As ever AnFI, it is never clear exactly what point you are trying to get across - and even less clear as to how it will improve a student's knowledge and make him fly a helicopter better.
Also, as usual, when someone who does know the subject (maths in this case) shows you the true path, you immediately refute it because it doesn't fit your argument (whatever that is).
Enjoy your posturing but, as the oaf in the playground, I do know who is rapidly becoming the big-headed bluffer in the classroom