>Again, I challenge you to find one of our statements >that makes the claim that we will fix all the problems >in math education with a single textbook.
A follow-up, if I may. Even if you remain indifferent to the history of math education, there is a natural way many textbooks are developed that may save you a lot of pain and heartache.
Many professors develop their textbooks over time. As they try various techniques, in actual classrooms with actual students, they keep careful notes. Over time, these notes get stitched together into textbooks.
I hope the advantage of this approach is obvious to you. Rather than the group-guessing your are doing now, you will have actually field tested your book.
I recommend this approach to you. And, I predict, if you do it this way, the final form of your textbook may well come as a surprise to one of us. (What I really think is that, through exhaustive field testing, your text will end up looking a lot like the texts that already exist.)