One of the first school districts in the country to reopen its doors during the coronavirus pandemic did not even make it a day before being forced to grapple with the issue facing every system actively trying to get students into classrooms: What happens when someone comes to school infected?

Just hours into the first day of classes on Thursday, a call from the county health department notified Greenfield Central Junior High School in Indiana that a student who had walked the halls and sat in various classrooms had tested positive for the coronavirus.

In the heated debate over reopening schools, one burning question has been whether and how efficiently children can spread the virus to others.

A large new study from South Korea offers an answer: Children younger than 10 transmit to others much less often than adults do, but the risk is not zero. And those between the ages of 10 and 19 can spread the virus at least as well as adults do.

The findings suggest that as schools reopen, communities will see clusters of infection take root that include children of all ages, several experts cautioned.

“I fear that there has been this sense that kids just won’t get infected or don’t get infected in the same way as adults and that, therefore, they’re almost like a bubbled population,” said Michael Osterholm, an infectious diseases expert at the University of Minnesota....