I'd also like to throw in my 2 cents. A low-intelligence, high wisdom person would be very perceptive, but might have trouble with things that aren't immediately in front of him. To put it another way, he isn't very strongly aware of things' continued existence when he can't see them anymore. If someone covers his eyes, he may not know that it's dark because his eyes are covered, he may think it's nighttime.
For example, he is in one room of a house with an angry man. After a conversation, he learns that the man is very angry because of his wife. The character decides to help the man, because being angry is bad. He then walks into the next room of the house, and sees a woman crying. He has no idea who she is, and probably won't draw the conclusion that she is the wife of the angry man unless told explicitly. At this point, he might sympathize with the upset wife and forget about the angry husband.
Yeah, it ends up being a little cheesy and comic sometimes, but that's more because we laugh at stupidity (I do anyway) and accurately depicting it is funny.