It is well known that children often repeat things that their parents say or do, this is a form of observational learning that is quite common not only for children but for all people and animals as well.
Observational Learning occurs when a model (the person being observed) performs a behaviour that is reinforced. This reinforced behaviour is likely to be repeated by the observer due to the appetitive nature of the consequence. If the consequence was punishable or undesirable, it is less likely that the behaviour would be repeated by the observer.
Powell, R.A., Symbaluk, D.G., & Honey, P.L. (2017). Introduction to learning and behavior (5th edition). Toronto, ON: Thomson/Wadsworth.
Stimulus Enhancement is often seen in infants, in which they show increased interest in objects that they have observed others playing with or manipulating.
This form of social learning, is the cause for many screaming matches between siblings wanting the same toy.
Powell, R.A., Symbaluk, D.G., & Honey, P.L. (2017). Introduction to learning and behavior (5th edition). Toronto, ON: Thomson/Wadsworth.