Our research covers various areas such as cognitive systems, interactive learning, mathematics education, and Semantic Web and is based on empirical research. In our research we developed a number of software tools and components, including the web-based, user-adaptive learning system ActiveMath ( → Software ). Areas of interest include:
Knowledge Representation
- Semantic knowledge representation, management, and ontologies ( → OMDoc, → Content storage in AM)
- Semantic search in large knowledge repositories ( → AM search tools)
- Modelling of pedagogical knowledge: competencies, strategies ( → AM learner model, → AM tutorial component)
- Competency matching and competency-editing tools
- Semantic representation of mathematics ( → OMDoc)
Adaptivity
- Student modelling ( → AM learner model)
- Adaptive hypermedia ( → AM presentation system) and adaptive course generation ( → AM tutorial component)
- Internationalization and Cultural Adaptivity
Interactive Problem Solving
- Exercise generation ( → AM exercise system)
- Diagnosis and adaptive feedback generation ( → AM exercise system)
- Erroneous examples and misconceptions ( → AM exercise system)
Authoring
- (Intelligent) Authoring tools for Semantic Web knowledge:
- → jEditOQMath (see also eds.activemath.org, the jEditOQMath video and the book of authoring tasks)
- → eXtasy
- Collaborative and distributed authoring
- Peer authoring
Modern Web Applications
- Service architectures ( → AM architecture, → AM event framework)
- Web-presentation of mathematics ( → AM presentation system, → Mathematical annotations in AM)
- User interface design and user input facilities
- Multi-modal output ( → AM presentation system)
- Interactive concept mapping ( → AM iCMap)
Educational data mining
- Action analysis and educational data mining
- Natural language processing
Collaborative Learning
- AI-based analysis of e-Discussions
E-Portfolio
- Augmental memory
- Learning diary
- Natural language processing