现代学习方式基本特征的数学模型及统计学分析

The mathematical model and statistical analysis of the basic characteristic on modern study way

建立了现代学习方式完全主动性检验统计量的数学模型Fα(f1,f2),通过抽样调查和方差分析表明:学习的兴趣和学习的责任作为学习主动性的两大内涵要素对学习效果影响极为显著.建立了独立学习的能力(y)对独立学习的欲望(x1)、机会(x2)和年级(x3)的样本回归方程为:y^=0.422 5+0.059x1+0.080x2-0.089x3并求出了相关系数R1=0.330 29,R2=0.610.

The mathematical model of test statistics F0 （fl ,f2 ） on the complete initiative of modern study way is establisted. Sample survey and analysis of variance indicate that as two major intensions and key elements, interest and responsibility influence the study effect extremely. A sample equation on regression line：^y = 0. 425 5 ＋ 0. 059x1 ＋ 0. 080x2 -0. 089x3, shows that the independent learning ability （y） is associated with the independent learning desire （x1 ）, chance （x2） and grade （x3）- The correlative coefficients ： RI = 0. 330 29, R2 = 0. 610 are finally obtained.