Reflections on Mathematics Proposition of College Entrance Examination in Zhejiang Province on 20 15

(Mathematics Discipline Group)

The 20 15 college entrance examination is the first time for the first-year students of ordinary senior high schools in Zhejiang province to deepen the curriculum reform, and the scope and requirements of the examination have changed to some extent. Math test papers follow the "test instructions" and do not exceed the outline; In accordance with the "Teaching Guidance Opinions", do not deviate; Close to the reality of high school mathematics teaching, not out of touch.

The examination paper continues the consistent style of concise narration and clear expression, and the difficulty is stable, showing the characteristics of stability, change and novelty.

1. Consolidate the examination foundation and innovate the examination.

Although the examination scope of 20 15 college entrance examination has changed, the examination paper still slowly examines the main knowledge of high school mathematics, paying attention to both new knowledge points and typical problems and traditional methods. The fourth question of science examines new knowledge points and requires students to have a clear understanding of the proposition; The eighth question of science takes the common graphic folding as the background to examine the spatial imagination ability.

2. Stability requirements, angle conversion

While implementing the basic knowledge and skills, the examination paper pays attention to the examination of mathematical thinking and essence. The sixth question of science is a study question, which is based on the textbook and clearly asked, and is now used in learning; The 20th question of science is based on the common quadratic function and simple recursion, with novel angle and flexible thinking. The science topic 15 embodies the essence of minimum value through the platform of space vector and inequality relationship. The structural characteristics of the problem can give students space to think from multiple angles.

3. Stabilize the differences between arts and sciences and gradually adjust them.

The examination paper pays attention to the learning differences of liberal arts students. Only one question in the liberal arts volume is the same, and five questions in the liberal arts volume are adapted from science questions. The eighth question of liberal arts was adapted from the seventh question of science, and the problem changed from abstract to concrete, which reduced the amount and difficulty of thinking. Science topic 14 changed the data into liberal arts topic 14, which avoided classified discussion and simplified the problem; The sixth question of liberal arts is a practical problem in life, which embodies the application of mathematics. This change shows the different requirements of liberal arts.

4. Stabilize the test paper framework and gradually change the form.

The overall structure of the test paper is stable, giving full play to the different functions of the three types of questions. Multiple choice questions attach importance to the essence of concepts and require accurate judgment. Fill-in-the-blank questions pay attention to calculation methods and require correct conclusions. The emergence of multiple empty questions better disperses the difficulty and allows students to score step by step. The solution takes multi-angle and all-round thinking as the starting point, and shows the process of computational reasoning. The examination paper has been reduced from 22 questions to 20 questions, and the reduction of the total number of questions provides students with more time to think.

The examination paper emphasizes foundation, excellent thinking, total reduction and structural adjustment. Mining new questions from basic functions, common figures, simple recursion and familiar symbols. It strengthens the essence and emphasizes the profundity of thinking; It pays attention to the flexibility of methods and thinking. It guides correctly, makes mathematics study pay attention to essence, and classroom teaching returns to students.

20 15 Comments on Mathematics Examination Questions in Zhejiang College Entrance Examination

Adjust the structure of test paper and highlight the ability

Yu Jinlong, a special teacher in Shaoxing No.1 Middle School.

Zhang Jinliang, a special teacher in Zhejiang Teaching and Research Section.

This year's college entrance examination mathematics paper continues the style of proposition in Zhejiang Province for many years, and maintains the characteristics of "low starting point, wide entrance, multi-level and easy distinction". The types and backgrounds of test questions are familiar and common, and the overall feeling is that the test questions are flexible and have high thinking content, which can fully examine students' mathematical literacy, thinking quality and learning potential, and have good distinguishing and selecting functions. The examination paper mainly embodies the following characteristics:

1. Investigate double bases and pay attention to coverage.

The examination paper comprehensively examines the basic knowledge and skills of high school mathematics, focuses on the main knowledge in high school mathematics textbooks, and accurately grasps the teaching focus of high school mathematics. The test questions cover the core knowledge of high school mathematics, involving the concept of function, monotonicity, periodicity, maximum and minimum, trigonometric function, sequence, solid geometry, analytic geometry and other professional knowledge. It is also necessary to make a comprehensive and profound investigation on existential quantifiers, even those that are easily overlooked.

2. Pay attention to thinking and highlight ability

This year's test questions seem familiar and dull, but focusing on mathematical thinking methods and literacy has improved the level and taste of the test questions and increased the pace of ability examination. Many test questions remain clean, concise, simple and clear, which fully embodies the formalization of mathematical language and the significance of mathematics, and puts forward higher requirements for candidates' ability to read, understand, transform and express mathematical language. For example, 7,8 for science, 14, 15,18,20 for liberal arts, 8,0/kloc-5,20 (2) and so on. , with a high degree of mathematical formalization, which requires candidates not only to have strong mathematical reading and examination ability, but also to have flexible and witty problem-solving strategies and analysis to solve problems.

3. Hierarchical examination, different arts and sciences

The examination questions are clear, from shallow to deep. All kinds of problems have a low starting point, but they are high. It doesn't take much time to fill in the blanks, and the last few questions need to be mastered flexibly on the basis of fully understanding the mathematical concepts. There are 10 small questions in the five questions, which still has the proposition characteristics of "asking more questions and checking more" in previous years. The examination paper pays attention to the differences in mathematics learning of liberal arts candidates. Science has outstanding characteristics, paying attention to examining rational thinking and abstract generalization ability, while liberal arts pays attention to examining image thinking and quantitative processing ability. There are only 1 questions in the same subject in the whole volume, and there are only two sister questions. Compared with science, liberal arts has been appropriately deleted in many aspects.

4. seek change in stability and persist in innovation

Innovation is the characteristic of the times. On the basis of the same three types of questions, the test paper has made innovations in structure and propositional techniques, changed the unchangeable pattern in the past, reduced two multiple-choice questions, enriched the forms of fill-in-the-blank questions and appeared multiple questions. In terms of proposition skills, a number of new questions with far-reaching influence, rich background and concise expression are compiled by means of transformation, transplantation and grafting. For example, the eighth question of science seems simple, but it is worth remembering; Science topic 15 is novel, with profound background, simple process and unconventional; The problem of 18 in science is refreshing by implanting new problems into the classical quadratic function. The science finale is concise, flexible and unique, which requires candidates to calmly analyze and solve problems; The eighth question of liberal arts makes a fuss about the definition of ellipse and the geometric properties of plane, and makes a new move to show the charm of mathematics.

Looking at the whole paper as a whole, the test paper conveys a message: candidates blindly ask questions about the sea, no matter how many questions they do, they can't get ideal results. Mathematics teaching in senior high school should make students feel the importance of basic knowledge and skills, and guide students to learn to do problems on the basis of "seeing, doing, thinking and researching".