Mathematics thinking mode in senior high school

In senior high school, the most important thing in mathematics learning is the way of thinking. Many students are not good at math, on the one hand, because they have not mastered the correct learning methods, on the other hand, because they lack mathematical thinking, which leads to their inability to use knowledge points and memory formulas. Today, Bian Xiao has compiled several necessary thinking methods for everyone to learn mathematics, hoping to help them!

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

Second, the 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 in the process of cognition. Luo Ji's thinking is widely used in solving logical reasoning problems.

Third, the reverse method

Directional thinking, also called divergent thinking, is a way of thinking reversely about seemingly conclusive common things or opinions. 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, the corresponding method

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) is an innovative method

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

A systematic study of intransitive verbs

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, analogy method

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, the image method

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