In 2022, the first volume of national mathematics in the new college entrance examination actively implemented the basic task of moral education and the requirements of deepening the overall plan of educational evaluation reform in the new era. The examination paper highlights the characteristics of mathematics, reflects the requirements of curriculum standards and examination scope, pays attention to the combination with teaching and real life, pays attention to the comprehensiveness of examination content, highlights the backbone and key contents, and strengthens the examination of basic and key abilities, which is helpful to guide middle school teaching and teaching according to standards and give full play to the role of mathematics in college entrance examination. The main highlights are:
1. The background materials of the test questions are closely related to the social and economic development of the country and the actual production and life. For example, in the fourth question, taking "South-to-North Water Diversion", a major construction achievement in China, as the material, combined with the examination of candidates' spatial imagination ability, mathematical reading comprehension ability and operation solving ability, corresponding requirements are put forward for mathematical core literacy such as mathematical abstraction and mathematical modeling, so as to guide candidates to pay attention to the great achievements of socialist construction and increase their sense of social responsibility.
2. Adhere to open innovation and emphasize ability and concept. For example, 19 solid geometry questions focus on volume and area, and examine geometric knowledge such as line-line relationship, line-surface relationship, point-surface relationship, etc. Candidates are required to proceed from the whole, comprehensively use the basic knowledge they have learned to solve problems, and pay attention to ability and conception, which is conducive to guiding and reducing mechanical brushing questions.
3. Test questions guide students to deeply understand the main knowledge, understand the essence of mathematics and improve their core literacy. For example, the question 12 requires students to understand the concepts of parity, symmetry and derivative of functions and their relationships under the background of abstract functions. It requires high core literacy such as mathematical abstraction, intuitive imagination and logical reasoning. The answer to the question 14 is no, and the open question contains rich mathematical thinking, which provides multi-level thinking space for candidates of different levels and has a good choice function in examining the flexibility and profundity of thinking.
4. Strengthen the assessment of key abilities. Attach importance to the examination of mathematics core literacy. In addition to examining the six core qualities of mathematical abstraction, logical reasoning, intuitive imagination, mathematical operation, data analysis and mathematical modeling, students are required to have certain inquiry ability and innovative spirit, and have good mathematical literacy and excellent thinking quality when facing comprehensive problems and novel and complicated situations. For example, question 22 examines the classification discussion and function thought, and solves the problem of transcending the hidden zero point of the equation by constructing special functions, which embodies the general and special transformation thought of mathematics.
5. Take real production and life as an example, and pay attention to the application of mathematics. How to use the learned mathematical knowledge to solve the problems existing in real production and life has always been an examination requirement of mathematics. In today's era of big data, sorting out data, analyzing data and making decisions and judgments are the general direction of mathematics application. For example, in question 20, based on the independence test and conditional probability, the application question of probability and statistics is designed to examine candidates' understanding and application of independence test, conditional probability and data processing, and to guide candidates to establish a correct outlook on life and values and attach importance to mathematical experiments and applications.
The new college entrance examination in 2022, Mathematics I, pays attention to the essence of mathematics, emphasizes the value of rational thinking, attaches importance to the foundation of mathematics, highlights the examination of key abilities, guides students to have a deeper understanding of mathematical concepts and methods, and conducts a comprehensive and in-depth examination from the aspects of foundation, synthesis, application and innovation. The reform of examination paper is progressing steadily, and the difficulty design is scientific, which gives full play to the function of selecting mathematical subjects in the college entrance examination and will play a positive role in guiding and promoting the reform of mathematics in middle schools.