The Use of Analogy to Simplify the Mathematical Description of the Didactical Process

Abstract

The article presents a new method of modelling the didactical process using a developed educational network and the microsystems simulator. The didactical process can be represented in the intuitive form of a network of connected elements in a similar way to the electrical circuits. The network represents the differential equations describing a dynamic system which models the information flows as well as learning and forgetting phenomena. The solutions of the equations are more adequate than the direct formulas used in modelling i.e. the learning and forgetting curves known from the literature. The network variables and their meaning are relative to generalized variables defined in the generalized environment. This enables using any of the microsystems simulators and gives access to many advanced simulation and optimization algorithms. The use of the microsystems simulator enables simulation of the didactical process in time and prediction of effects also after its completion in the long-term. Based on the simulation, you can design a teaching process, as well as draw conclusions about the process itself and the composition of groups. Selected examples with a brief description have been included. The issues discussed in the work may be of interest to those involved in the analysis and mathematical description of the didactic process. The paper can be interesting for those who deal with modelling of the systems which incorporates the learning and forgetting process, in particular, in production processes or learning platforms.