PEACHAM, Vt. — Early on a chilly fall morning in this small Vermont town, Principal Lydia Cochrane watched a gaggle of kids chase one another and a soccer ball around their school recess yard. Between drop-off and first bell, they were free, loud and constantly moving. With only about 60 students in prekindergarten through sixth grade, Peacham Elementary is the sort of school where all the kids know one another and locals regularly respond to calls for supplies and volunteers for field trips and other school activities. Cochrane gestured at the freshly raked wood chips around the swings and climbing structures, one of many tasks Peacham families completed at a recent community workday.