MUC81 Didactics of Mathematics 1

Faculty of Science
Spring 2026
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
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. 2. to Fri 22. 5. Mon 16:00–17:50 M1,01017
  • Timetable of Seminar Groups:
MUC81/01: Mon 16. 2. to Fri 22. 5. Thu 18:00–19:50 M3,01023, J. Šimša
MUC81/02: Mon 16. 2. to Fri 22. 5. Thu 16:00–17:50 M6,01011, A. Kobza
MUC81/03: Mon 16. 2. to Fri 22. 5. Thu 18:00–19:50 M6,01011, A. Kobza
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Abstract
At the end of the course student should be ready:
to understand and to explaín all high-school's mathematical topics;
to teach high-school mathematics practically.
Learning outcomes
At the end of the course student should be ready:
to understand and to explaín all high-school's mathematical topics;
to teach high-school mathematics practically.
Key topics
  • Systematic introduction to the didactics of mathematics.
  • Importance of mathematical education.
  • Specific features of teaching math.
  • Aspects of maths education in different schools due to their various intending as well as to intellectual skills of their students.
  • Checking and testing of students' knowledge of mathematics and its marking.
  • Methods of solving maths problems.
  • Preparation of students for teaching standard topics of high-school maths: Basic notions of set theory, Introduction to mathematical logic, Proofs, Method of induction, Elementary number theory, basic number domains. Algebraické výrazy, rovnice a nerovnice. Exponential a logarithmic functions, equations and inequalities. Goniomteric functions, equations and inequalities.
Study resources and literature
    recommended literature
  • Hejný Milan a kol. Teória vyučovania matematiky 2. Bratislava: Slovenské pedagogické nakladateĺstvo, 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
  • POLÁK, Josef. Didaktika matematiky : jak učit matematiku zajímavě a užitečně. 1. vydání. Plzeň: Fraus, 2016, 158 stran. ISBN 9788074893261. info
  • HEJNÝ, Milan and František KUŘINA. Dítě, škola a matematika : konstruktivistické přístupy k vyučování. Třetí vydání. Praha: Portál, 2015, 232 stran. ISBN 9788026209010. info
  • HEJNÝ, Milan; Pavel ŠALOM; Jana HANUŠOVÁ; Darina JIROTKOVÁ and Anna KUŘÍK SUKNIAK. Matematika AB : příručka učitele. Illustrated by Lukáš Urbánek. Praha: H-mat, 2015, 214 stran. ISBN 9788090575622. info
    not specified
  • 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
Approaches, practices, and methods used in teaching
Lectures with exercises on solving problemes supported by reading textbooks.
Method of verifying learning outcomes and course completion requirements
Exam consisting of two parts: a written tests and an oral examination. Only students with regular attendance at exercises and active participation in their program will be admitted to the exam. This will be confirmed by a credit in the notebook.
Language of instruction
Czech
Follow-Up Courses
Further Comments
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/spring2026/MUC81