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From 1976 to 1993, Moses taught at the collegiate level and conducted research at California State Polytechnic University, Pomona College, and California State University Dominguez Hills. At California State Polytechnic University, Pomona, Moses combined the Women's studies and Ethnic studies programs into a single interdisciplinary Department of Ethnic and Women's Studies. From 1982 to 1989, Moses served as the dean of the Cal State Polytec's College of Letters, Arts, and Social Sciences (CLASS). In 1988, Moses was appointed to the position of vice president of academic affairs at California State University, Dominguez Hills.