What term means having a knowledge of something which results in recognition of value and increased observation?

incidental listening.

appreciation

Explanation:

Appreciating something means acknowledging its full value and importance, and giving it the recognition and admiration it deserves. The process is positive and includes the expression of gratitude and affection for something.

In the terms of art, it takes the knowledge of aesthetics, theory, and history in order to have the full critics and evaluation, and therefore the appreciation of the piece. While in general appreciation can be felt following personal basis and preference, the purpose of the art criticism is to conclude the parameters and rational basis for the appreciation of the art. This should result in the high enjoyment and better observation of the art in it's full glory.