Problem-Oriented Approach to Synthesis of Mathematics and Philosophy in Pedagogical Innovation

UDC 51:1

https://doi.org/10.20339/AM.02-23.010

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

The paper shows that innovation in mathematics education can be seen as a creative process of implementing methodological and technological innovations to improve its effectiveness, which primarily reflects the creative potential of the teacher of mathematics. Innovations in the system of mathematical training of engineering students are based on the conceptual content of the problem-oriented approach to the synthesis of mathematics and philosophy, which in the philosophy of mathematical education becomes the most important methodological component of the quality of pedagogical innovations of the educational process.

Keywords: problem-oriented approach, synthesis of mathematics and philosophy, pedagogical innovation.

References

1. Erovenko, V.A. Actualization of the artifact: the worldview problem of the interaction of mathematics and philosophy. Philosophy and Social Sciences. 2008. No. 3. P. 44–50.

2. Yusufbekova, N.R. Pedagogical innovation: emergence and formation. Bulletin of the Moscow City Pedagogical University. Pedagogy and Psychology series. 2010. No. 4. P. 8–17.

3. Mikhailova, N.V. Problem-oriented justification of modern mathematical analysis. Mathematical structures and modeling. 2017. No. 4. P. 53–59.

4. Ershov, Y.L. Preface. In: Problem-oriented approach to science: Philosophy of Mathematics as conceptual pragmatism. Novosibirsk. 2001. P. 3–6.

5. Mikhailova, N.V. A systematic approach in the philosophical justification of problem-oriented areas of mathematics. Liberal Arts in Russia. 2020. Vol. 9. No. 1. P. 24–34.

6. Ardashkin, I.B. Problematic methodology as one of the ways of innovative organization of the educational process. Philosophy of Education. 2009. No. 4. P. 91–97.

7. Guts, A.K. Philosophical seminar of mathematicians in Omsk state university. Mathematical structures and modeling. 2022. No. 4. P. 53–59.