Preheat oven to 350 degrees. In a small bowl, toss nuts in 1 1/2 tablespoons sugar and set aside.
In a bowl, with an electric mixer, beat together butter, 1/3 cup sugar and almond extract until smooth. Stir in flour. Gather dough into a ball and divide into 3 parts.
On a lightly floured surface roll out each part to about 1/4-inch thick and about 2 or 3 inches wide. Even out edges with a spatula. Brush with egg white and sprinkle with nut mixture.
Cut into fingers about = to 3/4-inch wide. Using a metal spatula, place fingers on an ungreased cookie sheet. In preheated oven, bake for 15 minutes or until golden brown. Allow cookies to cool briefly on cookie sheets, then transfer to racks to cool completely. Makes 4 to 5 dozen cookies. Enjoy!