Research On The Application Of Reduction Thought In High School Mathematics Function Problem Solving From The Perspective Of Core Literac

With the increasing application of mathematics in different fields,more and more attention has been paid to the infiltration of mathematical thought and method in mathematics education and the development of mathematical core literacy.Transformation ideology is an important mathematical thought and method,and its application plays an important role in the development of core literacy and the improvement of problem-solving ability in mathematics teaching.At the same time,as one of the four main lines of high school mathematics curriculum,function is both the focus and the difficulty.Therefore,this paper is devoted to studying how to apply transformation ideology effectively in solving mathematical function problems in high school.First of all,this paper reviews the research status of transformation ideology at home and abroad,and explains the connotation and theoretical basis of transformation ideology in detail.Secondly,through investigation,it is found that the students’ ability of transformation ability in solving mathematical function problems in high school needs to be improved,and the penetration of transformation ideology in teaching needs to be strengthened.Again,the application of transformation ideology in function is analyzed with the guidance of mathematical core literacy.Through the application of the theory of deduction in solving the problem of function property and function synthesis,the author experiences the application of transformation ideology in solving different function problems.Finally,combined with the above research,this paper gives suggestions on the infiltration of transformation ideology in function teaching.At the same time,two common function problems are taken as examples to present the teaching cases of infiltration of transformation ideology,through which the infiltration of transformation ideology in problem solving is specifically analyzed.On the basis of summarizing the relevant literature of transformation ideology,this paper studies the application of transformation ideology in solving mathematical function problems in high school by means of questionnaire survey and other methods,and concludes that the infiltration of transformation ideology in the teaching of mathematical function in high school can improve students’ function learning ability.In other words,it can improve students’ interest in learning functions and their ability to solve problems.In the process of solving problems,students can make clear the connection between knowledge,deeply understand transformation ideology of function solving problems,improve transformation awareness,and cultivate the core quality of mathematics.