Visual reasoning is an essential skill for many disciplines in engineering, architecture, and design. The underlying cognitive processes of visual reasoning form a basis in various problem-solving processes. We describe an intelligent tutoring system for visual reasoning that uses the missing view problem. This system, called Intelligent Visual Reasoning Tutor (IVRT), can adaptively support different learners' needs, track learners' progress, and provide active critiquing. IVRT uses a two-level reasoning architecture, combining geometric reasoning and semantic technologies, which enables the development of ITS for 3D geometry domains. We discuss IVRT's system architecture and implementation, which includes a learning contents model based on skills, lessons, and problems, and a learner model that measures domain competence as a set of skills. Learning contents and pedagogical teaching strategy rules are stored in standard OWL ontologies, which can be customized by the teacher.
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