Combine the butter and sugars on medium speed until well mixed.

Add the egg and vanilla and beat on high for 1-2 minutes, until the mixture is fluffy and has lightened in color.

Next add the peanut butter and beat 30 seconds more.

Add the flour, baking soda and salt and mix just until incorporated.

These cookies are large. Make them about 1.5 times as big as a usual cookie. The dough ball is about 3 tablespoons.

Spread them out on a cookie sheet, only 12 per full size sheet.

Bake at 350 for 12 minutes. At minute 9, take them out and bang the bottom of the pan (quite hard) agains the top of the oven 3 or 4 times. This helps them flatten and "crinkle" and become more chewy.

Return to the oven and bake the additional 3 minutes, for 12 minutes total.

Allow the cookies to cool for 20 minutes.

Get a carton of cookies n' cream ice cream and cut off the carton.

Lay the ice cream on it's side and cut into strips that are 1"-1.25" thick (or whatever your desired thickness is ;)).

Using a cookie or biscuit cutter or a cup, cut circles into the ice cream.

Place the ice cream between 2 cookies.

Freeze for later or serve immediately.