63 číslo 7, 9, 10.

  • Různé ročenky matematické olympiády.
Last update: STEHLIKO/PEDF.CUNI.CZ (30.08.2008)
Teaching methods -

E-learning, consultations.

Last update: STEHLIKO/PEDF.CUNI.CZ (30.08.2008)
Syllabus -

Three topics are studied:

  • equations and inequalities and their systems

  • number theory

  • plane geometry

A seminar work is prepared for each of the topics consisting of several assigned problems and of problems from some books.

Last update: STEHLIKO/PEDF.CUNI.CZ (30.08.2008)