Actually Intelligence cannot be taught. Intelligence is the ability to process facts, feelings, ect. See OP definition.
Wisdom can and is gained.
How often do you hear of a Wise 1st grader? But now and then a 1st grader comes along like unto my own son, who after my persisting, was tested to see if he qualified for the school's enrichment program where they pull the more nerdy kids out of class a few times a week and encourage under-fed brains...like taking that Ferrari you've been commuting in rush hour's stop & go traffic with all week out for a little midnight spin and opening the throttle up more than it has seen all week. Turns out part of why he has had behavior issues in class is the boy is bored. They tested his IQ, that is Intelligence quotient - measuring his ability to think, not measuring what he KNOWS. The angelic little imp scored in at an IQ in the top 1% of the aggregate numbers of all people who take IQ tests. God blessed the little child with intelligence.
Now lets see if he can have the wisdom to not have another problem at the daycare again this week... <sigh>I'm so not gonna try to explain that.