Transforming thinking: When encountering obstacles in solving problems, we will change the direction of the problem from one form to another from different angles, and seek the best way to make the problem simpler and clearer.
Logical 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.
Reverse thinking: Reverse thinking, also called divergent thinking, is a way of thinking about things or ideas that seem to have been solved. Dare to "do the opposite", let thinking develop in the opposite direction, explore deeply from the opposite side of the problem, establish new ideas and shape new images.
Correspondence thinking: Correspondence thinking is a way of thinking that establishes a direct connection between quantitative relations (including quantity difference, quantity order and quantity rate). Common ones are general correspondence (such as the sum and difference times of two or more quantities) and ratio correspondence.
Hypothetical thinking: Hypothetical thinking means that when solving a problem, no matter whether thinking forward or backward, no solution can be found, but one or more unknown conditions in the topic are assumed to be known conditions, thus making the hidden or complex quantitative relationship in the topic clear and simple; On the other hand, it means to calculate according to known conditions and make appropriate adjustments according to the contradiction in quantity.
Innovative thinking: innovative thinking refers to the thinking process of solving problems with novel and unique 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 different solutions. It can be divided into four types: difference type, exploration type, optimization type and negative type.
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, first analyzing and judging which knowledge points belong to the topic, and then recalling what types of such topics are divided into and the corresponding solutions.
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, discovering its essence and solving problems.
Imagery thinking: Imagery thinking is mainly formed when people choose and choose the appearance of things in the process of understanding the world, and it refers to the thinking method of solving problems by using visual appearances. Imagination is the advanced form and basic method of thinking in images.
Inspirational thinking: Inspirational thinking, also known as subconscious thinking, is actually a kind of thinking that the brain runs at an ultra-high speed, and the intermediate process of thinking operation is so fast that the surface consciousness can't feel it. The sense that gives people is to input conditional information and directly produce results. Everyone has this kind of thinking ability, but the energy consumption is huge and the brain can't stand it.
The benefits of studying mathematics are as follows:
1. Mathematics can make your brain smarter and increase the rigor of thinking.
2. Mathematics is a basic subject. If you can't learn math well, you can't learn anything well. No matter what you want to learn, you must have a foundation in mathematics.
3. Mathematical knowledge runs through our life, which can be said to be everywhere. We live with these mathematical knowledge unconsciously every day.
Mathematics is the study of all quantitative relations and spatial position relations in the world. It can be said that without mathematics, nothing can move.