Research On Typical Mistakes Of Senior High School Students' Probability Learning And Attribution

With the advance of the new curriculum reform,as the new content of high-school mathematics, probability has been drawn more and more attentions.However,Because it has short implementing time so that probability of educational research is lagging behind in teaching,It still has a lot of problems in Senior high school students'probability learning.This research tries to find out typical mistakes in students' probability learning and theirs reasons to reflect current situation of high school probability teaching,with a view to teaching and in-service training of high school math teacher, revise of teaching materialr to provide some references.The focus of this study is that Senior 3 science students make some typical mistakes and theirs reasons After completion of high-school probability learning.Based on the documents analysis, classroom observation and the wrong in students' homework,The author finds mistakes and work out the test questions reference to relevant data.Taking 268 students of three different levels schools in Chongqing,Henan,Shandong as samples,a test is carried out.Then by means of the result of the test and students interview,The attributive analysis process aiming at typical mistakes in students' probability learning.Investigation results showed that typical mistakes in students' probability learning as follows:1.Most of the students in learning frequency interpretation of probability are easy to confuse frequency and probability,not a very good understanding for frequency interpretation of probability.2.Equiprobable Bias is less for majority students,but a small number of students still exist. However,quite a number of students confuse some conditions of title in Classical Probability Model, such as order and disorder.3.Students often confuse some concepts and some conditions of title on learning Exclusive Events and Independent Events,such as Mutual Exclusion and Opposition,Mutual Exclusion and Independence,order and disorder,no replacement and replacement,occurs k times and k times has occured and so on..4.Study on random variables of the selective module find that quite a number of students can not correctly understand the meaning of random variables.In solving practical problems,many students easily confuse Expected Value and Variance because of not-understanding their actual meaning.Some analysis of the above mistakes show from the point of view of students ' cognitive structure:Types of errors mostly belong to the knowledge-typed mistakes and strategical mistakes,the former is due to concept confusion and vague concept,the latter is attributed to the one-sidedness of understanding title,missing Special Conditions and neglecting implied conditions in solving these problems so as to cause none-identified right mathematical model.Certainly,there are still some types of errors that belong to logical mistakes and psychology mistakes.Based on the above research conclusions,the author puts forward some related proposals for probability teaching,teacher training and reviseing of teaching materials.