Investigation And Research On The Status Of High School Students' Geometric Probability Model Learning

As the new curriculum standard,geometric models of probability is the compulsory content of high school mathematics,it not only improve the probabilistic knowledge structure of high school,but also cultivates student`s core quality of mathematics.In addition,geometric generics have a rich life background,which is conducive to decision-making in life,which reflects the application value of mathematics.Geometric probability looks simple,but it is due to its infinity,the living nature of the background and the particularity of the location(at the intersection of knowledge),all kinds of intelligence are required.Therefore,students are easy to indigestion in understanding,and easy to use myocardial infarction in application.So,under the concept of core literacy,how is the present high school students` geometric model learning? Whether there is an obstacle,are obstacles common or individual,what is the cause of the obstacles in learning,how to overcome the obstacles,so,better teaching and learning,that`s what we need to study.This paper through questionnaires,test papers and interviews: 1.to understand the student`s interest,attitude,habit and self-efficacy in the geometric generalization;2.what problems do students have when they learn about the geometric models of probability? Classify the problems of the students and analyze the reasons for the geometric probability of learning disabilities;3.In view of the existing problems and the causes of obstacles,the suggestions to overcome the corresponding obstacles are put forward from the ecological factors of teaching.This study shows that there is a common phenomenon of ?understand but can`t apply? in high school students` geometric model learning,cognitive level is not high.Especially for middle and lower class students,there are many problems in solving geometric probability problems,such as model identification errors,measurement selection class errors,formula application errors and mathematical operation errors.Through the analysis of the problem,the student`s learning disability is roughly classified as: mental disorder,cognitive impairment,operation obstacle and environmental obstacle.Finally,through the analysis of the reasons for the obstacles,it puts forward some pertinent teaching and learning suggestions to overcome the corresponding obstacles.