基于探究式学习的“泰勒公式”教学设计

Teaching Design of“Taylor Formula”Based on Exploratory Learning

通过设置一系列层层递进的问题,引领学生通过探究式的方式学习泰勒公式,并借助动态几何画板Geogebra进行动态演示.在此过程中一方面以诗词为德育元素融入课程思政,弘扬传统文化,另一方面揭示微积分中的辩证思想,使得在帮助学生理解和掌握泰勒公式的同时,既能逐步培养学生分析问题、解决问题的科研能力,熟悉用数学实验手段解决问题的过程,又能建构学生正确的数学观,提升学生的数学素养.

By setting a series of progressive questions,students are guided to learn Taylor’s formula through inquiry learning,and a dynamic demonstration is carried out with the help of the dynamic geometry Sketchpad GeoGebra.In this process,on the one hand,poetry is used as the element of moral education,integrated into the curriculum thought and politics,and carried forward the traditional culture.On the other hand,it reveals the dialectical thought in calculus,so that while helping students understand and master Taylor formula,it can not only gradually cultivate students’scientific research ability to analyze and solve problems,be familiar with the process of solving problems by mathematical experimental means,but also construct students’correct mathematical view and improve students’mathematical literacy.