Preheat the oven to 350°F / 175°C. Grease an 8x8" pan with butter and line it with parchment paper.
In a medium sized saucepan, add the butter. Place over medium heat and stir occasionally. Once the butter has melted, continue stirring occasionally until the butter begins to foam, turn amber in color, and you can see little dark specs in the butter.
Remove the butter from the heat and let it sit at room temperature for 10 minutes.
Add the brown sugar, maple syrup and eggs to a medium sized mixing bowl. Vigorously whisk the mixture for 1-2 minutes, or until the mixture becomes very light and doubles in volume.
Mix in the slightly cooled brown butter and the maple extract.
Add in the flour, baking powder, baking soda and salt. Fold the mixture together just until a few flour streaks remain.
Add the chocolate chips and walnuts into the batter, then fold just until no flour streaks remain.
Pour the mixture into your prepared pan. Top with extra chocolate chips and walnuts if desired. Bake for 30-35 minutes, or until the blondies have set and don't jiggle much when the pan is shaken.