Trigonometric Function Teaching Of High School Mathematics Based On The History Of Mathematics

This is the content of Abstract Trigonometric Function Teaching of High School Mathematics Based on the History of Mathematics.The introduction of the history of mathematics in high school is one of the hottest issues that people are currently paying attention to.And what role it plays in high school mathematics teaching has also caused people to ponder.After a deep understanding of the educational function of mathematics history,I find that in recent years,Chinese compulsory education mathematics textbooks have introduced a large quantity of mathematics history materials.As an elective for students,the"History of Mathematics" in included in high school math courses.The impression that mathematics always leaves on people tends to be science,but the history of mathematics reveals that it has the characteristics of liberal arts.This shows that with the development of the times,the history of mathematics should enter the classroom in the context of the new curriculum.However,mathematics teachers can't correctly recognize the educational value of mathematics history,can't scientifically and reasonably choose mathematics history materials,carry out mathematics teaching,and promote the improvement of teaching quality.We need an in-depth research and answer in theory and practice.This paper takes high school trigonometric function teaching as the research topic,discusses how to introduce mathematics history in practice classroom teaching,and studies classroom teaching based on mathematics history.First of all,based on the research of the content background and the meaning of the related content,this paper takes the experimental class and the controlled class as the two sets of comparative variables,and put forward several practical suggestions about how to scientifically select the mathematics history materials for mathematics classroom teaching.Related introduction methods.This article is divided into four parts.The first part is the introduction of the problem,analyzing the research background and research significance.The second part combines theory with practice to analyze a series of roles played by mathematics history in the teaching of trigonometric functions,deepening students' understanding of the concept of trigonometric function and its great moral value.The third part takes the"triangular function of arbitrary angle" as the reference case of the study,as well as the entry point.It is believed that the application of mathematical history can help to create contexts,introduce new courses,and generalize thinking.The fourth part studies the results of experiments and comparisons over a period of time,and analyzes how to conduct textbook-based learning based on the history of mathematics in trigonometric teaching.The choice of topics should be conducive to stimulating students' research interest.Besides,the content of the subjects should take students' cognitive level and existing abilities into account,and should be as close as possible to daily life.Secondly,through the questionnaire survey of one hundred mathematics teachers from counties and districts in NingXia,we have learned the current situation of the introduction of mathematics history into the classroom teaching of high school mathematics trigonometric functions,and have obtained relevant analysis and conclusions.During my four years of work,I have conducted a number of teaching experiments under the guidance of my instructors.I introduced two different teaching designs,one introducing mathematics history and the other not introducing of mathematics history,to conduct teaching experiments in two parallel classes.Therefore,the effectiveness of teaching in different classes through tests,interviews,student attendance,homework completion and test scores can be effectively observed and compared.At the same time,I also integrated my research on the history of mathematics during the undergraduate course,under the guidance of the instructor on my teaching experiments.Based on the above various conditions,the effectiveness of introducing mathematics history into the teaching of high school trigonometric functions can be reasonably drawn.Finally,some personal experience and insights in the research are systematically summarized deepen the understanding of the topic.