Framework of a System for Extracting Mathematical Concepts from Content MathML-Based Mathematical Expressions
This study proposes the framework of a system that extracts mathematical concepts from an input mathematical expression. In this paper, math concepts are represented as specific patterns in math expressions such as “differential equations” and “quadratic functions.” This system, termed the concept extraction system, presents a math concept when an input math expression includes the pattern for that particular math concept. The system uses two key components: “MathPlaceholder,” an originally defined XML vocabulary to describe patterns, and a pattern discriminator, a mechanism to identify whether an input math expression includes the predefined pattern(s). Math expressions described by an XML vocabulary called Content MathML have been used for this study. Lastly, the following two applications of the proposed system are presented: (1) it can be used as an information retrieval tool to match math concepts in math expressions, and (2) it can be used together with a learning management system that provides study material for the concepts used in a given math expression.
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