Mathematics in Virtual Knowledge Spaces: User Adaption by Intelligent Assistants
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AbstractThe engineer's and scientist's workplaces are about to change: Numerical software and Computer Algebra Systems remove the burden of routine calculation, but demand the ability to get familiar with new concepts and methods quickly. Given the rapid grow of knowledge in today's sciences, traditional "learning on supply" is no longer applicable; instead, learning and teaching methods have to be established that drive learners towards efficient self-controlled learning. We do not aim to replace the mentioned classical forms of teaching; rather, we present a blended learning approach that shows how the application of New Media and New Technology presents a turning point in the educational system by providing tools that close the gap between passive document retrieval systems on the one side and practical courses in laboratories on the other side. The value added by the New Technology is the ability to enrich the areas of classical educational fields - front lectures, literature research, homework training and laboratory experiments - by some limited form of "intelligence" and by suitable interfaces to allow entanglement of these areas. Thus, we propose tools that are not only able to adapt to the learning curve of the student, but that are also smart enough to point towards additional background information, and smart enough to find the required information in the given context. We present the application of New Media in four areas: Knowledge management, i.e. the presentation of mathematical content, intelligent lexicon toolkits that are able to learn from natural language texts, homework training courses that are able to break up assignments into elementary sub-problems as needed by the learner, and virtual laboratories that are able to provide courses that adapt to the errors of the learner, but are still rich enough to be used in research problems.
Jeschke, Sabina and Richter, Thomas and Seiler, Ruedi (2005) Mathematics in Virtual Knowledge Spaces: User Adaption by Intelligent Assistants. In: Recent Research Developments in Learning Technologies (2005). FORMATEX, Caceres, Spain. ISBN 609-5994-5