Abstract
The article highlights the problem of developing universal learning activities of students at Mathematics lessons. It is proposed to use the didactic potential of tasks with a parameter developing cognitive universal learning activities while studying mathematics. By solving tasks with a parameter, students need to be able to show quite advanced logical reasoning, to work accurately with the range of permissible values of the variable and the parameter, i.e. they should demonstrate high level of logical thinking and mathematical culture. Therefore, it can be argued that when using such tasks in the process of teaching mathematics, it is possible to form and develop logical, symbolic and exploratory learning activities (according to A.G. Asmolov). The authors present a set of training exercises for the development of cognitive universal learning activities on the basis of various tasks with a parameter used during the Unifi ed State Examination mass testing in 2017.
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