For example, children who are at the level of perceptual movement make mistakes when completing a task, and still don't know how to return to the original starting point, nor can they make assumptions or inferences according to the transformation.
Because to do this, you need to master the operation ability of reversible operation. Only when a child can reverse the chronological order of events in his mind can he analyze the time process into its components, and construct the invariance of logic and consider assumptions.
Extended data:
Although reversibility only appears when children enter the stage of operational thinking, reversible structure originates from the action activities of the subject. As early as the formation of the actual displacement group in the perceptual movement stage, reversibility has already begun to take effect. The reversibility of displacement will produce a similar invariance, that is, in the form of "object permanence"
However, it is obvious that the reversibility of this kind of action is incomplete when perceiving the level of movement, because children at this level still lack psychological representation, so they still need to make a transition to real reversibility-internalization and operational reversibility.
A characteristic of children's development to specific operational thinking stage (7 ~ 1 1 year). There are two main manifestations of reversible thinking: ① reversibility or negativity, that is, when the reverse operation is combined with the corresponding forward operation, the whole will disappear, such as+a-a = 0; ② Reciprocity or symmetry, that is, when A>b, then B > A is its reciprocal. There is a reciprocal relationship between the left and right of the child and the left and right of the opposite person.
Baidu Encyclopedia-Reversibility of Thinking