1)  Beat the butter with the sugar.
(2)  Add the egg and vanilla and beat until you  get  a
      uniform mixture.
(3)  Mix the flour and baking  powder  and  gradually
      blend  them  into the mixture.  When you're done,
      you should have a rather sticky dough.
(4)  Shape the dough into balls, about 1 inch in diameter.
      Roll  them  in  sugar and  place them on an
      ungreased cookie sheet, leaving about an  inch  of
      space between cookies,  so that they don't stick
      together when they expand.
(5)  Bake in preheated  oven  at  350 deg.  F  for  20
       minutes.
(6)  Remove from oven, let them cool for a  while,  and
      start eating right away.
NOTES : (Makes 2-3 dozen cookies)