Lightly grease 2 (17"x14") cookie sheets.

In the large bowl of an electric mixer, beat together butter, sugars, egg and vanilla at medium-high speed until fluffy. Reduce mixer speed to low, add flour, increase mixer speed gradually and beat just until blended. Stir in chocolate chips and nuts. Drop heaping tablespoons 2 1/2" apart on prepared cookie sheets.

Bake 1 sheet at a time for 17 minutes or until edges of cookies are lightly browned and tops look dry. Cool on sheet for 5 minutes and then remove to wire rack to cool completely.

Makes 22 cookies.