In a large bowl, cream together the softened butter and peppermint extract until smooth.
Gradually beat in the powdered sugar and salt until well combined and the mixture is crumbly.
Roll the mixture into small balls, about 1 inch in diameter. Place them on a wax paper-lined baking sheet.
Chill the balls in the refrigerator for at least 30 minutes, or until firm.
In a small microwave-safe bowl, combine the chocolate chips and shortening. Microwave in 30-second intervals, stirring in between, until smooth and melted.
Dip each chilled ball into the melted chocolate, coating completely. Return to the wax paper-lined baking sheet.
Immediately sprinkle the crushed peppermint candies over the chocolate-coated balls.
Let the meltaways set at room temperature, or for faster setting, place them back in the refrigerator for about 15-20 minutes.
Notes
Store these peppermint meltaways in an airtight container at room temperature for up to a week.