Classic works of mathematics education - OENMM2117Z

• Title: Classic works of mathematics education
• Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
• Faculty: Faculty of Education
• Actual: from 2021
• Semester: winter
• E-Credits: 4
• Examination process: winter s.:
• Hours per week, examination: winter s.:0/0, MC [HS]
• Extent per academic year: 10 [hours]
• Capacity: unknown / unknown (20)
• Min. number of students: unlimited
• 4EU+: no
• Virtual mobility / capacity: yes / 15
• Key competences: critical thinking, 4EU+ Flagship 2
• State of the course: taught
• Language: English
• Teaching methods: distance
• Teaching methods: distance
• Note: enabled for web enrollment; priority enrollment if the course is part of the study plan
• Guarantor: prof. RNDr. Ladislav Kvasz, DSc., Dr.

Annotation

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (11.07.2021)

The aim of the course is to get the students acquainted with some of the classical works in mathematics education. The course has the form of a seminar, where students will read and discuss selected passages from the works of George Polya, Imre Lakatos and Hans Freudenthal.

Descriptors

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (02.09.2022)

The lessons will be organised as follows (the link to the online teaching will be sent to the participants):

14. 10. 2022 11:40-14:10

12. 11. 2022 13:45-17:00

2. 12. 2022 14:45-16:15

16. 12. 2022 11:40-14:10

7. 1. 2023 10:45-13:15

Literature

Last update: Kateřina Esserová, DiS. (06.07.2021)

Freudenthal, H. (1972): Mathematics as an Educational Task, Springer.

Klein, F. (1908): Elementary Mathematics from an Advanced Standpoint.

Lakatos, I. (1972): Proofs and Refutations. Cambridge University Press.

Polya, G. Mathematical Discovery: On Understanding, Learning, and Teaching Problem Solving.

Syllabus

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (09.07.2021)

We will begin with the book of George Polya: Mathematical Discovery, On Understanding, Learning, and Teaching Problem Solving and we will discuss the concept of heuristics. Second will be the book of Imre Lakatos(1972): Proofs and Refutations and we will focus on creating concepts and definitions. As a third work we will discuss Hans Freudenthal (1972): Mathematics as an Educational Task, in terms of the relationship between mathematics and the real world. Finally, we will return to the past of didactics of mathematics to the book of Felix Klein (1908): Elementary Mathematics from Advanced Standpoint.

Entry requirements

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (11.07.2021)

Keen interest in mathematics and its teaching and the knowledge of at least secondary school mathematics.

Course completion requirements

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (11.07.2021)

A seminar work on the topic assigned by the lecturer and its presentation during the seminar.

Learning resources

Last update: prof. RNDr. Naďa Vondrová, Ph.D. (11.07.2021)

https://dl1.cuni.cz/course/view.php?id=7867

Online teaching in MS Teams.