A Study On The Learning Trajectory Of "angle Measurement" In Primary School Mathematics

"Preliminary understanding of Angle" and "Angle measurement" are important knowledge contents in primary school mathematics stage,and are the basic contents of geometry knowledge,but the Angle configuration is different from other geometry.Angle of content is an important part of the elementary school mathematics associated with junior middle school mathematics,this study rely on trajectory in study field of international education research,choose 3 ? 5 graders in the cognitive development of Angle measurement,the cross-sectional study,Through exploration and summary,we hope to develop the path of students' learning trajectory in Angle measurement.This research mainly explores the cognitive development process of students in Angle measurement learning in the way of empirical research,which belongs to the basic study of learning trajectory.This study is mainly carried out from the following aspects:1.Clear research questions,objectives,contents,ideas and methods;2.Analyze students' difficulties in learning Angle measurement and the course arrangement and arrangement of diagonal knowledge and Angle measurement in textbooks of various editions;3.Search and analyze literature to establish the model framework of learning trajectory;4.Establish a hypothetical learning trajectory of Angle measurement based on course standards,textbook content and Van Hiele's geometric thinking hierarchy theory combined with existing research;5.Rely on Rasch model theory and Winsteps software to develop and modify the test paper,through the process of pretest-modified-retest,in this process,the quality,reliability,validity,difficulty,project fitting degree and so on of the test paper are analyzed.6.According to the obtained data,analyze the students' learning track in the actual learning process of Angle measurement and the different performance of students of different grades.The main conclusions of this study are as follows: 1.The measurement tool developed has been tested by Rasch model and has a good quality level;2.2.The learning track of Angle measurement in primary school includes 5 levels and 15 levels,including Angle recognition,Angle measurement,zero Angle concept and Angle symbol.3.There is a big cognitive difference in the learning of Angle measurement among different grades.The cognitive level of fourth-grade students is slightly higher than that of third-grade students,while that of fifth-grade students is significantly higher than that of fourth-grade students.Finally,according to the specific situation of the test volume and the final learning trajectory,the Angle measurement of learning suggestions and teaching suggestions are proposed for students and teachers respectively.