When I use Chrome I see the tags, just as Lisa has described.

When I use Firefox, I only see the {quote} and {/quote} tags, which is generally helpful. But if I add a link to a post, then I don't see the tags in the dialogue box: it looks just as it would once the post is made.

I prefer using Firefox when I'm on AW for this reason alone: seeing all the tags is intrusive and distracting, and makes reviewing my comments here much more difficult for me.