| Exponential function and logarithmic function are important basic elementary function models,they are important parts of high school function contents,in the process of learning,students will understand the function of the knowledge further more,understand the methods of studying the functions,but because of the exponential function and logarithmic function knowledge abstraction nature,it’s difficult for students to understand and master.To learn exponential and logarithmic functions well can improve students’ overall abilities,to teach exponential function and logarithmic functions well can enhance teachers’ teaching skills.The paper uses literature,questionnaires,interviews,case-study and other research methods,to start with the research on the Current Situation Index logarithmic functions from either home or abroad,under the new curriculum reform concept as the guiding ideology,combined with teaching,the author take the teachers and students who are from the local schoolfor the study,conducted a survey and interviews.Summed common problems that exist in the teaching and learning exponential function and a logarithmic function process,and on the basis of cognitive structures and constructivism theories,combining teaching theory and the actual situation of teaching,I analyzed the problems that are existing in teaching and proposed effective teaching strategies to improve teaching efficiency for teachers,based on the design of an exponential function of instructional,with the exponential and logarithmic functions Special Case review to optimize the teaching,so that students can grasp functions of knowledge and application on the exponential function and logarithmic.This article is mainly on the studying of the status of both teaching and learning in the exponential function and logarithmic function,in carding summary of problems the of teaching and learning,the status of teaching and learning problems of inductive analysis,based on the process of research conclusions,recommendations put forward by this study,we concluded that: in the analysis in teaching and learning exponentialfunctions and logarithmic functions,to some extent on the teacher’s attention to theoretical support and guidance of teaching;improve their professionalism and teaching skills,to be studying teachers;we should focus on students with guidance of mathematical thinking training and learning methods,to stimulate and develop students’ interest in learning,highlighting student dominant position,rationally use multimedia tools,multi-angly improve teaching efficiency of teachers through the development of effective strategies for enhancing teachers’ teaching and the help for students.This paper focuses on studying in the exponential function and logarithmic function which can improve their theoretical and practical level,to improve the efficiency of classroom instruction,also provides a method for the development of students’ thinking skills,hoping to help teachers on teaching. |