Strategy of Reconstructing as a Mental Mechanism for Solving a Creative Mathematical Problem
DOI:
https://doi.org/10.32626/2227-6246.2019-43.147-166Keywords:
creative mathematical thinking, understanding, forecasting, approbation, reconstructing, mental trend, mental strategy.Abstract
The article deals with the issues of psychological essence of mechanisms for
solving a creative mathematical problem.
According to the results of the analysis of research in mathematical thinking,
its creative character has been stated and an approach to its study has
been identified through the analysis of dominant mental activities in solving
creative mathematical problems. The author has distinguished three components
of the process: the process of understanding, the process of forecasting
and approbation process. It has been established that reconstructing actions
occur throughout all components of the process of creative mathematical
thinking, and the analysis of reconstructing in such processes has been carried
out.
It has been found out that in some cases the mental actions of reconstructing
become mental tendencies and can take place during either one process
component or several components, turning into prevailing mental trends,
and lead to the effectiveness of the search process. The emphasis has been put
on the significance of subjective confidence in quality of the obtained result, in
possibility of reconstructing of mental actions with the use of reconstructing.
It has been proved that in case when the tendency for reconstructing
prevails throughout all the process components and the subject receives the
subjective confidence in the correctness of his actions, this tendency is transformed
into a mental strategy of reconstructing, which provides a positive result
of the mental search process aimed at solving a creative mathematical
problem.
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