Research On The RMI Principle Based Mathematics Teaching In High School

Mathematics has always been a highly valued subject,and many people struggle with mathematics but have little effect.The analysis of teaching materials and observation teaching find that the mathematics learning can be different.In the learning process of mathematics knowledge,we will summarize the mathematics method,refine the mathematical idea,form the mathematical thought,at the same time can use the mathematics thought method to instruct our study.In this paper,using literature analysis,the collecting and organizing of RMI principle research literature at home and abroad,to lay a theoretical foundation,this paper firstly focuses on the principle of RMI application in the high school mathematics,and then using the method of investigation of RMI principle in the application status of high school math study,includes interviewing teachers and students of questionnaire survey,and finally to the section of high school based on RMI teaching design.First of all,explore the application of RMI principle in high school get the following conclusion.RMI principle is widely used in the high school mathematics,including the function,geometry and algebra,mathematical model used in frequently,and each section using a different form.Part in the function,the use of the principle of RMI is more a function of all kinds of problems by the mapping can be converted to the problem,with the property of the function imaging and conclusion function to solve,then function conclusion inversion for the original problem.Such as inequality,the scope of the parameters in the equation,the most value problem of the trigonometric function,the most value problem of the series,etc.The RMI principle applied in the function also includes application in the exponential function and logarithm function,more reflect on the index and logarithmic operations.In geometry and algebra,the means of the RMI principle is by means of coordinate system to the algebra problem with geometric problems,and then realize the combination number form.Using RMI principle can be geometric mapping into algebraic problems,the algebraic expression geometric meaning,and inversion to the geometric problems so as to study the properties of the curve.Mathematical modeling become a research hotspot in recent years,the use of the RMI principle in mathematical modeling reflect incisively and vividly,the RMI principle to guide the modeling of almost all process.Using the mapping function model,the actual problem can be converted to solving function model get conclusion function,then function conclusion inversion for practical problems.Then the RMI principle in high school mathematics teaching of the status of theinvestigation,get the following conclusion.In the face of ever-changing mathematical problems,thinking is the best weapon,the RMI principle is the thinking of the ultimate weapon,so to cope with the RMI principle pay more attention to all the teachers and students.In the teaching,teachers should highlight the method of using mapping transformation,to help students construct knowledge,cultivate the flexibility of thinking,mathematical methods to guide students to sum up more at the same time,refining mathematical thinking.Students should break the conventional thinking mode,consciously by mapping transformation,hard,change numerous for brief.Finally on the basis of investigation,this study conducted permeate the RMI principle of teaching design,hope is good for teaching.Different teaching content,the RMI principle of teaching way is different also.In \"based on a yuan quadratic inequality and its solution method of teaching design,the RMI principle mainly to help students understand the relationship between the three\" secondary \",give priority to with penetration.In the \"based on the principle of RMI equation of ellipse and its standard of teaching design\",the RMI principle mainly transformed to algebraic geometry,give priority to with auxiliary.In the \"application examples based on RMI principle in the function model of instructional design\",the RMI principle mainly is reflected in the form of modeling steps,to guide is given priority to.