Application Of Fuzzy Cluster Analysis To Rule Space And Discussion On Remedial Instruction Strategy

With psychometrics successfully applied to education,people now are not satisfied with only a score.they want to know where is the score from.It is called ''Cognitive Diagnosis".Tasuoka(1983, 1986, 1990)developed the Rule Space Model to investigate the cognitive processes that underlie problem solving.lt conjoins cognitive psychology model with psychometrics model.and is used to identify cognitive misconceptions and to report students'cognitive structure.Experts'participating is importance for defining reference points in previous rule space.which is subjective.tedious and hard to be used in large scale testing.This study is used fuzzy cluster analysis to define reference points.which is easy applied and can be programmed for computer'aid.A purpose of cognitive diagnosis is improving instruction efficiency. In paper[4],rule space was used to connect all knowledge states and to draw a knowledge states distribution map,thus we can use this map to direct our remedial instruction. Local shortest path strategy was used in paper[4] for all case,however,we propose several more strategies for best effect in different situations.