The results indicate that heterogeneity of race and heterogeneity of family educational background can increase the achievement of children from weak educational backgrounds with no adverse effect on children from strong educational backgrounds.

Cultural dominance of middle-class norms prevail in middle-class schools with a teacher teaching toward those standards and with students striving to maintain those standards.

It is one thing to take as a given that approximately 70 percent of an entering high school freshman class will not attend college, but to assign a particular child to a curriculum designed for that 70 percent closes off for that child the opportunity to attend college.

The educational resources provided by a child's fellow students are more important for his achievement than are the resources provided by the school board.

Children from a given family background, when put in schools of different social compositions, will achieve at quite different levels.

Schools are successful only insofar as they reduce the dependence of a child's opportunities upon his social origins.

In a high school, the norms act to hold down the achievements of those who are above average, so that the school's demands will be at a level easily maintained by the majority.