Common Errors And Solutions Of "Fractional Mixed Operation" In Primary School Students

Mathematics operation ability is a tool for students to understand and explore the world of mathematics,and it is a vital part of the eight core qualities of elementary school mathematics.In primary school," four mixed operations " is one of the important ways to cultivate students' operational ability.In the process of correcting a large number of homework and examination papers,the author finds that the error rate is high and the error types are various in the process of learning mixed operation,especially "fractional mixed operation ".The famous cognitive psychologist Piaget thinks that "mistakes are indispensable to meaningful learning ",and failure is the mother of success.The author hopes to find out by classifying and analyzing the common errors of " fractional mixed operation " in primary school students.This paper studies the common errors of "fractional mixed operation" in primary school students by means of literature research,text analysis and interview.It is concluded that the common errors in the learning process of "fractional mixed operation" of primary school students can be roughly divided into two broad categories,one is unclear errors,including seven aspects: aspects: one is the error of general division and approximate division;the other is the error of using operation law;the third is the error of solving equation;the fourth is the error of operation order;the fifth is the error of using division fractional calculation law;and the sixth is the error of intermingling integers,fractions,decimals and percentages.The second is learning habits mistakes,including three aspects: one is careless mistakes;the other is the answer is not the simplest mistakes Error;third,incomplete calculation error.Based on data analysis and field interviews The author attributed the errors from the two angles of teachers and students.The reasons for the high error rate are the negative transfer of knowledge at the student level,the unclear calculation,the fixed thinking and the imperfect perception.The overtraining of teacher level leads to the students' " thinking stereotype ",the lack of attention to "reason" and the lack of training of students' mathematical thinking,etc.Finally,on the basis of classifying and attributing the common errors of "fractional mixed operation ",the author gives some countermeasures to solve the common mistakes in the process of learning " fractional mixed operation ",including the following eight aspects: first,cultivating students' good study habits;second,establishing "wrong set" and taking good "error-correcting lesson ";third,overcoming negative transfer of knowledge;fourth,treating them with " appreciation ";fifth,deepening the "rational" solution;sixth,strengthening thinking.Seventh,strengthen the training of thinking,overcome the fixed thinking;Eighth,strengthen the right the cultivation of number sense.