Mnemonic Schemes in the Methodology of Integral Mathematics
https://doi.org/10.31161/1995-0659-2024-18-2-114-119
Abstract
The aim is to identify the categorical (most general) properties of connections between methodological objects, to formalize the structural unity of parts of similar objects of different subject areas in the form of certain logical schemes, called mnemonic schemes, which allow remembering basic facts and knowledge about related (affine) or similar (isomorphic) structures and concepts.
Methods. In achieving this goal, the most effective methods turned out to be complex, systemic and multilingual analysis, which play a key role in constructing the structures of complex methodological objects, facilitating the memorization of their basic properties using mnemonic methods.
Results. Analyzing educational activities in the context of a competency-based approach, it is proposed to combine cognitive, creative and multilingual components based on mnemonic schemes. By identifying logical diagrams of the structures of basic subject knowledge in mathematics, similarities are revealed in the construction of linguistic structures that play an important role in the digitalization of texts in arbitrary languages.
Conclusions. The expediency of combining ideas and methods of various subject areas on the basis of logical schemes that are invariant with respect to transitions from one knowledge representation model to another is substantiated. Mnemonic schemes turn out to be such invariants, and the expansion of the concepts of various subject areas is carried out on the basis of the categorical principles of minimality and invariance of integral mathematics and the principle of unification in mnemonic technology.
About the Author
G. A. Yarakhmedov
Gamzatov Dagestan State Pedagogical University
Russian Federation
Russian Federation
Gadzhiakhmed A. Yarakhmedov, Ph. D. (Physical and Mathematical), associate professor, Professor of RAE, the chair of Higher Mathematics, Gamzatov Dagestan State Pedagogical University
Makhachkala
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Review
For citations:
Yarakhmedov G.A. Mnemonic Schemes in the Methodology of Integral Mathematics. Dagestan State Pedagogical University. Journal. Psychological and Pedagogical Sciences. 2024;18(2):114-119. (In Russ.) https://doi.org/10.31161/1995-0659-2024-18-2-114-119
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