(1) nature
When it comes to the status and nature of mathematics curriculum, we must understand the essence of mathematics. Mathematics is a process in which people qualitatively grasp and quantitatively describe the objective world, gradually abstract and generalize, form methods and theories, and widely apply them.
Mathematics curriculum in compulsory education stage should not only consider the characteristics of abstraction, accuracy and extremely extensive application of mathematics itself, but also follow the psychological law of students learning mathematics, emphasizing the process of abstracting practical problems into mathematical models and explaining and applying them from their existing life experiences. It provides the connection between mathematics and the real world, allows students to participate in social practice and apply mathematics to solve practical problems, and has gone through a process of "mathematical modeling". This not only requires students to have the ability to transform into mathematical problems, choose and create certain mathematical methods, but also requires students to have the group consciousness of cooperative learning. When mathematics is used to serve reality, students are required not only to be confined to a subject of mathematics, but also to have various knowledge and be able to explain and communicate. Mathematics curriculum emphasizes the process of students' experience in mathematics activities, so that students can gain an understanding of mathematics, develop their thinking ability, emotional attitude and values, and truly play the educational function of mathematics curriculum.
(2) Status
Since the middle of the 20th century, great changes have taken place in mathematics itself, especially in the combination with computers, which has made mathematics expand in research fields, research methods and application scope. Mathematics can help people better explore the laws of the objective world, make appropriate choices and judgments on a large number of complex information in modern society, and also provide an effective and simple means for people to exchange information. Mathematics is an indispensable tool for people's life, work and study, which can help people to process data, calculate, reason and prove. Mathematical models can effectively describe natural and social phenomena. Mathematics provides language, ideas and methods for other sciences, and is the foundation of all major technological developments; Mathematics plays a unique role in improving people's reasoning ability, abstract ability, imagination and creativity. Mathematics is a kind of human culture, and its content, thought, method and language are important components of modern civilization.
According to statistics, the number of people engaged in information industry in developed countries accounts for about 50% of the employed population. According to this calculation, by the middle of 2 1 century, China will rank among the world powers, and hundreds of millions of people will be engaged in the fourth industry. Most occupations require people to have higher mathematical literacy such as statistical analysis and data processing. In market economy activities, mathematics related to economic activities, such as trading, deposit and insurance, stocks and securities, such as ratio and proportion, interest and interest rate, statistics and probability, operation and optimization, system analysis and decision-making. , has become a necessary mathematical knowledge for everyone.
Mathematical language is also life, or life needs mathematical language more and more. Mathematical language is a universal language in the world, and it is entering people's daily life with its characteristics of accuracy, conciseness and abstraction: the rainfall probability of weather forecast is transmitted to thousands of households through TV, and the proportion and percentage of various statistical charts frequently appear in different fields such as newspaper production, transportation and stock market, but the same mathematical means are used.