1. Correspondence thinking method

Correspondence is a way of thinking about the connection between two set factors. Primary school mathematics is generally an intuitive chart with one-to-one correspondence, and is based on This is the idea of ????pregnancy function. For example, the points on the straight line (number axis) correspond to the specific numbers.

2. Hypothesis thinking method

Hypothesis is to first make some assumptions about the known conditions or problems in the question, and then make calculations according to the known conditions in the question, and appear according to the quantity It is a way of thinking that makes appropriate adjustments to the contradictions and finally finds the correct answer. Hypothesis thinking is a kind of meaningful imaginative thinking. After mastering it, it can make the problems to be solved more vivid and concrete, thus enriching the ideas for solving problems.

3. Comparative thinking methods

Comparative thinking is one of the common thinking methods in mathematics, and it is also a means to promote the development of students' thinking. When teaching fraction application questions, teachers should be good at guiding students to compare the situations before and after changes in known and unknown quantities in the questions, which can help students find solutions to the problems quickly.

4. Symbolic thinking method

Using symbolic language (including letters, numbers, graphics and various specific symbols) to describe mathematical content, this is symbolic thinking. For example, various quantitative relationships in mathematics, changes in quantities, and derivation and calculations between quantities all use small letters to represent numbers and express a large amount of information in the condensed form of symbols. Such as laws, formulas, etc.

5. Analogy thinking method

Analogy thinking means that based on the similarity of two types of mathematical objects, it is possible to transfer the properties of one type of known mathematical objects to another type of mathematics. The thought of object going up. Such as the commutative law of addition and the commutative law of multiplication, the area formula of a rectangle, the area formula of a parallelogram and the area formula of a triangle. The idea of ??analogy not only makes mathematical knowledge easier to understand, but also makes memorizing formulas as natural and concise as a smooth flow of water.