This special report discusses some of the difficult problems that have faced and that continue to confront the National Labor Relations Board in determining the proper scope and composition of collegiate bargaining units, including the treatment of department chairpersons, principal investigators, part-time faculty, visiting lecturers, and terminal contract employees. Scope implies the group or groups of employees that properly belong together in one unit, while composition refers to which employees or classifications fall within the groups included. Court cases concerning the scope and composition of bargaining units at several colleges are cited. Among the cases are the following: a request by Cornell University for a unit for all non-professional employees anywhere in New York State; a petition for a unit limited to the clerical and technical employees of the Harvard Medical, Dental, and Public Health Schools; Adelphi University's question of whether 14 part-time lecturers who carried a teaching load equal to that of full-time faculty instructors should be included in a unit otherwise composed of full-time teaching personnel; and Goddard College's question of whether part-time faculty members are entitled to their own separate unit. An important consideration concerning the scope of bargaining in higher education is whether it is a viable method of determining the quality of education. It is hoped that collective bargaining raises the standards of the employees and solves problems in the employee-employer relationships but does not impede the ability of an institution to fulfill its educational functions. (SW)