Research Into The Examining Methods Of Function And Derivative Of Senior High School Mathematics Under The Circumstances Of New Curriculum

The main part which sustains mathematics knowledge system makes up a large proportion of mathematics papers in College Entrance Examination. Research into its examining methods is of great significance to the study of setting papers.The writer mainly discusses the examining methods of function and derivative.This paper is divided into two parts:The first part discusses the paper setting theory based on the reference documents. First it talks about the four principles of paper setting, then its contents and procedures of "ability conception". The examining problems contain knowledge, methods and abilities. And conception, settings determining and problem setting-up are included in the procedures. Last it refers to the function analysis of different types of problems and their setting-up skills.The second part is the focus of the paper. It uses content analysis through real example practice as its research methods after the study of previous years problems on function and derivative modules in College Entrance Examination. At the beginning, it demonstates that the examining problems uses different kinds of functions as the carrier to examine students' abilities, including quadratic-function, cubic-function, sub-function and so on. Teachers can exchange carriers to serve the derivative teaching, which is good for cultivating students'abilities. Then it talks about a variety of ideas designed to examine students'abilities, such as problems on knowlege networks at the intersection, identically tenable problems, and the use of "the thinking and knowledge of advanced mathematics" to set up problems. While teaching, teachers should let students familiar with various models to improve the reviewing efficiency. Finally it talks about the importance of examining methods of general abilities, such as using a new definition setting of a problem to test students'learning ability, using applied problems to test students'practical abilities and using exploratory problems to explore students'exploration and innovation abilities. College Entrance Examination attaches great importance to examining students'general abilities and the unique role of mathematics in examining students'abilities and quality, which should draw attention of teachers and candidates.