基于几何模型的评价系统构建

Construction of Evaluation System Based on Geometric Model

在“金课”背景下,各大高校对于线性代数课程改革的探讨不断深入,其中过程性考核模式倍受关注。在从课前、到课上、再到课后的连续教学体系中,过程性考核需及时积极有效,从而形成更加合理的评价体系。几何作为数学最古老的分支之一,结合函数思想产生了微分几何,其应用非常广泛。文章基于信息技术的融入,结合微分几何中曲线论思想,通过拟合函数构建学生平时成绩评价系统的几何模型,分析模型并从几何角度确定理想的权重比例。

Under the background of“golden course”,the discussion of Linear Algebra Curriculum Reform in universities has been deepening,and the process assessment mode has attracted much attention.In the continuous teaching system from before class,during class and after class,the process assessment needs to be timely,active and effective,so as to form a more reasonable evaluation system.As one of the oldest branches of mathematics,geometry combines the idea of function to produce differential geometry,which is widely used.Based on the integration of information technology and the curve theory in differential geometry,this paper constructs a geometric model of the student’s usual performance evaluation system through fitting functions,analyzes the model and determines the ideal weight proportion from the geometric perspective.