Course: Methods for Solving of Mathematical Tasks

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Course title Methods for Solving of Mathematical Tasks
Course code USP/Z8MMU
Organizational form of instruction Lecture + Tutorial
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 3
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
- Methods of solving problems with a focus on the addition. - Methods of solving problems with a focus on subtraction. - Methods of solving problems with a focus on the multiplication. - Methods of solving problems with a focus on the division. - Methods of solving problems with a focus on equations. - Methods for solving non-traditional application tasks. - Methods of solving word problems in the context of real situations. - Methods of solving word problems for logical thinking. - Methods of solving problems with a focus on combinatorial thinking. - Methods of solving problems with a focus on plane geometry. - Methods of solving problems with a focus on geometry of space. - Methods of solving problems with a focus on mathematical literacy. - Methods of solving problems with a focus on financial literacy. - Methods of solving problems with a focus on statistical literacy

Learning activities and teaching methods
Dialogic (Discussion, conversation, brainstorming), Methods for working with texts (Textbook, book), Activating (Simulation, games, dramatization), Practice exercises
  • Home preparation for classes - 10 hours per semester
  • Participation in classes - 28 hours per semester
  • Term paper - 25 hours per semester
  • Preparation for course credit - 27 hours per semester
prerequisite
Knowledge
unspecified
unspecified
learning outcomes
describe the methods of solving tasks focused on numerical operations
describe the methods of solving tasks focused on numerical operations
explain methods leading to solving equations
explain methods leading to solving equations
clarify the principles of solving geometric problems
clarify the principles of solving geometric problems
describe the procedure for solving combinatorial problems
describe the procedure for solving combinatorial problems
explain the procedure for solving application tasks
explain the procedure for solving application tasks
Skills
apply methods for solving equations
apply methods for solving equations
solve tasks focused on numerical operations
solve tasks focused on numerical operations
appropriately apply problem solving methods focused on geometry
appropriately apply problem solving methods focused on geometry
perform calculation of application tasks
perform calculation of application tasks
appropriately choose a method of solving problems with a focus on mathematical, financial and statistical literacy
appropriately choose a method of solving problems with a focus on mathematical, financial and statistical literacy
teaching methods
Knowledge
Dialogic (Discussion, conversation, brainstorming)
Dialogic (Discussion, conversation, brainstorming)
Methods for working with texts (Textbook, book)
Methods for working with texts (Textbook, book)
Activating (Simulation, games, dramatization)
Activating (Simulation, games, dramatization)
Practice exercises
Practice exercises
assessment methods
Written examination
Analysis of seminar paper
Analysis of seminar paper
Written examination
Recommended literature
  • Učebnice základní školy, časopisy, sbírky úloh.
  • Hecht, T., & Sklenarikova, Z. Metódy riešenia matematických úloh. Bratislava: SPN, 1992.
  • Hejný, M., & Kuřina, F. Dítě, škola a matematika.. Praha: Portál, 2001.
  • Larson, L. C. Metódy riešenia matematických problémov.. Bratislava: Alfa, 1990.
  • Pavlovičová, G., Švecová, V., & Záhorská, J. Pavlovičová, G., Švecová, V., & ZáMetódy riešenia matematických úloh pre štúdium učiteľstva pre primárne vzdelávanie. Nitra: UKF v Nitre, 2010.


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