Preheat oven to 350 degrees.
Cream the butter and and sugar together; then add the pumpkin puree and vanilla.
Mix the flour, cream of tarter, salt, and pumpkin pie spice in a separate bowl. Add to the wet ingredients.
In a small bowl, mix together 1/4 cup sugar, 2 tsp cinnamon, and 2 tsp pumpkin pie spice.
Use a tablespoon measure to scoop out some of the batter and roll into a ball.
Roll each cookie dough ball in the cinnamon sugar mixture, then place on a baking sheet.
Before placing in the oven, use a glass or flat object to press the dough balls into a circular shape.
Bake for about 12 minutes, then let cool on a cooling rack before removing from the pan.