Course: Mathematical Seminar for State Final Examination

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Course title Mathematical Seminar for State Final Examination
Course code USP/Z0MAS
Organizational form of instruction Seminar
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 2
Language of instruction Czech
Status of course Compulsory
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.
  • Pavelková Marie, Mgr. Ph.D.
Course content
- Didactic correctness and targeting of mathematical problems. - Creation of mathematical tasks and tests for primary school pupils (according to the set specification of development thought processes), their solutions and methods of evaluation. - Examples of mathematical problems and methods of their solution in the context of transnational and national measurements. - Specifics of working with gifted children in mathematics. - Mathematical competitions at the 1st stage of primary school (national, regional). - Methods of administration, specifics of rules in the implementation of mathematical competitions. - Typology of didactic games in mathematics and their importance for the development of mathematical competencies of primary school pupils. - Creation and critical evaluation of mathematical didactic materials - foreign and alternative educational projects in mathematics. - Modern ICT technology at the first stage of primary school. - Use of ICT tools in teaching primary mathematics. - Didactic software programs to support the teaching of mathematics. - Didactic software programs to support the teaching of mathematics and criteria for its evaluation, aspects of quality (mathematical expertise and didactic correctness). - Evaluation of mathematical problems. - The most used methods, forms and tools in creating mathematical problems.

Learning activities and teaching methods
Methods for working with texts (Textbook, book), Activating (Simulation, games, dramatization)
  • Participation in classes - 14 hours per semester
  • Home preparation for classes - 12 hours per semester
  • Term paper - 20 hours per semester
  • Preparation for course credit - 14 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)
Activating (Simulation, games, dramatization)
Activating (Simulation, games, dramatization)
Methods for working with texts (Textbook, book)
assessment methods
Analysis of seminar paper
Analysis of seminar paper
Recommended literature
  • Matematické soutěže [online]. Dostupné z: http://www.suma.jcmf.cz/UserFiles/102/souteze.pdf.
  • Blažková, R., & Vaňurová, M. Charakteristika nadaného žáka s poruchou učení z hlediska matematických úloh. In: Matematické vzdělávání v kontextu proměn primární školy. Olomouc: Univerzita Palackého v Olomouci, 2010.
  • Hejný, M., Houfková, J., Jirotková, D., & Mandíková, D. Úlohy pro první stupeň základního vzdělávání. Praha: Ústav pro informace ve vzdělávání, 2011.
  • Hejný, M. Vyučování matematice orientované na budování schémat: aritmetika 1. stupně. Praha: UK., 2014.
  • Krejčová, E. Hry a matematika na 1. stupni základní školy. Praha: SPN, 2009.


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