A Research On The Derivative Mathematics Based On The Problem Solving Teaching Model

Derivative was added to the high school curriculum in the new curriculum reform.Because the derivative is abstract,it is difficult to meet the standard of the curriculum,and it is more difficult to achieve the goal of the curriculum reform in the teaching process according to Students' current cognitive level the students' current cognitive level.In order to solve this problem,this thesis adopts the methods of literature,comparison,experiment and investigation(questionnaire and interview)to study the derivative teaching from figuring out the teaching mode.Firstly,the author tries to figure out the development process of problem solving teaching mode,the outline of problem solving teaching mode at home and abroad,as well as the derivative teaching situation at home and abroad.It also makes a deep research on the definition,theoretical basis,teaching objectives,implementation conditions,teaching evaluation,operation procedures and teaching strategies of the problem solving teaching mode.Secondly,the author combines the thoughts of the theory of new curriculum reform and the theory of problem solving teaching mode constructing a teaching mode for derivative teaching and makes a teaching design for "the problem of changing rate" and "the geometric meaning of derivatives"in version A of the people's education text book with the information technology.Finally,the author makes an in-depth study on the subject by using the method of experimental research.Under the new curriculum reform,the derivative teaching based on the problem solving teaching model is feasible,and the use of information technology plays a very good supporting role.Solving the problem based on derivative teaching under the new curriculum reform with information technology has changed the students' passive learning mode,improved the comprehensive ability of students,and cultivated students' practical ability.But it is not suitable for all content,so we can not ban the traditional teaching mode.In the course of the research,the new curriculum reform,the problem solving teaching mode and information technology are combined together to create a new high school.mathematics classroom atmosphere.Although the conclusions of the research have some shortcomings,for the majority of teachers who do not know how to teach in the new curriculum reform in high school mathematics classroom,it has some inspiration and it is useful to study the effective teaching of high school mathematics in Inner Mongolia District.