1, corresponding thinking method

Correspondence is a way to think about the connection between two set elements. Primary school mathematics is generally a one-to-one intuitive chart, and the idea of latent function is conceived by it.

In primary school mathematics teaching, dashed lines, solid lines, arrows, counters and other graphics are mainly used to connect elements, objects, numbers and formulas, and quantities, thus infiltrating corresponding ideas.

For example, in the first volume of the first grade textbook, rabbits and deer, monkeys and bears, rabbits and birds are in one-to-one correspondence, so as to penetrate the corresponding relationship between things into students and provide them with thinking methods to solve problems.

2, change the way of thinking:

This is an important strategy to solve mathematical problems. This is a way of thinking that changes from one form to another. And its own size is constant. . Through transformation, we can simplify the complex, change the new into the old, simplify the complex, break the whole into parts, and turn the song into a straight one.

3. Symbolic thinking method

Symbolic thinking method uses symbolic language (including letters, numbers, graphics and various specific symbols) to describe mathematical content, which is symbolic thinking.

4. Classified thinking method

The thinking method of classification is not unique to mathematics, but embodies the classification and standard of mathematical objects.

5. Comparative thinking method

Comparative thinking is one of the common thinking methods in mathematics, and it is also a means to promote the development of students' thinking.

6. Analogical thinking method

Analogy means that based on the similarity between two types of mathematical objects, the known attributes of one type of mathematical object can be transferred to another type of mathematical object.

7. Alternative thinking methods

He is an important principle of solving equations, and one condition can be replaced by other conditions when solving problems.

8. Hypothetical thinking method

Hypothetical thinking is a meaningful imaginative thinking, which can make the problem to be solved more vivid and concrete after mastering it, thus enriching the thinking of solving problems.

9. Reversible thinking method

It is the basic idea in logical thinking. When the positive thinking is difficult to solve, we can seek the way to solve the problem from the condition or problem thinking, and sometimes we can use the line segment diagram to push back.

10, mode of thinking

Reduction is a common thinking method to solve mathematical problems. Transformation refers to the problem to be solved or unsolved, through the transformation process, reduced to a class of solved or easy-to-solve problems, in order to get the solution.