What are the basic mathematical thinking methods commonly used in middle schools?

The idea of reduction is a method to solve the problem by reducing the problem to be solved by some means when studying and solving related mathematical problems.

When finding the root, transform the equivalence of the root into the simplest form, and then the problem is solved.

take for example

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What is the arithmetic square root?

What is the arithmetic square root of 16?

Analogical reasoning is of great significance in people's activities to understand and transform the objective world. You can learn from analogy and inspire thinking. It is not only the basis for solving a large number of life problems, but also a powerful tool for scientific research and invention.

For example, the addition and subtraction operation of quadratic roots "merging similar quadratic roots and merging similar items" is similar, so the addition and subtraction of quadratic roots can be compared with the addition and subtraction of algebraic expressions, such as:

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Classification thought Classification thought is a kind of mathematical thought that divides mathematical research objects into different kinds according to the similarities and differences of mathematical essential attributes.

In the calculation of roots, we can divide them into arithmetic square root and square root. For example, the arithmetic square root of 16 is 2, and the square root is 2.