Mathematics curriculum in senior high school plays a fundamental role in understanding the relationship between mathematics and nature, between mathematics and human society, and its scientific and cultural value, improving the ability to ask, analyze and solve problems, forming rational thinking, and developing intelligence and innovative consciousness.
Mathematics curriculum in senior high school helps students to understand the application value of mathematics, enhance their application consciousness and form their ability to solve simple practical problems.
Mathematics curriculum in senior high school is the basis of studying physics, chemistry, technology and continuing education in senior high school. At the same time, laying a foundation for students' lifelong development and forming a scientific world outlook and values are of great significance to improving the quality of the whole nation.
Curriculum idea
1. Build a * * * foundation and provide a development platform.
High school education belongs to basic education. High school mathematics curriculum should be basic, which includes two meanings: first, after the compulsory education stage, provide students with a higher level of mathematics foundation to adapt to modern life and future development, so that they can obtain higher mathematics literacy; Second, provide students with the necessary math preparation for further study. Senior high school mathematics curriculum consists of compulsory series courses and elective series courses, and the compulsory series courses are designed to meet the mathematics needs of all students. Taking a series of courses is to meet students' different needs for mathematics, and it is also a basic mathematics course for students' development.
2. Provide a variety of courses to suit personal choice.
High school mathematics curriculum should be diversified and selective, so that different students can get different development in mathematics.
Senior high school mathematics curriculum should provide students with space for choice and development, provide students with multi-level and diversified choices, and promote students' personality development and thinking about future life planning. Students can make their own choices under the guidance of teachers and make appropriate changes and adjustments when necessary. At the same time, high school mathematics curriculum should also leave some choice space for schools and teachers. They can make curriculum development plans according to students' basic needs and their own conditions, and constantly enrich and improve courses for students to choose from.
3. Advocate proactive and exploratory learning methods.
Students' mathematics learning activities should not be limited to acceptance, recitation, imitation and practice. High school mathematics curriculum should also advocate independent exploration, hands-on practice, cooperation and exchange, reading and self-study to learn mathematics. These methods are helpful to give full play to students' learning initiative and make their learning process a "re-creation" process under the guidance of teachers. At the same time, setting up learning activities such as "mathematical inquiry" and "mathematical modeling" in senior high school mathematics curriculum will further create favorable conditions for students to form active and diverse learning styles, thus stimulating students' interest in learning mathematics and encouraging students to form the habit of independent thinking and active exploration in the learning process. High school mathematics curriculum should strive to let students experience the process of mathematics discovery and creation through various forms of independent learning and inquiry activities, and develop their innovative consciousness.
4. Pay attention to improving students' mathematical thinking ability.
High school mathematics curriculum should focus on improving students' mathematical thinking ability, which is one of the basic goals of mathematics education. In the process of learning mathematics and solving problems by using mathematics, people are constantly experiencing intuitive perception, observation and discovery, inductive analogy, spatial imagination, abstract generalization, symbolic representation, operational solution, data processing, deductive proof, reflective construction and other thinking processes. These processes are the concrete embodiment of mathematical thinking ability, which helps students to think and judge the mathematical model contained in objective things. Mathematical thinking ability plays a unique role in the formation of rational thinking.
5. Cultivate students' awareness of mathematics application.
Since the second half of the 20th century, the great development of mathematics application is one of the remarkable characteristics of mathematics development. In today's era of knowledge economy, mathematics is moving from behind the scenes to the front. The combination of mathematics and computer technology enables mathematics to directly create value for society in many aspects, and also opens up broad prospects for the development of mathematics. For a long time, China's mathematics education has failed to pay enough attention to the relationship between mathematics and practice and between mathematics and other disciplines. Therefore, high school mathematics needs to be strengthened in the application of mathematics and the connection with practice. In recent years, the practice of mathematical modeling in universities and middle schools in China shows that the teaching activities of mathematical application meet the needs of society, which is conducive to stimulating students' interest in learning mathematics, enhancing students' awareness of application and broadening their horizons.
High school mathematics curriculum should provide the actual background of the basic content, reflect the application value of mathematics, carry out the learning activities of "mathematical modeling" and offer special courses reflecting some important applications of mathematics. Mathematics curriculum in senior high school should make students experience the role of mathematics in solving practical problems, the connection between mathematics and daily life and other disciplines, and promote students to gradually form and develop their awareness of mathematics application and improve their practical ability.
6. Understanding "Double Bases" with the Times
Mathematics teaching in China has a tradition of attaching importance to basic knowledge teaching, basic skill training and ability training, and high school mathematics curriculum in the new century should carry forward this tradition. At the same time, with the development of the times, especially the wide application of mathematics, the development of computer technology and modern information technology, the curriculum and implementation of mathematics should re-examine the connotation of basic knowledge, basic skills and abilities, and form a new "double base" that meets the requirements of the times. For example, in order to meet the needs of the development of the information age, high school mathematics curriculum should increase the content of algorithms, and take the most basic data processing and statistical knowledge as new basic mathematics knowledge and skills; At the same time, reduce tedious calculations, artificial technical problems, and overemphasize details to overcome the tendency of "double-base alienation".
7. Emphasis on essence and proper formalization.
Formalization is one of the basic characteristics of mathematics. In mathematics teaching, learning formal expression is the basic requirement, but it should not be limited to formal expression, but should emphasize the understanding of the essence of mathematics, otherwise lively mathematical thinking activities will be submerged in the ocean of forms. The modern development of mathematics also shows that the whole formalization is impossible.