Project ABRAZO is a bilingual research program designed to investigate strategies which might enhance the self-concept of Mexican-American children. A portion of the baseline data collected for ABRAZO is considered with three purposes in view: (1) Is there any difference between the self-concept of Mexican-American children, non-Mexican-American and Anglos at grades 3 and 6? (2) What is the degree of agreement between the child's view of himself, how he thinks his teacher sees him, and a teacher rating of his self-concept? (3) Which background characteristics are good predictors of self-concept and achievement in mathematics and reading? (AG)