Latent Trait Model for Sequentially Arranged Units of Instruction

摘要

The way in which the units of instruction in an individualized instruction program are sequenced and the routing decisions are made are two components which are crucial to the success of the program. While these two components have been the topic of considerable research, as yet no generally accepted procedures have been developed for them. In this report, a theory relating performance on sequentially arranged units of instruction is derived, and a mathematical model for describing that relationship is formulated. Procedures for using the model to evaluate sequential relationships and for making routing decisions are described. A procedure for estimating the parameters of the model are outlined, and data supporting the validity of the model are presented. It is concluded that the model and procedures described appear to be useful ones, and that they appear to merit continued research efforts directed toward their development. (Author)