The goal of the study is to provide graduates with complete master education which will prepare them for the profession of a mathematics teacher at the lower and upper secondary schools of all types. The study is based on the balance of cognitive, didactic and pedagogic-psychological parts of teacher education.
The goal of the study is to provide graduates with complete master education which will prepare them for the profession of a mathematics teacher at the lower and upper secondary schools of all types. The study is based on the balance of cognitive, didactic and pedagogic-psychological parts of teacher education. An emphasis is put on the use of didactic innovations in the teaching of mathematics with regard to the up-to-date didactic conceptions. The graduates will be prepared for the construction of school educational programmes with the focus on the integration of various areas of mathematics (arithmetic, algebra, geometry, statistics, financial mathematics, etc.) and various educational fields. The graduates will acquire sufficient amount of knowledge and skills to work in a differentiated way with pupils talented for mathematics.
Description of the entrance examination and evaluation criteria
1. Oral exam. Maximum number of points is 30 (2 questions, 15 points each).
The oral examination consists of problem solving and a theoretical part.
The applicant is asked to bring a list of completed mathematical courses with brief syllabuses from the previous university study.
2. Oral exam – assessing the applicants’ general awareness of pedagogy and psychology, and their motivation to study the chosen subjects – a maximum score of 30 points.
Total score – 60 points maximum.
Basics of mathematics (mathematical logic, sets); positional systems, divisibility tests, Diophantine equations, Euclidean algorithm, congruence; linear algebra (matrices, determinants, systems of linear equations, vector spaces, linear mappings); relational structures (order, equivalence); polynomials (algebraic and functional definitions of the polynomial, divisibility, algebraic and numerical solutions to equations); vectors, shapes in E2, E3, E4 and their incidence relationships studied via vectors; coordinate systems, basis; algebraic structures (group, field, ring, homomorphism, isomorphism); geometric transformations in a synthetic and analytic ways in E2: congruencies in plane (combination, classification, group of congruence); similar transformations in plane (classification, group of similarities); homothety (Monge theorem, Menelaus theorem); affine transformations in A2 (classification, synthetic and analytic descriptions, group of affine transformations); circle inversion, problems of Appolonius; conics (affine and metric properties); elementary functions; calculus (continuity, limit and derivative – definition, properties, calculation; properties of functions continuous on an interval; mean value theorem; maximum and minimum; properties of a function and the construction of its graph); integrals (primitive function and definite integral – definition, properties, calculation; use in geometry, improper integral); differential equations (simple equations with independent variables, linear differential equations of the first order; linear differential equations of the second order with constant variables – general solution and solution with an initial condition); number sequences and series (number sequences – properties, limit of a sequence and its calculation; number series – properties, convergence criteria for series with non-negative terms, alternating series, absolute and non-absolute convergence).
Conditions for admission
Candidates are admitted to study if they meet all admission requirements:
1. to deliver a certified copy of completion of Bachelor’s degree programme,
2. to pass an entrance examination and reach at least one point in each part and reach required number of points determined by the Dean
Information on the exercise of graduates
Graduates gain knowledge and skills necessary for the profession of a fully qualified mathematics teacher at the lower and upper secondary levels. They have rich mathematical, didactic and pedagogic-psychological education. They can apply modern didactic methods and forms of work in a creative way in their teaching of mathematics at different levels and types of schools. They are able to identify both talented pupils and pupils with special needs in mathematics and provide them with appropriate help. They can work outside the school system, for instance, in media, offices and institutions aimed at education and work with talented pupils in mathematics. They can continue their education within the PhD study in Mathematics Education.