The Education Leadership Summit at Duke University, moderated by former Gov. Jim Hunt, was the first public activity of the James B. Hunt Jr. Institute for Educational Leadership and Policy, an educational think tank established by the UNC system.
A large part of the discussion focused on the No Child Left Behind Act, which is the centerpiece of President Bush's educational reforms.
The act, which Bush signed into law in January, requires that third- through eighth-grade students take year-end tests in math and reading.
Hunt said the act's goal is to "make every public school work and have every child learn."
"Within 12 years, all students, including poor and minorities, will meet state standards in reading and math," he said.
The five secretaries of education said they support Bush's desire to reform education and the idea of national testing to develop a way to evaluate student performance.
But the secretaries differed sharply on how much the government should judge students and schools based on test scores.
Secretary of Education Rod Paige, who was appointed by Bush in 2001, said mandatory testing allows administrators to find out which techniques successfully teach students and which programs are failures, making it a vital part of education reform.
Paige also said a school's test scores must be tied to federal funding, forcing schools to improve and to better educate their students to receive funding.