| Derivative problems have played a pivotal role in the mathematics of the college entrance examination over the years,and learning to solve derivative problems can help students improve the overall level of mathematical problem solving.The vast majority of high school students have insufficient ability to solve derivative problems,and they are helpless when they encounter more comprehensive and flexible problems.In the context of the rigid teaching mode of problem solving in the current front-line teaching environment,in order to help students master the method of derivative problem solving,this study takes high school students as the research object to carry out investigation and practice,explore the teaching strategy of derivative problem solving in the college entrance examination,effectively improve students’ derivative problem solving ability,and cultivate students’ mathematical rationality.The research methods used in this paper include questionnaire survey method,interview method and case study method,which are first inspired by reviewing the relevant literature of derivative problem solving teaching and the learning theory about problem solving,and after sorting out and summarizing the research conclusions of predecessors.Secondly,further use the internship to conduct questionnaire surveys and interview surveys in the third year of high school to understand the current status of students’ mastery of derivative problem solving,the understanding of front-line teachers on students’ problem solving and the problem solving teaching methods they use.On the basis of sorting out the derivative questions of the national college entrance examination in recent years,the derivative questions are classified,the basic solution ideas of each type of problem are discussed,the teaching strategy of derivative problem solving is constructed,the teaching of "derivative solution of inequality problems" is taught,and the teaching practice of the 22 nd question of the 21-year new college entrance examination I volume is carried out to test the teaching strategy of solving the problem.In the survey,it was found that students have a fear of derivative problems,only solve some simple problems,encounter parameters problems do not know how to classify and discuss,and most of them have no ideas or limited thinking when encountering comprehensive topics.Teachers generally set up micro-topics to make breakthroughs in student problems,etc.The study found that the derivative problems of the college entrance examination can be divided into five basic question types: the problem of geometric significance of derivatives,the problem of monotonicity of derivative solving functions,the problem of derivative solving zero point,the derivative solving of extreme and maximum value problems,and the derivative solution of inequality problems.Derivative problem solving teaching strategy: demonstrate the identification of problem types,form basic ideas;Simplify the problem and build a bracket;Training strategies,cultivating thinking;Variant training,consolidation and promotion;Review and reflect,summarize experience. |
