The contents of this Supplementary Paper are an attempt to refine the meaning of the common concept of equality of opportunity. The following papers are included: "The Meanings of Equality," James L. Jarrett; "Poverty and Childhood," Jerome S. Bruner; "The Crucible of the Urban Classroom," Staten W. Webster; "Increasing Educational Opportunity: Research Problems and Results," James S. Coleman; "Relevance and Self-Image in the Urban School," Larry L. Leslie and Ronald C. Bigelow; and, "The Special Education Problems of the Mexican-Americans," Clark S. Knowlton. (JM)