Abstract

A mathematical model for determining the knowledge level of graduates of general secondary education institutions is proposed based on statistics that reflect the results of external independent testing. On the basis of this model, the knowledge level of graduates in each subject was determined separately and summarized in the whole by regions of Ukraine, as well as by profile of education in general educational institutions and types of settlements in which the educational institution was located. Territorial differences in the knowledge level of graduates in the regions of Ukraine have been traced. In 2018, 185349 graduates of general secondary education institutions participated in the EIT. The highest number of graduates who participated in the EIT was observed in Kyiv, Dnipropetrovsk, Lviv, Kharkiv and Odessa regions, and the smallest in Chernivtsi, Sumy, Kirovograd, Ternopil and Luhansk regions. The average level of knowledge in Ukraine is 47.3 points, which is extremely low, since on aver­age graduates receive less than half of the points. Students demonstrate the highest level of knowledge of foreign languages and Ukrainian language and literature, and the lowest level of knowledge of physics and mathematics. Based on EITs, graduates of the Physics and Mathematics profile and Foreign Philology profile demonstrate the best knowledge level, while students of Biology and sports training profiles demonstrate the lowest level of knowledge. Graduates who have studied in urban settlements are better at EIT than graduates from rural settlements. Based on the calculated knowledge level of graduates, we have identified 4 types of regions: above the aver­age level of knowledge – city Kyiv, Lviv, Kharkiv, Sumy, Ternopil regions; average level of knowledge – Volyn, Cherkasy, Kyiv, Poltava, Khmelnytsky, Chernihiv, Vinnytsia, Dnipropetrovsk, Ivano-Frankivsk, Donetsk, Zaporizhia regions; below the average level of knowledge – Zhytomyr, Kirovograd, Lugansk, Odessa, Rivne. Mykolaiv, Kherson regions; low level of knowledge – Chernivtsi and Transcarpathian regions.

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