Is there a single word or phrase for becoming more learned/smarter/knowledgeable through one's experiences?
The particular sentence I want it for is:
A child becomes ____ as it grows older and interacts with its surroundings.
It sounds like you are describing wisdom.
A child becomes wise as it grows older and interacts with its surroundings.
Often used in the context of a particular aspect of the environment. Wise in the ways of men, for example.
Wisdom: the quality of having experience, knowledge, and good judgment; the quality of being wise. synonyms: sagacity, intelligence, sense, common sense, shrewdness, astuteness, smartness, judiciousness, judgment, prudence, circumspection; More the soundness of an action or decision with regard to the application of experience, knowledge, and good judgment.