THE DEVELOPMENT OF KNOWLEDGE CONCERNING WRITTEN ARITHMETIC: A CROSS-CULTURAL STUDY

This study is concerned with the manner in which Western mathematics is assimilated by children raised in traditional African cultures. It was predicted that after an initial period of difficulty in learning school arithmetic, African children (Baoulé and Dioula from the Ivory Coast) acquire basic concepts, develop invented strategies, and make errors similar to those of American children. Further, it was predicted that Dioula children, since they are members of a commercial culture, perform at a somewhat higher level than the Baoulé, members of a farming culture which does not seem to stress computational activity. To investigate these hypotheses, American, Baoulé, and Dioula children at two age levels were given a variety of arithmetic problems involving basic skills (e.g., reading numbers), number knowledge (e.g., place value), and calculational abilities (e.g., written computation). The results showed that, in general, older African and American children (fifth- and sixth-graders) were quite similar in all respects. The only large and significant differences occurred in the case of younger children (second- and third-graders). At this level American children generally performed at a higher level than Africans, as predicted, and Dioula occasionally at a higher level than Baoulé, also as predicted. At the same time, qualitative aspects of African and American children's performance were similar: for example, both groups made the same types and proportions of errors in written calculations. The results generally support the hypotheses and can be explained in terms of both educational and cognitive factors.     

Social perspective-taking and adjustment in emotionally disturbed,learning-disabled,and normal children

Preadolescent emotionally disturbed, learning-disabled, and normal boys were compared on social perspective-taking and behavioral measures to examine possible contributions of social cognitive deficits to children's adjustment problems. Antisocial-prosocial and withdrawn-gregarious behavior dimensions were studied through subscales derived from teacher ratings. Results indicated that across all groups, high perspective-taking was associated with significantly less withdrawal than was low perspective-taking; within groups, this finding was significant only for the emotionally disturbed boys. Contrary to theoretical assumptions, antisocial behavior was not significantly related to perspective-taking across the sample. Among emotionally disturbed boys, relatively higher affective perspectivetaking was significantly correlated with higher antisocial behavior. This positive correlation for the emotionally disturbed group was significantly different from the nonsignificant negative correlation between antisocial behavior and perspective-taking among normals. Findings for learning-disabled boys were intermediate. between results for emotionally disturbed and normal boys on both perspectivetaking and behavioral measures, and the learning-disabled group generally did not differ significantly from either other group. Theoretical and clinical implications of the findings are discussed The authors acknowledge the invaluable assistance and cooperation of many teachers and principals in Jefferson County School District in Colorado, especially Ms. Norma Sobesky, coordinator of the program for Significantly Impaired Emotionally and Behaviorally Disturbed Children, and Ms. Beth Young, coordinator of the program for Perceptual and Communicative Disorders.