High School Calculus Course Teaching And Research

With the backdrop of courses reform in the basic education of our country, this essay selects"Calculus"as research object which is adopted and deleted for several times by the maths textbook in the senior high school . This undoubtedly brings forward a new question for the maths teachers in the senior high school because"Calculus"is adopted by the maths textbook. The content of"Calculus"in maths course of senior high school aims at proposing to use"Limit"to solve problems on the basis of elementary maths. This content is neither the introduction to the primary knowledge of"Calculus"nor the transfer of high mathematics to a lower level, while it is the natural popularization of the thought way of using elementary maths to solve problems. Therefore, the key to success or failure of teaching this part of the content depends on the following factors: the right understanding of the purpose of this part of the content, the analysis of the internal relations between this part and relative elementary mathematics, sufficient consideration of the cognitive level of the students and reasonable teaching design. Just because of the above understanding , the writer considers it is necessary to make some discussion on this content.The essay are divided into three parts. Firstly, it researches on the course reform in"Calculus"by analyzing the reason the reform of maths teaching in senior high school, the course reform in"Calculus"and the request of teaching levels. Secondly, it analyzes the attentive problems during the teaching process in"Calculus"and it emphases on dealing well with the four relationships in learning differential coefficient in"Calculus". Lastly, on the basis of the writer's teaching experience, it analyzes the teaching strategy. Furthermore, it provides teaching designing example of teaching the concept of"number line limit"and also provides designing example of"putting questions"in teaching some content of"differential coefficient and its application". The writer wants to provides some teaching inspiration for the maths teachers by doing these and makes the students have a deep understanding of"Calculus"during the teaching process.