Theory of Polysort Graphs of Knowledge-Learning

Abstract

The rapid pace of development of the digital economy poses new challenges for education systems, making it extremely urgent to accelerate the deployment of new technologies and processes that ensure the timely development of digital skills demanded by the economy. This, in turn, necessitates the search for new effective educational technologies and solutions. The article discusses the theoretical foundations of the apparatus of special type graphs, consisting of vertices and directed edges of several sorts and called multi-sorted. Such apparatus is intended to create on its basis a toolkit for a system for the development of digital skills contributing to an increase in the efficiency of the development and implementation of educational processes. The advantage of the proposed toolkit is the ability to use it for the development, description, and configuration of educational content, as well as for managing the implementation of personalized educational processes. The article describes the algebra of polysort graphs, the basic operations on such graphs, examples of using this apparatus are given.

Keywords

• knowledge graph
• learning graphs
• digital skills
• bodies of knowledge
• curricula
• learning outcomes
• polysort graphs