There's quite a lot. Read Coulson's discussion of Project Follow-through.
It's interesting to me Direct Instruction (the trademark version) gets high marks. It's an extremely scripted technique based on students chanting answers in unison, and it has to be implemented from the top down. It's not exactly one size fits all, because students are sorted by ability level, but within that group conformity is the whole point.
I hope I'm picking a fair example in this clip:
Direct Instruction - An Educational Strategy
http://www.youtube.com/watch?v=3cwODCQ9BnU&feature=kp
If knowledge can be drilled into brains this way, super. Just about every student I've worked with knows *a negative times a negative equals a positive* because they've all been shown "Stand and Deliver" at some point in their school careers, and Jaime Escalante used this chanting technique with his students. It
depends on having a group to work with.
FYI, I'm not a dues-paying member of any cartel. I am a quasi-private-sector alternative, an outside vendor who competes for the privilege of providing cost-effective supplemental instruction to selected students. Also I am fairly new to the field, and still (always I hope) learning.
I find your points interesting (though sometimes elusive) and I suspect we agree on some things, but when you depict teachers as an evil cabal of leeches intent on sucking up public money and the lifeblood of our youth, I see a caricature that does not reflect the reality I've experienced.
"It is a profoundly erroneous truism, repeated by all copy-books and by eminent people when they are making speeches, that we should cultivate the habit of thinking of what we are doing. The precise opposite is the case. Civilization advances by extending the number of important operations which we can perform without thinking about them."--Alfred North Whitehead
Since you present this quote free of clues about your rhetorical purpose, I'm inventing my own takeaway: You don't want to have to think about multiplying single digits. Fluency advances by building automatic responses.
As it applies to Direct Instruction (or direct instruction), a teacher might solicit a group response:
Teacher: Seven times six!
Class: responses vary, but "42" is among them.
Teacher: Good. Seven times six is 42. Class, what is seven times six?
Class: FORTY-TWO.
It's like a singalong, you don't know the words but the stakes are low, you can kind of hum along then pick up the lyrics as you go. By the end of the lesson it's drilled into your little noggin. In language arts, the teacher might cycle different short vowels amid various consonants:
"Slip, slap, slop." Good. "Tip, tap, top."
This is my interpretation of direct instruction and I'm fine with it, but it depends on conformity and I thought you were against conformity-based expectations.