The application of mathematics in physics has always been very extensive,and it is the main tool and language of physics.We can see that so much mathematical knowledge like Newton’s calculus to Feynman’s path integrals has continuously originated from the actual needs in physics.Physics is the subject that is most widely and deeply used and most closely connected of mathematics.The importance of the application of mathematics began to be reflected in high school learning,for the learning of physics in high school is richer in content and deeper in learning compared with junior high school.In the actual high school study,items like the description of physical concepts,the understanding of physical laws,the solution for exercises,the measurement calculation and error analysis of experimental classes all have actual mathematical needs.Therefore,as a physics teacher in high school,how to cultivate high school student’capability of solving physical problems by using mathematical methods is very meaningful for practical research.The introduction part of the first chapter of this article explains the research background and current research status at home and abroad,and summarizes the main content and methods of the research.The second chapter of the main text elaborates on related concepts and theories.The author summarizes the capability of solving physical problems by using mathematical methods into three dimensions: establish mathematical models in physical problems,perform mathematical inference operations on models and data,and express physical meaning of mathematical results.The third chapter of the main text sorts out and gives examples of mathematics methods used for physics learning of current high school students.Through interviews with teachers and questionnaires to students,the fourth chapter of the main text investigates the actuality of teachers and students of different grades on the use of mathematical methods for physics problems.And it is found that most high school students need to strengthen their ability on solving physics problems by using mathematical methods.The fifth chapter of the main text puts forward the guiding strategies for cultivating students’ capability on solving physics problems by using mathematical methods.Adopt advanced organizational strategies for the lag of mathematics,adopt physics history and design practically difficult situational teaching to improve learning enthusiasm,use analogy induction to help students choose mathematics methods rationally,adopt step-by-step procedural teaching for breakthroughs in difficult points,and finally adopt systematic reinforcement to strengthen students The shortcomings.In this article,the theoretical basis and purpose of various training strategies are explained in turn,and the specific implementation process of the strategies is explained through examples.Finally,according to the three dimensions of the author’s ability to divide,control experiments are used to evaluate the effectiveness of strategy implementation.The last chapter of the main text makes an introspection and conclusion of the entire research process,research results,and gives the prospect for improvement. |