Unfamiliar problems to be solved are transformed into familiar problems because we can fully mobilize and use our existing knowledge, experience and methods to solve problems, often turning a complex problem into one or several simple problems to solve, or turning an abstract problem into a concrete problem to solve, and so on. This is the thinking method of transformation.

From this point of view, all kinds of mathematical thinking methods we use to solve mathematical problems are essentially a means of reduction between mathematical models. The combination of numbers and shapes embodies the mutual transformation of numbers and shapes, the thought of function equation embodies the mutual transformation of inequality of function equation, and the classified discussion embodies the mutual transformation of parts and whole. Therefore, the transformed thinking method has penetrated into the whole teaching content and problem-solving process, and has always been the key examination object of previous college entrance examinations.

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