MUC82 Didactics of Mathematics 2

Faculty of Science
Autumn 2025
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
prof. RNDr. Radan Kučera, DSc. (lecturer)
doc. RNDr. Jaromír Šimša, CSc. (lecturer)
Mgr. Aleš Kobza, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Radan Kučera, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 16:00–17:50 M5,01013
  • Timetable of Seminar Groups:
MUC82/01: Thu 14:00–15:50 M4,01024, A. Kobza
MUC82/02: Thu 18:00–19:50 M4,01024, A. Kobza
Prerequisites (in Czech)
M8501 Didactics of Mathematics 1 || MUC81 Didactics of Mathematics 1
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
At the end of the course students should be ready to teach all high-school's mathematical topics; to teach high-school mathematics practically.
Learning outcomes
At the end of the course students should be ready to teach all high-school's mathematical topics; to teach high-school mathematics practically.
Syllabus
Preparation of students for teaching standard plane geometry topics of high-school math: Sine and Cosine Rule, Basic facts on euclidean plane geometry, Ruler and compass constructions of geometric loci of points, Elementary theorems on triangles and circules, Similar triangles and their applications, Isometric plane transformations, their properties and classification, Symmetries, Translations, Rotations, Similarity plane transformations, Homotheties and their applications.
Literature
    recommended literature
  • Hejný Milan a kol. Teória vyučovania matematiky 2. Bratislava: Slovenské pedagogické nakladatelstvo, 1989, 554 s.
  • Cyklus učebnic: Matematika pro gymnázia. Praha: Prometheus, 1990-1995.
  • HEJNÝ, Milan and Pavel ŠALOM. Matematika D : učebnice pro 2. stupeň ZŠ a víceletá gymnázia. Illustrated by Lukáš Urbánek. 2. vydání. Praha: H-mat, o.p.s., 2022, 80 stran. ISBN 9788088247371. info
  • HEJNÝ, Milan; Pavel ŠALOM; Jana HANUŠOVÁ and Anna KUŘÍK SUKNIAK. Matematika EF : příručka učitele. 1. vydání. Praha: H-mat, o.p.s., 2019, 184 stran. ISBN 9788088247098. info
  • HEJNÝ, Milan; Pavel ŠALOM; Jana HANUŠOVÁ; Darina JIROTKOVÁ and Anna KUŘÍK SUKNIAK. Matematika CD : příručka učitele. 1. vydání. Praha: H-mat, o.p.s., 2017, 192 stran. ISBN 9788090575691. info
  • POLÁK, Josef. Didaktika matematiky : jak učit matematiku zajímavě a užitečně. 1. vydání. Plzeň: Fraus, 2016, 158 stran. ISBN 9788074893261. info
  • Dvacet pět kapitol z didaktiky matematiky. Edited by Milan Hejný - Jarmila Novotná - Naďa Vondrová. Praha: Univerzita Karlova v Praze - Pedagogická fakulta, 2004, viii, 212. ISBN 8072901893. info
  • HEJNÝ, Milan; Valent ZAŤKO and Pavel KRŠŇÁK. Geometria : pre študentov matematiky učitel'ského štúdia na univerzitách a pedagogických fakultách. 1. vyd. Bratislava: Slovenské pedagogické nakladatel'stvo, 1985, 362 s. info
Teaching methods
Lectures with seminars supported by reading textbooks.
Assessment methods
Exam consists of both written and oral part. To enter the oral part, gaining at least 50% of points from the written exam is necessary.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (recent)
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