Amy Carter, Stevens Elementary School's most famous fifth grader, will transfer next fall to another Washington public school, Hardy Middle School on Foxhall Road NW, the White House said yesterday.

The shift away from the Carters' neighborhood school required approval from school system administraters, which was granted Superintendent Vincent Reed said yesterday that hundreds of such transfers are made every year.

Mary Hoyt, press secretary of Mrs. Carter, said the Carters "have been very pleased with Stevens," which has classes from kindergarten through sixth grade. But, she said, "they feel this is the logical time to put Amy in a middle school which has grades five through eight so she will be settled for the next few years."

Hoyt added that a good friend of Amy, Emily Powell, the daughter of Carter press secretary Jody Powell, also would be entering Hardy next year. Emily, 11, now is a 6th grader at Mann Elementary, 44th and Newark streets NW, whose students routinely move on to Hardy after the sixth grade.

Amy, now 10, entered Stevens, at 21st and K streets NW, in January 1977, four days after her father became president and the family moved into 1600 Pennsylvania Ave., eight blocks away.

She is the first child of a U.S. president since Theodore Roosevelt to attend public school in the District.

Stevens, a brightly refurbished 110-year-old structure surrounded by office buildings, was the first public school for blacks in Washington. Of its 251 students this year, 73 percent are black, 17 percent white and the remainder are Hispanic and Asian.

Hardy, with a large schoolyard at Foxhall Road and Q street NW, opened in 1933 and for a long time was the neighborhood elementary school for one of the poshest parts of Washington.

After sharp drops in enrollment, it was transformed four years ago into a grade 5-to-8 school, the only one of its kind in Washington, drawing students from five small elementary schools west of Rock Creek Park. About a third of its students, officials said, come from other parts of the city.

This year 51 percent of its 210 students are white, 26 percent black, 18 percent Hispanic and 5 percent Asian.

Students at Hardy traditionally have had higher average levels of academic achievement than those at Stevens, although no recent test scores are available. For the past year, Amy has attended after-school clases for gifted children two afternons a week at George Washington University.

Today will be Amy's last day of school at Stevens, Hoyt said.