Place 1 tablespoon butter into stockpot. Place pot over medium heat and melt butter.
Add sugar, cinnamon and vanilla. Stir until sugar is dissolved, about 5 minutes.
Place prepared apples into pot. Cook 5 minutes, stirring every couple of minutes. In In a small bowl or cup, combine cornstarch and water. Mix well. Slowly add mixture to apples. Cook 8 more minutes, stirring well.
Remove from heat and place into a container. Place in an ice bath to cool.
Preheat oven to 325°F.
Put 4 1/2-inch mini springform pan on parchment lined sheet pan. Spray well with cooking spray.
Place pastry dough into pan and form into crust.
Place 1 heaping cup prepared apple crumb filling into pan.
Place in preheated oven. Bake 25 minutes.
Remove from oven. Top with 1 tablespoon apple crumb topping, spreading it evenly over surface.
Place back in oven and bake 15 more minutes. Crumb topping should be golden brown, and the filling should be bubbling.
Remove from oven. Let cool 1 hour.