Research On Pattern Recognition In Solving Mathematical Problems In Senior High School

"Problem solving" is a hot topic in mathematics teaching and research in China,and pattern recognition is an important part of problem solving.It not only plays a decisive role in whether students can solve problems successfully,but also cultivates their learning ability to meet the requirements of mathematics curriculum standards.Therefore,the research of pattern recognition combined with a certain branch of mathematics has been paid more and more attention by the educational circle.In high school curriculum,trigonometric functions,as the main line of high school functions,occupy an important position in the college entrance examination,but due to the particularity of trigonometric functions,students have some difficulties in solving trigonometric function problems.Therefore,this paper hopes to explore the status quo of pattern recognition in trig function problem solving by studying pattern recognition in trig function problem solving,so as to further explore the obstacles in the process of pattern recognition in high school students' trig function problem solving and analyze the reasons for the obstacles.In this way,it can provide some help for teachers' effective teaching and promote their growth in teaching.In order to explore the status quo of high school students trigonometric function problem solving in pattern recognition and analysis of its obstacle reason,this article mainly adopts the literature analysis method,the collective test method and interview method to carry out the research of this paper from the following several aspects: first,through literature analysis refer to problem solving in the pattern recognition of related information,understanding of the existing research,to identify research methods,the research direction and research content of this article;Secondly,the test paper is prepared according to the three levels of pattern recognition,and then the group test method is adopted to test the students in the second and third year of high school.Finally,in order to make this research more coherent and in-depth and comprehensive,this article adopts qualitative research methods of pattern recognition in the high school students problem solving process in case analysis,and with the help ofa high,high three student interviews to get to know different grades students in problem solving steps and specific ideas of pattern recognition process,to analyze the pattern recognition process obstacle reason,put forward the proposal.According to the above research findings:1.The current situation of pattern recognition in high school trigonometric function problem solving:(1)In the aspect of content,the level of pattern recognition in trigonometric function problem solving is general.Among them,the recognition of the most value is the lowest;(2)At each level,students level of integration discrimination model is lower than that of direct discrimination model,and the level of transformation and adjustment discrimination model is lower than that of integration discrimination model;(3)In branch don't,sex aspect science class is significantly higher than the liberal arts class,the high school boys overall slightly higher than the girls,the senior three girls overall slightly higher than the boys.2.The obstacles of pattern recognition in high school students trigonometric function problem solving are memory retrieval obstacle,pattern integration obstacle,pattern matching obstacle,pattern evaluation and adjustment obstacle.3.The obstacles of pattern recognition in trigonometric function problem solving of senior high school students include: unclear memory of patterns,lack of concise topic types,lack of summary and reflection consciousness.4.The correction suggestions of pattern recognition obstacles in trigonometric function problem solving of senior high school students include:strengthening the understanding and classification of patterns and strengthening self-monitoring consciousness.