Difficult To Study High School Students Learning Logarithmic Function

Logarithmic function is the important basic elementary functionsin with a new class of high school students,However, due to the abstractive of logarithmic function symbols,the complexity of the learning function,as well as the integrated function of many factors such as the number,leads students on a logarithmic function of learning and understanding obviously difficult.Although the number of mathematics educators on logarithms and logarithmic functions of research quite good,but most of them are in the history of the development of the number of instructional design logarithmic function of several aspects of the concept of function, naturely, problem solving and application put forward their views,the logarithmic function-based empirical research is limited.The author interview some high school teachers and students,then find that teachers don’t know what students with learning difficulties in the learning process for a specific number of functions exist,and students with learning disabilities can’t be completely eliminated by the teacher to explain,either.So the author inquire into three high school students with learning difficulties in a logarithmic function of the research content, select three different grades of high school students in Changchun of Jilin Province as object of the study.Prior to the formal research, I select the part of the pre-study students firstly, according to a pre-questionnaire reflects issues, with appropriate modifications to the questionnaire after the three schools for high school students launched a formal investigation.Next, I use Excel and SPSS software to the questionnaire data were analyzed and processed,get high school students understand the current situation with regard to knowledge of logarithmic functions,and summarizes their main four types of learning difficulties in this part of knowledge.1. Analysis of difficult concepts logarithmic function. About such difficulties, the students were on a logarithmic function of the concept of declarative knowledge memory difficulties, logarithmic function concept variables qualification inaccurate and can not be applied to grasp the concept of the number of functions performed discriminate these three specific types of difficulties.2. Difficult application of Mathematical Thinking. In high school requires students to master basic mathematical ideas in seven categories, there are three types applicable to a logarithmic function of the relevant knowledge, are classified and discussed ideas, thoughts and the idea of combination of and snape transformation and the idea, which will undoubtedly become a high school logarithm learning difficulties function.3. Difficulty understanding complex logarithmic function. Logarithmic function and high school students learn complex functions are important and difficult, combining the two logarithmic composite function for students is undoubtedly "worse." Students in this part of the main types of difficulty is the lack of awareness of the overall substitution, ignore visits and monotonic function definition domain judgment difficult.4. Weak logarithmic function of the relevant knowledge base. The reason why some students in the event of a logarithmic function of the difficulties in learning, not for lack of knowledge of the number of control functions, but for a logarithmic function of the relevant knowledge to understand the obstacles.The author combine the results of the study for high school students on a logarithmic function of learning difficulties presented a five-point teaching suggestions:First, teachers should try to stimulate students’ interest in learning logarithmic function, and encourage students to discover the error and the courage to make difficult, and then design to adapt to the level of cognitive development of high school students and teaching activities, followed by a logarithmic function to guide students to construct knowledge framework, and finally focus on students in mathematics learning process reflection habits.