Intelligent Learning Environments: The Case of Geometry: SER F / v.117 (Nato ASI Subseries F:) - Hardcover

This book is a thoroughly revised result, updated to mid-1995, of the NATO Advanced Research Workshop on "Intelligent Learning Environments: the case of geometry", held in Grenoble, France, November 13-16, 1989. The main aim of the workshop was to foster exchanges among researchers who were concerned with the design of intelligent learning environments for geometry. The problem of student modelling was chosen as a central theme of the workshop, insofar as geometry cannot be reduced to procedural knowledge and because the significance of its complexity makes it of interest for intelligent tutoring system (ITS) development. The workshop centred around the following themes: modelling the knowledge domain, modelling student knowledge, design­ ing "didactic interaction", and learner control. This book contains revised versions of the papers presented at the workshop. All of the chapters that follow have been written by participants at the workshop. Each formed the basis for a scheduled presentation and discussion. Many are suggestive of research directions that will be carried out in the future. There are four main issues running through the papers presented in this book: · knowledge about geometry is not knowledge about the real world, and materialization of geometrical objects implies a reification of geometry which is amplified in the case of its implementation in a computer, since objects can be manipulated directly and relations are the results of actions (Laborde, Schumann). This aspect is well exemplified by research projects focusing on the design of geometric microworlds (Guin, Laborde).

This book is based on a NATO workshop for researchers concerned with the design of intelligent learning environments for geometry. Geometry cannot bereduced to procedural knowledge and its complexity makes it of interest for the development of intelligent tutoring systems. The central theme of the volume is student modeling, which has three aspects: modeling the knowledge domain, modeling student knowledge, and designing the didactic interaction and learner control. Four main issues runthrough the papers in the book: - Knowledge about geometry is not real-world knowledge and its computer implementation implies a reification of geometry. - The learning of geometry involves conceptualization at a number of different levels, which must be reflected when modeling student knowledge. - The design of the interface and the management of the didactic interaction must cope with multiple representations. - Domains of geometry other than plane geometry are considered. The book is part of the NATO Special Programme on Advanced Educational Technology.