How to Cultivate Mathematical Thinking Ability
Mathematical thinking is an indirect reflection of the essential attributes and internal laws of mathematical objects (spatial form, quantitative relationship, structural relationship, etc.). ), and the rational activity of mathematical content is understood according to the general law of thinking. The cultivation of mathematical thinking ability should start from the following five aspects. 1, cultivate the flexibility of thinking. The flexibility of thinking refers to the timeliness of being able to adapt to the changes of things without being too affected by the mindset. 2. Cultivate the rigor of mathematical thinking. The rigor of thinking refers to the rigor and justification of considering problems. To improve the rigor of students' thinking, we must be strict and strengthen training. 3. Cultivate the profundity of mathematical thinking. Thinking depth refers to the abstraction and logical level of thinking activities, as well as the depth and difficulty of thinking activities. 4. Cultivate broad thinking. The broadness of thinking means that a problem can be considered from many aspects. Specifically, it can explain a fact in many ways, express an object in many ways, and put forward many solutions to a topic. 5. Cultivate critical thinking. Critical thinking refers to being good at strictly estimating thinking materials and carefully examining the thinking process in thinking activities. The above five kinds of thinking qualities are necessary ways to improve mathematical thinking ability, but we must not ignore them. These five kinds of thinking qualities are closely related and cannot be separated.