Masters in education as well. And I was merely stating that your comment doesn't fly in modern theory. I didn't realize I was responding to such an old thread, by the way, apologies for bumping such an old post. I did not realize that the newest posts in the thread were all still so old. But to get to my point the fact that you "prefer to teach the game from the intelligence perspective from which it is played" doesn't really jive... A better way of stating it, to follow modern theory, would be that you prefer to teach the game from the intelligence perspective that you are strongest with.
Although the visual/spatial component of the game is the most obvious - this does not necessarily put a mathematical mindset in the back seat. If a student thinks strongest mathematically, a master teacher gives them a transition point that allows them to smoothly relate to the visual concepts. Hence the importance to some of your readers (critics?) of a mathematical explanation of your concepts. As with absolutely everything in our world there is a mathematical backbone for everything (constructivists in the mathematical world would dare say that the only real truth is the math)... this puts the onus on you as the educator to develop a way to give those mathematically inclined students a smooth transition point into your visual/spatial theories.
I do not intend to be combative, by the contrary I am just looking to see some things clarified and instead of offering to answer some of the posts you insulted their learning styles. I have no "dog" in this "fight" so I'm in no way against your system, I intend to study it some going forward.