Research On Effective Learning Of Plane Analytic Geometry For Senior High School Students

Improving the learning efficiency of high school students is one of the important goals of the current curriculum reform.In terms of the current high school mathematics learning,there are many inefficient or invalid phenomena.So what measures can be taken to improve the learning efficiency of high school students? This paper takes plane analytic geometry as an example to study.This research adopts the methods of literature research,questionnaire survey,interview and case analysis,and refers to the domestic research papers on effective learning.Based on the high school mathematics,this paper improves the teaching methods combined with its own teaching practice,so as to improve the efficiency of students' learning mathematics.Focusing on the long-term development of students,how teachers and students should do in order to achieve real effectiveness is a subject worthy of thinking and exploration.Based on the plane analytic geometry as the carrier,combined with the teaching practice cases,this paper puts forward some methods,such as paying attention to the diversification of teaching objectives,improving the effectiveness of classroom questioning,improving the effectiveness of group cooperation,and exploring the autonomy of learning methods;Through consulting the data and statistics of the survey results,the author thinks that the factors influencing students' effective learning of plane analytic geometry can be divided into the following aspects:1.The characteristics of one's own psychological stage.The turning point of the psychological change of senior one students is the beginning of the transformation of abstract thinking from perceptual to rational;the abstract thinking of senior two students has reached a mature period in theory,which should be strengthened and improved in the appropriate training.2.The knowledge structure of plane analytic geometry.Core concept command;Abstracting mathematical concepts from problem situations;Using multiple representations to express concepts;Keep concepts in mind and analyze the relationship between them.3.The influence of teachers' effective teaching strategies.We should avoid paying too much attention to students' achievements and neglecting the cultivation and improvement of students' ability;we should avoid falling into the study of difficult problems and neglecting the cultivation of students' effective learning;we should avoid neglecting the important role of coordinate method in analytic geometry.4.The influence of students' psychological barriers.Teachers' backward teaching methods and teaching ideas aggravate students' psychological barriers;too much emphasis on test scores,scores can not be improved in a short time,so that students lose the enthusiasm of learning;the influence of their own quality and family environment.Through the investigation and Research on the effective learning of plane analytic geometry of high school students,in order to improve the learning efficiency of students,the following four countermeasures are found:1.Improve the learning motivation strategy of plane analytic geometry.2.Promote the understanding and application of basic concepts.Abstract mathematical concepts from problem situations;Express concepts with multiple representations;keep concepts in mind and analyze the relationship between concepts.3.Improve students' understanding of the basic ideas of analytic geometry.Plane analytic geometry should observe and analyze problems with geometric eyes,and solve problems with coordinate method;explore the implicit methods behind explicit knowledge;plane analytic geometry should use geometric knowledge to study algebraic problems;when learning other chapters,we should also strengthen the application of coordinate method.4.The strategy of training high school students' algebraic operation ability.Update the concept of operation,improve the operation ability step by step,master the law of operation;flexibly use the thinking method of combination of number and shape,replace operation as a whole,set without seeking;observe the algebraic structure,accumulate operation experience in solving problems,remember and apply common conclusions and formulas.Based on the effective learning of plane analytic geometry of high school students,this paper explores the ways to improve the effective learning,which has practical value and practical significance to enhance the efficiency of classroom and students' learning.