Research On Ellipse Learning Disabilities And Coping Strategies Of Senior High School Students

Conic is one of the important contents of mathematics course in senior high school.It is an important part of plane analytic geometry.Its main content is to transform geometric problems into algebraic problems.As the first kind of conic,ellipse is not only another example of studying curve and equation by analytic method,but also the starting point of studying hyperbola and parabola.The learning of ellipse embodies the important idea of the combination of function,equation and figure,which is the most important part of conic.So in the learning process of ellipse,what are the specific learning obstacles? How to deal with these obstacles as a teacher? In this paper,through the exploration and analysis of the obstacles existing in the learning of ellipse for senior high school students,the author tries to find a teaching scheme that is conducive to removing learning obstacles.This paper combines the literature method,the questionnaire method and the classroom observation method,takes 206 students in grade two of Harbin No,Combined with the data of the questionnaire,it is concluded that there are mainly the following obstacles in the learning ellipse process of high school students:1.Definition of ellipse: unable to remember,understand and apply;2.Elliptic standard equation: unclear understanding of letter relationship and neglect of focus position3.Simple geometric properties of ellipse: inaccurate formula memory and poor understanding of common sense knowledge4.The students are lack of computing ability and skill;5.The mathematical thought and method can't understand clearly,and can't realize the mutual transformation between number and geometry,equation and curve accurately.The main causes of elliptical learning disorder of senior high school students include internal factors and external factors,among which external factors are teachers' factors and internal factors are students' own factors,including poor metacognitive ability of senior high school students,difficulty in memorizing formula of senior highschool students,habitual misconceptions of senior high school students,weak thinking ability of senior high school students,lack of interest and confidence in learning,poor learning habits and attitudes And so on.Based on the above analysis of ellipse learning disabilities and their attribution,the following educational implications are obtained:1.Teachers should pay attention to students' emotion and learning attitude,stimulate students' interest in learning,cultivate their self-confidence,and help students overcome the fear of difficulties in learning ellipse.2.In the normal class and exercise class,standardize the students' problem-solving process,improve the accuracy of calculation,accumulate the simplified method of calculation together with teachers and students,and cultivate good habit of calculation.3.Teachers should deeply penetrate the above mathematical thoughts and methods in ordinary teaching,and take training measures for the characteristics of different thoughts and methods.4.Teachers should emphasize the generation process of elliptical basic knowledge,pay attention to the principle,make students follow the cognitive law of spiral rise,firmly grasp the basic knowledge,and make reasonable use of it.5.It is necessary to cultivate students' good learning attitude and habits,make students clear their learning objectives,make corresponding learning plans,cultivate students' habits of using notebooks and error books well,preview carefully before class,improve the efficiency of class,review carefully after class,improve the level of metacognition,and improve students' independent learning ability step by step.