The idea behind extinction (or full extinction to differentiate it from graduated extinction) is that you want to extinguish the behaviour (crying) by not responding to it. As with the check-and-console method, go through your bedtime routine, put them in their crib awake, say good night and walk out. This is certainly the most controversial sleep-training method, and even experts disagree on what you should do next—it all depends on what stage your baby is at developmentally, as well as what works for the parents.
Once you launch your plan, stick to it. Parents who've been through sleep training agree that consistency is the key. Unless you realize that your child simply isn't physically or emotionally ready and you decide to put the program on hold for a while, follow through with it for a couple of weeks. When your baby wakes you up at 2 a.m., you may be tempted to give in and hold or rock him, but if you do, your hard work will be wasted and you'll have to start over from square one.
While researching the different sleep training methods to decide which one is right for you, also remember that every baby and every family is different. What one mom swears by, another mom swears off. You will see the most success from sleep training if you use your intuition to pick a method that you know you and your baby will be comfortable with.
There’s also no need to institute a regimented cry-it-out plan if what you’re currently doing is working for your family. But good sleep habits never hurt, and being able to fall asleep on one’s own is a necessary life skill. If you sleep-train at a time that’s developmentally appropriate for your baby and with the basic ingredients of healthy sleep in place, you can minimize the amount of crying your baby (and, let’s face it, you) will do.