Chaos theory is being used as a tool to study a wide variety of phenomena. It is a philosophical and empirical approach that attempts to explain relationships previously thought to be totally random. Although some relationships are truly random, many data appear to be random but reveal repeatable patterns of behavior under further investigation.…

The applicability of a mathematical theorem designed to trace causality of a three-variable path that consists of an initial cause variable, an intermediate variable, and a final-effect variable with control over other system variables is evaluated. The formula was used with a horizontal rather than a normal distribution, as had been done in an…

Simulation is defined and its use, as related to three types of models, iconic, analogue, and symbolic, that may be utilized in educational research is discussed. A five-step procedure is outlined that can be followed in the process of symbolic model construction. Simulation methods, based on these three models, are examined, and illustrations of…

There are basically four dimensions to a systems analysis that we find in current educational research: (1) Collecting information, (2) analyzing input-output relationships, (3) deriving models built upon these relationships to evaluate alternatives and to derive feasible solutions, and (4) attempting to derive the best solution consistent with…

Education and training systems are complex organizations of facilities, instructors, equipment, routines, and students. Because of this complexity, mathematical models can be used effectively to explain the behavior of educational systems and to assist in making decisions relative to better design and operation, and improved cost-effectiveness,…

Two types of questions may be asked in educational inquiry: educological ones--those seeking descriptions of educational events, and programmatic ones--those seeking prescriptions for educational interventions. Quantitative educology is described as consisting of three branches: the philosophy, science, and praxiology of education. The SIGGS…

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…