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Abstract
In the last two decades, the World Wide Web has become the universal information source. Search engines can efficiently serve daily information needs due to the enormous redundancy of relevant resources on the web. For educational and scientific information needs, the web functions much less efficiently: Scientific publishing is built on a culture of unique reference publications, and moreover, documents abound with specialized structures such as technical nomenclature, notational conventions, references, tables, or graphs. Many of these structures are peculiar to specialized communities determined by nationality, research group membership, or adherence to a special school of thought. To keep the much-lamented “digital divide” from becoming a “cultural divide,” we have to make online material more accessible and adaptable to individual users.
In this paper, we attack this goal for the field of mathematics where knowledge is abstract, highly structured, and extraordinarily interlinked. Modern, content-based representation formats like OpenMath or content MathML allow us to capture, model, relate, and represent mathematical knowledge object, and thus, make them context-aware and machine-adaptable to the respective user contexts. Building on previous work, which can make mathematical notations adaptable, we employ user modeling techniques to make them adaptive to relieve the reader of configuration tasks. We present a comprehensive framework for adaptive notation management and evaluate it on the proof-of-concept prototype panta rhei.
Acknowledgments
We would like to thank the KWARC group for their valuable feedback and discussions. Special thanks go to Stefania Dumbrava, Josip Dzolonga, Christoph Lange, Darko Makre-shanski, Dimitar Misev, Normen Müller, Andre Nies, Florian Rabe, Alen Stojanov, and Jakob Ücker. This work was supported by JEM-Thematic-Network ECP-038208.
Notes
Müller, C., & Kohlhase, M. (2008a). Context Áware Adaptation: A Case Study on Mathematical Notations. Research reports, Centre for Discrete Mathematics and Theoretical Computer Science, University of Auckland