Methods of packaging semiconductor devices and packaged semiconductor devices are disclosed. In some embodiments, a method of packaging a semiconductor device includes coupling through-vias to an insulating material, each of the through-vias having a first width. Dies are also coupled to the insulating material. A portion of the insulating material is removed proximate each of the through-vias. The portion of the insulating material proximate each of the through-vias removed has a second width, the second width being less than the first width.