There are no prerequisites.
Mathematics for gifted students *
Different mathematical problems and challenges that emphasize understanding and independent problem solving are presented. Problems we work on are independent and consist of classical geometry problems, number theory problems, linear algebra problems, topology, game theory and other problems. We deal with classical problems from mathematical competitions. All the sesions are designed as problem solving sessions. Students also work very practically with gifted high school students for 15 school hours.
- B. Burn, A. Chetwynd: A cascade of numbers : an introduction to number theory, London : Arnold, cop. 1996.
- J. R. Silvester: Geometry : ancient and modern, Oxford : Oxford University Press, 2001.
- A. M. Yaglom, I. M. Yaglom: Challenging mathematical problems with elementary solutions. Vol. 1, Combinatorial analysis and probability theory, San Francisco : Holden-Day, 1964.
- A. M. Yaglom, I. M. Yaglom: Challenging mathematical problems with elementary solutions. Vol. 2, San Francisco : Holden-Day, cop. 1967.
Acquired understanding and skills to work with gifted students on demanding problems.
Knowledge and understanding of advanced elementary high school mathematical contents.
Problem solving, lectures, exercise sesions, homework, consultations. Students work with high school students.
Homework, project work, class performances.
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)
Damjan Kobal:
KOBAL, Damjan. Technology and simple math ideas inspire teaching. V: ICME - 12 : the 12th International Congress on Mathematical Education, July 8-15, 2012, COEX, Seul, Korea. Cheongju: Korea National University of Education, 2012, 7 str. [COBISS-SI-ID 17151577]
KOBAL, Damjan, et al. Integrating algebra and geometry with complex numbers. V: International Seminar in Mathematics Education 2011. Park City: Park City Mathematics Institute - Institute for Advanced Study, cop. 2013, 9 str. [COBISS-SI-ID 17152345]
KOBAL, Damjan. Inner product space and circle power. Publicationes mathematicae, ISSN 0033-3883, 2012, vol. 81, fasc. 1-2, str. 1-9. [COBISS-SI-ID 16336473]
KOBAL, Damjan. Bijections preserving invertibility of differences of matrices on H [sub] n. Acta mathematica Sinica, English series, ISSN 1439-8516, 2008, vol. 24, no. 10, str. 1651-1654. [COBISS-SI-ID 15588441]
Matjaž Konvalinka:
KONVALINKA, Matjaž, Seminar "Moderni izzivi poučevanja matematike", Fakulteta za matematiko in fiziko, Ljubljana, 20.-21.september 2013. Catalanova števila. Ljubljana, 21. 9. 2013. [COBISS-SI-ID 17227353]
KONVALINKA, Matjaž, FMF seminar za učitelje matematike, Fakulteta za matematiko in fiziko, Ljubljana, 21. - 22. september 2018. Gessel-Viennotova lema in determinante v kombinatoriki : Ljubljana, 22. 9. 2018. [COBISS-SI-ID 18576473]
ZAJC, Gal. Prostornine pravilnih politopov : matematika. Ljubljana: Gimnazija Bežigrad, 2019. 54 str., ilustr., mentorica Jasna Kos, somentor Matjaž Konvalinka [COBISS-SI-ID 2057090]
FISCHER, Ilse, KONVALINKA, Matjaž. The mysterious story of square ice, piles of cubes, and bijections. Proceedings of the National Academy of Sciences of the United States of America. Sep. 2020, vol. 117, no. 38, str. 23460-23466, ilustr. [COBISS-SI-ID 27280643]