如何在数学教育中培养学生的创新能力和创新意识 ,是摆在每位数学教育工作者面前的重大课题 .传统的数学教学注重演泽推理 ,教师进行“像是帽子里突然跑出一只兔子”式的讲解 ,学生进行“程序输入”式的解题训练 ,教材也毫不吝啬地砍去了活生生的知识发生过程 ,这些极大地妨碍 How to train students’ innovative ability and innovative consciousness in mathematics education is a major topic for every mathematics educator. The traditional mathematics teaching emphasizes on the reasoning and the teacher conducts "like a hat suddenly ran out of a rabbit. In the “style explanation”, the students performed “procedural input” type problem-solving training. The teaching materials also unobtrusively cut off the process of living knowledge, which greatly hampered