积分几何在高职数学教学中的渗透

Research on Penetration of Integral Geometry in Mathematics Teaching in Vocational Colleges

以积分几何中的支持函数、曲率、凸域包含测度为主要对象,结合高职数学中的切线、导数定义、一元函数定积分,在高职数学教学中进行积分几何的渗透。实践证明,高职数学实施积分几何渗透教学,培养了学生的几何素养,大大提升了教学效果。

Integral geometry is integrated in advanced mathematics teaching by taking the support function, curvature and the containment measure of convex domains as the main research objects, combined with the tangent line, the definition of derivative and the definite integral on functions of one variable. Practice shows that teaching in this way can strengthen students＇ thirst for knowledge, simulate learning potential and improve teaching performance. Students can grasp the elementary knowledge, cultivate mathematics literacy and broaden their vision.