Research And Reflection On Function And Derivative Questions Of College Entrance Examination

Function and derivative is a vital content of high school mathematics,and it is also an essential link between primary mathematics and advanced mathematics.Since the implementation of the curriculum standards,an increasing number of teachers,students and educational researchers have paid more attention to the problem of function and derivative solutions.Throughout current literature,many researches focus on curriculum standards,college entrance examination and derivatives,but for the the research on problem of function and derivative solutions of curriculum standard is very little.This study lasted for a year.In order to collect a large amount of data and materials and to provide realistic basis for the study of the function and derivative of the curriculum standard,writer has visited more than ten high schools,interviewed more than twenty senior high school mathematics teachers and over fifty students,making use of the convenience as a front-line teacher to investigate among students.On this basis,writer has formulated and implemented the teaching strategy of function and derivative which receives good effects and provides guidance for the teaching of function and derivative.This these focus on works as follow:Survey: interviewing high school math teachers and high school students to learn about the situation of function and derivatives of high school students.Analyzing the situation of function and derivatives study of high school students based on materials collected by surveys and interviews.(1)Ability of solving problem: accurately grasping the high frequency test items of function and derivatives,having a complete problem solving idea;(2)Normal study:paying attention to the study of relevant concepts,accurately grasping the essential and difficult test items,having the ability of flexibly transferring old knowledge,having their own learning ideas and skills;(3)Testing: question types including the concept of function and derivative and the combined application offunction and derivative.According to the analysis and author’s teaching experience,building a targeted training strategy;clearing the derivative meaning and combing the generation process;using the modeling thought to strengthen the application ability;fostering variation thinking and strengthening question solving ability.Testing the effect of training strategies by implement them at the author’s class and check with paired sample T: the change of normal study was the biggest,testing was second and the change of ability of solving problem was minimal.Those changes are because normal study reflects learning habits,so it is easier to culture;improvement of the test need a large amount of exercise as the basis,so it is difficult to change in a short period of time;ability of solving problem covers test sites and hotpots which can not be achieved overnight,it needs long-term accumulation of experience.Finally,finding out the effect of training strategies and the reasons of those changes can help optimizing the training strategy and providing further help for the students’ learning.