NEW YORK >> Vaccinated teachers and students don’t need to wear masks inside school buildings, the Centers for Disease Control and Prevention said today in relaxing its COVID-19 guidelines.

The changes come amid a national vaccination campaign in which children as young as 12 are eligible to get shots, as well as a general decline in COVID-19 hospitalizations and deaths.

“We’re at a new point in the pandemic that we’re all really excited about,” and so it’s time to update the guidance, said Erin Sauber-Schatz, who leads the CDC task force that prepares recommendations designed to keep Americans safe from COVID-19.

The nation’s top public health agency is not advising schools to require shots for teachers and vaccine-eligible kids. And it’s not offering guidance on how teachers can know which students are vaccinated or how parents will know which teachers are immunized.

That’s probably going to make for some challenging school environments, said Elizabeth Stuart, a John Hopkins University public health professor who has children in elementary and middle schools.

“It would be a very weird dynamic, socially, to have some kids wearing masks and some not. And tracking that? Teachers shouldn’t need to be keeping track of which kids should have masks on,” she said.

Another potential headache: Schools should continue to space kids — and their desks — 3 feet apart in classrooms, the CDC says. But the agency emphasized that spacing should not be an obstacle to getting kids back in schools. And it said distancing is not required among fully vaccinated students or staff.

All of this may prove hard to implement, and that’s why CDC is advising schools to make decisions that make the most sense, Sauber-Schatz said.

The biggest questions will be at middle schools where some students are eligible for shots and others aren’t. If sorting vaccinated and unvaccinated students proves too burdensome, administrators might choose to just keep a masking policy in place for everyone.

“The guidance is really written to allow flexibility at the local level,” Sauber-Schatz said.

State mandates are further complicating the issue. Several states, including California and Virginia, have policies requiring all students to wear masks at school regardless of vaccination. But governors and lawmakers in some other states, including in Arizona, Iowa and Texas, have barred local school officials from requiring masks.

Widespread mask-wearing is expected to continue this fall in some of the nation’s largest school districts, but not in others. In Detroit’s public schools, everyone will be required to wear a mask unless everyone in the classroom has been vaccinated. Philadelphia was planning to require masks, but the school district was reviewing the policy based on the new CDC guidance. Houston will not require masks at all because of the Texas law.

What about requiring COVID-19 vaccination as a condition of school attendance? That’s commonly done across the country to prevent the spread of measles and other diseases.

The CDC has repeatedly praised such requirements, but the agency today didn’t recommend that measure because it is considered a state and local policy decision, CDC officials said.

Early in the pandemic, health officials worried schools might become coronavirus cauldrons that spark community outbreaks. But studies have shown that schools often see less transmission than the surrounding community when certain prevention measures are followed.

The new guidance is the latest revision to advice the CDC began making to schools last year. In March, the CDC stopped recommending that children and their desks be spaced 6 feet apart, shrinking the distance to 3 feet, and dropped its call for use of plastic shields.

The new schools guidance says:

—No one at schools needs to wear masks at recess or in most other outdoor situations. However, unvaccinated people are advised to wear masks if they are in a crowd for an extended period of time, like in the stands at a football game.

—Ventilation and handwashing continue to be important. Students and staff also should stay home when they are sick.

—Testing remains an important way to prevent outbreaks. But the CDC also says people who are fully vaccinated do not need to participate in such screening.

—Separating students into smaller groups, or cohorts, continues to be a good way to help reduce spread of the virus. But the CDC discouraged putting vaccinated and unvaccinated kids in separate groups, saying schools shouldn’t stigmatize any group or perpetuate academic, racial or other tracking.

Becky Pringle, president of the National Education Association, called the new CDC guidance “an important roadmap for reducing the risk of COVID-19 in schools.”

American Federation of Teachers President Randi Weingarten praised the guidance as being “grounded in both science and common sense.”

“Our ultimate goal remains: to get students, teachers and staff back in school buildings full time, and to make sure they’re safe while doing it,” she said in a statement, adding that dozens of the union’s affiliates are holding vaccine clinics.

U.S. Secretary of Education Miguel Cardona pledged to work with schools to help them get kids back into classrooms.

“We know that in-person learning offers vital opportunities for all students to develop healthy, nurturing relationships with educators and peers, and that students receive essential supports in school for their social and emotional wellbeing, mental health, and academic success,” he said in a statement.