MUC81 Didactics of Mathematics 1

Faculty of Science
Spring 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)
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
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
Course objectives
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.
Syllabus
  • 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.
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.
Teaching methods
Lectures with exercises on solving problemes supported by reading textbooks.
Assessment methods
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
The course is taught annually.
The course is taught: every week.
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.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/spring2025/MUC81