Using symbolic language (including letters, numbers, graphics and various specific symbols) to describe the content of mathematics is symbolic thinking. The idea of symbols is to express complex words with simple and clear letter formulas, which is easy to remember and use. Abstracting objectively existing things and phenomena and their relationships into mathematical symbols and formulas is a process from concreteness to representation to abstraction. In mathematics, the relationship between various quantities, the change of quantities, and the deduction and calculation between quantities are all expressed in lowercase letters, and a large amount of information is expressed in the condensed form of symbols.

Step 2 turn to thinking

Transforming thinking is the most commonly used thinking method in mathematics. Its basic idea is to transform the solution of problem A into the solution of problem B, and then get the solution of problem A through the inverse of the solution of problem B ... Its basic principles are: to make things easy, to make life mature, and to make things simple.

Change your mind

Changing thinking is an important strategy to solve mathematical problems, and it is a way of thinking from one form to another. When the problem is transformed, both the known conditions and the conclusion of the problem can be transformed. Solving mathematical problems with the idea of transformation is only the first step, the second step is to solve the problem of transformation, and the third step is to reverse the solution of the problem of transformation into the solution of the problem.

4. Analogical thinking

Mathematical analogy refers to the idea of transferring the known attributes of one type of mathematical object to the other based on the similarity between the two types of mathematical objects. The idea of analogy not only makes mathematical knowledge easy to understand, but also makes the memory of formulas as natural and concise as logical conclusions, thus stimulating students' creativity.