Search

V magistrskem delu analiziramo in primerjamo uspešnost učencev in dijakov pri reševanju podobnih nalog na nacionalnem preverjanju znanja iz fizike in na tekmovanju Čmrlj. Na podlagi teh podatkov sklepamo, ali so naloge na nacionalnem preverjanju znanja (NPZ) v povprečju bolj ali manj zahtevne, kot naloge na tekmovanju Čmrlj ter ali se za udeležbo na tekmovanju ob vstopu v srednjo šolo odločijo le najbolj uspešni učenci na področju fizike, ali udeležba na tekmovanju ni izrazito pogojena z znanjem fizike. Vzorec zajema dijake, ki so se udeležili šolskega tekmovanja in učence, ki so pisali preizkuse NPZ. Analizo dopolnimo z lastno raziskavo, v kateri je test, sestavljen iz parov podobnih nalog na NPZ in na tekmovanju reševala skupina učencev devetih razredov dveh naključno izbranih osnovnih šol. In the thesis we analyse and compare the results of students for similar problems at the national assessment of knowledge of physics (NPZ) and at the Čmrlj competition. Based on these data we infer whether on average the tasks at the national assessment of knowledge are more or less demanding than the problems at the Čmrlj competition. Further we are addressing the question of the participants at the Čmrlj competition: are there only the most successful students in the field of physics participating or is the participation in the competition more general, not directly dependent on the previous interest and success of a student in the field of physics. The sample includes high school students attending the school competition and students attending the NPZ. The analysis is supplemented by our own study: two groups of the ninth grade pupils at two randomly selected schools were solving a test, composed of pairs of similar problems from previous NPZ tests and Čmrlj competitions.

Obravnavamo inverzijo ravnine glede na krožnico, potenco točke glede na krog in ortogonalne krožnice. Osnovna literatura je ustrezno poglavje knjige Osnove moderne elementarne geome- trije avtorja Howarda Evesa. Inversion in a circle, the power of a point with respect to a circle and orthogonal circles are considered. The basic literature is Howard Eves: Modern Elementary Geometry.