Research On Design Of High School Mathematics Culture Instruction Based On Problem Chain

"General High School Mathematics Curriculum Standards(2017 Edition)" pointed out that mathematics contains ideas and culture,and is an important component of the development of human civilization.It is necessary to lead learners to experience the cultural value,application value and aesthetic value in the teaching,which fully explains the culture.It emphasizes the importance of integrating mathematics culture into the course content,which shows the necessity of carrying out mathematics culture teaching.Under the guidance of the curriculum standards,teachers actively carry out the teaching of mathematics culture,but many problems have also appeared in the teaching.They did not choose effective teaching methods according to the characteristics of mathematics culture,making the teaching of mathematics culture only stay on the surface.The problem chain method embodies the value of problem chain in promoting students’ in-depth thinking and deep understanding of mathematics knowledge.This article uses teaching methods as the starting point and applies the problem chain teaching method to the teaching of mathematics culture.First,use the literature research method to sort out the related content of mathematics culture connotation,mathematics culture teaching and problem chain.It is found that the existing research is to investigate the current situation of mathematics culture teaching and propose strategies for specific problems without in-depth discussion of the causes.Secondly,I summarized the problems in cultural teaching and found that the main reason for the problems is the lack of effective teaching methods.Thirdly,the connotation and essence of the problem chain and the teaching function of the problem chain are explained,and the feasibility and basis for the application of the problem chain in mathematics culture teaching are put forward.Finally,combining the existing literature and own experience,the design principles and steps of the problem chain are given.And choose the basic concept of logarithm and the first n items of the geometric sequence as an example,use the problem chain design theory to present the generation and development process of mathematical knowledge with the problem chain,in order to progress from shallow to deep,layer by layer.The progressive question chain is the mainstay,and the instructional design is finally formed.The problem chain method can improve the problems in the teaching of mathematics and culture,and provide an effective method that fits the cultural content,so that the teaching can be really deepened,and finally the quality of teaching can be improved.