Research On The Academic Achievement Evaluation Of Junior High School Students In The Study Of Plane Geometry Theorem ——Take The Study Of Parallelogram Properties And Judgment Theorem As An Example

Academic achievement evaluation is a hot topic of research by scholars at home and abroad in recent years.Mathematical theorem is an important part of the mathematical knowledge system.But so far there is no framework to measure academic achievement of mathematical theorem learning.Combining the evaluation framework of academic achievement at home and abroad and the learning characteristics of mathematical theorems,this research selects plane geometry theorems with many mathematical theorems,and proposes an evaluation framework for academic achievement in the study of plane geometry theorems from the three dimensions of understanding,connection and application.Assessment of academic achievement in the properties of parallelograms and the determination theorem.This thesis takes 199 students from a general junior high school in N City as the research object.Through quantitative research and qualitative research,from the three dimensions of theorem understanding,connection and application,the students' learning situation of parallelogram properties and judgment theorem is evaluated.Evaluate the learning situation,analyze the correlation between the three dimensions,study the students' learning disabilities and causes in the properties of the parallelogram and the judgment theorem,and draw the following conclusions:The overall performance of the students is unsatisfactory,barely qualified but still far from excellent.The performances of the three dimensions of understanding,connection and application are different but also in line with the characteristics of their respective dimensions.Among the three dimensions,students' performance is the most prominent in the application dimension.At the same time,students' solving practical problems is slightly better than mathematical problems,and they are basically in the same state.Regarding the expression of the theorem,although the theorem is simply expressed in the written language and the symbolic language,there are still some students who make various mistakes,especially the expression of the symbolic language also has some language irregularities.Proving theorems is difficult for the vast majority of students,and most students do not have the awareness of the way of thinking in the process of learning.The last is the connection of theorems.Since the concept map is the first time students come into contact with,it is found that the concept maps drawn by many students are not perfect.Most of them can combine the knowledge of parallelograms with rectangles,diamonds,squares,etc.Knowledge connection,a small number of students can also connect with content outside this chapter,such as the Pythagorean theorem,the properties of parallel lines,etc.For the correlation analysis,the research shows that there is a close correlation between the understanding,connection and application of the theorem,and there is a certain correlation with the students' midterm test scores.Students learning the properties of parallelograms and the judgment theorem mainly have comprehension obstacles,transformation obstacles,connection obstacles,extraction obstacles and affective obstacles.The main reasons for these obstacles are:insufficient cognitive ability,weak subjective initiative and objective conditions influence.In addition,this thesis also provides guidance for teachers' teaching and students' learning.