Teachers oftentimes assign homework or other supplementary study activities whenever students appear to have not acquired an adequate level of understanding of the instructional materials. Teachers also usually makes their decisions as to what activities to assign based primarily only upon their past teaching experience. In light of these facts, it can readily be seen that sometimes inappropriate study activities may be assigned. In this study, the authors have proposed some techniques for using the results of previous exercises and examinations in determining appropriate supplementary study tasks. Based upon their previous research, the authors were able to express student levels of attainment based upon average correct examination responses. Even so, it is still impossible to use a single numerical value in expressing a student's degree of mastery of any particular subject. This is because the student's reactions to a variety of items related to a single topic are usually not very consistent. In order to convert this instability into a fixed quantity is necessary to quantify the student's degree of mastery not only based upon his or her average of correct answers but also based upon a specific section or block of study. If one is to really understand the contents of a block of instruction, he or she must be able to systematically and structurally relate the learning task at hand with previous broad, underlying mastered tasks. If a learner's understanding of a task must be structurally based, it is natural that the structure of the learning materials themselves must be considered when determining supplementary work. To do this, the authors have proposed a three-cornered graph for describing the degree of mastery, the structure of the teaching materials and what supplementary tasks should be assigned.
View full abstract