Mathematical Abilities in the Research of Foreign and Domestic Scientists
In the article, on the basis of a wide range of studies, the views of foreign and domestic scientists on the specifi cs of mathematical abilities are presented, a comparative analysis of approaches is given and their structure is described. The most important cognitive characteristics of mathematically gifted students are described: the ability to memorize mathematical information, the ability to build and use mathematical structures, the ability to reverse the direction of thought, the ability to capture complex structures and work with them, the ability to build and use mathematical analogies, mathematical sensitivity and mathematical creativity. The most frequently encountered problems of mathematically gifted students are indicated: asynchronous development, problems of socialization, as well as problems with self-learning. The main features of mathematical abilities are generalized: the ability to generalize; logical and formalized thinking; fl exibility and depth, systematic, rational and reasoned reasoning; mathematical perception and memory.