Toast the pecans in a skillet with 1 Tablespoon of butter and set them aside.
Preheat oven to 325 degrees.
Add the softened butter to a large bowl.
Next, add the sugar and mix the two ingredients with an electric mixer.
Add the flour and mix well. (The shortbread cookie dough will be very crumbly).
Pour the vanilla extract into the dough and mix.
Finally, add the chopped pecans and mix.
Pour half of the crumbly cookie dough onto a large piece of parchment paper and roll dough into a log.
Do it again with the other half of the cookie dough.
Refrigerate for one hour.
Remove the log from the refrigerator and slice each cookie about 1/2-inch thick and place on a cookie sheet.
Bake for 20-25 minutes or until the cookies are golden brown around the edges.