On waxed paper, combine flour, baking soda, and salt.
In large bowl, with mixer on medium speed, beat butter and sugar 1 minute or until creamy, occasionally scraping bowl with rubber spatula. Add egg and vanilla, beat until well mixed. Reduce speed to low; gradually beat in flour mixture just until blended, occasionally scraping bowl. **This recipe calls for butter with no substitutions because the butter not only gives the best flavor, but also makes the dough more manageable. Margarines and spreads are too soft to produce a dough that can be rolled easily.
Cover with plastic wrap; refrigerate 1 hour for easier handling.
Heat oven to 400*.
Lightly flour your rolling surface, roll out 1/3 of the dough at a time. Keep remaining dough refrigerated.
Place cut cookies about an inch apart on ungreased cookie sheets.
Bake 5 to 9 minutes or until edges are lightly golden brown. Remove immediately from cookie sheets place onto cooling racks.