The Paths of Righteousness

He restores my soul. He guides me in paths of righteousness for his name’s sake. (Psalms 23:3)
Last night the expression "paths of righteousness" stood out in my mind. I began to think about it, and what it had to do with God's name's sake.
It came to me that we are not interpreting the term "righteousness" correctly. We have been taught so much about "justification" that we are confusing the two terms. If I understand the true definitions, "justification" has to do with God's approval of us. It is not something one can see.
David would not say, "He guides me in paths of justification for His name's sake. Why not? Because "righteousness" is a description of behavior that God approves. Justification is not a description of behavior.
The normal use of the word "righteous," as it would be employed by a person of the world, describes behavior. "He is a righteous man" as used by the average person would mean the individual is a person of integrity. He is honest, faithful, kind, truthful, and so forth.
However, we Christians many times use the word "righteous" to mean imputed righteousness. We do not behave righteously, but God says we are righteous because we "accept Christ."
Jesus said, "Let your light shine among men that they may see your good works and glorify God." This can mean only righteousness of behavior, because imputed righteousness cannot be seen.
It seems to me that "He guides me in paths of righteousness for His name's sake" is referring to the fact that when people see our good works they will glorify God. This is why God leads us in paths of righteousness—it is for His name's sake, that is, so people will glorify God.