MUC83 Modern trends in teaching high-school mathematics

Faculty of Science
Spring 2027
Extent and Intensity
0/2/0. 1 credit(s). Type of Completion: z (credit).
In-person direct teaching
Teacher(s)
prof. RNDr. Radan Kučera, DSc. (lecturer)
RNDr. Jakub Novák (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 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
Abstract
Aim of the course is to help student with precise answering the question "What does modern teaching mean?" and to acquaint the student with didactic tools and methods which allow him to lead his/her courses of mathematics in accordance with this answer.
Learning outcomes
At the end of this course, students should be able to: emphasize interdisciplinary relationships between mathematics and other subjects, create application problems from various fields of human endeavor, use foreign web sites and suitable didactic tools in preparing of his/her lessons, choose a suitable didactic method for classes with respect to age and reasoning skills of his/her students.
Key topics
  • 1. Modern vs. Traditional Teaching: What does it mean?
  • 2. The Future of the Mathematics Teacher Profession.
  • 3. The Hejný Method of Teaching Mathematics (Bc. Vojtěch Frybert, ZŠ a MŠ Brno, Kotlářská 4)
  • 4. Digital Technology, Educational Software, and Gamification.
  • 5. Artificial Intelligence in Mathematics Education.
  • 6. Student Assessment and Evaluation.
  • 7. Competencies, Lesson Objectives, and Educational Programs.
  • 8. Differentiated Instruction.
  • 9. Constructivism, Project-Based Learning, Tandem Teaching, and CLIL.
  • 10. Financial Literacy.
  • 11. Critical Thinking.
  • 12. Application Problems and Mathematical Modeling in Education.
  • 13. Final Course Reflection.
Study resources and literature
  • HEJNÝ, Milan and Pavel ŠALOM. Matematika / autoři: Milan Hejný, Pavel Šalom ; ilustrace: Lukáš Urbánek. Illustrated by Lukáš Urbánek. 1. vydání. Praha: H-mat, o.p.s., 2017, 80 stran. ISBN 9788090575684. info
  • FUCHS, Eduard and Eva ZELENDOVÁ. Matematika v médiích. Využití slovních úloh při kooperativní výuce na základních a středních školách. 1st ed. Praha: Jednota českých matematiků a fyziků, 2015, 121 pp. ISBN 978-80-7015-145-7. info
  • AMBROSE, Susan A. How learning works : seven research-based principles for smart teaching. Edited by Richard E. Mayer. 1st ed. San Francisco, CA: Jossey-Bass, 2010, xxii, 301. ISBN 9780470484104. info
  • WILLINGHAM, Daniel T. Why don't students like school? : a cognitive scientist answers questions about how the mind works and what it means for your classroom. 1st ed. San Francisco: Jossey-Bass, 2009, 180 s. ISBN 9780470279304. info
  • Theory of didactical situations in mathematicsdidactique des mathâematiques, 1970-1990. Edited by Guy Brousseau - Nicolas Balacheff. Boston: Kluwer Academic Publishers, 1997, xix, 304 p. ISBN 0792345266. info
Approaches, practices, and methods used in teaching
A seminary: two hours a week. Discussion, problem solving.
Method of verifying learning outcomes and course completion requirements
Credit awarded on the basis of seminar attendance (2 absences are allowed), active participation in solving applied mathematical problems (1x presentation) and in final summary.
Language of instruction
Czech
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, Spring 2025, Spring 2026.
  • Enrolment Statistics (Spring 2027, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2027/MUC83