Preheat the oven to 350°F (175°C).
In a bowl, whisk together the flour, baking powder, and salt.
In another bowl, cream the softened butter and granulated sugar together until light and fluffy.
Add the egg, vanilla extract, and peppermint extract, and mix until combined.
Gradually add the dry ingredient mixture to the wet ingredients, mixing until just combined.
Fold in the crushed candy canes with a spatula gently.
Scoop tablespoon-sized portions of dough onto a baking sheet lined with parchment paper, spacing them a few inches apart.
Bake in the preheated oven for 8-10 minutes, or until the edges are lightly golden.
Let the cookies cool on the baking sheet for a few minutes before transferring them to a wire rack to cool completely.
If desired, dust with icing sugar or drizzle with a simple glaze for decoration.
