1, the concept of mathematics: mathematics is a science that studies quantitative relations and spatial forms.

2, the role of mathematics:

Mathematics, as a scientific language and tool gradually formed by abstracting and summarizing objective phenomena, is not only the foundation of natural science and technical science, but also plays an increasingly important role in humanities and social sciences.

3, the nature of the mathematics curriculum:

Mathematics course in compulsory education stage is a basic course to cultivate citizens' quality, which is basic, universal and developmental.

4, the basic idea of mathematics curriculum:

Mathematics curriculum should be devoted to achieving the training goal of compulsory education, facing all students, adapting to the needs of students' personality development, so that everyone can get a good mathematics education and different people can get different development in mathematics.

5, the design ideas of mathematics curriculum:

The design of mathematics curriculum in compulsory education stage fully considers the characteristics of students' mathematics learning at this stage, conforms to students' cognitive laws and psychological characteristics, and is conducive to stimulating students' interest in learning, arousing students' mathematical thinking, fully considering the characteristics of mathematics itself, embodying the essence of mathematics, and attaching importance to students' existing experience while presenting mathematical results as knowledge and skills, so that students can experience the process of abstracting mathematical problems from the actual background, establishing mathematical models, seeking results and solving problems.

6, mathematics curriculum objectives

It is expounded from four aspects: knowledge and skills, mathematical thinking, problem solving and emotional attitude.

7, in the mathematics course, should pay attention to the development of students:

Number sense, symbol consciousness, spatial concept, geometric intuition, data analysis concept, computing ability, reasoning ability, model thinking. Special attention should also be paid to cultivating students' awareness of application and innovation.

8. Model ideas

Establishing model thinking is the basic way for students to experience and understand the relationship between mathematics and the outside world. The process of establishing and solving the model includes: abstracting mathematical problems from real life or specific situations, and establishing equations, inequalities and functions with mathematical symbols. Express the quantitative relationship and changing law in mathematical problems, find the results and discuss the significance of the results. The study of these contents is helpful for students to initially form model ideas and improve their interest in learning mathematics and their awareness of application.

9, the cultivation of innovative consciousness

The cultivation of innovative consciousness is the basic task of modern mathematics education, which should be reflected in the process of mathematics teaching and learning. Students' self-discovery and questioning are the basis of innovation. Independent thinking and learning to think are the core of innovation; It is an important method of innovation to get conjectures and laws through induction and verification. The cultivation of innovative consciousness should start from the compulsory education stage and run through the whole process of mathematics education.

10, the overall goal of mathematics curriculum

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

2. Understand the relationship between mathematics knowledge, mathematics and other disciplines, mathematics and life, think with mathematical thinking mode, and enhance 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 initially have innovative consciousness and scientific attitude.

1 1, the relationship between the overall goal and other goals.

These four aspects of the overall goal are not independent and separated from each other, but an organic whole that is closely linked and blended with each other. These four objectives should be considered simultaneously in the course design and the organization of teaching activities. The full realization of these goals is a sign that students receive a good mathematics education. It is of great significance to the all-round, sustained and harmonious development of students. The development of mathematical thinking, problem solving and emotional attitude can not be separated from the learning of knowledge and skills, which must be conducive to the realization of the other three goals.

12, emotional attitude requirements in the overall goal

1, take an active part in mathematics activities, and have curiosity and thirst for knowledge about mathematics.

2, in the process of mathematics learning, experience the fun of success, exercise the will to overcome difficulties, and build self-confidence.

3. Understand the characteristics and value of mathematics.

4. Develop study habits such as diligence, independent thinking, cooperation and communication, reflection and questioning.

5. Form a scientific attitude of adhering to the truth, correcting mistakes and being rigorous and realistic.

13、

Understand the meaning

Understand or explain the relevant characteristics of objects from specific examples; According to the characteristics of the object, identify or explain the object from the specific situation.

14, the meaning of understanding

Describe the characteristics and origin of an object, and explain the differences and connections between this object and related objects.

15, which means proficient.

On the basis of understanding, use objects in new situations.

16, meaning of use

Make comprehensive use of the objects you have mastered and choose or create appropriate methods to solve problems.

17, the meaning of experience

Get some perceptual knowledge in specific mathematical activities.

The meaning of experience.

Participate in specific mathematical activities, actively understand or verify the characteristics of objects, and gain some experience.

19, the significance of exploration

Participate in specific mathematical activities independently or in cooperation with others, understand or ask questions, seek ideas for solving problems, discover the characteristics of objects and their differences and connections with related objects, and gain a certain rational understanding.

20, the overall goal of problem solving requirements.

1, initially learn to find and ask questions from the perspective of mathematics, comprehensively use mathematical knowledge to solve simple practical problems, enhance application awareness and improve practical ability.

2. Get some basic methods to analyze and solve problems, experience the diversity of problem-solving methods, and cultivate innovative consciousness.

3. Learn to cooperate and communicate with others.

4. Initially form the consciousness of evaluation and reflection.

2 1, the requirements of mathematical thinking in the overall goal.