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  1.  

    Is this something easy, well known, just not to me? ... Sometimes there is a question with lots of interesting material. For example http://mathoverflow.net/questions/23478/examples-of-common-false-beliefs-in-mathematics . And sometimes it comes up on the front page, something new was added 23 minutes ago. So I click on it. How do I find what that new thing added was? Something short of searching all 6 pages and opening all the comment blocks.

  2.  

    There are three tabs on the right, just above the list of answers: oldest, newest, and votes. Clicking on any of them will sort the answers accordingly. However, the question will also be bumped when an existing answer is edited, and I don't know if edited answers will be counted as the time of the latest edit, or when the original answer was posted, when sorting by oldest/newest. Also I am fairly certain a new comment will not bump the thread, only a new or edited answer, so no need to expand all the comment blocks.

  3.  

    Edited answers are counted as the time of the original answer, as far as I know.

  4.  
    Occasionally, a question returns to the front page with nothing addded. This happens to questions that have no accepted answer; you can tell those because the front page will attribute them to "MathOverflow". I think that editing the tags will bump something to the front page. I think if someone posts an answer which then gets deleted, that will bump the question to the front page, and only those with enough points will get to see the addition/deletion. There may be other things I'm not thinking of that will send something to the front page.
  5.  

    Editing a deleted answer also bumps the question, I think.

  6.  

    Often when a question appears inexplicably bumped, it's because an answer was added and then deleted; I think this is more common than deleted answers getting edited.