二重积分“以学定教”模式的研究

The Research and Practice Exploration of the Model of "Teaching by Learning" of the Double Integral

二重积分是高等数学的重要内容之一。现以"以学定教"模式计算二重积分,计算二重积分要掌握其概念、性质、方法、对称性、奇偶性和定积分次序。选择内容和教法要根据学情,根据被积函数与积分区域的内容特征,灵活选择恰当的直角坐标系或极坐标系。

The double integral is one of the important content of advanced Mathematics. Now the double integral is obtained in the mode of "Teaching by Learning", the concept, property and method of double integral should be mastered. Contents and teaching methods should be chosen based on learning situation, and according to the content characteristics of the integrand and the integration region, a right-angle coordinate system or a polar coordinate system can be flexibly selected.