Investigation And Research On The Application Status Of The Combination Of Number And Shape In The Teaching Of Mathematics In Senior Middle School

The combination of number and shape is the most important basic idea of mathematics,which runs through the entire high school mathematics teaching.The combination of numbers and shapes is a basic idea for the study of mathematical problems and the transformation of models to achieve problems.It is a way to combine abstract mathematical language,quantitative relationship with intuitive geometric figures and positional relations to solve mathematical problems.The application of the combination of number and shape in teaching can be divided into the teacher's infiltration in the pre-course teaching design and after-school tutoring and the application of the combination of numbers and shapes,as well as the combination of the mathematical and mathematical contexts in the classroom teaching;The application of the combination of numbers and shapes in the process of mathematics learning.Through the observation and observation of relevant literatures in the teaching,it is determined that there are three research problems in this thesis: What is the application status of the combination of number and shape in high school mathematics teaching? What are the factors that influence the combination of number and shape in mathematics teaching in high school? What are the strategies for applying the combination of numbers and shapes in high school mathematics teaching? Furthermore,two high school mathematics teachers and students in X County of Gannan Prefecture in Gansu Province were selected as the research object,and the research results and conclusions were obtained by consulting relevant literature,questionnaires,interviews,classroom observations and other methods.High school mathematics teachers generally attach importance to the combination of numbers and forms;students can't distinguish mathematical ideas and mathematical methods well,and the idea of combining numbers and forms does not pay enough attention;the main way for teachers to apply the idea of combining numbers and shapes in preschool design is infiltration.In the after-school tutoring,the frequency of applying the combination of numbers and shapes is higher and the effect is better.In the process of classroom teaching,the combination of the number and shape is simple and the communication is not ideal;the ability of students to apply the combination of numbers and shapes is obvious,the application is obvious.The consciousness is shallow,the grasp is not in place,the drawing is not accurate,the transformation process is not equivalent,and it is easy to ignore the objective conditions.There are many factors influencing the teacher's application of the combination of numbers and shapes,in addition to the teacher's own teaching experience,teaching philosophy,teaching methods and continuing education.In addition to factors such as interest attitudes,the mastery of textbooks,the ability to think,and the ability to draw graphics are more influential;the content and presentation of the combination of numbers and shapes is a factor that objectively affects the combination of teachers and students in the application of numbers and forms;Insufficient,the interest in mathematics is not strong,the foundation of mathematics is weak,etc.Concept of factors still exist,but students algebraic thinking and cognitive geometry,composition capability,combined with the number of valid form of consciousness is the main factor affecting its application.