Analysis And Exploration Of The Problem Of Elementary Mathematics Inequality Under "High Viewpoint"

In rent years, new curriculum reform is well underway, the new textbook for senior middle school are updated continuously, making some basic knowledge of higher mathematics naturally entered into the high school textbooks. And it also permeates some thoughts of modern mathematics. As one of the important content in the middle school mathematics, inequality is often combined with other content to test, and this kind of question usually have stronger comprehensive. Therefore, the questions which are on the carrier of inequality and on the background of higher mathematics content frequently appear in the college entrance examination. They increasingly become "the new luminescent spot" in the university entrance examination. On the one hand, this kind of questions can effectively test the students’ creative thinking ability and the potency of continuing to study mathematics in the construction of the college entrance examination. On the other hand, they received extensive attention of the general education workers. This paper which is divided into five parts focuses on the inequality problem of "high point".The first part is the introduction of this paper, which mainly elaborated the research background and their importance and necessity of elementary mathematics inequality under the "high point". Then through to the classification of the predecessors’ research results, the conclusion puts forward the problem to be solved in this study finally.The second part is the study of theoretical basis of the paper, this section mainly introduces the elementary mathematics related contents of higher mathematics, including some of the important definitions, theorems, formulas, and conclusions, as well as several important inequalities.The third part mainly classifies and analyzes the inequality problem under the "high point". This section studies this kind of problem respectively from the examination questions conception, origin, background, solutions to questions and students’ability of mathematics and other aspects of research, which hope middle school teachers and students can get inspiration and help from it. This part is also the core of this paper.The fourth part mainly inquiries and explores the inequality problem under the "high point" from several aspects. First of all, through to classify and analyze the inequality problem under the "high point", the author sums up out the general characteristics of such problems. Then I design a specific teaching case which carries on the analysis and reflection. After that, the writer also explains the role of "high point" in inequality teaching in middle school. Finally, for the implementation of "high point" inequality teaching, I put forward some suggestions for high school teachers, middle school students, the normal universities and education departments respectively.The fifth part is the conclusion and reflection on the paper, which is based on research and analysis of some questions.