The Study On The Teaching And Learning Based On The Cognitive Level Ofstatistical And Probability Of Junior High School Students

Ordinary junior middle school mathematics curriculum standard To statistics and probability teaching as a separate plates, and learned in junior high school of the arrangement of teaching hours, suggesting a new round curriculum reform emphasis on statistics and probability Statistics and probability on the arrangement of the contents of a greater emphasis on math originates from life, above life In the face of this situation, the research junior middle school students in the class changes after statistical probability knowledge is how to learn, to the ongoing curriculum reform and teachers improving teaching methods have certain practice basis, is the study of meaningThis paper mainly studies the statistical probability knowledge in junior high school students cognitive and obstacles existing in the learning process, adopt the method of test paper test for junior high school, statistics and probability to cover all the knowledge of the investigation Section contains basic statistics, data collection,said three dimension data analysis and decision; Identify probability knowledge divided into random event, such as possibility size, frequency and probability, four dimensions of classical probability research in order to be able to cover the junior high school all the knowledge, select the cross middle schools of various levels of 279 students, through the analysis of the test detail meticulous and classified, real class changes after students statistical probability knowledge to understand and master the situation According to the student answer to test, I mainly do the following work:1. SOLO as theoretical basis, for each test to determine the correct SOLO highest level, then the students answer corresponding level analysis, using SPSS19.0 software to analyze the overall level, it is concluded that the statistical probability knowledge in junior high school students cognitive level of the status quo(1)Students’ cognitive status of the sampling concept is good, most of the students to understand the concept of overall, sample, sample size is good, the individual concept is a bit poor; Variance of the cognitive condition is bad, in the face of no specific Numbers a set of data, many students don’t know how to think, or, I don’t know use letters instead of Numbers, is a minimum degree of completion test question;Identify recognition of random events in good condition.Students’ awareness of the three representative data condition is good, the understanding of the modal is best, the median times, average again; Perceptions ofthe data analysis and decision is better; On a bar chart and fan-shaped statistical figure into cognitive status.Students grasp better comparing possibility size; For complex cases enumerated all the result of the equal opportunity and calculate the probability of the cognitive situation optimistic than imagination; Master for the understanding of the frequency estimate probability condition is not particularly good; For complex cases with probability judgment game fairness perceptions.Through the analysis of the data processing, the establishment of a junior high school students statistical probability thinking framework, found that the main problems in the process of practical learning and puts forward the following Suggestions:(1) pay attention to the basic concept of compaction.(2) strengthening the proportion in the statistical learning thought through.(3) multimedia auxiliary data processing and the establishment of random thoughts.(4) strengthen the number form combining ideas and the use of the idea of probability model.