The first one is just to keep up with the teacher's progress, finish homework carefully and practice more.
The second kind is some naughty children, who start to be sensible earlier and learn knowledge more easily. These children are mainly brought up in a relaxed family environment, and their parents are more enlightened or pedantic. In a word, they don't care much about their children's study.
The third is to look to the future and base on the present. They accepted good ideological guidance, understood the depth of mathematics, and with a humble heart, they were not satisfied with the knowledge of primary schools, nor did they despise the knowledge of primary schools. This kind of children mainly follow experienced parents or teachers, and through the guidance of these elders, they come into contact with the mathematical world and understand its profundity, so they are rigorous and modest.