On a certain analytical model of information flow used in the didactic process
Bogumił Leszczyński, Helena Kazieko, Lucyna Kazieko · International Journal of Mathematical Education in Science and Technology · 1988
An analytical model base on control of the inflow of information, where there is neither memorization nor repetition of information, is considered. The model includes the process of error propagation due to partial perception of material, as well as the process of memory lapse. The value of perception in the didactic process is investigated. An equation representing the didactic process has been obtained from the balance of information quantity transferred during the didactic process, effectively absorbed information, disinformation, memory lapse, and the amount of information inflow from outside. Simplifying assumptions lead to partial differential equations of the second order. The didactic process is analysed first at increasing and then at a constant velocity of information flow. Results obtained have a qualitative character only. It is stated that the progress of perception is influenced by the initial level of knowledge, and a fall in perception velocity is found. There exists a velocity of transmission of information whose reduction does not affect the increase of perception velocity.