“数学充满着矛盾”,已知与未知、现实与希求、正确与错误的联系和交替不时造成学生的认知冲突。教学中,教师正可利用和制造这些矛盾冲突,激活学生思维,把学生带入发现问题并解决问题的探究性学习活动之中。1.学会提问。问题是探究的核心,学生的探究活动是由问题引导的。疑问是 “Mathematics is full of contradictions”, known and unknown, reality and hope, the correct and wrong relations and alternation from time to time to create students’ cognitive conflict. In teaching, teachers are taking advantage of and creating these contradictions, activating student thinking and bringing students into exploratory learning activities where problems are identified and resolved. Learn to ask questions The problem is the core of the inquiry, and the inquiry activity of the student is guided by the problem. Doubt is