Proverbs 4

In verse 3 the writer recalls a memory of receiving instruction from his father. I wonder if David taught Solomon lessons by singing him songs? I picture times in the palace when sat down near his children with his lyre and began playing children's songs that spoke thelogical messages that they would understand. I can almost hear the King singing an ancient Jewish version of "This little light of mine" and "Oh Be careful little eyes what you see." I wonder if David wrote children's songs about wisdom and doing right? I wonder if some of the psalms we have preserved were intended for the tongues of children?
I read this passage in about 2 minutes.
Stuart