Digital mathematical laboratory works as a modern tool for forming the student-researcher
In the context of the accelerating digitalization of society, the formation of functionally competent, research thinking of students is a difficult, but very important task. It seems that mathematics is one of the most convenient disciplines for this. And corresponding to the solution of the problem, a convenient form of conducting classes is laboratory work in mathematics (LWM). Indeed, LWM can be based on a mathematical model of some real phenomenon or process; in the course of performing LWM, adolescents will have to conduct a full-scale and/or virtual experiment using modern digital equipment, with digital processing of the data obtained; it may be necessary to refine or modernize the constructed mathematical model or experimental scheme. As an illustration, the authors present several approved digital laboratory works in mathematics, including those using the capabilities of the Digital Laboratory for Mathematics, produced by Scientific Entertainment LLC (Moscow). Observing the progress of the work has shown that laboratory work in mathematics, especially accompanied by a wide, but expedient, use of digital tools, arouses the active interest of modern adolescents. There is a noticeable shift in the thinking of students from the reproductive level of simple instructional execution to a partial research and even research level. Consistently solving the experimental and/or theoretical problems that arise when performing LWM, a teenager understands his deficiencies in certain sections of mathematics, and consciously fills them up, either independently or with the help of a teacher. At the same time, both specific skills and the personality (self) of a student citizen-researcher are formed.