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On the thinking mode of mathematics
Mathematical thinking modes include: transformation, logic, inversion, correspondence, verb (abbreviation of verb) innovation, intransitive verb system and analogy.

1, conversion method:

Transforming thinking is both a method and a kind of thinking. Transformational thinking refers to changing the direction of the problem from one form to another from different angles when encountering obstacles in the process of solving problems, in order to seek the best way to make the problem simpler and clearer.

2. Logical method:

Logic is the foundation of all thinking. Luo Ji's thinking is a thinking process in which people observe, compare, analyze, synthesize, abstract, generalize, judge and reason things with the help of concepts, judgments and reasoning. Luo Ji's thinking is widely used in solving logical reasoning problems.

3, the reverse method:

Reverse thinking is also called divergent thinking. This is a way of thinking about common things or ideas, which seems to determine the opposite direction. Dare to "do the opposite", let your thinking develop in the opposite direction, explore deeply from the opposite side of the problem, establish new ideas and shape a new image.

4, the corresponding method:

Corresponding thinking is a way of thinking that establishes direct connection between quantitative relations (including quantity difference, quantity times and quantity rate). Common ones are general correspondence (such as the correspondence between the sum and difference of two or more quantities) and quantity ratio correspondence.

5. Innovative methods of verbs (verb abbreviations):

Innovative thinking refers to the thinking process of solving problems with novel and original methods. Through this kind of thinking, we can break through the boundaries of conventional thinking, think about problems with unconventional or even unconventional methods and perspectives, and come up with distinctive solutions. It can be divided into four types: difference, exploration, optimization and negation.

6, intransitive verb system method:

Systematic thinking is also called holistic thinking. Systematic thinking refers to having a systematic understanding of the knowledge points involved in a specific topic when solving a problem, that is, first analyzing and judging which knowledge points belong to the topic, and then recalling the types of such topics and the corresponding solutions.

7, analogy method:

Analogical thinking refers to a way of thinking that compares unfamiliar and unfamiliar problems with familiar problems or other things according to some similar properties between things, finds out the essence and essence of knowledge, and thus solves problems.