[1] He served on the faculties of the U.S. Air Force Academy, Fayetteville State University, and North Carolina A & T State University, and was a founding member of Upsilon Pi Epsilon.
[2] After four years of serving on their faculty, he returned to North Carolina A & T State University where he was subsequently named Ronald E. McNair Endowed Professor and Chair of Computer Science in 1991.
[1][2] He was a founding member of Upsilon Pi Epsilon, the first international honor society dedicated to the disciplines of computing & information.
[5] They had two sons, one of whom, Joseph Jr., became a NASA consultant, and the other, Robert, became an officer in the Air Force.
[4] Monroe has been the recipient of several awards from the United States Air Force Academy including the 1974, 1978, and 1982 United States Air Force Legion of Merit Service Medal for Outstanding Teaching and Research, and the 1987 United States Department of Defense Superior Service Medal for Superior Teaching and Research.