This paper reports work in progress concerning student desegregation among elementary and secondary schools in districts regardless of the source of segregation, and between school districts for the period of 1968-73. The data sources, the statistical reports collected by DHEW, are stated to allow for a detailed statistical analysis of the status and trends in school segregation by race throughout the U.S. First, the state of racial integration among schools within a district in 1968 is examined, followed by an examination of the changes that occurred over the period 1968-1973. The differential changes that occurred over that period of time in different kinds of school settings--in different regions of the country, in school districts of different sizes, and in particular large cities--is seen to be of special interest. Data indicate that, by 1968, desegregation of schools was a far from accomplished task in cities and towns of all sizes in the South, but that in the largest cities, it was equally high in many places where dual school systems had never existed: yet the trend for the next four years tends toward desegregation. It is concluded (1) that the emerging problem with regard to school desegregation is the problem of segregation between central city and suburbs, and (2) that current means by which schools are being desegregated are intensifying, rather than reducing the problem. (Author/AM)