Differences between Arts and Sciences in Mathematics Test Paper of College Entrance Examination
Will liberal arts students suffer? A math teacher in a district of Shanghai gave a negative answer. He analyzed that there are 18 chapters in the textbook of the second-phase curriculum reform of senior high school mathematics in Shanghai, and five topics belong to arts and sciences. "Students basically went to school in the first to third grades last semester. Especially in the first and second year of high school, mathematics can be said to be regardless of arts and sciences. Students have basically mastered the necessary mathematical literacy in these two years. "
So, what's the difference between the college entrance examination mathematics liberal arts papers? The researcher explained that the difference between the liberal arts volume and the liberal arts volume is first reflected in the bifurcated part, such as the three views of liberal arts students, which are not used by science students. Science students want to learn polar coordinates and parametric equations, but liberal arts students are not required. The second difference is that for the public part, the requirements for the thinking level of liberal arts students are different. In this teacher's view, there are three levels of thinking: memory level, understanding level and inquiry level. If the new curriculum standard is introduced, the difficulty of mathematics examination is located in the level of memory and understanding, and the burden of liberal arts students will not increase.
The math difficulty of liberal arts and sciences in the college entrance examination is different.
The difficulty of liberal arts mathematics is very different even if it is aimed at the same inspection point. For basic topics, liberal arts, science and mathematics are basically the same. The main difference lies in some high-end topics.
The known conditions of liberal arts topics are often more direct than those of science topics, so it is easy to answer. In addition, science also has some knowledge points that liberal arts do not have, but this is less. Moreover, the mathematics requirements of science are higher, and some knowledge learned is deeper than that of liberal arts. Therefore, from the difficulty point of view, college entrance examination science mathematics is more difficult than college entrance examination liberal arts mathematics.
Is math in liberal arts and science much worse?
Liberal arts function part: the geometric meaning of definite integral, derivative and derivative of composite function is not tested; The number of functions cannot exceed three; Solid geometry part: space vector sum vector method is not tested; Angle only requires a straight line and a plane, not a straight line and a dihedral angle; Conic curve part: straight line, conic curve and curve equation are not tested; Zhejiang liberal arts examines the probability part of the relationship between straight line and parabola: counting principle, binomial, discrete type, normal distribution and geometric probability; Mathematical induction is not tested;
(1) Science: Understand the concepts of angles formed by two straight lines on different planes, angles formed by straight lines and planes, dihedral angles, etc. Liberal Arts: Understand the concepts of angles and dihedral angles formed by two straight lines in different planes, and understand and find the angles formed by straight lines and planes.
(2) Science: Coordinate method can be used to solve the positional relationship of simple lines, ellipses and parabolas. Liberal Arts: Coordinate method can be used to solve problems such as the positional relationship between simple straight lines and parabolas.
(3) Science: Understand the corresponding relationship between the curve of the equation and the equation of the curve. Liberal arts: none
(4) Science: space vector and solid geometry (block) Liberal arts: none.
(5) Science: the concept of derivative and its geometric significance 1. Understand the practical background of the concept of derivative. 2. Understand the geometric meaning of derivative. Liberal arts: none
(6) Science: liberal arts without special tips: 1. Understand the relationship between monotonicity and derivative of function; Can use derivative to study monotonicity of function, and can find monotone interval of function (polynomial function is not more than three times). 2. Understand the necessary and sufficient conditions for the function to obtain the extreme value at a certain point; Will use derivatives to find the maximum and minimum values of the function (polynomial function does not exceed three times); Will find the maximum and minimum value of the function in the closed interval (polynomial function is not more than three times).
(7) Science: Mathematical induction: Understand the principle of mathematical induction, and use mathematical induction to prove some simple mathematical propositions. Liberal arts: none
(8) Science: counting principle. Liberal arts: block diagram
(9) Science: Can find the derivative of simple compound function (limited to f(ax+b)). Liberal arts: none