일차방정식 해결과정에서의 오류교정에 관한 연구

Abstract

This study investigated and analyzed error related data among the existing research data related to the contents of linear expressions and equations. Errors made in the problem solving process were investigated based on the investigated data to classify the types of errors based on mathematical concepts. First, in the question for the distinction between a linear expression and a linear equation, there was an error of confusing the question of simplifying the linear expression and the problem of calculating the solution of the linear equation. Second, in the question for the solution of a linear equation, there was an error of multiplying only the terms with fractional coefficients by the least common multiple and not the constant term. Third, in the process of solving a linear equation using transposition, there were a type of error that did not change the sign and that involved calculation mistakes. Fourth, in the process of expanding a linear expression using the distributive law, there was an error of multiplying only the x term by the factor and not the constant term. Fifth, there were types of errors made by those who did not understand that multiplying a number by 0 results in 0 and could not solve a linear equation and those who did not understand that there is no solution for a linear equation in the form of . Sixth, in the descriptive question, the subjects successfully constructed a simultaneous linear equation using unknowns, x and y, however, made an error of presenting the x value as an answer while the y value was the answer required by the problem. There was also a type of error where the subject constructed one equation successfully but failed with the other equation in the process of constructing a simultaneous linear equation.