Dynamic systems theory (DST) is presented in this article as a suitable approach to research the acquisition of second language (L2) because of its close alignment with the process of second language learning. Through a process of identifying and comparing the characteristics of a dynamic system with the process of L2 learning, this article…

Presents a computational framework for modeling cognitive development that provides a language paradigm with which to compare and contrast different facets of children's knowledge. Describes the generative connectionist algorithm "cascade-correlation," the successful use of the algorithm to model cognitive development in various…

Uses case studies of students to outline the theories related to cognitive development and different ways of understanding what knowledge is. Organizes four sets of concepts: (1) the construct of intelligence; (2) different ways of knowing; (3) the nature of constructivism; and (4) the active, strategic process of learning. Contains 19 references.…

Maintains that considerable evidence suggests that educators can successfully use knowledge of cognitive development to guide college instruction. Discusses thinking processes as either primarily incidental or deliberate. Contends that separate thinking based on these principles leads to improved critical thinking skills. (CFR)

Based on the premise that psychology can be an invaluable tool to mathematics educators, this book highlights how informal mathematics develops, how children construct their view of school arithmetic, and how mathematical thinking operates. The ideas offered are intended to assist teachers in making informed decisions concerning mathematics…