Course: Methods of Solving Mathematical Problems

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Course title Methods of Solving Mathematical Problems
Course code KMT/METQ
Organizational form of instruction Seminar + On-line Activities
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 2
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Dofková Radka, doc. PhDr. Ph.D.
  • Hodaňová Jitka, Mgr. Ph.D.
Course content
The content of this subject is the pedagogical skills development in production, solving and analyzing teaching exercises from basic units in school mathematics. Activity with interactive board.

Learning activities and teaching methods
Lecture, Work with Text (with Book, Textbook), Methods of Written Work, Work Activities
  • Attendace - 28 hours per semester
  • Semestral Work - 12 hours per semester
  • Preparation for the Course Credit - 30 hours per semester
  • Homework for Teaching - 28 hours per semester
Learning outcomes
This course develops students pedagogical abilities by focusing on the development, solving, and analysing mathematical problems. Emphasis is placed on using mathematical problems as an incentive for the development of gifted students (extra-curricular activities) and on an individualistic approach to poor students. The seminars have the form of workshops.
Possibility to solve problems in plane geometry (two dimensional geometry) and stereometry (geometry in space).
Prerequisites
Knowledge of geometry in range of the secondary school and bachelor study with a view to education and magister study of math training for basic school.

Assessment methods and criteria
Written exam, Analysis of linguistic, Systematic Observation of Student, Seminar Work

The student works out and hands in 5 assigned exercises The student gets 70% of total score in tests.
Recommended literature
  • Karel Horák. (1993). 40 let matematické olympiády (v Československu) : Sborník řešených úloh . Praha : Jednota českých matematiků a fyziků, 1993 .
  • Boček Leo, Horák Karel. (2001). Padesát let matematické olympiády. 1951 - 2001. Praha : Matfyzpress, 2001 .
  • HERMAN, J., KUČERA, R., ŠIMŠA, J. (2001). Metody řešení matematických úloh I. Brno.
  • HERMAN, J., KUČERA, R., ŠIMŠA, J. (1997). Metody řešení matematických úloh II. Brno.
  • ODVÁRKO, O., CALDA, E., ŠEDIVÝ, J., ŽIDEK, S. (1990). Metody řešení matematických úloh. Praha.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB17) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB18) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB16) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB18) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer