Research On Typical Errors And Strategies Of Junior Middle School Students' Geometric Proof

Logical reasoning is one of the important core literacy of mathematics,geometric proof is an important means to cultivate students' logical reasoning ability.At present,junior middle school students have different kinds of errors in geometric proof.In order to understand the learning situation of geometric proof of junior high school students.Based on the typical errors of geometric proof of junior high school students,the factors that affect the geometric proof of junior middle school students and the effective countermeasures of junior middle school students' geometric proof ability,this paper adopts the method of literature,investigation and observation to carry on the geometric proof ability of junior high school students the study.The results show that there are four typical errors in the geometric proof of junior high school students: 1.Knowledge errors are mainly manifested in the students' misunderstanding of geometric concepts and theorems,and thus prove the mistakes.2.Skills errors,mainly in the students due to trial questions,mapping,mapping ability,resulting in proof of the error.3.Logical errors,mainly in the cycle of argument and the concept of stolen.4.Expressive statements,mainly in the student language conversion is not in place,can not accurately text language with mathematical language to express,there can not be standardized writing proof process.The factors that affect the geometric proof of junior high school students are mainly teachers,students,teaching materials and other three factors.According to the survey results,The following measures are put forward: 1.To strengthen the learning of geometric concepts and theorem;2.To strengthen the training of multiple solutions;3.To strengthen the conversion training between geometric languages;4.To strengthen the training of logical reasoning ability;5.Strengthen the students to do the habit of training.