First, the consistency of teaching evaluation should be implemented based on curriculum standards and disciplines.
In strict accordance with the curriculum standards, the examination paper focuses on the important basic knowledge and skills in junior high school. Related topics examined the operation of opposites and powers, the significance of statistics, the solution of equations and inequalities, functions, triangles, quadrangles, circles and other geometric figures, covering all the main knowledge blocks of junior high school mathematics.
Pay attention to the examination of basic mathematical thinking methods, mainly involving equations, functions, combination of numbers and shapes, classified discussion, letters representing numbers, decomposition and combination, undetermined coefficient method, elimination method and other basic mathematical thinking methods.
The test paper is close to the textbook. Such as the expression of some geometric problems, guide students to think about the position of points, the shape and size of figures in the process of intuitive imagination, and understand the connotation and function of conditions in the process of drawing; The operation of numbers and formulas in solving problems, the solution of inequality groups, application problems and geometric proof problems are all adapted from textbooks and supporting workbooks.
Second, based on learning experience, reflect on the thinking process and attach importance to mathematical understanding.
The examination paper pays attention to the understanding that students gain in the process of learning. For example, according to students' experience in learning graphics rotation, rotating symmetric graphics and regular polygons, the test paper designs the problem that regular polygons overlap with the original graphics after rotating around their centers. The combination of dynamic and static is quite aesthetic, which not only examines the concept of space, but also examines the understanding of the essence of the problem. Another example is the examination of function synthesis, which pays attention to students' understanding of parabola changing trend. Students need to use the research experience of quadratic function images and properties to experience the inquiry process again.
The expression of the test questions is popular, concise, clear and definite, with appropriate charts. The presentation of conditions and the design of problems strive to guide and show students' thinking process, so as to better help students find the way to solve problems.
The test questions also pay attention to students' understanding of the essence of mathematics. For example, a question to understand the new concept of "isosceles circle" is designed in the test paper, which requires students to form a spatial structure through intuitive imagination, and then rationally analyze the internal relationship between the positional relationship and the quantitative relationship of graphics, so as to test students' reading comprehension and spatial imagination ability. Another example is the comprehensive problem based on parallelogram, which studies the influence of different additional conditions on a basic figure, involving isosceles triangle, diamond, circle and other related mathematical knowledge points, and comprehensively uses the existing thinking strategies to solve the problem, which is exploratory and comprehensive to some extent.
Third, based on problem solving, linking with real life, highlighting core literacy.
The test questions pay full attention to the reality of life and appropriately increase the application background. For example, in the background of shopping on the platform and investigating students' weekly housework time, test questions are designed to examine students' understanding of statistical significance and basic statistics; This paper puts forward meaningful mathematical problems from the actual situation of participating in public welfare activities, increasing the amount of foreign capital used in development zones, and calculating the garden area of a residential area, and examines students' ability to solve practical problems by using mathematical knowledge.
Through the problem background close to students' real life and easy to understand, students are guided to observe the real world from a mathematical perspective and express the real world in mathematical language. In the process of using mathematical knowledge to solve practical problems, the application value of mathematics is realized and the quality of mathematics discipline is highlighted.
The test paper also incorporates elements of mathematical culture. For example, combining the problem of measuring height with goniometer in teaching materials with the method of measuring height recorded in Zhao Shuang's Sunrise Height Map, presenting test questions in the form of solving problems, while examining the application of knowledge, increasing students' understanding of China's ancient mathematical achievements, enhancing cultural self-confidence while inheriting China's excellent culture, and embodying the educational value of mathematics.