Who won the week or month?
As I understand it there is no way of knowing who won at the end of a time period (i.e. week or month), all we can see is our progress as we go along and at the end of the time period the scores are reset. It would be nice if we could either have an email or be notified through the Duolingo program what the places were for the last time period amongst our friends.
What do you mean? If you are talking about the scoreboard, this does not tell you who won at the end of the week unless you happen to have it up to date as the clock strikes 12.
Score_board is a user who follows people with the highest points, and usually at the end of the week updates who had highest points for the week and month.