Maryland Gov. William Donald Schaefer, linking the future of the state's economy to increasing the number of students skilled in high technology, has disclosed plans for a residential "super high school" for mathematics and science, triggering an early bid by Prince George's County officials to get into the act.

The so-called Maryland School for Science and Technology would be among only a few of its kind nationally, offering free room, board and advanced study to the state's top students.

In letters mailed this month, Schaefer invited 200 educators to compete to have the institution located in their area. State officials hope to convert an existing school facility into a campus for up to 600 students, at an initial cost of about $1.7 million.

The Maryland General Assembly last spring delayed initial efforts to establish such a school, opting instead to set aside $100,000 to develop the plan.

The news has set off a flurry of lobbying, state officials said yesterday, especially among Prince George's and Baltimore county officials. Such schools have been used in other states to attract business and boost the local economy.

"We'd of course be anxious to have it here," Tim Ayres, spokesman for Prince George's County Executive Parris Glendenning, said yesterday.

Next week, Prince George's officials plan to take state officials on a tour of possible sites, including the campuses of DuVal and Largo senior high schools, according to Board of Education Chairman Thomas Hendershot.

Hendershot noted that the county's proximity to the Goddard Space Flight Center, University of Maryland's College Park campus and the planned Maryland Science and Technology Center make it a good candidate. "If {Schaefer} doesn't locate it in Prince George's County, he's out of his mind," he said.

State School Superintendent David W. Hornbeck said yesterday that officials are pushing to have the first class admitted to the school in September 1988.

Not all local school officials are as enthusiastic. Prince George's, Montgomery and Fairfax counties already have highly rated science and math high schools, though none is residential. Supporters of these local high-tech schools in Maryland question the need for a state school for their students, saying that smaller school systems that lack equipment and advanced courses would reap more benefits.

"I just don't think it would be a tremendous plus for the kids in Montgomery County," School Superintendent Harry Pitt said yesterday, noting that the county opened the Blair Computer Science Magnet School three years ago as part of a desegregation plan.

Pitt said Montgomery County Executive Sidney Kramer's office has been more involved in the project than education officials. Kramer was not available for comment yesterday.

"At first blush, it's very appealing," Prince George's school board member Angelo Castelli said this week. But he cautioned, "We need to know: Will it affect {state funding to local schools} as it exists now?"

Schaefer plans to submit enabling legislation to the General Assembly next year, according to the letter sent to educators. Similar schools in other states operate with annual budgets of about $3.5 million, Hornbeck said.

As proposed, admission to the school would be competitive, based on a number of factors including test scores, teacher recommendations and admission interviews.

Although there would be no tuition, students would be required to work at the school in some capacity, doing outdoor maintenance, office work or dining room service. The school would offer college-level courses in physics, chemistry, biology, mathematics and computer science and have a full range of extracurricular activities, including varsity and intramural sports.

The first such state-supported residential high-tech school, opened in 1980, was established in North Carolina. Since then it has been declared a success, not only educationally but also in attacting more business to the state. Louisiana and Illinois have similar schools.

Schaefer has named Richard A. Linder, president of Westinghouse Electric Corp.'s Defense Group, to head a planning board for the school, which is expected to receive substantial funding from private industry.