First, the new concept of high school mathematics curriculum standards
1. The most prominent feature of the high school mathematics curriculum standard is its foundation, diversity and selectivity.
2. Another remarkable feature of the curriculum standard is that it emphasizes that students should learn mathematics through the process of knowledge development, closely link with reality, keep pace with the times, lay a solid foundation and comprehensively improve their mathematical literacy.
3. The new curriculum standard always regards improving students' thinking ability as one of the basic goals of mathematics education, and puts forward that we should pay attention to embodying the humanistic value of mathematics in mathematics education.
Second, changes in teaching objectives
(1) enable students to learn the basic skills of algebra, geometry, probability and statistics, calculus and mathematical thinking methods necessary for socialist modernization and further study.
(2) In the process of mathematics teaching, we should pay attention to cultivating students' ability to ask, analyze and solve problems in mathematics, develop students' innovative and applied consciousness, improve students' mathematical inquiry ability, mathematical modeling ability and mathematical communication ability, and further develop students' mathematical practice ability.
(3) Efforts should be made to cultivate students' mathematical thinking ability, including: spatial imagination, intuitive guess, inductive abstraction, symbolic representation, operational solution, deductive proof, system construction and many other aspects, so as to be able to think and judge the quantitative relationship and mathematical model in objective things.
(4) Stimulate students' interest in learning mathematics, so that students can establish confidence in learning mathematics well, form a scientific attitude of seeking truth from facts and persistent research spirit, and understand the scientific value and humanistic value of mathematics, thus further establishing a dialectical materialist world outlook.
The general goal of "Mathematics Curriculum Standard for Senior High School" is to enable students to further improve their mathematics literacy as future citizens on the basis of nine-year compulsory education mathematics curriculum, so as to meet the needs of personal development and social progress. The specific objectives are as follows.
1, acquire the necessary basic knowledge and skills of mathematics, understand the essence of basic mathematical concepts and conclusions, understand the background and application of concepts and conclusions, and understand the mathematical ideas and methods contained in them, as well as their role in subsequent learning. Experience the process of mathematical discovery and creation through different forms of autonomous learning and inquiry activities.
2. Improve the basic abilities of spatial imagination, abstract generalization, reasoning and argumentation, operational solution and data processing.
3. Improve the ability to raise, analyze and solve problems (including simple practical problems) with mathematics, express and communicate with mathematics, and develop the ability to acquire mathematical knowledge independently.
4. Cultivate the consciousness of mathematical application and innovation, and try to think and judge some mathematical models contained in the real world.
5, improve the interest in learning mathematics, establish confidence in learning mathematics well, and form a persistent research spirit and scientific attitude.
6. Have a certain mathematical vision, gradually understand the scientific value, application value and cultural value of mathematics, form critical thinking habits, advocate the rational spirit of mathematics, and appreciate the aesthetic significance of mathematics, thus further establishing dialectical materialism and historical materialism world outlook.
Third, the new changes in the course content
From the course content, the structural design of the new curriculum standard is spiraling, and it is easier and more natural for students to accept new knowledge than before. The content requirements have been greatly adjusted, which is more suitable for students' cognitive structure and cognitive law and is conducive to students' learning step by step; The difficulty of the content has also been adjusted accordingly, which can better reflect our personalized teaching for different students and is conducive to students' own development. In fact, the most important thing is that the design structure of course content has changed greatly. The first striking change is selectivity. On the basis of the original compulsory courses and elective courses, the teaching materials have increased greater selectivity, which is reflected in the new curriculum consisting of five compulsory modules and four elective series, so that students at different levels have more choices; Let students with different goals have more room for improvement;
1. The arrangement of teaching content does not follow the logic or hierarchy of the subject system, but is planned according to the learning theme or topic.
2. The presentation of teaching content is not a list of knowledge points, but a subdivision and content of ability objectives.
3. The standardization of teaching content is not the display of standard answers, but specific suggestions for teaching related content to guide teaching points and methods.
4. New contents and further strengthened contents in the standard.
First, add the content of the algorithm to the required course. Algorithm is the basis of computer theory and technology. When people usually deal with scientific and social problems, the idea of algorithm will also be of great help to people's thinking. ? The idea of algorithm is a mathematical literacy that modern people should have.
The standard pays more attention to statistical content. Statistics plays an increasingly important role in today's social production and life. The most important thing to learn statistics is to experience its ideas and methods through examples. Statistics is to infer the nature of all data through some data. Students should also be aware of the difference between statistical thinking and deterministic thinking. ? The content of vector is strengthened in the standard. Understand the meaning of vector and its operation. Can use vector language and methods to express and solve problems in mathematics and physics. We can prove the positional relationship between the center line and the plane in space by vector method.
Fourthly, the concept of curriculum has also changed greatly.
The first important change is to put students in the main position. More emphasis is placed on students as the main body and teachers as the leading factor, so that students can do it themselves, use their brains, discuss and explore, and finally achieve the goal of learning new knowledge. This change, to a great extent, also reflects the new curriculum standards of mathematics advancing with the times, and also reflects Scientific Outlook on Development's people-oriented thought. So I think this change is very good, but teachers need to understand and improve it in the specific implementation process. We can't just engage in form, and finally forget the goal of cultivating students' ability and letting them learn new knowledge. This is not good and should not be avoided. The second change is to target our learning process. This new change made me feel a little difficult to understand at first, but after listening to the explanation and studying the curriculum standards, some realized that when we do a good job, we will definitely achieve the ultimate goal. Because students' learning is a process of self-exploration, no one can replace their thinking. Only by experiencing and discussing more in this process can students' learning goals be realized. Third, the new curriculum emphasizes the cultivation of students' innovative consciousness.