Within the LeActiveMath project, a collection of OMDoc files and supporting material has been realized. This content covers the derivative side of calculus and is being used by students in the LeActiveMath learning environment. LeAM-calculus is the first collection trying to make use of most of the features of the learning environment including advanced usages of OpenMath and OMDoc. It has been written in OQMath, a readable xml-syntax. This paper describes the tools to produce it, how they were used and combined, the resulting content and the experience gained. It argues that the declaration of new OpenMath symbols is a requirement and explains challenges of authoring semantic mathematical content. Finally, it presents the management activities to support the authoring process.

Abstract. We developed a just-in-time delivery framework (Dynamic Items), which adds a concept to adaptive course generation which enables features similar to but more general than those of adaptive hypermedia (adaptive selection and sequencing). It offers a generic technique for dynamic decisions in e-Learning systems. This paper describes the framework and discusses several instances of Dynamic Items in the webbased platform ActiveMath. Key words: E-learning and intelligent learning environments, Tailoring information presentation to the user, Supporting learning and reflection 1

Abstract. Adaptive course generation is more flexible if it includes mechanisms deciding just-in-time which exercises, which external resources, and which tools to include for an individual student. We developed such a novel delivery framework (called Dynamic Items) that is used by the web-based platform ActiveMath. We describe the framework and discuss several new applications of Dynamic Items for an individual student. 1

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