In other professions, the people who enter the professions are more rigorously trained and tested before entering the profession. But the crucial difference is that in professions with higher pay, clients have the power to shop, and clients are not compelled to consume the services of professionals employed by the government in the usual case.

I'm open to allowing teaching to be closer to a typical labor market, assuming that we also raise the pay. Although I do think that better pay will give schools better choice in choosing teachers, as competition for the available spots would probably increase.