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Basics of planimetry - NMTM106

Title:	Základy planimetrie
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	summer
E-Credits:	4
Hours per week, examination:	summer s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	RNDr. Vlasta Moravcová, Ph.D. RNDr. Jana Hromadová, Ph.D.
Incompatibility :	NMUM106
Interchangeability :	NMUM106
Is incompatible with:	NMUM106
Is interchangeable with:	NMUM106

Opinion survey results Examination dates SS schedule Noticeboard

Annotation -

Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)

Didactic approach to teaching planimetry in upper secondary school. Deepening and extending the secondary school planimetry curriculum with an emphasis on the synthetic method of problem solving and appropriate teaching methods.

Course completion requirements -

Last update: RNDr. Vlasta Moravcová, Ph.D. (21.02.2024)

The course ends with credit and an exam.

Conditions for obtaining credit:

active participation in exercises, 3 absences are allowed

writing a credit test at the end of the semester (one regular and two corrections terms)

Literature -

Last update: RNDr. Vlasta Moravcová, Ph.D. (06.03.2024)

Moravcová V., Hromadová J.: Základy planimetrie pro učitelské studium. Matfyzpress, Praha, 2021.

(dostupné z: https://karlin.mff.cuni.cz/~morava/Zaklady_planimetrie.pdf)

Moravcová V., Hromadová J.: Sbírka úloh k Základům planimetrie pro učitelské studium. Matfyzpress, Praha, 2023.

(dostupné z: https://karlin.mff.cuni.cz/~morava/Sbirka_planimetrie_final.pdf)

Kuřina F.: Deset pohledů na geometrii. MÚ AV ČR, Praha, 1996.

Eukleidovy Základy. Přeložil F. Servít, JČM, Praha, 1907.

Lávička M.: Syntetická geometrie. ZČU Plzeň, 2007.

Kadleček J.: Geometrie v rovině a v prostoru pro střední školy. Prometheus, Praha, 1996.

Pomykalová E.: Matematika pro gymnázia - planimetrie. Prometheus, Praha, 2008.

Hejný M.: Aj geometria naučila člověka myslieť. SPN, Bratislava, 1990.

Requirements to the exam -

Last update: RNDr. Vlasta Moravcová, Ph.D. (21.02.2024)

The requirements for the exam correspond to the course syllabus to the extent that was presented in the lecture.

The exam can only be taken after the credit has been obtained.

The exam takes place orally and can be taken in one regular and two resit terms.

Syllabus -

Last update: RNDr. Vlasta Moravcová, Ph.D. (14.06.2019)

Basis of axiomatic approach in Euclidean geometry, structure of Euclidean geometry in school education. Theorems of plane geometry and their proofs. Properties and constructions of plane shapes. Transformations in a plane.