[ivansavz]

I totally hear you about 3. I was super shocked when I (North America educated) went to visit a university bookstore in Bulgaria. For around $5 I was able to buy a "Mathematical methods of physics" book that covered in 300 pages the material that I had learned from three or four books. Sure the book did almost no "hand holding" and just blaster through the material, but still—it was all there.

I've been recently looking at middle school and high school math textbooks and they're even worse than the books for first-year undergraduates. Yes, treat the reader as if they're an idiot and spell everything out and make them practice the steps. It's like the books are written by helicopter authors who insist on showing you their way. No wonder kids are not into math.