1, drawing strategy

In the process of solving a problem, it is the most commonly used strategy to draw a schematic diagram related to the meaning of the problem by drawing, and to help reasoning and thinking with the help of the schematic diagram. Common drawing methods are: line drawing, set drawing, etc. Translating the text of a difficult problem into pictures can immediately sort out ideas and find solutions.

2. Transformation strategy

Conversion is also a common method in solving mathematics problems in primary schools, which can turn complex problems into simple problems and unknown problems into known problems.

3. List strategy

List policy, also known as enumeration policy. It lists the conditional information of the problem in the form of a table, which is convenient for finding the problem and analyzing the quantitative relationship, thus eliminating the interference of non-mathematical information and finding the solution to the problem.

4. Enumeration policies

When solving some special problems, sometimes there is no way to formulate formulas. At this time, listing all possible situations of the research object can make the problem easier to solve. Just like the list strategy, we should think in an orderly way when enumerating, so as not to miss anything.

5. Alternative strategy

"Substitution", as the name implies, is "substitution"; "Change" naturally means "replacement". Substitution strategy is used to solve several problems in the relationship between quantity and total quantity. Using substitution strategy can simplify the relationship between two quantities and total quantity into one, which is helpful to solve the problem.

6. Reverse strategy

Reverse reasoning, that is, "back and forth" reasoning, is also called reverse reasoning reduction. That is, starting from the result of things, I guess backwards what it was like at the beginning. When we know the state of "now" and want to seek "originally", we can often use the backward strategy to help us think.

The same knowledge content, different understanding angles and different ways of thinking will lead to different problem-solving strategies. Usually, we should master as many problem-solving strategies as possible, and flexibly judge and choose relevant strategies for comprehensive application when encountering specific problems, so as to improve problem-solving ability and efficiency.