The Gracies teach children jiu jitsu using primarily social learning theory with a touch of constructivism thrown in there for good measure. This is also the approach that Coach Herzog takes but he manages to do it without sounding like he's trying to sell you a ShamWOW at the same time. Renner just has a voice and rhythm to his speech that makes him sound like a pitchman. What he has to say, however, is almost always excellent. Now a guy I could listen to for hours at a stretch is Pedro Sauer. Wow is that guy an elder statesman of jiu jitsu or what...
The only thing that bugs me about the lessons they are trying to impart is the frequent use of the idea of "transferring" knowledge, or "imparting" learning to a student. People simply don't learn that way and teachers simply don't teach that way (even when they think they are). All students in any discipline bring with them preconceptions, knowledge, assumptions, and personality traits. Each student must construct any new knowledge on this scaffold of existing experience. An excellent instructor recognizes this and seeks to help the student improve his or her scaffold, not just hanging new ornaments on the existsing one. This may require challenging certain assumptions or knowledge a student has brought with them in order that they might rebuild a sturdier scaffold. This isn't necessarily "breaking a student down to build them up again" though that is certainly an approach that is used (more often than not, this approach just leads to frustration and a high attrition rate). You can tell someone or show someone something a million times and he may learn to repeat it, but if your lesson does not change the way he thinks or behaves in a novel situation, you haven't taught him anything. You have to change the way he thinks and you can only do that by getting him to think hard in the first place.
Oddly enough, despite what they SAY, what they DO is less transmission-model teaching than social learning. Even if they can't articulate educational theory, they clearly understand how it works and they apply it well. More than anything, Renner is right about one thing: no teacher of any sort is any good at all if they do not have a passion for helping others learn and improve.