A Nonlinear Dynamic Model for Individual Learning with Plateau Phenomenon

Individual learning is the basis for organizational learning and group learning. This paper introduces inhibiting factors and promoting factors into the logistic models to study the plateau phenomenon and related problems of individual learning. We established a nonlinear dynamic model for the plateau phenomenon and analyze the stability and bifurcation of the equilibrium point of the model. The influence of each parameter on individual learning has also been studied. The results are as follows: Firstly, initial knowledge, ratio of inhibiting factors and promoting factors, and teaching difficulties jointly affect individual learning and determine whether the plateau phenomenon occurs or snot. Secondly, It mainly depends on the ratio of inhibiting factors and promoting factors whether students could break through the plateau as the plateau phenomenon occurs. Finally, the result suggests teachers should pay more attention to students' learning states and consider the teaching difficulties to design appropriate teaching difficulties when they prepare for the instructional design.