> 3. My mother has a master degree in math, she is a high school teacher. Her understanding of maths due to her degree sets her apart from the normal teachers with a educational math degree, or any other degree which was not math orientated. You can see in her yearly results she is a good math teacher. I understand this does not hold true for all people. But something that you missed in the infographic is that teachers is held in high regard, something that is lacking in my country of origin and I believe a lot of other countries.
I am not clear how taking graduate courses in Mathematics which can range anything from Measure Theory, Abstract algebra to Grad. Real Analysis helps you become a better teacher to high schoolers whose interaction with mathematics should ideally have enough coverage from the basic level.
The respect thing is not clear to me. Lawyers and Investment bankers are not respected here in the U.S., yet they flourish. Ultimately, if you are passionate about what you do, what people think of you (or not) shouldn't matter so much.
My personal hypothesis is that people in America (parents) give way too much responsibility to the school to educate their children and expect magic to happen from people who are merely paid to take care of your children. Quit having kids or take more responsibility in teaching them. My mother is a teacher too and I recall she spent more time teaching me stuff at home before I even went to kindergarten and that definitely helped keep me ahead of the curve. Sure, her ability to teach helped her a bit but surely it is not that hard as a parent to take more of an active interest in your child's education rather than flopping helplessly and whining about schools and such. /end rant