The national mathematics examination paper comprehensively examines the core qualities such as mathematical abstraction, logical reasoning, mathematical modeling, intuitive imagination, mathematical operation and data analysis, which embodies the requirements of basic, comprehensive, applied and innovative examination, highlights rational thinking and plays an important role in talent selection.
This year's college entrance examination mathematics rolled up to the role of basic subjects, which is helpful to select innovative talents; Create natural and real situations to help test the application ability; Implement the "four wings" inspection requirements and help the "double reduction" policy to land.
The national volume of mathematics in college entrance examination gives full play to the role of basic subjects, highlights the examination of literacy and ability, identifies the quality of thinking, shows the thinking process, and builds a stage and space for candidates to show. The seventh question in the first volume of the new curriculum standard focuses on logical reasoning literacy, and takes arithmetic progression as the material to investigate the derivation of necessary and sufficient conditions.
Candidates are required 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. The first volume of the new curriculum standard 17 questions, with the sine theorem, the basic relationship between trigonometric functions and the same angle, solving triangles and other mathematical contents to examine the mathematical operation literacy.
In the process of making situational test questions, we should pay attention to controlling the number of words and the difficulty of reading comprehension of cutting materials. In the aspect of abstract mathematical problems, set reasonable thinking intensity and abstract degree; When solving the problem, by setting the appropriate operation process and quantity.
Strive to make the situational test questions meet the test requirements and the cognitive level of candidates. For example, the first volume of the new curriculum standard 10, uses logarithmic function to study the sound pressure level of noise, and comprehensively examines the basic knowledge of logarithm and its operation through the study of sound pressure level.
Great efforts have been made in anti-routine and anti-mechanical brushing in the national examination paper of mathematics in college entrance examination, which emphasizes the in-depth understanding and flexible mastery of basic knowledge and concepts, pays attention to the comprehensive application ability of subject knowledge, and implements the requirements of "four wings" examination in the evaluation system of college entrance examination in China.
At the same time, reasonably control the difficulty of test questions, scientifically guide middle school teaching, strive to promote the effective connection between high school teaching and compulsory education, promote the connection between examination and teaching, guide students to improve their learning efficiency in school, and avoid mechanical ineffective learning.
For example, the ninth question in the first volume of the new curriculum standard examines the basic numerical characteristics of the samples in statistical sampling, and examines the candidates' understanding and mastery of the concepts of average, standard deviation, median and extreme difference of the samples, which not only pays attention to the basis of the test questions, but also organically combines the examination of basic knowledge with the examination of ability.