Keyword: «open problem»

Based on the analysis of the transition state of the educational sphere from one educational paradigm to the other one, the article discusses the problem of interrelation of key competencies and universal learning performances as the intended learning outcomes. Transformation of the main function of the education content from the purpose of learning to the means of achieving new educational outcomes is emphasized. The concept "activity-based learning unit" is revealed on the example of competency-based assignments through demonstration of their structure, determining their purpose in the educational process of comprehensive schools, introduction of various classifications and modifications, and also ways of designing such assignments and tasks.

The materials of the article include the compilation, analysis and structuring of open problems for mathematics lessons, the introduction of the concept of "open" and "closed" problems. The article also presents the results of the experience conducted to assess the effectiveness of a creative approach to solving open problems.