经过多年的教学分析,我发现学生们听得懂与做得对完全是两码事。课堂上听得懂,一到课下习题就会出错,这最主要的原因是学生们对于知识的理解不够深入,大部分的学生仅仅看到数学知识的表面,缺乏深入的探索与研究,从而所看到的,学到的知识都是很狭隘的。因此,如何帮助学生们打开眼界、深入地去学习,充分的领略数学面貌成为了当下教学的首要任务。 After many years of teaching analysis, I found that students understand and do exactly what they are doing. Class understanding, one to class exercises will go wrong, the main reason is that students understand the knowledge is not deep enough, most students only see the surface of mathematical knowledge, the lack of in-depth exploration and research and thus What you see and learn is very narrow. Therefore, how to help students to open their horizons, to learn in depth, fully understand the mathematical aspects of the current teaching has become the primary task.