공변 추론과 조작적 사고

Abstract

In this study, two surveys were conducted (first: 108 people, second: 94 people) for middle school students in order to investigate the ways of thinking in understanding graphs, and the results are as follows. First, many middle school students tend not to coordinate the coordinate system in the process of solving the task of interpreting and constructing direct and inverse proportion graphs. Second, middle school students showed the characteristic of drawing straight lines using points rather than a slope in the process of solving the task of interpreting and constructing a direct proportional graph. Third, some middle school students verbally express the inverse proportional relationship between two variables and translate it into a straight line. Fourth, many middle school students showed a pattern of figurative thought rather than operative thought in the process of understanding the direct proportion graph. The analysis results of this study suggest that it is necessary to expand learning opportunities for the development of covariational reasoning and operative thought in the middle school teaching and learning process.