I don't have the technical terms for you, but I guess there are two ways of going about it: the quick way and the longer way. My OB only knew the quick way; before my son was born I heard horror stories about how so many of her circs had had to be repaired. So, I posted a question here- someone recommended another OB who is also a Jewish Mohel. (I hope I spelled that right:) When we took our son to him on the eighth day after birth (we had intended to to avoid the Vit. K shot) He told us that he knew both ways of doing the procedure, but the shape of our son's penie was wrong for the quick way. He performed it the longer way and we have never had any issues. Dr. Neil Smith is the OBGYN for Hackettstown Midwives in Hackettstown NJ. They have a website and a phone number. I know you are in KS, but you can call the office (they are so nice) and get the info and the real terminology straight from the Doc or his nurse.
BTW I am expecting boy #2 in Jan and I have no reservations about doing it again.
Hope this helps!
Oh! Also try posting the question: Great doc for Circumcision near Shawnee, KS. Or wherever. That's how I found my doc. Take a look at my old question from 2 years ago. You don't need to be Jewish to take your son somewhere else for circumcision. Ins. will still usually cover it.