自主探索是数学课程标准倡导的重要学习方式。在自主探索过程中,学生从他们已有的知识和经验出发,或对原有信息进行重组,或重新建构生成新的信息。无论是“重组”,还是“重新建构”,限于学生的认知水平,在探索过程中常常会有一些不尽合理的过程和错误的结论。深入学生的思维过程,我们会发现,许多错误都是在运用了某些重要的思维策略、思维方法之后产生的;有的是凭个人的生活经验 Self-exploration is an important way of learning advocated by mathematics curriculum standard. In the process of self-exploration, students start from their existing knowledge and experience, or reorganize or reconstruct the original information to generate new information. Whether it is “reorganization” or “reconstruction”, limited to students' cognitive level, there are often some unreasonable processes and incorrect conclusions in the exploration process. In-depth student thinking process, we will find that many mistakes are made in the use of some important thinking strategies, thinking methods; some based on personal life experience