Seven forms of a programmed booklet based on an eleven-level hierarchy for addition of fractions were developed. One hundred forty-two fourth graders were randomly assigned to treatments; achievement, transfer, retention, and time were compared. No treatment was consistently superior, but developing sequences from hierarchies validated by test…

Describes a study that attempted to establish whether or not a hierarchy exists among selected reading skills, to establish the direction and strength of such a relationship, and to compare empirical methodologies for establishing hierarchical relationships. (MKM)

This document discusses how the organization of instruction influences the encoding and structuring of new material in the memory and the subsequent transfer of such information to novel situations. A theory of instruction for problem solving that considers relevant cognitive variables and that specifies the conditions for productive learning is…

Some of the procedures for developing and validating learning sequences or learning hierarchies are explored. For each of these procedures, references are provided that can be used for additional study or clarification of the procedures. (Author)

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…