Abstract
This article deals with the problem of formation of coherent skills of students when teaching them mathematics in modern information society. The author considers learning technologies and means of building cognitive skills in students, which best contribute to this goal. Methodological projects of application in mathematical education of students of training in cooperation, design and problem training, as well as network training are presented. The article considers various means of cognitive skills formation, which can be used by the teacher of higher school. These include joint development of educational content, implementation of educational network projects, training in the «inverted class» model, on mass open online courses, in network educational communities. Special attention is paid to the organization of educational activities of students in the network educational community. An analysis of the benefits of education in the online education community allowed the author to make one aware of the feasibility of using them in the educational process. It is proposed to use one of the virtual educational environments – Sakai platform, which provides great opportunities in designing its own information environment to support the educational process, for the organisation of online student education and cooperation.
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