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OntoMath\({}^{Edu}\): A Linguistically Grounded Educational Mathematical Ontology

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Intelligent Computer Mathematics (CICM 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12236))

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Abstract

We present the first release of OntoMath\({}^{Edu}\), a new educational mathematical ontology. The ontology is intended to be used as a Linked Open Data hub for mathematical education, a linguistic resource for intelligent mathematical language processing and an end-user reference educational database. The ontology is organized in three layers: a foundational ontology layer, a domain ontology layer and a linguistic layer. The domain ontology layer contains language-independent concepts, covering secondary school mathematics curriculum. The linguistic layer provides linguistic grounding for these concepts, and the foundation ontology layer provides them with meta-ontological an-notations. The concepts are organized in two main hierarchies: the hierarchy of objects and the hierarchy of reified relationships. For our knowledge, OntoMath\({}^{Edu}\) is the first Linked Open Data mathematical ontology, that respects ontological distinctions provided by a foundational ontology; represents mathematical relationships as first-oder entities; and provides strong linguistic grounding for the represented mathematical concepts.

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Acknowledgements

The first part of the work, the development of the domain ontology layer, was partially funded by RFBR, projects # 19-29-14084. The second part of the work, the development of the linguistic layer, was funded by Russian Science Foundation according to the research project no. 19-71-10056.

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Authors and Affiliations

  1. Kazan Federal University, Kazan, Russia

    Alexander Kirillovich, Olga Nevzorova, Marina Falileeva, Evgeny Lipachev & Liliana Shakirova

  2. Joint Supercomputer Center of the Russian Academy of Sciences, Kazan, Russia

    Alexander Kirillovich

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  1. Alexander Kirillovich
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  2. Olga Nevzorova
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Correspondence to Alexander Kirillovich .

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  1. Department of Mathematics and Computer Science, Freie Universität Berlin, Berlin, Germany

    Christoph Benzmüller

  2. National Institute of Standards and Technology, Gaithersburg, MD, USA

    Bruce Miller

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Kirillovich, A., Nevzorova, O., Falileeva, M., Lipachev, E., Shakirova, L. (2020). OntoMath\({}^{Edu}\): A Linguistically Grounded Educational Mathematical Ontology. In: Benzmüller, C., Miller, B. (eds) Intelligent Computer Mathematics. CICM 2020. Lecture Notes in Computer Science(), vol 12236. Springer, Cham. https://doi.org/10.1007/978-3-030-53518-6_10

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