Heat oven to 350°F. Line two baking sheets with parchment.
Cream butter and 1/2 cup powdered sugar in a bowl until light and fluffy.
Mix in vanilla and salt until combined.
Add flour in two additions, mixing just until a soft dough forms.
Fold in the chopped pecans evenly.
Chill the dough for about 10 minutes to make it easier to shape.
Scoop tablespoon portions and roll into smooth 1-inch balls. Arrange 2 inches apart on the sheets.
Bake 12 minutes, or until set and barely golden on the bottoms.
Cool 5 minutes, then roll warm cookies in powdered sugar. Cool fully and roll a second time.