Current location - Training Enrollment Network - Mathematics courses - What are the mathematical thinking?
What are the mathematical thinking?
There are eight common thinking methods in mathematical thinking: abstract thinking, logical thinking, combination of numbers and shapes, classified discussion, equation thinking, universal thinking, deep thinking and reduced thinking.

First, change thinking.

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, and seeking the best way to make the problem simpler and clearer.

Second, logical thinking.

Logic is the foundation of all thinking. Logical 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 in the process of cognition. Logical thinking is widely used to solve logical reasoning problems.

Third, reverse thinking.

Reverse thinking, also known as divergent thinking, is a way of thinking about common things or opinions that seem to have become conclusive. Dare to "do the opposite", let thinking develop in the opposite direction, conduct in-depth exploration from the opposite side of the problem, establish new concepts and shape new images.

Fourth, corresponding thinking.

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

Verb (abbreviation of verb) innovative thinking

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 get unique solutions. It can be divided into four types: difference type, exploration type, optimization type and negative type.

Sixth, systematic thinking.

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, analyzing and judging what the knowledge points belong to when getting the topic, and then recalling what types of such questions are divided into and the corresponding solutions.

Seven, analogical thinking

Analogical thinking refers to the thinking method of comparing unfamiliar and unfamiliar problems with familiar problems or other things according to some similar properties between things, discovering the essence of knowledge, finding its essence, and thus solving problems.

Eight, thinking in images

Thinking in images mainly refers to people's choice of things in the process of understanding the world, and refers to the thinking method of solving problems with intuitive images. Imagination is an advanced form of thinking in images and one of the basic methods.