Setting standards in mathematics

Magistrska naloga temelji na vprašanju, ali je mogoče ovrednotiti nivoje standardov znanj matematike na različnih stopnjah in smereh izobraževanja. V nalogi smo primerjali zahtevnosti nalog, ki se pišejo na posameznih zunanjih preverjanjih: na nacionalnem preverjanju znanja v zadnjem razredu osnovne šole, na poklicni maturi in na splošni maturi. Najpomembnejša ugotovitev naloge je dejstvo, da je možno stabilno ter zanesljivo razvrstiti naloge z različnih ravni. Na podlagi podatkov iz let 2017, 2018 in 2019 ugotovimo tudi, da je v teh letih težavnost poklicne mature umeščena približno na sredino med težavnost nacionalnega preverjanja znanja in težavnost splošne mature.The thesis is based on the question, if it is possible to evaluate the grade of mathematical knowledge on different levels and fields of education. We compare item difficulties from several external examinations: national assessment in the final year of elementary school and graduation exams for general high schools and vocational high schools (general and vocational matura). We arrive to the conclusion, that it is possible to grade the item difficulties reliably and consistently. Based on the information from the years 2017, 2018 and 2019 we discovered, that the difficulty of the vocational matura examination in mathematics is approximately in the middle between the elementary school exam and general high school graduation exam