In 2023, there were four sets of papers in the National Mathematics Volume of the College Entrance Examination, namely National Volume A, National Volume B, New Curriculum Standard I and New Curriculum Standard II, which were used in 28 provinces across the country. This year's college entrance examination proposition comprehensively examines the core literacy of mathematics and pays attention to the important role of mathematics in talent selection.
Proposition experts told reporters that the national mathematics volume of the college entrance examination comprehensively examines the core literacy such as mathematical abstraction, logical reasoning, mathematical modeling, intuitive imagination, mathematical operation and data analysis, which reflects the basic, comprehensive, applied and innovative examination requirements, highlights rational thinking and plays an important role in talent selection.
The National Mathematics Volume of College Entrance Examination gives full play to the role of the basic subject, highlights the examination of literacy and ability, discriminates the quality of thinking, shows the thinking process, provides a stage and space for candidates to display, and is committed to cultivating talents independently, improving their quality and serving the modernization of talent selection.
Pay attention to logical reasoning literacy. For example, in the seventh question of the first volume of the new curriculum standard, arithmetic progression is used as the material to investigate the derivation of the necessary and sufficient conditions, requiring candidates to judge the adequacy and necessity, and then prove them separately. The key to solve the problem is to use arithmetic progression's concept and characteristics to make reasoning and demonstration.
The essence of the second volume of the new curriculum standard 1 1 is to judge the relationship between the coefficients of the equation according to the properties of the roots of the quadratic equation with one variable. After the derivative of the function in the problem, the properties of its maximum and minimum can be transformed into a quadratic equation with two positive roots. Question 2 1 of National Science Volume B requires candidates to conduct classified reasoning discussion according to the nature of parameters to examine the order and rigor of thinking.
In-depth investigation of intuitive imagination literacy. For example, the national science question 15 in Volume A requires that the common points of the edges of a sphere and a cube be determined by imagination and simple calculation. On the basis of geometry, the topic of National Science Volume B 19 examines the relationship among space, line and surface.
The ninth question in the second volume of the new curriculum standard examines the content of the cone in the form of multiple-choice questions. The topic is the basis of comprehensive investigation, and the four options are asked step by step. The previous options provide conditions for the later options, and each option examines the different properties of the cone, which are interrelated and focused.