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在沪教版初中数学教材中,“三角形内角和”是七年级第二学期“三角形”一章第二节的内容.课标要求:经历操作、归纳和说理论证的过程,理解和掌握三角形的内角和性质,并会进行计算和实际应用.课堂上一般是将三角形纸片的三个角撕下来拼一拼.但这一操作方法与后面的说理方法的关联较弱,即所添辅助线是如何想到的?对照数学教学的三重境界——“知其然”、“知其所以然”、“何以知其所以
In the junior high school mathematics textbook for Shanghai Education, the ”triangle angle and “ are the contents of the second quarter of the second semester of the seventh grade and the second chapter of the ”triangle“ chapter. Course Requirements: The process of undergoing operation, induction, and theory verification. Understand and master the internal angles and properties of triangles, and will perform calculations and practical applications. In the classroom, the three corners of triangular papers are generally torn down to fight together. However, this method of operation is weakly related to the following reasoning methods. In other words, how do you think of the auxiliary line? The three levels of mathematics teaching--”Know what,“ ”What do you know,“ ”How do you know it?"