Dana Sheets wrote:
In reading the posts what comes to mind is a math analogy. A math teacher will show you how to do logarithmic equations. They'll show you a general approach and a couple of "watch out for these" variations. However, they do not continue to walk you through examples of every single unique equation of that type that exists.
No, but we do walk you through several representative examples, and we establish a clear set of rules for going about solving a problem. One would not, then, show multiple applications of every
move, but at least a selection of moves would be thoroughly explored, leaving nothing to the imagination on these examples.
A math analogy on a different level would be what is expected of an undergraduate, masters, and PhD math major. At the undergraduate level we expect students to be able to prove theorems and work problems, but we do not expect them to create original mathematics. At the masters level there would be a bit of this, although not a lot. The masters level is still a practitioner level. It's the PhD level where students are expected to display the capacity for original research, i.e. to expand what is known, not just to retrace the steps of others and to solve practical problems.
Certainly not every student of karate is expected to aspire to the "PhD" level or even the "masters" level, and either way, one does not treat undergraduates the same as PhD students, just as you do not treat a 12 year-old child the same as a 21 year-old. For example, it is my understanding that up through the nidan level in the IUKF, students are required to perform the standard bunkai in dan testing, but at sandan and above, there is latitude. I guess what I'm saying is that brown belt seems a little early to me to be suggesting that students be expected to come up with their own bunkai. As former university math professor, I can tell you that my undergraduate students would have complained loudly if I just quoted theorems, gave them a facile example or two, and then told them they were on their own. No, we would certainly work through a lot of problems completely. Even homework assignments would eventually be completely explained.