The Investigation Of Present Situation Of High School Calculus Knowledge To Understand

Calculus is thought is very rich, content is very much also, is the study of variable law of science, it has an important status in the middle school mathematics, not only is the theoretical foundation of the mathematical disciplines, as the basis for other natural discipline. Therefore, should be in the deep grasp high school calculus of infinitesimal calculus knowledge to understand under the premise of investigation and study, highly attach importance to the teaching of calculus. In this paper, from the change of calculus approach, to the basic requirement of new standard for calculus knowledge, then illustrates the different schools about understanding the definition, function, and the understanding of the mathematical theory of the development of the model, combining with the knowledge of calculus to understand the model made his own understanding of mathematical understanding. Then a simple introduction of the theory of solo classification evaluation, and according to the solo classification evaluation theory to the level of understanding of calculus.This article applies the method of test research, studied the knowledge of the situation of calculus. In this paper, from four modules in the investigation, four modules are respectively, One module : the understanding of the concepts of calculus and its related main test- understanding of calculus concepts and essence; Two module: the calculation of derivative understanding module- the main test basic functions, and the derivative of difference product providers, and the ability of composite function derivative. Three module : using derivative problem solving ability of the use of calculus ideas for problem solving ability. Four modules: the understanding of the definite integral, the main test to the nature of the definite integral and geometric meaning and calculation of definite integral. Aims to explore which level knowledge of calculus in high school students, and understanding to what extent, They still exist in the field of calculus knowledge of learning what this problem, And from teachers, students and calculus knowledge itself three aspects to analyze the characteristics of students learning calculus knowledge of existing problems in the teaching of calculus knowledge to solve these problems puts forward some constructive Suggestions are as follows: One. Introduction to calculus of culture and history; Two. Pay attention to the good teaching methods; Three. The appropriate do exercises and homework; To help teachers teach calculus, help students to learn calculus knowledge, and can use calculus knowledge for problem solving.