An Empirical Study Of Sixth-grade Students' Score Calculation Errors

Fractional operation plays an important role in the transition of elementary school to junior middle school.It marks the expansion of students' computing level from natural Numbers to rational Numbers.The algorithms and computing power are basic knowledge and basic skills that students must master.It is very important for students to solve practical problems and study ratio problem in the future.The ACT-R theory divides knowledge into declarative knowledge and procedural knowledge,while the acquisition of procedural knowledge marks the completion of cognitive activities.In this study,students were tested in a timely manner after the addition and subtraction of fractions,the multiplication of fractions and the division of fractions.The research tool is the corresponding test topic for each class.Timely find out the students' calculation errors,and then design targeted questions to conduct individual interviews with students to understand the students' erroneous ideas.Then analyze the error,find the cause of the error,and find out how to correct it.The conclusions are:1.The fraction arithmetic is simple,but once students form their own misconceptions,it is hard to change,and the same mistakes are repeated.2.The error of fractional addition and subtraction is mainly concentrated in the common denominator and the final simplification.The reason is that students can't understand the concept of the common multiple and the least common multiple,and the reasons for the simplification of fractions are more diverse,there are errors of omission,and there are also knowledge errors.3.In addition,the error rate of the problem with the mixed number is higher,and the error rate is higher.The division error of fraction is obviously positive correlation with the error of fractional multiplication.4.According to the wrong reasons and the ACT-R theory,the correction strategy is proposed from the perspective of teaching and students.Teachers should pay attention to the teaching method and pay attention to the cultivation of the ability of the students want to make good study habits,the basic formula of law after improving skills through training,and receive feedback in time.