At schools here, standardized tests are used as originally intended, to identify a child’s academic weaknesses and assess the effectiveness of the curriculum.

Ms. Kapiko has been a principal both inside and outside the gates and believes that military base schools are more nurturing than public schools. “We don’t have to be so regimented, since we’re not worried about a child’s ability to bubble on a test,” she said.

Military children are not put through test prep drills. “For us,” Ms. Kapiko said, “children are children; they’re not little Marines.”

Under Mr. Obama’s education agenda, state governments can now dictate to principals how to run their schools. In Tennessee — which is ranked 41st in NAEP scores and has made no significant progress in closing the black-white achievement gap on those tests in 20 years — the state now requires four formal observations a year for all teachers, regardless of whether the principal thinks they are excellent or weak. The state has declared that half of a teacher’s rating must be based on student test scores.

Ms. Kapiko, on the other hand, has discretion in how to evaluate her teachers. For the most effective, she does one observation a year. That gives her and her assistant principal time for walk-through visits in every classroom every day.

“We don’t micromanage,” said Marilee Fitzgerald, director of the Department of Defense Education Activity, the agency that supervises the military base schools and their 87,000 students. “Individual schools decide what to focus on.”

The average class in New York City in kindergarten through the third grade has 24 students. At military base schools, the average is 18, which is almost as good as it is in the private schools where leaders of the education reform movement — Mayor Michael R. Bloomberg of New York; the former education chancellor in New York City, Joel I. Klein; and Bill Gates of Microsoft — have sent their children.