微三角形在一元微积分教学中的应用

Application of Micro Triangle in Univariate Calculus Teaching

在一元微积分的教学中,微分的概念的教学始终是一个难点,引入莱布尼兹的微三角形可使以上内容的教学简洁化、条理化、直观化,并以此为契机,简化微分概念以及弧长计算的教学难度,适应受教育者的认知能力,让受教育者能从形而上学的研究方式向辩证思维模式自然过渡,形成直观并且严谨的治学方式。

In once basic infinitesimal calculus teaching,differential conceptual education is a difficult point all the time ,the tiny triangle leading into Leibnitzian may make the above content teaching concise-rization ,methoize,penetrating-rization,and take this as turning point,facilitate the differential concept and long calculative arc teaching degree of difficulty ,adapt to the ability to learn through training person's is educated ,dodge to accept the way educating person to be able to transit from the metaphysics research way at ease to dialectical thinking model ,forming penetrating and rigorous doing scholarly research.