Based on the formal concept of knowledge structures originally proposed by Jean Claude Falmagne and Jeal-Paul Doignon, methodological developments and experimental investigations as well as applications are described for various knowledge domains. This monograph includes three main topics: theoretical issues and extensions of Doignon and Falmagne's theory of knowledge structures; empirical validations of specific problem types and knowledge domains, such as sentence comprehension, problem solving in chess, inductive reasoning, elementary mathematical reasoning and others; and application of...

This book is a sign of its times. Each one of the chapters - papers written by European authors of various backgrounds- illustrates a departure from the style of theorizing that has been prominent in the behavioral and social sciences for most of the century. Until very recently, models for behavioral phenomena were chi fly based on numerical representations of the objects of concern, e. g. the subjects and the stimuli under study. This was due in large part to the influence of nineteenth century physics, which played the role of the successful older sister, the one that had to be imitated if...

This book describes current applications and theory in knowledge spaces, including the bilingual ALEKS system, and its applications in mathematics and chemistry across the educational arc. Discusses knowledge spaces in teaching of college chemistry much more.