Course: Introduction to didactics of mathematics

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Course title Introduction to didactics of mathematics
Course code KMT/EFS
Organizational form of instruction Lecture + Seminary
Level of course Bachelor
Year of study 1
Semester Winter and summer
Number of ECTS credits 2
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)
  • Huclová Miroslava, PhDr. Ph.D.
  • Hložek Filip, Ing. Mgr.
  • Hora Jaroslav, Doc. RNDr. CSc.
Course content
1. System of curriculum documents of the Czech Republic, Framework educational programmes at state levels, School educational programmes. Educational area Mathematics and its applications for primary and secondary schools. 2. Expected outcomes of the thematic area Number and Variable according to the RVP ZV and RVP G. Solving corresponding problems. Methodology of solving problems, working with error, motivation. Standards for primary education. Development of key competences in the given curriculum. 3. Expected outcomes of the thematic area Geometry in plane and space according to RVP ZV and RVP G. Solving corresponding problems. Methodology of problem solving, working with error, motivation. Basics of drawing, drawing technique and work with pupils. Standards for primary education. Development of key competences in the curriculum. 4. Expected outcomes of the thematic area Dependencies, relationships and work with data according to RVP ZV and Dependencies and functional relationships according to RVP G. Solving the corresponding problems. Methodology of problem solving, working with error, motivation. Standards for primary education. Development of key competences in the given curriculum. 5. Expected outcomes of the thematic area Working with data, combinatorics, probability and Argumentation and verification according to RVP G. Solving appropriate problems. Methodology of problem solving, working with error, motivation. Standards for primary education. Development of key competences in the given curriculum. 6. Development of digital competences in mathematics: use of digital technologies in teaching, DigCompEdu European framework of digital competences for teachers. Teachers' professional competences, teachers' pedagogical competences, promotion of digital competences

Learning activities and teaching methods
Lecture, Seminar
  • Preparation for comprehensive test (10-40) - 40 hours per semester
  • Contact hours - 26 hours per semester
  • Preparation for formative assessments (2-20) - 20 hours per semester
prerequisite
Knowledge
knowledge of the topics covered is assumed to be at the (good) secondary school level
Skills
skills at (good) secondary school level are assumed in the topics covered
Competences
N/A
learning outcomes
Knowledge
knows the system of curriculum documents of the Czech Republic
knows the content of individual subject areas according to the RVP ZV
Skills
describes the content of individual thematic areas according to the RVP ZV
is familiar with the system of curriculum documents of the Czech Republic
Competences
N/A
teaching methods
Knowledge
Lecture
Seminar
Skills
Seminar
Competences
Situation....
assessment methods
Knowledge
Seminar work
Skills
Seminar work
Competences
Seminar work
Recommended literature
  • Anděl, Jiří. Matematika náhody. Praha, 2004.
  • Dlouhý, Zbyněk. Úvod do matematické analýzy : Učebnice pro pedagog. fakulty /.
  • Hora, Jaroslav. Matematická analýza : pomocný učební text pro studenty 1. ročníku. 5. upr. vyd. Plzeň : Západočeská univerzita, 2004. ISBN 80-7043-298-5.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
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Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (19) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): English Language in Education (19) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (19) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (18) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Geography in Education (16) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (19) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Geography in Education (19) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (17) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (17) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physics in Education (19) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Geography in Education (18) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (19) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (19) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Music in Education (19) Category: Art and applied art 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (16) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (18) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (18) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physical Education in Education (17) Category: Physical education and sport 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (16) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (16) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (18) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physical Education in Education (18) Category: Physical education and sport 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (17) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Geography in Education (17) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (16) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physical Education in Education (19) Category: Physical education and sport 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (17) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (17) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physics in Education (17) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physics in Education (16) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter