ActiveMath is a generic web-based learning system that dynamically generates interactive (mathematical) courses adapted to the studentâ€™s goals, preferences, capabilities, and knowledge. The contentâ€¦ (More)

This article describes how mathematical content items and formulÃ¦ are processed, retrieved, and accessed in ActiveMath. Central to the retrieval and access is a search tool which allows for searchingâ€¦ (More)

Knowledge-based proof planning is a new paradigm in automated theorem proving (ATP) which swings the motivational pendulum back to its AI origins in that it employs and further develops many AIâ€¦ (More)

ActiveMath is a complex Web-based adaptive learning environment with a number of components and interactive learning tools. The basis for handling semantics of learning content is provided by itsâ€¦ (More)

ActiveMath is a web-based intelligent tutoring system for mathematics. This article presents the technical and pedagogical goals of ActiveMath, its principles of design and architecture, itsâ€¦ (More)

Proof planning is an application of Artiicial Intelligence (AI)-planning in mathematical domains for theorem proving. The paper presents a knowledge-based proof planning approach that is implementedâ€¦ (More)

The CASC competitions among automated theorem provers show that there is no single system that outperforms all other systems in all domains. One reaction to this observation is the combination ofâ€¦ (More)

This paper addresses a model of analogy-driven theorem proving that is more general and cognitively more adequate than previous approaches. The model works at the level of proof-plans. Moreâ€¦ (More)