There is considerable variation in the dynamical literature in how the term "complexity" is used. While there have been several attempts to describe from an educational perspective what complexity encompasses, the term is frequently used without an explicit definition. To forge a shared understanding of what complexity means, the purpose…

This paper discusses investigations in science education addressing the nonlinear dynamical hypothesis. Learning science is a suitable field for applying interdisciplinary research and predominately for testing psychological theories. It was demonstrated that in this area the paradigm of complexity and nonlinear dynamics have offered theoretical…

The detection of complexity in behavioral outcomes often requires an estimation of their variability over a prolonged time spectrum to assess processes of stability and transformation. Conventional scholarship typically relies on time-independent measures, "snapshots", to analyze those outcomes, assuming that group means and their…

At one time or another, all researchers in mathematics education must face the rather complex question of their epistemological foundations. Discussing epistemological foundations naturally leads to a conversation about theories. Theories and epistemological foundations work in a circular fashion: theories can have epistemological foundations and…