I think "novemtrigintillion" was just a harmless joke about this very large number of possibilities, nothing too serious about it, I also had to Google the word I doubt anyone knew it.
> (1) Supervise the children of working adults, without interfering with their work day.
That is indeed an important objective. I want to underline that it is impossible to achieve it in practice. Each parent has a different life with their own constraint, but each school can only have one time. The complexity of school assignment and start time choice is to find a way to do as well as we can. Unfortunately to the best of my knowledge, there is no perfect solution.
That's not strictly true. The schools each have one time when mandatory attendance starts, and one time when mandatory attendance ends, but they all open their doors earlier, and close down later, when the student presence is still permitted. The bus schedules revolve around that 90% of kids that show up just for class and then leave for home afterward, but if there is a local need, it is usually technically possible to fill it. It just takes money. The problem is that the need and the money only rarely intersect.
Some school cafeterias even serve breakfast--mostly for kids with subsidized meals, who may not be able to eat regularly otherwise. That is state or federal money available to open earlier. Youth diversion program money can keep a school open later. It is entirely possible for a kid to be at school continuously for 12 hour intervals, every weekday, with no additional burden on the local taxes. Meanwhile, in the suburban schools, the clubs and extracurricular activities are powered by fees paid by the parents directly, and some kids get picked up and dropped off by private cars, as part of their parents' commutes, never even seeing the inside of a school bus.
You're right that public schools in Boston and elsewhere benefit from a rich ecosystem of after-school programs that allow students to continue learning outside the classroom (and yes, give parents more time to work). Adjustments to school schedules also impact these after-school programs, especially ones that enroll students from several schools with different schedules.
> (1) Supervise the children of working adults, without interfering with their work day.
That is indeed an important objective. I want to underline that it is impossible to achieve it in practice. Each parent has a different life with their own constraint, but each school can only have one time. The complexity of school assignment and start time choice is to find a way to do as well as we can. Unfortunately to the best of my knowledge, there is no perfect solution.