Research On The Teaching Of Derivative Concept Variants Based On Multiple Representations

Variant teaching is a traditional characteristic of mathematics education in our country.It is also a value-neutral teaching method,so it is necessary to endow new teaching thought to the content of teaching and realize its inner function effectively.As an important part of high school mathematics curriculum,derivative concept plays an important role in college entrance examination,and it is also difficult to understand.So the teaching of derivative concept has always been a hot topic.Based on the viewpoint of multi-representation of mathematics,this thesis takes the concept of derivative as the carrier by means of alternative teaching methods,builds a theoretical model of derivative concept teaching and designs the specific of variant teaching.,aiming at developing the cognition and application of students,improving innovation of students thinking and the interests of learning.First,literature method is used to study the two theories of multi-representation,variant teaching and the macro-theoretical system of variant teaching.Then this thesis explores the inner relationship between multi-representation and variant teaching.What's more,based on the teaching goal,the teaching theory of variable teaching of derivative concept is constructed.The teaching design and analysis of three lesson hours of derivative concept are also made on the basis of teaching model.Does the practice help to develop the understanding and application of derivative concept of students? Does it help to improve innovative thinking and learning interest of students? Case investigation method is used to make the key analysis on one segment of the teaching link.The results of the control class and the experimental class are compared and analyzed by interview and questionnaire.The research draws the following conclusions:1.The teaching mode improves the cognition of students and application of the derivative concept.The scores of the cognition of students and application of the derivative concept are tested by independent sample t test with SPSS.The average scores of the experimental classes are obviously higher than that of the control classes and the differences of scores are significant at 95% confidence level.As the average difference between the scores of the experimental class and the control class at different levels is similar,the teaching mode has similar effect on improving the students at different levels to understand and apply the concept of derivative.The students in the experimental classes have a better understanding of the concept and practice in the interviews with teachers and students.2.The teaching model improves the innovation of students thinking.The scores of the open problem solving part of the questionnaire are tested by independent sample t test with SPSS.The average scores of the experimental classes are higher than that of the control classes and the differences of the scores are significant with 95% confidence.Since the average difference between the experimental class and the control class in four-star schools is significantly higher than that in three-star schools,the teaching mode is more helpful for students with better original level to improve their ability to solve open problems.The students in the experimental class prefer to think independently,think from a variety of perspectives from the results of interviews with teachers and students,3.The teaching model improves the interest of students in learning the concept of derivative.The scores of the questionnaire of interest of students in learning the concept of derivative are tested by independent sample t test with SPSS.The average scores of the experimental classes are higher than those of the control classes,the differences of scores are significant under 95% confidence.Students in the experimental classes are more attentive and participated in math activities.Many students are more interested in concept teaching than before in the interviews with teachers and students,Finally,based on the research conclusion of this paper,some suggestions are put forward.