A staggering 41% of city teachers hired during the 2012-13 school year left the system during their first five years on the job, according to a new report.

City Comptroller Scott Stringer said Monday that turnover among fledgling educators shell-shocked by the city’s public schools is wrecking classroom continuity — and he called for a new “residency” program to stem the exodus through improved training.

“Let’s not mince words here,” he said. “There’s a teacher retention crisis in New York City.”

Stringer said new city teachers are often brimming with enthusiasm but aren’t trained to handle challenges that ultimately overwhelm them.

“Too often the Department of Education sets up new teachers up to fail,” Stringer told reporters at the NYC Mission Society in Harlem.

“We provide just weeks of in class training to aspiring teachers and no mentorship whatsoever. We can’t keep accepting a status quo where we lose half of our teachers in the workforce every five years.”

To better train teachers, Stringer is calling on the Education Department to adopt a “residency” program that would offer aspiring instructors a $30,000 stipend to work in a city school during their final year of graduate school.

Participants would receive direct mentoring from another teacher for that year before being formally hired the following year.

A constant loss of school staffers — hovering around 40% that leave within the first five years dating back to 2008-09, according to the study — has forced the DOE to scramble for fresh instructors each year, according to the report.

As a result, there are chronic staffing shortages in key subject areas and roughly a third of all city teachers now have less than five years of experience.

Stringer said poorer neighborhoods are often hit hardest by fleeing educators.

In 2017-18, the Bronx had the highest rate of departures for teachers with less than five years experience at 21.5%.

In that borough’s District 12, the escape rate was 26% that year, according to the study.

By contrast, the departure rate for Staten Island teachers in 2017-2018 was just 8%, the study found.

The Stringer plan has the backing of the powerful teachers union, with United Federation of Teachers President Michael Mulgrew saying, “The UFT would love to see a strong collaboration with local universities and a teacher residency program that would help give all incoming teachers a stronger start in their profession.”

Stringer also called for more teachers of color, noting that 60% of city educators are white in a predominately minority school system.

He was joined Monday by state Sen. Brian Benjamin, who echoed the call for more black and Hispanic teachers.

“It’s important for the person who is teaching them to culturally understand who you are, where you come from, your background,” he said “I’m not saying that other cultures can’t do it too, but it has to be part of the equation.”

A DOE spokesman said the department was already implementing some of Stringer’s strategies.

“We’ll continue to strengthen our holistic approach to recruiting and retaining teachers, and we’re proud that our teacher retention rate is higher than the national average,” said spokesman Doug Cohen.