ERIC Number: ED230409
Record Type: RIE
Publication Date: 1983-Jun
Reference Count: 0
An In-Depth Analysis of the Projection of Shadows Task.
Farrell, Margaret A.; Farmer, Walter A.
The projection of shadows task developed by Inhelder and Piaget was used to identify error patterns and solution strategies used by diverse populations in a sequence of proportion tasks. In Study A, two group tests were administered to 607 students from science and mathematics classes in grades 9 and 10. A sub-sample of 69 students was involved in clinical interviews on three Inhelder tasks. Classification of students was higher as level of course and grade increased. In Study B, a group test of direct proportions was administered to 1,200 students enrolled in college-bound mathematics or science classes in grades 10-12. A random sample of 128 successful students was interviewed on the projection of shadows task. Over 76% of these highly selected students were still unable to recognize inverse proportions in a novel task. Sex differences found on the proportions test were not found on the shadows task. In Study C, 30 gifted middle school students were given the various tests and tasks. The percentage at the Piagetian formal operational stage differed on various measures. Subtask data and interpretations are discussed for each study. (MNS)
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: N/A
Identifiers: Inhelder (Baerbel); Mathematics Education Research; Piagetian Tasks; Science Education Research; Shadows Task
Note: Paper presented at the Annual Symposium of the Jean Piaget Society (13th, Philadelphia, PA, June 1983).