20 15 Hainan college entrance examination mathematics ended, and many students reported that the difficulty was above average. How do professional math teachers evaluate this college entrance examination question? Nanhai Net reporter interviewed Li Hongqing, a special-grade teacher in hainan overseas chinese middle school, a full-time senior teacher, an outstanding expert in the province, Shi Lihong, a math teacher in hainan overseas chinese middle school and a backbone teacher in the province, and asked them to make professional comments on the characteristics and difficulty of the math test paper.

The teacher made an overall evaluation of the mathematics test questions in the college entrance examination: following the requirements of the outline and explanation, paying attention to designing innovative test questions, examining students' mathematics literacy, paying attention to their abilities and ideas, highlighting candidates' five abilities and two kinds of consciousness, and paying attention to embodying the subject value and speculative value of mathematics. Compared with previous years, the structure and difficulty of the test questions remain stable and slightly decreased, showing good reliability, validity, appropriate flexibility and strong discrimination. Although it feels less difficult than in previous years, the topic design is novel, such as space geometry; The proposition does not lag behind the routine. For example, liberal arts 17 still examines triangles, but does not examine series.

Teachers think that the liberal arts and science questions in this math exam are more innovative, and there are four main characteristics to examine students' ability and logical thinking:

First, pay attention to designing innovative questions and examine students' mathematical literacy.

Choosing reasonable mathematics test materials and designing innovative scenarios can flexibly and comprehensively examine basic knowledge, which fully embodies the comprehensiveness, comprehensiveness and foundation of examining basic content. For example, the topic of liberal arts 1 1 aims to examine the cosine theorem, and the topic of liberal arts 19 examines the spatial imagination of candidates and the application of the inverse theorem of Pythagorean theorem; There is also a science topic 17, which examines the theorem that the design unknown is proportional to the bisector of the inner angle. The problem itself is not difficult, but students will be afraid if they don't think of it. The liberal arts topic 12 examines the tangents of two curves.

Second, highlight the logical thinking examination with ability and concept as the main axis.

20 15 mathematics test questions adhere to the multi-angle and multi-level examination of students' thinking ability, computing ability, spatial imagination ability, practical ability, chart data processing ability, innovation consciousness and application consciousness, with special emphasis on redefining the connotations of "five abilities" and "two consciousnesses".

Mathematics is not only an instrumental basic subject, but also a thinking science. Logical thinking ability is the core of mathematical ability, and a certain amount of thinking examines the thinking ability of candidates. The examination questions reflect the difference of thinking intensity in arts and sciences. For example, in the topic of 2 1 on studying the properties of functions by using derivatives, the liberal arts focuses on comparing, analyzing, synthesizing, abstracting and generalizing the known conditions and finding the range of parameters under given conditions. Science test questions focus more on reasoning through deduction, induction and analogy, while proposition design focuses on abstract thinking and logical thinking.

Third, pay attention to the application of two dimensions to embody instrumental application.

There are two dimensions of mathematics application consciousness: one is practical application, and attention should be paid to multiple-choice questions and analytical questions, such as 18 questions in liberal arts and 18 questions in science; Second, the internal application of mathematical knowledge, such as the second1question in arts and sciences, is to study the properties of functions by using derivatives, and the second question in science 19 is to solve the positional relationship between straight lines and planes in space by using vector knowledge. Mathematics comes from life practice and is also a powerful tool to solve practical problems. Practical application ability is a mathematical literacy that candidates must have. This year's science 18 questions choose two sets of data as practical application questions, which embodies the instrumental and applied nature of mathematics and the characteristics of strengthening the application of college entrance examination reform. These problems are grounded, close to reality, full of life atmosphere of mathematics, and have an atmosphere of mathematics application in life.

Fourth, highlight the key points and pay full attention to mathematical thinking methods.

Mathematics test sites cover a comprehensive range, taking into account the comprehensive examination of high school basic knowledge and skills, especially the examination of teaching materials, such as program block diagram, examining the case reduction techniques in teaching materials, and highlighting the key test sites. In this year's examination syllabus, the reference to "mathematical methods" was added, and the reference to "enhancing application and ability" was deleted, but there were no questions to enhance application and ability. In the background of analytic geometry, the ability to analyze and solve problems is investigated. The topic 2 1 examines the idea of classified discussion and integration, and the topic science 10 examines the idea of combining numbers and shapes.