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思维是数学的核心。按思维的收敛与发散来分,思维分聚合思维与发散思维;按思维过程的指向性(方向)来分,思维分正向思维与逆向思维———它们有各自侧重的思考方法,也有交叉或重叠的部分,如,逆向思维就属于发散思维的范畴。无论是何种思维方式,都对学生学习数学有着深刻的影响。一、逆向思维的价值数学中的逆向思维有两个特征:(1)可逆性。即反过来思考,如,逆题目结论,逆推理方法,逆序转化等。(2)双向性。即正反交叉思考,解题时将
Thinking is the core of mathematics. According to the convergence and divergence of thinking, thinking sub-converge thinking and divergent thinking; according to the point of the thinking process (direction) points, thinking is divided into positive thinking and reverse thinking --- they have their own ways of thinking, but also cross Or overlapping parts, such as reverse thinking belongs to the category of divergent thinking. No matter what kind of way of thinking, have a profound impact on students learning mathematics. First, the value of reverse thinking Mathematical reverse thinking has two characteristics: (1) reversible. That is, in turn, thinking, such as inverse title conclusion, inverse reasoning method, reverse order transformation. (2) Bidirectional. That is, positive and negative cross-thinking, problem solving will be