Irina Sechkina

The current stage of organization students independent work in mathematics at technical universities requires comprehensive use of new information and pedagogical technologies. In particular, in the preceding classroom sessions, it is recommended to integrate elements of pedagogical technology of knowledge synthesis. The attributes of this technology are conceptual, systematic, diagnostic goal formation and performance, handling, efficiency, reproducibility and correct ability. These properties of the pedagogical technology allow to improve the organization of students classroom independent work to master mathematics at a technical university. The use of new information technologies (Moodle, HomeLisp, etc.) goes well with the pedagogical technology, because it allows to develop synthetic nature tasks for in-class and extracurricular independent work of students.

The method of analogy in teaching mathematics sometimes leads to formalism in students' knowledge. To avoid the phenomenon of formalism, it is recommended to match the method of analogy with the synthesis of knowledge. The method of analogy plays a major role in the organization of higher mathematics practical classes, when the teacher makes the students to allow the standard algorithms for common tasks and the set of synthetic nature that can be performed by analogy. Multivariate solution of the same problem allows to match the method of analogy with the pedagogical technology of knowledge synthesis.