HighlightsLeActiveMath provides advanced technology, ideas and approaches. All topics addressed are cutting edge themes in the respective research communities and for the development of technology-enhanced learning.
For instance, supporting the learner most adequately while studying mathematics implies great challenges for the ability of the system to model the learner, maintain a coherent dialogue with the learner, and provide useful suggestions.
Learner modelling has to solve questions such as how to determine the values of variables associated with learning relating to factors such as motivation, affect and metacognition
how to model competency levels as used in the PISA studies
what beliefs held about the learner will benefit the learner most if they are shown to him/her.
The personalization relies on new solutions for adaptation to modern competency-levels as used in the PISA studies
adaption to the learner's profile, goals and context
formalization of pedagogical knowledge
diagnosis of learner's interactions
generation of useful feedback.
Enhancing the system with natural language dialogues presents all the difficulties of natural language understanding and generation. More problems are added by a mixture of text and mathematical expressions. Tutorial strategies have to be discovered empirically and geared towards pedagogical goals.
The reuse of learning content and of components requires rich semantic XML knowledge representation
realization of a service-approach for tools, components, and
databases.
Technological highlights include: open web-architecture and web-services
reusable components
multi-lingual system
sophisticated personalization
quality web-presentation including mathematical formulae
player for several types of interactive (multi-step) exercises
computer algebra system and other services used to generate feedback in interactive exercises
interactive tools: lexicon, private and public notes, adaptive assessment tool, interactive concept map tool
open learner model for visualizing the learner�s abilities
searchable web-based repository of interactive exercises.
Pedagogical highlights include: moderate constructivist course
problem-based learning support
to model pedagogical knowledge
to model competency-level pedagogy.
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