Based On The National Volume "function And Derivative" Teaching Research

The function and derivative occupy a large proportion in the national mathematics volume,and the function and derivative are closely related with the inequality and the equation.It is the key content of high school mathematics knowledge.Therefore,the author makes a research on the function and derivative of the high school from the perspective of the national volume,so as to provide reference for the teaching process of the function and derivative of novice teachers.First,the chapter analyses the requirement to the function and derivative mainly from three aspects:the high school mathematics curriculum,PEP textbook,the college entrance examination,and forms accurate understanding and position of the function and derivative.Then,focuses on the characteristics of the function and derivative test questions.Through statistical questions types,the amount of questions and the point of knowledge,the author summarizes the features of the function and derivative item:multiple choice,fill in the blanks and answer questions are involved,not only focus on the basic questions,but also pay attention to comprehensive.Next,the author combines the request to students in basic knowledge,basic skills,basic mathematical way of thinking and individual character.The basic knowledge of the function and derivative start with images and properties of functions,extend with parameters,inequality and so on.Students are required to have a solid foundation of knowledge and integrate them;basic skills of the function and derivative mainly test students' mathematical analysis ability and problem-solving ability,computation ability,logical thinking ability,reasoning ability,recognizing patterns and using patterns ability,application consciousness,innovation consciousness and so on.These abilities are not examined separately,but two or more than two are examined comprehensively;basic mathematical thinking method of the function and derivative focuses on examining students' understanding of them,the skills to combine the mathematics thinking method with the basic knowledge organically and use them to solve problems;personality traits of the function and derivative requires students to maintain a good attitude in the process to solve problems,and over difficulties actively.Last but not the least,the author puts forward some suggestions from the two aspects of the new knowledge teaching and the review teaching of the function and derivative.These suggestions based on the "four bases",with achieving the goal to prompt the ability of the students.In the new knowledge teaching stage,firstly,teacher should consolidate students'basic knowledge,not only should guide the students to memorize basic knowledge,but also help students understand it.Secondly,teacher should train students' knowledge skills,rule skills,methods skills,through variant training,cooperative inquiry.Thirdly,teacher should permeate mathematical thinking in the teaching process,and design teaching activities carefully.In the process of the function and the derivative teaching,teacher inflict abstract thought,reasoning thought,model of thinking to students,develop students thinking,help students understand the basic mathematical thought.Fourthly,teacher should improve students' basic activity experience.In teaching activities of the function and derivative,teachers should carry out rich teaching activities to help students accumulate basic activity experience actively.In the review stage of teaching,first of all,teacher should grasp the trend of the proposition and the focus of the content,catch the examination way and content of the function and derivative wholly.Second,the teacher should make a reasonable and effective plan for the review,to ensure the smooth progress of first round of review,special review and sprint review.The last but not the least,teacher should evaluate the review effect in different stages reasonably.In every time after detection,teacher not only need to guide the students to carry out the correct self-evaluation,but also to make a positive feedback to the review effect of students,and give guidance to students on the next stage of review.