Give and Receive Peer Advice

When it comes to giving peer advice, sometimes I don't like doing it. Not because I don't want to read the different essays(because some of them are interesting), but because I don't know how some people may take it. I know that in order to get better, you have to correct what's wrong but I think some people get upset when they get critiques. I try to stay away from correcting their grammatical errors, because I shouldn't be solely focused on that, I should focus on the point of the paper and how it all flows together. However, sometimes I do think if I don't correct it, the teacher will count off points and I wouldn't want that for them. For me, critiquing is all in the approach. I try to say things like: "maybe you should try this" or "The paper may flow better if you add this...", instead of, "this paper sounds stupid" or "You need to fix all them mistake you got".  When it comes to receiving peer advice, I feel as if I can take it, because it helps me to make my paper(s) better.