Cream butter and confectioner's sugar until light and fluffy. Add chopped nuts, vanilla, and blend in the flour gradually. Mix well.
Scoop dough into balls (about 2 ounces) and pat down with your hand until slightly flattened. Bake for 15-20 minutes until edges just begin to brown. Allow cookies to cool and roll in the additional confectioner's sugar. (These cookies can also be made into small balls.)
This recipe is from Cafe Chew at 4 Merchant's Road in Sandwich.