Dr. Fletcher's first position was in the mathematics department of LeMoyne-Owen College (Memphis) and he was chairman until 1972. From 1972 until 1996, Dr. Fletcher was Professor and Chairman of the Department of Mathematics of North Carolina Central University (Durham). He was a student of, and later colleague of Marjorie Lee Browne, the second African American woman to earn a Ph.D. in Mathematics. From 1996 he has been Chair and Professor of Computer Science of North Carolina Central University. It should be noted that Dr. Fletcher established the Computer Science Department.

In addition to many notes on Mathematics Education, Dr. Fletcher published research papers:

1. On the decomposition of associative algebraic structures of prime characteristic, Journal of Algebra 1970.
2. On Whitehead's Second Lemma for Lie Algebras, International Journal of Mathematics and Mathematical Sciences 29 (1982), 521-523.
3. On the Structure of Associative Algebras Relative to Their Radicals, Rev. Roumaine Math. Pures Appl.. 29, (1984), 301-307.

In the area of History, he published:

1. Marjorie Lee Browne - A Biography", Encyclopedia of African American Culture and History, Columbia University, New York, New York, 1994.
2. Marjorie Lee Browne - An American Mathematician, Twenty-Century Scientists, Gale Research, Inc., Detroit, MI, 1994.