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Any competent tutor after one or two lessons can assess the prospects of this student. And they depend, of course, not so much on the level of knowledge, but on the "learning ability" of the child. In mathematics, this implies, first of all, the ability to memorize the necessary techniques, the ability to reproduce them, and use the acquired knowledge in practice varsity tutor reviews. The category of students who are doing well with such abilities, and problems with academic performance exist solely due to a lack of knowledge, and practice of solving problems - the most "rewarding" in terms of "return" from classes.