If that doesn't bring the kid around to your way of thinking (about the behavior under review) then leave him/her for awhile to reconsider. That gives you time to make sure your anger is under control. Then when you return to the room, if s/he is still being stubborn, you apply another series of age appropriate rod-blows. (Again, maybe one for a 1 year old, up to 10 for an older teen.)
Keep this up until s/he repents. Never in anger, never more than a few rod-blows at a time. The rod will never leave a physical injury. But deep down, the rod works on the child in a way that God designed into everyone of us.
This method will defeat rebellion. Some stubborn, strong-willed children will need more, longer sessions than others, but in the end (yeah, I know) it will work. It breaks the child's will to rebel, but it doesn't break the child's spirit.
Remember, the boy or girl has offended you, the parent, and s/he knows it. S/he needs, and craves, to be corrected, but s/he also needs to be forgiven for the offense.
To correct with the rod, or to punish, without forgiving afterward, leaves a more rebellious and angry child than you had before.