Development of an Integrated Complex of Knowledge Base and Tools of Expert Systems for Assessing Knowledge of Students in Mathematics within the Framework of a Hybrid Intelligent Learning Environment

The paper is devoted to the development of instrumental and methodological support for the assessment of students' knowledge in mathematics in the framework of a hybrid intellectual learning environment. According to the structural scheme of the model of intellectual assessment of knowledge and creative potential of students in mathematics, the structure of the corresponding knowledge base is formalized. Knowledge base within the framework of data mining methods to create a module for monitoring and evaluating knowledge in mathematics has been developed. To model the educational process the authors propose methods for solving clustering, dimensionality reduction, and classification problems based on machine learning and artificial neural networks. The basics for the development of integrated knowledge base complexes and artificial intelligence tools for the educational process are presented. The obtained results are aimed at creating methods which ensure the processes of operational training, control and evaluation of knowledge.