Study On The Problems And Strategies Of Infiltrating Mathematical Culture In High School Mathematics Teaching

The General Senior High School Mathematics Curriculum Standard(2017Edition)was promulgated in January 2018.The new curriculum standard clearly points out that mathematics culture should be integrated into mathematics teaching activities.With the advancement of curriculum reform,mathematical culture has become a hot research topic,and the teaching penetration of mathematics culture has become the focus of education.The compulsory curriculum and selective compulsory curriculum in the new curriculum standard contain the theme of "function",which shows that the function is one of the focuses of high school learning.However,the abstraction of functions makes it difficult for students to learn mathematical functions,and even generates fear.This paper focuses on the problems and strategies of infiltrating mathematics culture in high school mathematics teaching.By consulting literature,we can understand the connotation and extension of mathematical culture,understand the current situation of research on mathematical culture at home and abroad,and make clear the value and significance of mathematical culture in mathematics teaching.Through questionnaires on mathematics culture between teachers and students,we found that there were some problems in infiltrating mathematics culture:teachers themselves do not attach importance to mathematics culture,classroom teaching methods are single,students depend on teachers to a certain extent,schools do not attach importance to infiltration of mathematics culture,examination system based on marks,etc.Then,taking the function as an example,the author designed teaching cases permeating mathematical culture such as history,beauty,method and application of mathematics and carries out teaching practice.It was found that the students in the experimental class were more proactive in the classroom,and their interest in mathematics was significantly increased.The progress of the experimental class was obviously better than that of the control class.In view of the existingproblems,the author combined the experimental results and analysis to draw some strategies for infiltrating mathematics culture in high school mathematics teaching.The strategies are as follows:(1)The state improves the evaluation system and compiles appropriate teaching materials of mathematical culture;(2)The influence of school mathematical culture environment indirectly affects the infiltration of teaching;(3)Improving teachers' quality and enhancing teachers' awareness of infiltration of mathematical culture;(4)Making the teaching design of mathematical culture,adopting various teaching methods;(5)Integrating mathematical culture through the combination of mathematical history,mathematical thinking method,mathematical beauty,mathematical application and teaching content;(6)Integrating mathematical examples with mathematical culture to improve students' mathematical cultural literacy.Although the strategy of integrating mathematics culture into teaching has been deeply studied,there are still some shortcomings in this study: the scope of the sample is relatively small,the number is not enough,the case is not perfect,and the strategy is not further verified.Because the author's academic ability and teaching experience are limited,there is no further breakthrough for the time being.But the author will continue to work hard in the future to study how to infiltrate mathematical culture in high school mathematics teaching,and provide more teachers with operational teaching suggestions.