《有理数运算》中包含了四个典型案例，“学生运算错误原因”是其中的一个典

"Operation of Rational Numbers" contains four typical cases, "the reason of student's operation error" is one of the typical events. In rational number operation, the performance of students' operation errors is diverse, and the reasons for students' operation errors are also complex and diverse. How to classify students' errors and analyze the causes of different types of errors. The researchers and teachers had a full discussion. The content of the discussion included the shortcomings of teachers' empirical judgments? Is the researcher's theoretical judgment well targeted? How to conduct causal analysis with the help of the "big data" report of the technology platform? etc. During the discussion, there were many disagreements and doubts about the nature of the phenomenon between researchers and teachers. For example, according to the "big data" statistics obtained by the technology platform for students' mistakes in multiple assignments, the "error cause distribution overview map" found that "unclear concept" and "miscalculation" were the two most common causes of errors. However, through a series of studies (including studying scientific theories and interviews) on the appearance of "miscalculation", it was found that the reason behind the "miscalculation" in the mixed operation of rational numbers is more caused by "the algorithm or order confusion". . On the basis of gradually forming a certain consensus, researchers and teachers discussed and formed a new teaching design and implemented it.

"Rational number operation" contains four typical cases, "student operation error reason" is one of the typical events. In the operation of rational numbers, the performance of students' operation errors is diverse, and the causes of students' operation errors are also complex and diverse. How to classify students' errors and analyze the causes of different types of errors, researchers and teachers have a full discussion, including what are the shortcomings of teachers' empirical judgment? Are the researchers' theoretical judgments well targeted? How to analyze the causes with the help of the "big data" report of the technology platform? wait. During the discussion, there are many differences and doubts about the essence of the phenomenon between researchers and teachers. For example, according to the "big data" statistics obtained by the technology platform on the errors in students' multiple assignments, it is found that "unclear concept understanding" and "miscalculation" are the two reasons for the most errors. However, through a series of studies (including learning scientific theories and interviews) on the representation of "miscalculation", it is found that the reason behind "miscalculation" in the mixed operation of rational numbers is more caused by "confusion of algorithm or order". On the basis of gradually forming a certain consensus, researchers and teachers discuss and form a new teaching design and implement it.

There are four typical cases in Rational Number Operation, among which "the cause of students' operation errors" is one of the typical events. In rational number operation, students' operation errors are diversified, and the causes of students' operation errors are also complex and diverse. How to classify students' mistakes and analyze the causes of different kinds of mistakes at the same time, researchers and teachers have had a full discussion, including what are the shortcomings of teachers' empirical judgment? Is the researcher's theoretical judgment well targeted? How to analyze the cause with the help of "Big Data" report of technology platform? Wait a minute. During the discussion, there are many differences between researchers and teachers and doubts about the nature of phenomena. For example, according to the statistics of "Big Data" obtained by the technical platform for students' mistakes in many assignments, it is found that "unclear concept" and "miscalculation" are the two reasons for the most mistakes. However, through a series of studies (including studying scientific theories and interviews) on the appearance of "miscalculation", it is found that the reason behind "miscalculation" in the mixed operation of rational numbers is more caused by "algorithm or disorder of order". On the basis of gradually forming a certain consensus, researchers and teachers discussed together to form a new teaching design and put it into practice.