A service for generating and visualizing educational cards of mathematical concepts based on the ontology of school mathematics OntoMathEdu is presented. The main stages of collecting information for displaying the concept card are given. The developed service is used as a recommendation system in the distance education course of KFU "Technology for solving planimetric problems". Mathematical concepts located in the texts of lecture materials are enriched with links to the corresponding concept card on the service.

The developed educational projections, levels and prerequisites of the mathematical educational multilingual ontology OntoMath^Edu are presented. Educational projection is viewed as the formalization of a certain system of subject training in mathematics. It is a subset of OntoMathEdu ontology concepts, which are structured at this stage of ontology development using two didactic relationships – educational level and prerequisites.

Educational levels are allocated on the basis of the teaching standards of the corresponding education system, the relation of prerequisites is determined by the sequence of the studied concepts in a particular education system.

The OntoMath^Edu ontology defines two projections representing the educational systems of Russia and Great Britain. The algorithm for constructing an ontology through linking various projections allows it to be further replenished with new educational projections, which can later be used in the system of multilingual teaching of mathematics.