A study sought to determine if there is a relationship between certain types of school districts and demand for greater number of teachers in certain teaching specialties. These relationships were determined by using muliple regression, contingency table analysis, and cluster analysis methods with data from the 1979-80 Sample Survey of Teacher Demand and Shortages, the 1970 Census School District Fifth Count File, and other instruments. Findings revealed that teachers of cultural subjects and of gifted pupils were in greatest demand in affluent, highly educated communities composed of professional people with small families. These communities also demanded more science and mathematics teachers. Vocational education teachers were in demand in communities where poverty was relatively great, the district small and rural, education low, and government funding high. Tables present information on teacher demand based on teaching specialities variables: (1) culture and enrichment; (2) home economics, industrial arts, and business; (3) mathematics and science; (4) English language arts and social studies; (5) special education for handicapped; (6) health and physical education; (7) the nonspecial education problem learner; and (8) vocational education. Appendixes contain information on: school district cluster descriptions; factor formation (principal axis factor analysis, followed by varimax rotation, which was used to separate the variables into independent factors); and a listing of data sources. (JD)