The child is not able to see from another's point of view, either psychologically or physically. This is called irreversibilitycentrationegocentrism and is characteristic of the formal operationalpreoperationalconcrete operational stage.

The child is able to plan a series of coordinated movements in order to get what he wants. This is called object permanencegoal-directed behavioursymbolic thought and first appears in the formal operationalpreoperationalsensorimotorconcrete operational stage.

Children first become capable of logically dealing with the concepts of time, number and space in the preoperational stageformal operationalconcrete operational stage. 

Children or teenagers who are able to solve the pendulum problem by isolating variables show the kind of haphazardsystematic and concretelogical thinking that is characteristic of the formal operationalconcrete operational stagepreoperational stage.

Children who display the ability to complete these three tasks are able to conserve (a) massvolumenumber, (b) numbermassvolume and (c) massnumbervolume. This suggests that they can mentally rewind a process, which is called reversibilitydecentrationirreversibility, and also take into account more than one aspect of a problem in order to solve it. This is called centrationegocentrismdecentration. These skills, according to Piaget, are characteristic of the sensorimotorconcrete operationalformal operational stage stage.

Children or teenagers who can mentally simulate a range of complex future possibilities in a speculative situation are displaying the capacity of concretereversiblehypothetical thought, which is characteristic of the preoperationalformal operational concrete operational stagestage.