Course title  Didactics of mathematics I 

Course code  UMB/020 
Organizational form of instruction  Lecture + Lesson 
Level of course  Master 
Year of study  1 
Frequency of the course  In each academic year, in the winter semester. 
Semester  Winter 
Number of ECTS credits  6 
Language of instruction  Czech 
Status of course  Compulsory 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Lecturer(s) 


Course content 
Content of this course is pedagogical interpretation of mathematical theories and practices focusing on the content of secondary school curriculum. Thematic units follow secondary schools curriculum, part of these is supported by mathematical software. 1. Definition of mathematical concept, determining of subject, personality of the teacher of mathematics, strategy of his work, motivation of students, organization of education 2. Cognitive process, formalist approach, transmission model and constructivist concept 3. Mathematical thinking, its content, scope, ontogeny and phylogeny, methodology 4. Communications with students in mathematics, equipment, importance and impact of ICT on students 5. Assessment, classification, students with different mathematical talent Methodology: 6. Classification of numbers, natural numbers, integers, divisibility, rational numbers, discrete set and its visualization 7. Irrational and real numbers, limits, infinity, continuity 8. Complex numbers, applications, mathematical software 9. Mathematical logic, mathematical proof 10. Variable, basic arithmetic and algebra, expression, polynomial, equation, function 11. Set, cartesian product, relation, map, function and its properties, derivative 12. Elementary functions, calculus, mathematical software 14. Systems of linear and nonlinear equations, inequalities, matrices, context with geometry, mathematical software 15. Problems and solutions of mathematical olympiad (continuously)

Learning activities and teaching methods 
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Projection, Work with multimedia resources (texts, internet, IT technologies)

Learning outcomes 
The goal of this course is to link knowledge of mathematics, didactics and pedagogical disciplines and to train students to manage their teaching at secondary school.
Students will acquire skills necessary for managing their practical stay at secondary schools. 
Prerequisites 
Perfect level of high school math knowledge.

Assessment methods and criteria 
Oral examination, Student performance assessment, Test, Interim evaluation
 active attendance of practicals  at least 70% points from one written test  exam: successfully answered questions from one topic 
Recommended literature 

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

Faculty: Faculty of Science  Study plan (Version): Secondary Schools Teacher Training in Mathematics (1)  Category: Pedagogy, teacher training and social care  1  Recommended year of study:1, Recommended semester: Winter 
Faculty: Faculty of Science  Study plan (Version): Secondary Schools Teacher Training in Mathematics (1)  Category: Pedagogy, teacher training and social care  1  Recommended year of study:1, Recommended semester: Winter 
Faculty: Faculty of Science  Study plan (Version): Secondary Schools Teacher Training in Mathematics (1)  Category: Pedagogy, teacher training and social care  1  Recommended year of study:1, Recommended semester: Winter 
Faculty: Faculty of Science  Study plan (Version): Secondary Schools Teacher Training in Mathematics (2012)  Category: Pedagogy, teacher training and social care  1  Recommended year of study:1, Recommended semester: Winter 