The Practice Research Of Permeating Mathematics Thought Method In High School Mathematics Teaching

Whether it is learning life or the scientific research of modern science and technology,it is inseparable from the participation and support of mathematics as a tool,and people are gradually extracting,condensing,summarizing and summarizing mathematical ideas and methods in the long-term learning life and the research process of mathematical knowledge.Mathematical ideas and methods are an indispensable part of the process of constructing and improving the structure of high school mathematics,which can provide a connecting link for students’ thinking and problem solving,and perfectly integrate the two through various paths to achieve further transformation from mathematical knowledge to mathematical ability,which has an important role and far-reaching impact.For high school students,when solving mathematical problems,they often encounter a lack of problem-solving ideas,independent problem solving difficulties,etc.,and it is difficult to understand and understand everything,mainly because most students do not master the mathematical ideas behind the questions.Therefore,teachers pay attention to the long-term penetration of mathematical ideas and methods in teaching activities,so that students can gradually form excellent learning habits in continuous learning life,gradually construct and improve their own mathematical thinking ideas,so as to better solve related problems,so that teachers can teach at a higher level,students learn more independently,and then truly improve students’ mathematical literacy,which is also more in line with the requirements of the state to comprehensively promote quality education.Therefore,this paper envisages taking high school mathematics classroom teaching as the main foothold,and on this basis,the connotation and characteristics of mathematical ideas and methods and infiltration teaching are explored and discussed.Firstly,the background of this research is discussed,and the necessity and important utility of the teaching mode integrating mathematical ideas and methods for the teaching of mathematics classroom teaching in high school are clarified,and in order to further clarify the essence of mathematical ideas and methods,detailed exploration and discussion of mathematical ideas and methods commonly applicable in high school are carried out.Then,with teachers as the survey subjects,the penetration of mathematical ideas and methods at this stage was investigated through classroom observation method and teacher interview method,so as to clarify why the teaching mode of infiltrating mathematical ideas and methods should be integrated into the teaching process.Secondly,it clarifies the relevant principles and corresponding implementation strategies that should be followed in the process of carrying out effective infiltration teaching of mathematical ideas and mathematical methods,and explores the infiltration channels and means that can be applied in a multi-dimensional and three-dimensional manner.Finally,specific classroom teaching cases are combined to clarify the penetration effect of mathematical ideas and mathematical methods in the teaching process,and controlled experiments are constructed and implemented to further test the teaching effect of effectively improving students’ quality and ability by using the infiltration teaching mode of mathematical ideas and methods in high school.Finally,in view of the overall summary and prospect of the relevant research content of this paper,only by fundamentally realizing the important utility of the teaching method of effectively penetrating mathematical ideas and methods,and gradually carrying out infiltration teaching in practice,highlighting the process of generating and extending mathematical knowledge,can we cultivate creative talents with comprehensive literacy and promote the development of mathematics.