Cognitive and reflexive role of culturological thinking in mathematical knowledge and university education

Natalia V. Mikhailova, Cand. Sc. (Philosophy), Docent of Department of Physical and Mathematical Disciplines at Institute of Information Technologies of the Belarusian State University of Informatics and Radio Electronics, Minsk, Belarus, e-mail: n.mikhajlova@bsuir.by

The most important problematic realities of our time include the increasing role of mathematical education in the intellectual component of worldview being. The intellectual aspect of the cognitive-reflexive role of the logical culture of thinking in mathematical knowledge suggests that it should be attributed to the most important cognitive competence that regulates the mechanism of thinking. The article discusses the phenomenon of logical thinking culture and cognitive-reflexive approaches to its analysis. Logic organizes and orders thinking, freeing from conservatism when choosing research methods, developing cognitive-logical communication skills. The ability to express your thoughts logically and clearly is an ideal simulator not only for mathematicians, but also for general intellectual development. Therefore, logical problems turn out to be key in university education.

Keywords: critical reflection, formal logic, mathematical knowledge, thinking culture, cognitive understanding

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