The article tells about the essence of cognition process; creative thinking starts with an insight, which is a sudden elucidation of the general idea, structure or situation. In this context guessing is based on the formed concepts and schemes, as we can enunciate only the things, which our knowledge and language are capable of. Consequently, cognition is a translation of the accumulated information into a customary language, provided that this language should be relatively rich. Mathematics as a cognitive tool is a language and a prepared device for a research in science and technology, due to the informatization and computerization process. Mathematics classes form not only the competencies, related to logical thinking, but also such characteristic features as a skill and a habit of time-consuming intense activity, strictness, determination and discipline, laconic and accurate phrasing.
cognition, teaching, creative thinking, competencies formation, mathematics.
Согласно Федеральному государственному образовательному стандарту основного общего образования, по которому уже сейчас учатся шестиклассники, у каждого выпускника школы должны быть сформированы готовность и способность к саморазвитию и самообразованию на основе мотивации к обучению и познанию, осознанный выбор и построение дальнейшей индивидуальной траектории образования с учетом устойчивых познавательных интересов [7].
1. Kuptsov M.I., Maskina M.S., Tenyaev V.V. Integral’nyy kriteriy otsenki kachestva matematicheskogo obrazovaniya vypusknika shkoly [Integral criterion for assessing the quality of the mathematical education of a graduate school]. Profi l’naya shkola [Profi le school]. 2016, I. 3, pp. 46-52.
2. Kuptsov M.I., Vidov V.S., Maskina M.S., Tenyaev V.V. K voprosu o professional’nom standarte pedagoga, prepodayushchego matematiku [To the question of the professional standard of a teacher teaching mathematics]. Nauchnoe obozrenie. Gumanitarnye nauki [Scientific review. The humanities]. 2015, I. 1, pp. 73-76.
3. Mader V.V. Vvedenie v metodologiyu matematiki [Introduction to the methodology of mathematics]. Moscow, Interpraks Publ., 1995. 464 p.
4. Maskina M.S. Obuchenie dokazatel’stvu matematicheski odarennykh uchashchikhsya na fakul’tativnykh kursakh. Kand. Diss [Teaching evidence for mathematically gifted students in elective courses. Cand. Diss]. Saransk, 2003. 187 p.
5. Maskina M.S., Moiseev S.A. Organizatsiya samostoyatel’noy raboty pri izuchenii distsiplin matematicheskogo tsikla [The organization of independent work while studying the disciplines of the mathematical cycle]. Informatsionnye tekhnologii i matematicheskie metody v deyatel’nosti UIS i obrazovanii: materialy mezhvuzovskogo kruglogo stola [Information technologies and mathematical methods in the activity of MIS and education: materials of interuniversity round table]. Ryazan’: Akademiya FSIN Publ., 2014, pp. 45-50.
6. Naziev A.Kh. Gumanitarno orientirovannoe obuchenie matematike v obshcheobrazovatel’noy shkole [Humanitarian-oriented instruction in mathematics in a comprehensive school]. Ryazan’: RIRO Publ., 1999. 112 p.
7. Ob utverzhdenii federal’nogo gosudarstvennogo obrazovatel’nogo standarta osnovnogo obshchego obrazovaniya: prikaz Ministerstva obrazovaniya i nauki RF ot 17.12.2010 N 1897 [On the approval of the federal state educational standard of basic general education: the order of the Ministry of Education and Science of the Russian Federation of 17.12.2010 N 1897]. Rossiyskaya gazeta [Rossiyskaya Gazeta]. 2010.
8. Froydental’ G. Matematika kak pedagogicheskaya zadacha [Mathematics as a pedagogical problem]. Moscow, Prosveshchenie Publ., 1982, V. 1, 208 s.
