Course title  Didactics of mathematics II 

Course code  UMB/021 
Organizational form of instruction  Lecture + Lesson 
Level of course  Master 
Year of study  1 
Frequency of the course  In each academic year, in the summer semester. 
Semester  Summer 
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 mathematics methods and theories with the focus to secondary school curriculum, work method statements, organization of math teaching, explanation of educational materials and resources. Thematic units follow secondary schools curriculum, part of this is supported by mathematical software. 1. Planning and preparation for teaching, motivation of students, parts of lessons, feedback, preparation of educational materials and record keeping. 2. Teaching and assessment methods in mathematics, influence and importance of ICT using. 3. Students with different levels of mathematical talent, communication with students in mathematic. Methodology: 4. Goniometry and trigonometry, application, mathematical software. 5. Plane geometry, shapes, maps, sets and algebra, mathematical software. 6. Plane geometry, construction, mathematical software. 7. Combinatorics and probability, mathematical software. 8. Statistics, data, mathematical software. 9. Space geometry, mathematical software. 10. Solid geometry, volumes, surfaces, link to integral, mathematical software. 11. Sequences, series, limits, infinity, convergence and divergence, application, mathematical software. 12. Vector algebra, systems of linear equations, mathematical software. 13. Analytical geometry, 2D, 3D, algebra, mathematical software. 14. Analytical geometry, conic section, functions, mathematical software. 15. Secondary school calculus. 16. 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 
This course follows the course Didactics of mathematics I with a goal 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 knowledge of secondary school curriculum on a highschool level. This course follows the course Didactics of mathematics I.
UMB/CV020  or  UMB/020 
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: Summer 
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: Summer 
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: Summer 
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: Summer 