![Sample our Humanities journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5939/TOC-Subject-Sample-2021-Humanities.jpg"})
Abstract
The formal theory of the Model of Hierarchical Complexity is presented. Complexity theories generally exclude the concept of hierarchical complexity; Developmental Psychology has included it for over 20 years. It also applies to social systems and non-human systems. Formal axioms for the Model are outlined. The model assigns an order of hierarchical complexity to every task, using natural numbers, establishing a quantal notion of stage and stages of performance. This formalizes properties of stage theories in psychology. The formal theory of the model enables extending the concept of hierarchical complexity to any field where tasks and their performances exist.
Notes
1. Portions reprinted with permission. M. L. Commons, E. A. Goodheart, A. Pekker, T. L. Dawson, K. Draney, and K. M. Adams. 2007. Using Rasch scaled stage scores to validate orders of hierarchical complexity of balance beam task sequences, 124–130, and in Rasch measurement: Advanced and specialized applications, Eds. E. V. Smith, Jr. and R. M. Smith, 121–147. Maple Grove, MN: JAM Press. © 2007 by JAM Press.