无疑处生疑 有疑处释疑——国优课“二次函数的概念”教学片断赏析与思考

Discovering and Solving Problem——The Teaching Observation of Excellent Classroom Model:The Conception of Quadratic Function

学生数学学习的过程是"无疑—有疑—无疑"的循环和超越过程.有疑和无疑是一对矛盾.教师的作用是"教"有疑与"教"无疑:无疑者需"教"而有疑,即无疑处生疑;有疑者又应"教"而无疑,即有疑处释疑.这便是"教"有疑与"教"无疑的辨证处理要诀,也是"教"有疑和"教"无疑的理想境界.

The process of math study is the process of the circulation and transcendence of problem-discovering and problem solving.What teachers should do is to teach students how to pose question and then solve it;the aim of teaching is leading students into question which are ignored and solving the problem asked by them.Teaching students how to pose question and then solve it not only the dialectical treatment,but also the ideal state.