Investigation And Strategy On The Status Quo Of Mathematical Combination Of Senior High School Students

Number and form are the important subjects of mathematics study, the combination of number and form has a long history. From Pythagoras "all is number" will start number and shape in a close contact. The analytic geometry founded by Descartes is a model of the combination of number and form, which greatly promoted its development. Number and form are the two most basic concepts in mathematics. They are interrelated and mutually demonstrated. In the compulsory education mathematics new curriculum (2011 Edition), it is pointed out that the combination of number and form is one of the important methods to explore the new knowledge of mathematics. Therefore, the combination is not only the focus of teaching, but also the indispensable part in NMET. The new round of curriculum reform pays more attention to the cultivation of students’ exploration and innovation ability. It also puts forward higher requirements on the students’ understanding of the combination and their ability to solve problems. It also puts forward new challenges to the teachers’ teaching. Therefore, it is necessary to study the application of the combination of the logarithmic form in solving problems and the students’ ability to solve problems.This paper attempts to summarize the results of previous studies, based on the materials, to the educational practice experience as a reference, to further study the application of the combination of several forms in the high school mathematics, and through the questionnaire, oral interview and classroom practice, to understand the students’ number form combining ability of solving problems. And on the basis of the full analysis of the results, it is discussed how to cultivate students’ ability of combining numbers. This makes it is not only the method to solve the problems, from a higher level, it is also a kind of mathematics thought, and it can be internalized into the students’ mathematics quality.Concrete speaking, this article is divided into five chapters:first chapter is the introduction, mainly elaborated the research background and significance; the second chapter is the literature review, mainly summarize the results of previous studies, including the evolution history of the combination of number and form, the theoretical basis of the combination of number and form and it’s educational value. In the third chapter, the application of mathematical problems’ solving in middle school is summarized, and the three types of application are summarized and illustrated by examples. And in the use of several forms of solving the problem should follow the principle of equivalence principle and equivalence, and finally according to the analysis of the college entrance examination in recent years, summed up the characteristics of the college entrance examination. The fourth chapter is about the analysis of the application of the theory of the logarithm. The main reason is that the students’ composition ability is not strong, the students have a weak relationship with the number of the same knowledge points and the corresponding relationship between the form and characterization. But relatively speaking, the students’ ability to think about the form of thinking is better than the ability of "thinking". The fifth chapter, according to the fourth chapter, it gives some suggestions on the problems that are found in the research, including changing the concept of teachers, using the material in the teaching material, paying attention to the teaching of the mathematics language and using the information technology.