Steady, innovative, examining and thinking.

-Evaluation of math test questions

The mathematics examination paper of college entrance examination in Zhejiang Province has continued the propositional style of Zhejiang Province for many years, and maintained the distinctive characteristics of "low starting point, gentle slope, multi-level and easy to distinguish". The examination paper comprehensively examines basic knowledge and skills, while highlighting the examination of rational thinking. The test questions are familiar, simple and flexible, which fully examines students' mathematical literacy, thinking quality and learning potential, and embodies strong discrimination and selection functions.

one

Stand on the foundation and stick out your trunk.

The examination paper is based on foundation, emphasizing "double foundation", focusing on the main contents and core knowledge supporting the senior high school mathematics curriculum. Among them, solving problems still consists of trigonometric function, solid geometry, function, analytic geometry, sequence inequality and other main knowledge contents. While paying attention to double basics, the test questions also pay great attention to the examination of basic thinking methods.

two

A hierarchical review of art and science

This year is the last year of liberal arts examination, and the examination paper still fully considers the differences of liberal arts candidates in mathematics learning content, learning ability and learning transfer. According to statistics, there are three identical questions, four sister questions and 13 completely different questions in the liberal arts examination paper. Science questions focus on rational thinking and abstract generalization, while liberal arts questions focus on image thinking and quantitative processing. The arrangement of all kinds of test questions is from easy to deep, from easy to difficult, step by step, step by step, which fully embodies the idea of classified setting and graded examination.

three

The test questions are peaceful, steady and novel.

Looking at the whole volume of mathematics, the test questions give people a feeling of peace, simplicity and agility. The description of the test questions is simple and easy to understand, showing many new ideas. There are a number of new questions with familiar background, novel questions, rich connotations and diverse methods in the two volumes of arts and sciences, such as questions 5, 6, 8, 15, 18, 20 in science and questions 5, 6, 7, 19, 20 in liberal arts. Examining the range of function values, science 20 is concise and profound, which makes people feel "reasonable and unexpected" and reflects the originality of the proposer. These questions build a good platform for candidates to distinguish and highlight the function of selecting test papers.

four

Pay attention to thinking and highlight ability

While examining the examinee's basic knowledge and ability, the examination paper highlights the concept of "emphasizing thinking and showing ability". Most of the test questions have a wide entrance, and there are many ways to identify students' thinking, such as science 19 and 20, liberal arts 15 and 20. Admission is relatively easy, but students need strong thinking and problem-solving skills if they want to solve it smoothly or muddle through. Therefore, it is necessary to guide middle school mathematics classroom teaching to pay more attention to mathematical thinking and essence, and strive to improve students' mathematical core literacy.

five

Attach importance to ideological significance

There are more than 50 questions in two papers, big and small, and each question has rich connotations. Many problems involve the most commonly used mathematical thinking methods in mathematics, such as "function and equation, combination of numbers and shapes, proposition transformation and classified discussion", which are rich and profound in content. For example, solving the science 18 problem involves the above mathematical thinking method. Another example is the 20 th question of the liberal arts volume, which needs simple estimation and scaling ideas to solve.

Taking the whole paper as a whole, it once again conveys a message: the blind tactics of asking questions can no longer adapt to the current college entrance examination paper. High school mathematics teaching should return to textbooks, pay attention to the enlightenment of thinking, pay attention to the research of classroom teaching, overcome the phenomenon of "cramming and emphasizing training", and do enough homework in cultivating students' thinking ability and improving their core quality of mathematics. 1 2 ;