Students are learning well again. But full recovery? That’s a long way off.

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After the pandemic sent a jolt through the American education system, interrupting the learning of millions of children, a new report offers a glimmer of hope: By the end of the last school year, many students had returned to a normal pace of academic growth for the first time since the pandemic began.

Still, the pace was not nearly fast enough to have made up for steep pandemic losses.

At this rate, elementary school students may need at least three years to catch up to where they would have been had the pandemic not happened, and middle school students may need five years or more, according to the report released Tuesday by NWEA, a nonprofit organization that provides academic assessments to schools. Researchers examined the results of math and reading assessments for more than 8 million students in approximately 25,000 schools. The report did not look at high schools.

“I don’t want to lose sight that this is something to celebrate,” said Karyn Lewis, a senior researcher at NWEA.

“However — and it’s a big however — we still have unfinished learning,” she said. “It is going to take above average growth to get us out of this hole.”

The federal government made its largest ever one-time investment in American schools — about $190 billion — to support pandemic recovery. But the latest estimates suggest that many students may still need help long after the money runs out. School districts must allocate the last of their funds by September 2024.

Recovery is expected to take the longest for groups that were most affected by the pandemic, including low-income students and Black, Hispanic and Native American students. Research has found that extended remote learning was a primary driver of lost learning, widening racial and economic gaps during the pandemic. High-poverty schools tended to spend more time learning remotely, as did Black and Hispanic students.

“There would be profound consequences if we allow these achievement losses to become permanent,” said Thomas Kane, a Harvard economist who has been raising the alarm about the magnitude of intervention needed.

By his calculus, students at high-poverty schools that stayed remote for more than half of the 2020-21 school year lost the equivalent of 22 weeks of instruction.

Yet many common interventions do not have enough firepower to make up a gap of that size.

For example, summer school typically brings about five weeks of gain, he estimated. Another popular option, doubling math instruction over an entire school year, may yield a bit more: up to 10 weeks of instructional time.

Even frequent, small group tutoring — considered one of the best, if most expensive, options — cannot single-handedly make up for the worst of the pandemic’s impact. Kane estimated that when done well over the course of a school year, tutoring may yield the equivalent of about 19 weeks gained.

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