Problems And Countermeasures Of Teaching And Learning Basic Inequalities In High School

Inequality is an important teaching content in high school mathematics,depicting a large number of unequal relations in life,and basic inequality is an important part of inequality,playing the role of "basic",closely related to other parts of knowledge,and widely used.If students can fully understand the intrinsic mathematical nature and conditions of basic inequalities and master their usage,they can not only provide a more concise and convenient method for solving problems,but also be able to grasp the core of mathematics such as mathematical abstraction,logical reasoning and visual imagination.Promotion is a great help.Basic inequalities seem simple,but in practice the usage is flexible.In daily teaching,if you can’t make the students know what they know,it is easy to lead students to ignore the process and method of their derivation,but only to remember the formula rigidly,so that the meaning of teaching and the purpose of teaching are greatly reduced.This paper designs the questionnaire based on the three-dimensional goals in the "Standards for Senior High School Curriculum(Experimental)",designs test volumes according to the learning stage of APOS theory,and joins interviews to study the problems in the process of teaching and learning of basic inequalities.After attribution analysis,it is found that the problems that students encounter when learning basic inequalities are: 1.It is generally considered that basic inequalities are relatively simple,neglecting in-depth study and learning.2.The understanding of basic inequalities only stays on the surface,ignoring the process of knowledge formation.The process of the question is not rigorous,lack of test conditions.Step 4.Insufficient ability to integrate knowledge,lack of knowledge and skills.Teachers also exist in the teaching of basic inequalities: neglecting the exploration of the formation process of basic inequalities,and lacking the emphasis on the implication of ideas and methods in basic inequalities.Finally,in response to these problems,based on the theory of education and other theoretical recommendations,in order to provide a basis for the teaching of basic inequalities,to find a way for the learning of basic inequalities.