Place the butter in small saucepan over medium heat. Once melted, the butter will begin to foam. Keep stirring until the butter begins to turn a light amber color. The foam will subside and you will have little brown specks (milk solids) at the bottom of the pan. Then, pour the butter, along with the brown bits into a large bowl. Cool for 30 minutes.
Place the pecans in a dry skillet. Toast the pecans over medium heat, stirring frequently for 5 minutes until they are fragrant and turn a deep brown color. Be careful not to burn them.
Allow the pecans to cool completely before chopping them into small pieces.
Combine the butter, sugar and maple syrup. Next, add the whole egg, egg yolk, maple extract, and vanilla extract. Mix until combined.
In a separate bowl, whisk together the flour, baking soda and salt. Then, fold the dry ingredients into the wet ingredients. Mix just until combined. Next, fold in the chopped pecans.
Using a 1 ½ oz ice cream scoop, scoop the cookies onto a cookie sheet lined with parchment paper. Refrigerate for 1-2 hours.
Preheat oven to 350°. Place the cookies onto a parchment lined sheet pan, 2" apart (6 cookies per sheet). Then, bake the cookies for 11-12 minutes.
Remove the cookies from the oven, and if desired, use a round cookie cutter slightly larger than the cookie to scoot them into a perfectly round shape. Top with additional chopped pecans. Allow to cool on then pan, then transfer to a wire rack.
For the maple glaze, melt the butter in a small saucepan. Then, add maple syrup, maple extract and powdered sugar. Whisk until smooth. Use a spoon to glaze each cookie.