Course: Didactics of mathematics III

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Course title Didactics of mathematics III
Course code UMB/022
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study 2
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 Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Kalová Jana, doc. RNDr. Ing. Ph.D.
Course content
Content of this course is to intensify one´s knowledge, use different teaching methods, forms of evaluation and testing. The course is also mediation and transfer of experience practitioners, knowledge of information sources and trends in education. 1. Preparing teacher to teach students with different level, motivating tasks, elementary tasks, problem solving. 2. Classroom organization, differentiated approach to students, feedback. 3. Information resources, textbooks, web resources, portals, mathematical journals for teachers and students, proceedings of conferences. 4. Mathematical Olympiad, mathematical competition, exhibition of student's works. 5. Introduction to web applications available for math education, electronics learning tools. 6. Use of mathematical software in specific areas of teaching mathematics. 7. Interactive whiteboard in math teaching. 8. Understanding trends in education, school reform, state graduation in mathematics, changes in education. 9. General revision more thematic units in secondary school math, context of individual parts, differentiated approach to students. 10. Optional mathematical seminars and workshops at secondary school, teaching materials. 11. Testing, administered comparative tests, evaluation methods. 12. Secondary school-leaving exam, state and school exam, preparing for entrance exam at universities according to type of study. 13. Preparation of teaching, making of a mathematical text, information about text editors, LaTex. 14. Applied tasks for secondary school math. 15. Experience from abroad.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Projection, Work with multi-media resources (texts, internet, IT technologies)
  • Preparation for classes - 80 hours per semester
  • Preparation for credit - 10 hours per semester
  • Preparation for exam - 20 hours per semester
  • Class attendance - 52 hours per semester
Learning outcomes
This course follows the courses Didactics of mathematics I and Didactics of mathematics II. Students will gain skills for successful managing everyday work of a secondary-school teacher.
Students will acquire skills necessary for managing their practical stay at secondary schools.
Prerequisites
Perfect knowledge of secondary school curriculum on a high-school level.

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
  • Sborníky úloh MO / Proceedings of Mathematical Olympiad problems.
  • www.jcmf.cz.
  • www.novamaturita.cz.
  • www.rvp.cz.
  • Hejný, Milan a kol. 25 kapitol z didaktiky matematiky. 2004. ISBN 80-7290-189-3.
  • Polák, Josef. Didaktika matematiky. 2014. ISBN 978-80-7238-449-5.
  • Polák, Josef. SŠ matematika v úlohách II. Prometheus, 2011. ISBN 80-7196-116-3.
  • Polák, Josef. SŠ matematika v úlohách I. Prometheus, 1996. ISBN 80-7196-337-2.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (2012) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter