Preheat oven to 325 ℉. Line two baking sheets with parchment paper.
Place butter in a mixing bowl or the bowl of your standing mixer. Beat butter for about two minutes until very creamy. Add brown sugar and maple extract and continue to beat until fluffy. Add flour and salt and blend until well integrated. Finally stir in 1 cup of the finely chopped toasted pecans and mix well. The mixture will be rather thick at this point.
Place dough on a large sheet of plastic wrap and roll into a log, 2-inches in diameter. You can make 2 or 3 logs, if it’s easier! Completely wrap the dough in plastic wrap and refrigerator for about 30 minutes to firm up.
Remove dough from the refrigerator and slice the logs into 1/4-inch rounds. Place rounds on prepared baking sheets.
Bake for approximately 20-25 minutes, or until cookies begin to look golden brown. Turn the tray 180° halfway through the baking. Remove from oven and cool completely.
Once cooled, dip each cookie in the maple icing (recipe below) to cover half of the cookies. Immediately sprinkle coarsely chopped pecans over the icing so they stick to the moist icing. Allow icing to harden before storing cookies. *Note - if you plan to make the cookies ahead, store them before icing them and ice them when you are ready to serve them. The icing can make the cookies too soft, if you store them with the icing on.
*Note - if you plan to make the cookies ahead, store them before icing them and dip them in the icing up to a few hours before you’re ready to serve them. The icing can make the cookies a little soft, if you store them with the icing on.