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基于随机时滞模型的学习成绩波动规律
引用本文:陈育庭.基于随机时滞模型的学习成绩波动规律[J].数学的实践与认识,2011,41(10).
作者姓名:陈育庭
作者单位:广东省江门市教育局教研室,广东江门,529000
摘    要:依据学习机制和教育心理学、认知心理学等有关研究成果,运用动力系统、随机过程等理论,构建描述学习成绩变化的随机时滞模型,并通过模型动力学性态的研究来揭示学习成绩波动特性,预测学习成绩对学习系统中内外因素的反应,分析造成学习成绩波动的原因,探讨相应的教学干预策略.结果表明,学习成绩波动是由4种动力学模式主导;学习成绩对学习系统内外因素具有高度的敏感性.这将从理论上加深对认知涌现机制的认识,并对于拓展和改进教学思维有积极意义.

关 键 词:学习成绩  随机时滞模型  波动规律  学习机制  动态生成

Fluctuation Rules of Grades Based on Stochastic Delay Model
CHEN Yu-ting.Fluctuation Rules of Grades Based on Stochastic Delay Model[J].Mathematics in Practice and Theory,2011,41(10).
Authors:CHEN Yu-ting
Institution:CHEN Yu-ting (Teaching & Research Office,Jiangmen Education Bureau,Jiangmen 529000,China)
Abstract:According to the research results in Learning Mechanism,Education Psychology and Cognitive Psychology,we construct Stochastic delay model to show the fluctuations of grades,using the theories,such as dynamical systems and stochastic process.By researching in Dynamical behavior of model,we reveal the characteristics of the fluctuations of grades, predict what effects the external and internal factors in Learning System have on grades, analyse the reasons for the fluctuations of grades and explore some releat...
Keywords:grades  stochastic delay model  fluctuation Rules  learning mechanism  dynamic generation  
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