中文摘要：

可持续教学是培养学生可持续学习能力的重要途径,是实现教育可持续发展的关键.本文将结合格林、高斯、斯托克斯公式,尝试进行可持续教学探讨.在定理的引入阶段,抓住公式的本质和核心思想,引导学生主动探究,通过简单类比,巧妙缩短新旧知识之间的距离,激发学生学习新知识的强烈愿望,启发学生寻找规律、猜想公式,培养学生发现问题、探索问题以及解决问题的能力,提高学生的可持续学习能力,尽可能达到教与学的可持续发展.

英文摘要：

Sustainable teaching is an important way to develop students＇ sustainable studying. It is a key way to achieve sustainable education. The paper will do some attempts to achieve sustainable teaching by three important formulas in advanced mathematics： Green, Gauss and Stokes formulas. At the stage of formula introduction, use the core idea as the main line and highly unify the three formulas. Inspire students to take the initiative to do some research. Through a simple analogy, shorten the distance between the old and the new knowledge, and inspire students＇ strong desire to learn new knowledge. Guide them to explore the regularity and conjecture the formula on qualitative. Simultaneously, cultivate students＇ ability to find and solve problems, improve their ability of sustainable learning, and hence realize the sustainable developing of teaching and learning.