Mathematical (abstract) thinking, mathematical (reasoning) thinking, mathematical modeling thinking.

In the process of actively participating in teaching activities, students gradually realize their mathematical ideas through independent thinking and cooperative communication.

overall goals

Through mathematics study in compulsory education, students can:

1. Get the basic knowledge, skills, thoughts and activities of mathematics necessary for social life and further development.

2. Experience the relationship between mathematics knowledge, mathematics and other disciplines, mathematics and life, and use mathematical thinking mode to think, thus enhancing the ability to find, ask, analyze and solve problems.

3. Understand the value of mathematics, improve interest in learning mathematics, enhance confidence in learning mathematics well, develop good study habits, and have a preliminary sense of innovation and a scientific attitude of seeking truth from facts.

Characteristics of the new curriculum standard of primary school mathematics;

The current outline of Number and Algebra mainly focuses on the operation of numbers, algebras, equations and functions, which has been greatly reformed in the standard:

1. Pay attention to the meaning of numbers and symbols and the feeling of logarithm, and realize the role of numbers in expression and communication. By exploring the meaning of rich problem scenario development operation, it is emphasized that under the premise of maintaining basic written calculation training, reasonable and simple operation paths and methods can be sought according to the subject conditions, estimation can be strengthened, calculators can be introduced, and diversification of algorithms can be encouraged.

2. For the application problem: the material selection emphasizes reality, interest and exploration; Diversified theme presentation forms (tables, graphics, cartoons, dialogues, words, etc.). ); Emphasize the selection and judgment of information materials (redundant information and insufficient information); Diversified strategy solution; The answer to the question may not be unique; Analysis of types and solutions of artificial application problems in desalination.

3. Make students understand that mathematics can discover, describe and analyze various patterns in the objective world, and grasp the changes of things and the relationship between things; Initially develop students' symbol consciousness, learn to express some basic relations in real problems with symbols, and initially carry out symbol operation.

4. Understanding equations and functions is a powerful tool to describe the real world, effectively express, process, communicate and transmit information, and an important means to explore the good development law of things and predict their development. We should attach importance to the modeling process of simple practical problems, learn to choose effective symbolic operation programs and methods to solve problems, and attach importance to approximate solutions, especially image solutions.