A Study On The Cognitive Level Of High School Students' Learning Probability

Probability plays a very important role in middle school mathematics.With the deepening of the curriculum reform,the examination of probability knowledge and models has also become a hot topic in the college entrance examination.Students do not pay special attention to the study of probability.With the increase of learning content,high school students have different degrees of doubt about different models of probability.Therefore,in high school mathematics learning whic occupies an important position.Certainresearch significance.This article is mainly guided by the theory of SOLO classification,with research focus on probability cognition level of high school students.Through a questionnaire survey of 178 students in a middle school in Fujian Province,the cognitive level of probability knowledge of high school students is analyzed.The data analysis leads to the following conclusions:(1)About 41.48% of high school students' knowledge of probability knowledge is at the level of multi-structure,about 24.72% of high school students are at the level of single structure,about 16.47% of high school students are at the level of related structure,and about10.80% When solving probability problems,high school students are able to solve novel problems,be good at linking with other knowledge,and reach an expanded level of abstraction.However,6.53% of students have a serious deviation in the understanding of probability knowledge,which is at the pre-structural level.(2)For the study of probability,most students need to be strengthened.It is mainly reflected in the identification of probability models and the application of probability formulas.The basic knowledge is not solid,and the connection between probability and other knowledge is not flexible.According to the conclusions of the study,this article gives two examples of "random events" and "classical probabilities" in the high school probability section as an example,in order to apply the conclusions to teaching practice,and gives some for middle school mathematics teachers to use in probability teaching.Suggestions for reference:(1)Establish a variety of mathematics activities inside and outside the classroom topromote students to experience the process of generating probability and statistics knowledge(2)Pay attention to the essential teaching of probability knowledge,and improve students' core literacy in mathematical operations(3)Make good use of life situations,take students as the main body of modeling,and improve the core literacy level of mathematical modeling.