| As is well-known to all,the college entrance examination results are regarded as the standard for the selection of talents in universities and colleges at present,in which mathematics is one of the most important subjects.Accounting for 11% of the math scores,the probability of scores has always been a battleground for students to get high marks.But the probability of learning is not easy for high school students.Because students’ probability of random thinking is affected by the long-term acceptance of the deterministic thinking,many high school students feel helpless to the probabilistic natural problem when they learn the probability.This problem is extremely obvious for Sports and Art students,who couldn’t spend much time in studying the probability and less academic foundation.It is not difficult to find that their grades on the probabilities are very low,and even scored in zero.Where their mistakes are,and what causes them to make such a mistake are problems that we urgently need to solve.Based on the above phenomenon,the author uses the literature analysis method,the investigation method,the interview method,the text analysis method and the contrast method,analyze the results of the students’ post-class assignments and the ordinary papers,and refer to the teaching materials Paper information,etc.to find out the typical mistakes and prepare the test paper and questionnaires.The test object is Zhaoqing Dinghu Middle School 81 students and 50 non-art students.The author mainly did the following aspects: First of all,sort out the data according to the students on the test volume and the questionnaire and classify the errors in students;Second,make in-depth interviews to part of the physical arts students;Finally,contrast the probability of learning between the physical art and non-art students and concluded that the students make the following typical mistakes in the process of learning probabilistic:1.In the process of learning random events,it is possible for most of the students to confuse the event with probability zero,the confusion of frequency and probability,the mutual exclusion of events and the confusion of independent events,and the probability confusion of conditional probability and product event.2.During the period of learning the classical model,the students may be serious deviation phenomenon.Part of the students abuse permutations and combinations of basic events.3.In the course of geometric proficiency,some students are confused with the classical probability model,and choose geometry scheme measure by mistake.4.In the learning process of the random variables and their distribution,the students are confused with the two distributions and the hypergeometric distribution,and most of the students have the phenomenon of using the mathematical expectation and variance.In particular,for the distribution of random variables,the students have difficulties in calculating,even cannot correctly calculate the probability of each random variable.Combined with the interviews of the students and the analysis of questionnaire data,the author found there were five causes of the typical mistakes: namely knowledge error,strategic errors,logical errors,calculation errors and psychological error.Among them,the students have more errors in knowledge and calculation.According to the conclusion of this paper,the author puts forward some suggestions to avoid these mistakes: first,teacher should strengthen the training of many text contents,to strengthen the topic consciousness of students;encourage students to calculate more frequently,strengthen the cultivation of operational capacity.Second,the revision of the Mathematics textbook should properly increase the reading materials and class hours of independent events.Last,the continuing researcher should select more sports and art students as the object of investigation,in order to make sure the research conclusion is more universal. |