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How can we have careful mathematical thinking?
I think it should not only be rational analysis, decomposition and explanation, but also need perceptual inspiration, enlightenment and intuition.

Do the problem to see the topic information should have divergent thinking, through the data, the text can be associated with what it may test, with what method (such as separation of variables, elimination method ...

Do more classified discussions,

3, 5, do more questions, especially proof questions. Can you explain what mathematical thinking means? Check yourself on Baidu, and you have the best answer.

Mathematical way of thinking, someone summed up a lot:

Such as directional thinking, reverse thinking, diffusion thinking, innovative thinking and so on.

But I always think that it is not as good as a kind of thinking-logical thinking.

Logic has two meanings at different levels and angles: 1. Logic is a sequence and a law. 2. Logic needs to be classified and then summarized. Logic is an abstract thinking of human beings, which is based on concepts, judgments, reasoning and argumentation.