Research On The Application Of Function Transformation In High School Mathematics Problem Solving

Mathematics is an essential required subject in students' course learning,which is full o f logic,abstraction and strictness.In solving mathematical problems,students often use a var iety of mathematical solutions,including conversion and transformation.The reduction meth od can simplify complex problems,greatly improve the efficiency of solving problems,stim ulate students' interest in learning and build up their confidence in learning mathematics.The refore,the author chooses the application of the idea of conversion in high school function pr oblem-solving.Firstly,this paper expounds the essence,theoretical basis and research background of th e idea of mathematical regression.After investigation and analysis of senior high school text books,the author found that the idea of transformation is widely used in senior high school f unction problem-solving,so in the fourth chapter,the basic transformation of senior high sch ool function common problems is described and exemplified,and in the fifth chapter,the bas ic transformation methods of function problems are describedBecause the author thinks that the teacher is the student's guide,the knowledge teacher,the teacher has the responsibility and the duty to help the student,provides the most ingeniou s solution method for the student,and should have the ability to see the mathematics thought through the mathematics method.Therefore,the author chooses five senior high school math ematics teachers in T City as the objects of investigation,in the form of questionnaire and int erview to understand how the senior high school teachers master the idea of functional regres sion and how to apply it in the classroom,and in Chapter T,the author makes relevant analys is.The conclusion is as follows(1)High school mathematics teachers themselves lack of training on the theme of functi onalization;(2)teachers lack of systematic links to improve their level of functionalization;(3)high school mathematics teachers are generally aware of the importance of function alization;(4)in the implementation of functionalization,teachers do not pay enough attention or f ace difficulties in practice;(5)for the knowledge points of senior high school,teachers think that the idea of functi onal transformation is the easiest to permeate.(6)most teachers Teachers think that it is more appropriate to set up the special subject t eaching course of the idea of functional transformation in senior three;On the basis of literature review,questionnaire survey,interview record,experience con sultation and experience summary,the seventh chapter gives some teaching strategies of infil tration into the thinking method,and puts forward the author's suggestions on how to improv e the senior high school students' application ability of functional thinking problem solving,hoping to be helpful to the front-line teachers.