After successfully piloting a summer camp for the last several weeks, a new educational center in East Hampton Village will kick off the coming school year with daily programs for toddlers and after-school activities for elementary children.

The Hampton Library in Bridgehampton will celebrate the end of summer and the conclusion of the summer reading club with a party on Saturday from 1 to 3 p.m.

Janice Blair Whalen would have loved the idea of sending two children from the Linstead School, in an economically disadvantaged area in Jamaica, to the Ross School’s summer camp, her husband, Richard Whalen, said.

Come September, students, parents, and community members of the Bridgehampton School District will enter through a renovated vestibule featuring a secured entrance system. The receptionist, instead of sitting at a desk in the front hallway, will sit in a new office behind a thick glass window and “buzz in” visitors.

But members of the Bridgehampton School Board have taken issue with the type of window that was installed, saying Tuesday the school architect never gave them any options beforehand.

“Every year, we always assess whether or not we have the ability to do two teams, a J.V. and a varsity, to give our kids the maximum experience,” Mr. White said. “Sometimes as a freshman and sophomore you do a lot of sitting and watching. This particular year, considering we graduated multiple players . . . we noticed there was a burst of underclassmen in comparison to the upperclassmen.”

“Substantial equivalency” is not a new term for independent schools in New York State, but a new set of regulations mandating just that, proposed by the New York State Education Department, has garnered mixed responses from officials at local private schools.

As the Springs School progresses in its installation of a new septic system, crews doing the digging discovered impermeable soils that have to be excavated and replaced by different fill for the septic system to function properly.

Butterflies, painting, homemade ice cream, a portable planetarium, and a reptile and amphibian show are coming to the East Hampton Library in what is the final full week of summer vacation for most kids.

The Sag Harbor School District was poised this week to send a letter to a New York State judge in support of delaying the start of the statewide elimination of the religious exemption for vaccines for schoolchildren but reversed its position on Tuesday.

Ahead of next month’s start of classes, several local school districts have received updated certificates of occupancy following inspections conducted by fire marshals in East Hampton Town, East Hampton Village, and Southampton Town.