Investigation And Research On The Status Quo Of Eighth Grade Students' Geometric Proof

Mathematics is mainly composed of two parts: geometry and algebra.Geometry has an irreplaceable role in cultivating students' logical reasoning ability.Relevant research shows that the eighth-grade students have lots of difficulties in learning the proof.The teaching of this part is the difficulty of geometric teaching and even the whole mathematics teaching.During the study,the author also found that students still have many problems in the study of geometry,and it is very serious.In 2011,the Compulsory Education Mathematics Curriculum Standards(2011 Edition)was promulgated,and the geometric part has been adjusted accordingly.So far,the curriculum reform has been nearly ten years.Therefore,the author investigates the current situation of students' geometric proof learning in order to test whether the effect of student learning and the quality of learning have improved or not,which analyze the results and give corresponding suggestions.It is hoped that the information basis for regulating learning strategies can be provided for student' learning,which can help teachers adjust teaching strategies.According to the Compulsory Education Mathematics Curriculum Standards(2011Edition),this paper conducted some test investigations,including giving students an understanding of the necessity of proof,the scientific grasp of the use of graphics and the degree of rigor of the certification process.According to the test results,combined with interviews,the status of students' geometric proof was summarized and analyzed.The main conclusions of this paper are as follows:1.Students have improved their understanding of the necessity of proof;2.The understanding of scientific grasp of the use of graphics is not enough;3.The rigor of proof procedure needs to be improved;(1)Students mistakenly use reasonable reasoning as proof;(2)The master of premise of deductive reasoning is not profound;(3)A small number of students are not scientific and rigorous enough to express basis of proof;(4)Paying attention to the normative nature of writing process;(5)The ability to choose a simple proof method needs to be improved.Finally,combined with the relevant literature and the problems of students,this paper puts forward relevant suggestions from the following aspects: to emphasize the importance of careful examination of questions;to distinguish the theorem,the conditions and conclusions of the definition;to strictly require the standardization of proof in teaching;to advocate the muti-solution of one problem and guide the students to consider the problem in many aspects;to strengthen the training of the conversion between mathematical language,graphic language and symbolic language;to be strictly required in drawing;and to pay attention to improving the quality of teaching.