Analysis Of The Causes And Countermeasures Of Difficulties In Exponential Function And Logarithmic Function Concept Learning Of Secondary Vocational School Students

Mathematics concept learning is the foundation of students' cognition of mathematics knowledge,and is also the difficult point of mathematics teaching in secondary vocational school.The thesis classifies and analyzes the conceptual cognitive errors which appear in learning “exponential function and logarithmic function” of the secondary vocational school students.And from the aspects of non-intellectual factors and students' own mistakes in mastering concepts,the thesis analyzes the causes of conceptual cognitive difficulties of“exponential function and logarithmic function” of the secondary vocational school students,and puts forward the countermeasures of studying the two concepts.In this thesis,the author mainly uses the literature analysis method,interview method,questionnaire survey method and so on to analyze the related research results and summarize the conceptual errors of learning “exponential function and logarithmic function”.The significance of the research is to eliminate the fear of learning function and to help students develop a good habit of learning mathematics,as well as to provide teaching experiences and strategies for math teachers in secondary vocational schools in teaching the concept of“exponential function and logarithmic function”.The summary of this research is as follows:The non-intelligence factors of the concept learning difficulties of “exponential function and logarithmic function” of the secondary vocational school students: the characteristics of mathematics,mathematics learning psychology,learning habits and attitudes,learning methods,teaching philosophy,knowledge link between junior high school and secondary vocational school,and teachers' explaining skills.The factors of students' errors of in mastering basic concepts: lack of profound understanding of collective knowledge,confusion of the concepts of power and base,inaccuracy of understanding function and inverse function,cognitive vagueness of symbols,chaos transforming relation between two kinds of function,bad operational ability,insufficient ability of composition and so on.Countermeasures are divided into two aspects: to strengthen interference of the non-intellectual factors,and to strengthen the mastery of basic knowledge and improve the basic mathematical ability.In specific,the first is that teachers pay attention to psychologicalcounseling on learning mathematics of the secondary vocational school students,cultivate a good habit of learning mathematics and methods,strengthen the cognitive construction learning of the concept,and make a good cohesion of knowledge between junior high school and secondary vocational school;the second is that teachers pay attention to the cognitive construction of the concept of “exponential function and logarithmic function”,strengthen the students' accurate understanding of the basic concepts such as power,set,function,the inverse function,and improve the logical thinking ability of the conversion of function with the aid of multimedia and mathematics teaching software.In the end,the author puts forward some teaching suggestions according to the research results.