Course topics: Geometry modelled by folding paper. Geometry in a square grid, geodesic and its use. Geometric solids and their networks. Regular polyhedra, semi-regular polyhedra, prisms, antiprismas, icells and their nets. The plane and space-filling Use of suitable building blocks (Polydron, Geomag). Principles and practical application of pop-up geometry.
Information sheetSupervisors and educators:
doc. PaedDr. Milan Pokorný, PhD. - Zodpovedný za elearning, Kogarant
doc. RNDr. Dušan Holý, CSc. - Zabezpečuje, Hlavný garant
PaedDr. Soňa Švecová, PhD. - Zabezpečuje, Prednášajúci, Cvičiaci, Skúšajúci, Zodpovedný za elearning, Kogarant, Vedúci semináru
Code: YMIM302
Period: LS
Credits: 3
- Pedagóg: Milan Pokorný
- Pedagóg: Soňa Švecová
Course topics: The Internet in mathematics education. Multimedia products suitable for supporting the teaching of mathematics in lower and upper secondary education. Interactive applications in mathematics education. Systems for creating electronic tests in mathematics. The use of computer algebra systems (CAS) in mathematics education. Dynamic geometry software and its appropriate and effective use in mathematics education.
Information sheetSupervisors and educators:
PaedDr. Jana Fialová, PhD. - Zabezpečuje, Moderátor debaty, Prednášajúci, Vedúci semináru, Kogarant, Zodpovedný za elearning, Skúšajúci, Cvičiaci
doc. PaedDr. Milan Pokorný, PhD. - Kogarant, Zodpovedný za elearning
doc. RNDr. Dušan Holý, CSc. - Zabezpečuje, Hlavný garant
Code: YMIM301
Period: ZS
Credits: 3
- Pedagóg: Jana Fialová
- Pedagóg: Milan Pokorný
Course topics: The best known and most widely used school information systems (SIS) in Slovak schools. Edupage, eSchool (Bachelors) and others. Structure and basic functions of SIS. Basic features, characteristics and description of possibilities and functions provided by SIS. Pupil book, classification sheet. Communication with pupils and parents. Thematic plans and SIS. Class teacher\'s agenda in the SIS. SIS from the administrator\'s and teacher\'s point of view. Departmental information system. Information systems in higher education from the student\'s perspective.
Information sheetSupervisors and educators:
PaedDr. Veronika Gabaľová, PhD. - Zabezpečuje, Cvičiaci, Skúšajúci, Zodpovedný za elearning, Kogarant, Prednášajúci
Ing. Milan Štrbo, PhD. - Prednášajúci, Kogarant
doc. PaedDr. Milan Pokorný, PhD. - Kogarant
prof. Ing. Veronika Stoffová, CSc. - Zabezpečuje, Hlavný garant
Code: YMIM405
Period: ZS
Credits: 3
- Pedagóg: Veronika Gabaľová
Course topics:
Information sheetSupervisors and educators:
doc. PaedDr. Milan Pokorný, PhD. - Zabezpečuje, Skúšajúci, Cvičiaci, Kogarant, Zodpovedný za elearning, Prednášajúci, Vedúci semináru
doc. RNDr. Dušan Holý, CSc. - Zabezpečuje, Hlavný garant
Code: YMIM391
Period: ZS
Credits: 3
- Pedagóg: Milan Pokorný
Course topics: Graphs. Basic concepts, adjacency matrix, graph representation, vertex degrees, vertex distance, contiguity, travel. Graph search algorithms. Independence and coverage. Eulerian graphs. Hamiltonian graphs. Planar graphs. Graph colouring. Trees, skeletons, binary trees. Graph algorithms. Applications in computer science.
Information sheetSupervisors and educators:
doc. PaedDr. Milan Pokorný, PhD. - Zabezpečuje, Vedúci semináru, Skúšajúci, Kogarant, Prednášajúci, Zodpovedný za elearning, Cvičiaci
prof. Ing. Veronika Stoffová, CSc. - Zabezpečuje, Hlavný garant
Code: XMIB130
Period: ZS
Credits: 3
- Pedagóg: Milan Pokorný
Course topics: Descriptive statistics. Tables, graphs, numerical characteristics. Binomial and normal distribution. Statistical hypothesis testing. T-test, U-test, Wilcoxon test, Chi-square test and their use in educational research. All solved in Excel. Appropriate interpretation of results.
Information sheetSupervisors and educators:
doc. PaedDr. Milan Pokorný, PhD. - Zabezpečuje, Zodpovedný za elearning, Cvičiaci, Prednášajúci, Skúšajúci, Vedúci semináru, Kogarant
doc. RNDr. Dušan Holý, CSc. - Zabezpečuje, Hlavný garant
Code: XMIB015
Period: ZS
Credits: 3
- Pedagóg: Milan Pokorný
Course topics: Mathematical, financial and database functions of the Microsoft Excel spreadsheet and their effective use in solving specific mathematical problems (matrices, integral sums, graphs of functions, basic problems in financial mathematics, algebra, mathematical analysis, mathematical statistics and probability, ...). Effective use of the computer algebra system in solving problems such as modifying expressions, equations and systems of equations, graphical representation of functions, limits, derivatives, approximations by Taylor polynomials, integration, sums, vectors, matrices, etc. The use of dynamic geometry software in solving planimetric problems. The use of dynamic geometry software in solving stereometric problems.
Information sheetSupervisors and educators:
PaedDr. Jana Fialová, PhD. - Zabezpečuje, Vedúci semináru, Zodpovedný za elearning, Cvičiaci, Prednášajúci, Skúšajúci, Kogarant
doc. PaedDr. Milan Pokorný, PhD. - Zodpovedný za elearning, Kogarant
doc. RNDr. Dušan Holý, CSc. - Zabezpečuje, Hlavný garant
Code: XMIB018
Period: LS
Credits: 3
- Pedagóg: Jana Fialová
- Pedagóg: Milan Pokorný
Course topics: Didactics of mathematics and its position in the system of sciences. Curriculum documents. Didactic principles in the teaching of mathematics. Appropriate teaching methods. Heuristics, reasoning and hypothesis formation in mathematics education. Communication in mathematics. Motivation in the teaching of mathematics. The personality of the mathematics teacher: professional preparation, lifelong learning, professional development. Didactical analysis of thematic units in the areas of Numbers, variable and numerical operations with numbers and Sequences, relations, functions, tables, diagrams (ISCED 2, ISCED 3A). Presentation and analysis of model lessons.
Information sheetSupervisors and educators:
PaedDr. Veronika Gabaľová, PhD. - Kogarant
doc. PaedDr. Milan Pokorný, PhD. - Zabezpečuje, Skúšajúci, Cvičiaci, Prednášajúci, Kogarant, Zodpovedný za elearning
doc. RNDr. Dušan Holý, CSc. - Zabezpečuje, Hlavný garant
PaedDr. Soňa Švecová, PhD. - Zodpovedný za elearning, Skúšajúci, Kogarant, Vedúci semináru
Code: YMIM005
Period: ZS
Credits: 5
- Pedagóg: Milan Pokorný
- Pedagóg: Soňa Švecová