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OntoMath~(Edu): A Linguistically Grounded Educational Mathematical Ontology

机译：OntoMath〜（Edu）：一种基于语言的教育数学本体论

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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.
机译：我们介绍了新的教育数学本体论OntoMath〜（Edu）的第一个版本。该本体旨在用作数学教育的链接开放数据中心，用于智能数学语言处理的语言资源以及最终用户参考教育数据库。本体分为三层：基础本体层，领域本体层和语言层。领域本体层包含与语言无关的概念，涵盖中学数学课程。语言层为这些概念提供了语言基础，基础本体层为它们提供了元本体论注释。这些概念分为两​​个主要层次结构：对象的层次结构和已确定关系的层次结构。就我们所知，OntoMath〜（Edu）是第一个链接开放数据数学本体，它尊重基础本体所提供的本体区别。将数学关系表示为优先实体;并为所代表的数学概念提供了扎实的语言基础。

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