Formative evaluation applied to a learning hierarchy

A formative evaluation method applicable to learning hierarchies is described which simplifies data collection by employing results from a posttest. Relations among pairs of lower and higher elements of a portion of a previously formulated hierarchy for graphic skills in kinematics were tested by means of data obtained from a posttest given to 148 secondary-school students. Results were compared with those previously obtained for the same hierarchy by a rigorous validation method. Correspondence of the two sets of results was high. Examination of test responses for discrepant instances yielded further information of value. Results additionally indicate hierarchical relationships to be the same in retention as they were for learning.