@effingterrified, I felt exactly as you did about the schools until yesterday.
I now have come to believe that government simply cannot prevent this from eventually spreading throughout whatever portion of the population it's going to spread through. They can only affect the timing, and they only have a few blunt instruments. They can hopefully reduce the number of deaths by trying to help us not to all get it at the same time, but they just cannot cause a situation where most people don't get it at all, no matter what policy they use -- using all the tools at once would instead mean that when they finally have to let people go back to work / school / etc., it would mushroom again with no effective containment tools left.
Also, regarding schools, data from WHO's fact finding mission in Wuhan, China suggested that surprisingly, very few infections spread from children to adults in their own households. Plus, one of the concerns with closing schools is that children would instead stay with their grandparents, who are more vulnerable.
The real problem with spread is actually more about the parents and other adults spreading it to one other when they socialise, or commute, or go to work, even if they have "a little sniffle".
The number of people who go into work even when ill has always been appallingly high. Even though it won't stop the asymptomatic spreading, It actually will make a significant difference in the total spreading if people with a cough or fever would just stay home. There are also many, many other things that each individual can do.
www.flattenthecurve.com/