Research On The Development Of Senior High School Students' Ellipse Cognitive Level

Ellipse is a necessary part of high school mathematics.As the three conic curves,ellipse has attracted much attention.However,these "concerns" mainly focus on solving all kinds of problems of ellipse.There is less research on students'cognitive level of ellipse,and there is less research on further exploring the development of students'cognitive level of ellipse.Therefore,this paper takes senior two students as the research object,through the construction of the test framework of students'elliptical cognitive level,explores the development of students'elliptical cognitive level,in order to find the development law of students'elliptical cognitive level,and help teachers improve teaching.First of all,by combing the existing cognitive level test framework,analyzing its advantages and disadvantages,combined with the existing articles on mathematical cognitive level test,this paper constructs the elliptical cognitive level test framework,and then combined with the college entrance examination questions in recent eight years,forms the question bank,and formulates the elliptical cognitive level test paper and scoring scheme.Secondly,the test paper will be pre tested for class Z1 of senior three in a key middle school in Sichuan Province,and the test paper will be revised.The revised test paper will be pre tested for class Z2 of the same grade for the second time to verify whether the revised test paper is qualified.After passing the examination paper,the paper is tracked and tested in class X1 of grade two in our school.The class is tested three times before,during and after learning ellipse to explore the development of students'cognitive level in the process of learning ellipse.Through the analysis of the data,the following research conclusions are obtained:(1)the development of calculation and analysis level is linear,and there are two levels The difference is that the computational level is in a higher position at the beginning,while the analytical level is in a lower position;(2)there is no significant difference between boys and girls in the cognitive level of ellipses in the process of learning ellipses;(3)the mathematics teachers in the test class have a more accurate grasp of the students'cognitive level of ellipses in each stage in the whole process of teaching ellipses;(4)the students'cognitive level of ellipses in the test class is relatively high Elliptical cognitive level test framework can accurately measure the changes of students'cognitive level.Finally,by combing the literature,establishing the framework and implementing the test,we found the development law of students' cognitive level in the process of learning ellipse,constructed a framework that can be used to test the teaching effect,and obtained the relevant conclusions of the development of senior high school students' cognitive level of ellipse.