High School Mathematical Derivatives Content Analysis And Teaching Strategy Research

Derivative is the basic concept of higher mathematics and is the key content of middle school mathematics textbooks.The combination of derivative and function,as one of the six modules of college entrance examination mathematics,which occupies a high proportion in test.In recent years,derivative has become an important test object for college entrance examination mathematics,which with a high proportion of scores.In terms of the the examination results,students have lower accuracy in derivative questions.Therefore,this article analyzes the actual situation of the students' grasp of the derivative,and proposes improvement suggestions based on the survey results and teacher interviews.Finally,this article hopes to have a positive meaning for teachers' teaching and students' learning.Based on the literature survey,this article understands the research situation of the derivative in recent years.First,the difficulty model method,content analysis method,and concept map method are first used to compare A version of PEP,version of Beijing normal university,version of Jiangsu and version of Hunan.By comparing the difficulty of the example exercises,the text structure,the setting of the review questions at the end of the chapter,etc,the similarities and differences in the design derivative content of the four versions of the textbook are obtained.The conclusion of the textbook analysis is that the settings of the derivative content in the four versions of the textbook are roughly the same.First of all,the textbooks introduce the concept of derivative,then design the application of derivative,and finally give the knowledge of calculus.The example exercises in the four versions of the textbook focus on the level of exploration and calculation by textbook research method.The comprehensive difficulty of the examples of the version of Jiangsu is the highest,and the exercises of the version of Beijing normal university is the highest.The four versions of the textbook all derive the concept of the derivative from living examples,which is in line with students' mathematical cognition.In the summary section of the review questions at the end of the chapter,the version of PEP and version of Jiangsu help students consolidate their knowledge points through the form of frame diagrams.The version of Beijing normal university and the version of Hunan use written language to summarize knowledge points.Then the thesis analyzes some of the derivative test questions from the perspective of mathematical core literacy,mainly comparing the situation of the derivative test questions in the recent college entrance examination mathematics and simulation exams.The conclusion is that the examination of derivative test questions in recent years is mainly mathematical operation and logical reasoning ability.Finally,this article combines the analysis of textbooks and test questions,compiles questionnaires and interviews that are consistent with the actual situation,and studies the students' mastery of derivatives in two classes of senior three.The research results show that the difficulty for senior students in learning derivatives is mainly the lack of understanding of the concept of derivatives and the insufficient ability to apply derivatives.According to the students' problems and combining the results of teacher interviews,the corresponding teaching strategies are put forward on the basis of thinking about the difficulty of students' derivative problems:(1)Improvement of teaching materials:1)Add examples about the level of reasoning;2)Add exercises about background levels;3)Add limit ideas to textbooks;4)Learn from other versions of textbook design.This paper proposes the implementation of the derivative teaching strategy for high school:1)Based on teaching materials to consolidate basic knowledge;2)Improve students' ability to mathematically abstract practical problems;3)Cultivate students to examine questions patiently and improve reading skills;4)Select derivative examples,generalize derivative problem solving strategy;5)Improve students' review efficiency;6)Change the mindset of students and improve their resilience.