THE PROBLEM OF THIS RESEARCH WAS TO STUDY THE EXTENT TO WHICH STUDENTS ARE ABLE TO GENERALIZE WHAT THEY LEARN IN ONE LESSON SO THAT THEY ACTUALLY GAIN COMMAND OF ABILITIES NOT SPECIFICALLY TAUGHT UNTIL SOME LATER LESSON. THE AUTHOR EXAMINED CONDITIONS UNDER WHICH A MASTERY SCORE ON A PRETEST IN ARITHMETIC COULD BE CONSIDERED A TRANSFER INSTANCE. DATA ON TRANSFER INSTANCES WERE COMPILED AND EXAMINED, AND THE USES OF THIS INFORMATION WERE DISCUSSED. IT WAS SUGGESTED THAT SUCH INFORMATION COULD BE USED IN THE FIELD OF INSTRUCTIONAL DESIGN, SPECIFICALLY, IN REVISING TEACHING OBJECTIVES AND MATERIALS TO PROMOTE GENERALIZATION AND TRANSFER ABILITIES. RELATED REPORTS ARE ED 010 205 THROUGH ED 010 211 AND ED 010 519 THROUGH ED 010 523. (GD)