Structural approaches to development, such as Piaget's stage theory, h
ave proved to be problematic in dealing with developmental transitions
. More promising in this respect are models of qualitative change that
address macroscopical phase shifts in non-linear dynamical systems th
at arise from quantitative changes at the microscopical level. In this
introductory paper, we attempt to clarify the meanings of some of the
core terms used in these models so as to set the scene for the subseq
uent contributions. We stress the relevance of recent advances in cata
strophe theory for detecting developmental transitions and suggest tha
t the concept of self-organization as formulated in irreversible therm
odynamics provides a framework for explaining them. As yet, there is a
lack of convincing evidence that transitions of interest to developme
ntal psychologists comply with principles of self-organization that ha
ve become well established for time-evolving systems in other discipli
nes such as chemistry and biology. Demonstrations of self-organization
in psychologically relevant simulation models are a first step in att
aining such evidence. In this special issue, we concentrate primarily
on a common approach to the detection of transitions across a number o
f domains of development. However, in doing so illustrations are given
of the ways in which the hypothesis of self-organization can be used
to account for the mechanisms of developmental transitions.