Course: Mathematical Seminar for State Final Examination

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Course title Mathematical Seminar for State Final Examination
Course code USP/S0MAS
Organizational form of instruction Tutorial
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 1
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Tirpáková Anna, prof. RNDr. CSc.
Course content
- Mathematical literacy and its components. - Data and stages of data processing - types of data, different ways of data recording, reading and interpretation of data, sorting and arrangement. - Mathematical data processing and basic statistical characteristics (position and variability), data interpretation, graphical representation of data. - Solving tasks focused on data analysis and evaluation of probability of various phenomena. - Modelling of elementary probabilistic situations in primary education and developing the ability to argue. - Tasks focused on developing combinatorial thinking of pupils, basic combinatorial rules. - Solving strategies using elements of graph theory in primary school curriculum. - Cognitive factors of financial literacy, financial literacy standards for primary school. - Tasks developing financial literacy (solving tasks with money, household economy, financial products).

Learning activities and teaching methods
Dialogic (Discussion, conversation, brainstorming), Methods for working with texts (Textbook, book), Practice exercises
  • Participation in classes - 14 hours per semester
  • Term paper - 16 hours per semester
prerequisite
Knowledge
Not specified.
Not specified.
learning outcomes
think deeply about the changing requirements in teaching mathematics from the perspective of the modernization of education
think deeply about the changing requirements in teaching mathematics from the perspective of the modernization of education
define mathematical literacy
define mathematical literacy
describe the basic statistical characteristics of the data
describe the basic statistical characteristics of the data
define the basics of graph theory
define the basics of graph theory
different types of tasks' solving
different types of tasks' solving
Skills
solve tasks aimed at evaluating the probability of various phenomena
solve tasks aimed at evaluating the probability of various phenomena
solve tasks of combinatorial thinking
solve tasks of combinatorial thinking
solve problems of combinatorial thinking from the field of graph theory
solve problems of combinatorial thinking from the field of graph theory
apply solving strategies
apply solving strategies
create simple tasks that develop financial literacy
create simple tasks that develop financial literacy
teaching methods
Knowledge
Methods for working with texts (Textbook, book)
Methods for working with texts (Textbook, book)
Dialogic (Discussion, conversation, brainstorming)
Practice exercises
Practice exercises
Dialogic (Discussion, conversation, brainstorming)
assessment methods
Analysis of seminar paper
Analysis of seminar paper
Recommended literature
  • HEJNÝ, M., HOUFKOVÁ, J., JIROTKOVÁ, D., MANDÍKOVÁ, D. a kol. Úlohy pro první stupeň základního vzdělávaní. Praha : Ústav pro informace ve vzdělávání, 2011.
  • KLÍNSKÝ, P., CHROMÁ, D. Finanční gramotnost, úlohy a metodika. Praha : NÚOV, 2009.
  • PŘÍHONSKÁ, J. Kombinatorické problémy. Liberec : TU v Liberci, 2013.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester