The latest wave of foreign workers sweeping into American jobs brought Donato Soberano from the Philippines to Arizona two years ago. He had to pay thousands of dollars to a job broker and lived for a time in an apartment with five other Filipino workers. The lure is the pay — 10 times more than what he made doing the same work back home.

But Mr. Soberano is not a hospitality worker or a home health aide. He is in another line of work that increasingly pays too little to attract enough Americans: Mr. Soberano is a public school teacher.

As walkouts by teachers protesting low pay and education funding shortfalls spread across the country, the small but growing movement to recruit teachers from overseas is another sign of the difficulty some districts are having providing the basics to public school students.

Among the latest states hit by the protests is Arizona, where teacher pay is more than $10,000 below the national average of $59,000 per year. The Pendergast Elementary School District, where Mr. Soberano works, has recruited more than 50 teachers from the Philippines since 2015. They hold J-1 visas, which allow them to work temporarily in the United States, like au pairs or camp counselors, but offer no path to citizenship. More than 2,800 foreign teachers arrived on American soil last year through the J-1, according to the State Department, up from about 1,200 in 2010.

“In these times, you have to be innovative and creative in recruiting,” said Patricia Davis-Tussey, Pendergast’s head of human resources. “We embrace diversity and really gain a lot from the cultural exchange experience. Our students do as well.”

The district, which covers parts of Glendale, Avondale and north Phoenix, is a hotbed of activism in the teacher walkout movement, known as #RedforEd. Picketing educators say they have had to move in with their parents, apply for food stamps and pay out of pocket for classroom essentials like graph paper and science supplies. They argue that taxes are too low to adequately fund schools, or for teachers to secure a middle-class lifestyle.

In response to the teacher walkout, Republican lawmakers introduced a budget that provides new funding for salaries and classrooms. But leaders of the #RedForEd movement said the bill fell far short of their demands, and would restore only about a quarter of the $1.1 billion in annual cuts that they say schools have weathered since the last recession.

In Pendergast, where salaries of around $40,000 are a source of pain and protest for the district’s American educators, Mr. Soberano is thankful for the pay.

Much like other foreign workers, he went into debt to find a job in the United States. He said he used savings and a bank loan to pay $12,500, about three years’ worth of his salary in the Philippines, to Petro-Fil Manpower Services. That is a Filipino company of Ligaya Avenida, a California-based consultant who recruits and screens teachers for the J-1.

The payment covered Mr. Soberano’s airfare and rent for his first few months in Arizona, as well as a $2,500 fee for Ms. Avenida and a fee of several thousand dollars to Alliance Abroad Group, a Texas-based company that is an official State Department sponsor for J-1 visa holders. The J-1 lasts three years, with the option for two one-year extensions. For each year he works in the United States, Mr. Soberano will owe Alliance Abroad an additional $1,000 visa renewal fee.

“You have to make some sacrifices to leave your family way back home,” Mr. Soberano said. Every night, he prepares lessons for his seventh- and eighth-grade science students, and every morning, he wakes up at 4 a.m. to video chat with his wife and two teenage daughters, who are ending their day in Manila. Despite their separation, he said the experience has been rewarding, “teaching in a different culture, but also, financially.”

The school districts that recruit teachers like Mr. Soberano say that they have few other options, because they can’t find enough American educators willing to work for the pay that’s offered. They say that the foreign teachers are being given valuable opportunities, and that American students are enriched by learning from them. But critics argue the teachers are being taken advantage of in a practice that helps keep wages low and perpetuates yearslong austerity policies.

Though J-1 teachers account for only a tiny share of Arizona’s 60,000 public schoolteachers, international recruitment has spread quickly in recent years, as sponsor companies market themselves to districts facing shortages and word spreads among administrators. According to the State Department, 183 Arizona teachers were granted new J-1 visas last year, up from 17 in 2010.