Aim/Purpose: In this paper, we highlight the need to monitor and diagnose adaptive e-learning systems requirements at runtime to develop a better understanding of their behavior during learning activities and improve their design. Our focus is to reveal which learning requirements the adaptive system is satisfying while still evolving and to…

Learning progressions represent a set of skills or pieces of knowledge ordered sequentially from least to most complex. This sequence can guide instruction as well as assessment content. This paper describes several useful methods for validating learning progressions including validating the relationship between the progression and student…

An account is made of the relationship between the convergence behaviour of a sequence and the accumulation points of the underlying set of the sequence. The aim is to provide students with opportunities to contrast two types of mathematical entities through their commonalities and differences in structure. The more set-oriented perspective that…

The method of scoring is used to obtain maximum likelihood estimates of the parameters in White and Clark's (EJ 075 122) learning hierarchy validation model. From the proportion of the population possessing only the superordinate skill in a pair of hierarchical skills, and its variance, the hypothesis of inclusion is tested. (Author/CTM)

The report is a review of research results which concern sequencing (procedures for validating the hypothesized ordering of the subordinate tasks in a learning hierarchy) and practical applications of learning hierarchies in instructional design. Indirect versus direct validation procedures are examined in detail. (Author)

A review of the literature was made of the various procedures for sequencing instructional units in individualized instruction programs. Procedures for validating sequences of instructional units, or learning hierarchies, were found to fall into two general categories. One category included procedures based on coefficients of dependence, while the…

The sequences of learning sets (intersequence) and instructional events (intrasequence) were empirically validated for a hierarchy of concept and rule using skills. Experiments with high school students showed no differences between empirical and reordered inter- or intrasequence on time to mastery; nor was there a difference in the number of…

An instructional program based on a learning hierarchy and involving the addition of fractions was presented to fourth grade students in a pretest - posttest design. The results of the tests were analyzed using both Walbesser's and White's techniques for validation. There was sufficient disagreement in the results to prevent a conclusion of…

"Curiosity Corner" is a comprehensive early childhood curriculum designed to help children at risk of school failure because of poverty. The program offers children experiences that develop the attitudes, skills, and knowledge necessary for later school success with a special emphasis on children's language and literacy skills.…

The need for an empirically defensible means of sequencing instruction appears to have been the primary motivator for research into learning hierarchies. Four methods for generating candidates for learning hierarchies were reviewed: introspection, formal analysis, observation, and statistical "fishing." Experimental transfer of training…

This paper reviews methods which have been used to identify and validate learning hierarchies. Specifically, three methods which reflect the notion of a relatively inviolate sequence are discussed and compared. Two of the psychometric methods compare pairs of skills, the ordering-theoretic method (Bart and Krus) and the test of inclusion (White…