Contents

Section 1: Overview
• Mathematical Intelligent Learning Environments
• Mathematical Learning Environments: A French Viewpoint

Section 2: Techniques
• Building the expert module for ITSs in mathematics: a general reasoning apparatus
• Some techniques for building mathematical intelligent tutoring systems
• The anatomy of FITS: a mathematic tutor
• Student modelling using plan recognition

Section 3: Cognitive Word Problem-Learning Environments
• From natural language to mathematical representations: a model of mathematical reasoning
• An experimental instructional tool for developing metacognitive awareness in a problem-solving context
• A simple learning environment improves mathematical reasoning

Section 4: Empirical Investigations
• A diagnostic knowledge-based system for fractions
• Using coca to build an intelligent tutoring system in simple algebra
• Student activity in an intelligent learning environment