ONTOLOGICAL MODEL OF PROBLEMS FOR PREPARATION FOR MATHEMATICAL OLYMPIADS

Nuyakshin Mihail Gennadievich

The article is devoted to the creation of an ontological model for systematization and classification of mathematical problems intended for preparing schoolchildren for Olympiads. The main goal of the work is to optimize the learning process and increase the efficiency of student training through a structured presentation of problems and their attributes. The article examines in detail the components of the ontological model, such as topics, types of problems, difficulty levels, and skills required to solve them. A description of the Olympiad problem is proposed as a vector of parameters, where each component corresponds to a specific characteristic of the problem. Particular attention is paid to the integration of ontology with a relational database, which allows for the implementation of an adaptive approach to learning and provides flexible query customization for selecting problems. The general architecture of the system is presented, including tools for extracting and transforming data, as well as loading it into the ontological model.

Keywords:ontological model, mathematical problems, classification of problems, preparation for olympiads, adaptive learning, semantic queries, relational database.