The Teaching Research Of Advanced Mathematics Content In High School Under The New Curriculum Reform

After the new curriculum,some advanced mathematics contents are added in high school mathematics,such as calculus,algorithm initially,probability and statistics and so on.They are not only the knowledge base of the students to continue their studies,but also the students' indispensable knowledge base used enter the community to adapt to the modern technological society.In this paper,in order to investigate high school mathematics teaching conditions in the advanced mathematics content,the author chose Luoyang Institute of Technology High School teachers as the investigation objects.Survey data were analyzed by frequency analysis,correlation and regression analysis.The mathematical model of the relationship between high school students to learn advanced mathematics content and teacher stress is established.Through research,it reveals that some high school mathematics teachers feel great pressure in teaching the advanced mathematics content and feel difficulties in the instructional design.These factors affect the quality of student learning.Students do not understand the relevant background of the advanced mathematics content,lacking interest in learning.Through the conversation with Luoyang Institute of Technology High School teachers and students,it is found that suitable teaching and learning method can reduce the pressure on teachers,and good instructional design can improve the quality of teaching.This paper is based on some problems found in the research.Firstly,in constructivism,zone of proximal development and cognitive stress theory,the author takes the limit as an example to research how to properly use the teaching methods to teach advanced mathematics content as high school teachers.Secondly,the author takes the derivative as an example to research how to guide students to adopt appropriate learning methods to learn advanced mathematics content as high school teachers.Finally,the author takes the design and analysis of the fundamental theorem of calculus teaching as an example to research the instructional design of advanced mathematics content in high school under the new curriculum reform.