Many places have had wages taken so high that there is insufficient teacher presence in halls, yards and stairwells that bullying flourishes in these areas, and this bullying chills many black students into mediocrity.
I think you are reading more into the issue than "high wages" for teachers causing a lack of teachers. If teachers charged the city/state like lawyers do for every minute that they worked, you would see that teachers are far from underpaid even at your "wages taken so high" rates that you currently claim. Even with summer "off", and not including time spent at "teacher meetings" or pre/post school year, teachers in primary and secondary schools work on average just 100 hours less than a person with a 40 hour work week does across the entire year. If the pre/post school year time, and days that teachers are required to report when students do not are included, teachers work more hours during the 180 day school year than a normal person does across the entire 260 day work year.
To be quite honest, I think teachers should be paid by the minute, just like lawyers charge. Maybe then we might actually have teacher salary that reflects the work they put in and people like you would see the actual time spent to do the job. Remember, when the students go home, the teachers still need to grade assignments/tests, create tests, update lesson plans, student learning plans, input grades into school grading software, possibly hold office hours for after/before class assistance, hold shifts covering detentions, call parents, hold parent teacher conferences, etc., etc.. All of which adds up to a lot of time over the 6 hour 40 minute "school day" that you think is the end of the time a teacher needs to be on the clock...