The Investigation Of The Junior Middle School Students Reading Comprehension Of Geometric Proofs Level

Geometry is an important branch of mathematics,it is also one of the main content of the junior middle school mathematics curriculum.For a long time,the geometry curriculum reform is the most attention in the mathematics curriculum standard reform one of the problems,and the focus of the geometry curriculum reform is the teaching of geometric proof,this is the difficulty in the teaching.The current understanding of geometric proof of empirical research,mainly concentrated in the student's response to problems to prove and students on the basis of teachers and their own views on the choice of different proof methods,this article is through the reading comprehension of geometric proof this Angle to study such issues,find problems of students in geometric proof reading comprehension,and put forward the corresponding teaching suggestions.Based on geometric proof reading comprehension model of kai-lin Yang professor,students' geometry proof reading comprehension is divided into four levels,namely the surface level of understanding,identify elements level of understanding,understanding level and the comprehensive understanding level series element,and according to the various levels of the standard,test questionnaire,through the statistics and analysis the result of the second day of the students' questionnaires,the following conclusions:1.The students' present level decline trend geometric proof reading comprehension level.2.The students understanding of the geometry knowledge mostly stay in the understanding of instrumental,only a few students understanding knowledge can achieve relational.3.The students in the geometric proof reading comprehension mainly include the following problems:(1)The students ability of the topic needs to be strengthened,only know expressly stated in the title of the known conditions,rather than the connotative condition,there is a leak problem.(2)In the study of basic concept and theory of the geometrical often stay on the surface,when applied to reasoning and judgement theorem proved tend to ignore the conditions of its founding,the student to the existing geometric theorem and lack the necessary relationship between axioms.(3)The logic to prove that often do not follow the rules.Circular reasoning and argument with no clear judgment,the premise is not clear;Set questions in the general case as a special case to handle,tick thesis;Use yet prove argument to prove that thesis,the false arguments mistake,as a lack of sufficient reason logic errors.(4)Written proof,incomplete and will not put on combined into a complete proof of reasoning process.4.In view of the problems found during the study,teachers are given the following suggestions:(1)to strengthen the teaching of basic geometric graphics;(2)to strengthen the cultivation of the students the topic,knowledge chart and construction;(3)pay attention to the cultivation of student's logical thinking ability;(4)strengthen the teaching of geometric proof process writing standards.