The Study Of Mathematical Culture In The Senior High School Mathematics Teaching

Mathematics has a long history,it's not only the basis of all natural sciences and technologies,but also an important part of human civilization.The mathematical culture has aroused widespread concern from the beginning.In the “Ordinary High School Mathematics Curriculum Standards(Experimental)”,the mathematical culture was incorporated into the high school mathematics curriculum for the first time.In recent years,with the continuous advancement of the new college entrance examination reform,the examination of mathematical culture has also increased in the college entrance examination.The majority of teachers pay more and more attention to mathematical culture.Mathematical culture has both scientific and humanistic characteristics,that can not only cultivate students' mathematical literacy and develop quality education;but also provide ideas and directions for the high school mathematics teaching under the new curriculum reform.Therefore,assimilating mathematical culture to mathematics teaching in high school has certain theoretical value and practical significance.On this basis,this paper first understands the current research status of mathematical culture by sorting and analyzing previous studies on related content of mathematical culture.Secondly,the mathematical culture contents are presented and analyzed in high school mathematics from three aspects: curriculum standards,teaching materials,and college entrance examination questions.Then,acquainting the current high school students' attitude and the understanding of mathematical culture,and analyzing the problems and causes of the integration of mathematical culture into high school mathematics teaching through the questionnaire.Then,based on the questionnaire survey,the methods and ways of integrating mathematics culture into the teaching are discussed,which includes mathematics history,mathematical thought method,mathematical applications,and mathematical beauty.Finally,the specific teaching strategies are applied to the design of teaching cases of probability knowledge.Through the questionnaire,it's found that the current penetration of mathematical culture in mathematics teaching is not high,and high school students' understanding of mathematics and mathematical culture is relatively one-sided.Based on this situation,this paper believes that the history of mathematics should be incorporated into teaching to allow students to understand the ins and outs of knowledge.By clarifying the thought and methods of knowledge to cultivate students' rational thinking.By showing the connection between mathematics and other disciplines to broaden students' horizons,and realize the application value of mathematics.By guiding students to discover and appreciate the beauty of mathematics,so as to arouse the emotional resonance of students and stimulate students' interest and initiative in learning.There are many studies on the integration of mathematical culture into the teaching of knowledge points such as function,number sequences and complex numbers,but there are not many teaching cases of probability content.The feature of this article is based on the probability content,and analyzing the mathematical culture of the probability in detail from the three aspects,witch includes the new curriculum standard,the new mathematics textbooks as well as the college entrance examination in recent years.Then two cases are developed based on the new textbook,they are “classical models of probability” and“basic properties of probability”.Hope to enrich the teaching cases of mathematical culture and provide some reference for the teaching of teachers.