Eight ways of thinking in mathematics are algebraic thinking, combination of numbers and shapes, transformation thinking, corresponding thinking, hypothetical thinking, comparative thinking, symbolic thinking and extreme thinking. Transformational thinking in mathematical problem-solving 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.

Mathematics is different from Chinese, English and other language disciplines, which requires great thinking ability. As long as you master the problem-solving ideas of the same type of questions, you can answer them quickly no matter how the questions change. Mathematics originates from life and acts on it. In fact, the mathematical knowledge in textbooks can be found in real life, but you need to transform it into mathematical language through abstraction and simplification. Therefore, when learning mathematics, we should contact with life practice and understand the essential meaning.

Contents of Eight Thinking Methods in Mathematics

Reverse thinking, also called divergent thinking, is a way of thinking that dares to think in the opposite direction about seemingly conclusive common things or viewpoints, makes thinking develop in the opposite direction, explores from the opposite side of the problem, establishes new ideas and creates new images.

Logical thinking is a thinking process in which people observe, compare, analyze, synthesize, abstract, generalize, judge and reason with the help of concepts, judgments and reasoning in the process of cognition. Logical thinking is widely used to solve logical reasoning problems, and 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 distinctive solutions, which can be divided into four categories: seeking differences, exploring, optimizing and denying.