 In 1957 Dr. Fletcher accepted his first teaching position in the department of mathematics at LeMoyne-Owen College, Memphis, Tennessee, where he served as chairman until 1972.For the ten-year period 1962–72 Fletcher pursued summer employment as a mathematical applications computer programmer in industry, business, and government at IBM Mohansic Laboratory (Yorktown Heights, NY), Western Electric (Hopewell, NJ), the Lawrence Livermore Laboratory (Livermore, CA), and the US Departments of Commerce (Washington, DC), Agriculture (St. Paul, Minn), and Energy (Livermore, CA).In 1972 Fletcher returned to NCCU as professor and chairman of the mathematics department where he joined his former teacher and mentor, Marjorie Lee Browne, the second African-American woman to earn a Ph.D. in Mathematics.