The optimal control strategy in continuous teaching based on the compound memory-forgetting model frame
LIU Danqing1,2,3, LI Yazhi4, WU Zhenqiang1,3, GUO Qiang5, LIU Jianguo6*
(1 Key Laboratory of Modern Teaching Technology, Ministry of Education, Xi′an 710119, Shaanxi, China;2 School of Computer, Qinghai Normal University, Xining 810008, Qinghai, China;3 School of Computer Science, Shaanxi Normal University, Xi′an 710119, Shaanxi, China;4 School of Mathematics and Statistics, Qiannan Normal University for Nationalities, Duyun 558000, Guizhou, China;5 Research Center of Complex Systems Science, University of Shanghai for Science and Technology, Shanghai 200093, China;6 Data Science and Cloud Service Research Center, Shanghai University of Finance and Economics, Shanghai 200433, China)
Abstract:
The influence of teaching strategies on knowledge dissemination systems are investigated and teaching management objective is optimized through mathematical modeling and analysis of teaching phenomena. Specifically, learners′ brains are divided into two rooms: the short-term and long-term memory rooms and the compound memory-forgetting model frame in continuous teaching is proposed. Further, three knowledge diffusion models are built: bilateral continuous diffusion model, unilateral impulsive diffusion model, and bilateral impulsive diffusion model according to the different forms of diffusion between two rooms. Based on the theory of population dynamics and mathematical analysis methods, we then explore the optimal teaching strategy like the teaching effort E or the teaching cycle Th, which can maximize the teaching management objectives such as stock knowledge or learning effectiveness. Finally, several examples are provided for further explanation and verification.
KeyWords:
the compound memory-forgetting model frame; knowledge diffusion model; continuous teaching; teaching strategy; optimal control