MODELLING OF FORGETTING CURVES IN EDUCATIONAL E-ENVIRONMENT

Modelling of the didactical process by using educational network needs network representation of learning and forgetting curves known from the literature. The learning and forgetting curves are the solution of differential equations. The differential equations can be represented in the form of a network of connected elements in a similar way to the electrical circuits and represented in the form of an intuitive schematic. The network can be simulated using a microsystems simulator. Such an approach enables the easy creation of the macro models and their analysis. It enables the use of many advanced simulation algorithms. The use of analogy enables defining the educational environment by defining network variables and giving them meaning relative to generalized variables. In the paper, examples of representation of forgetting curves as the above-mentioned network are presented. Parameters of elements were selected in the deterministic optimisation process. The obtained results were compared with the forgetting curves known from the literature. The appropriate time constants were identified in the systems and their values were given. Time constants have their equivalents in the appropriate values in the formulas describing the forgetting curves. Based on the results, appropriate conclusions were drawn. The work also shows the concept of a model that uses behavioural modelling and variable parameters of elements depending on the state and time. The model has been used in practice. The presented approach enables a much more accurate determination of the parameters of the forgetting curves. The models can be used in the simulation of the forgetting process. The paper can be interesting for those who deal with modelling of the didactical process, especially on the e-learning platforms.