중⋅고등학생의 평행사변형과 마름모의 유사성과 차이에 대한 인식 분석

Abstract

In this study, the perception of the resemblance and difference between the parallelogram and rhombus of middle and high school students was analyzed. To this end, a test tool was developed, a total of 191 middle and high school students were tested, and some students were interviewed. The results of the study are as follows. In common with resemblances and differences, the response rate to the type of parallelogram and rhombus was the highest, and the quantitative response rate such as length was the lowest. In the case of resemblances, first, the response rate was high in the order of the definition of parallelogram and rhombus, the edge and angle, and the lower value of the diagonal. Second, the response rate from the perspective of transformation was relatively lowest. Third, in general, female students responded based on quantitative information based on the shape of the figure, and male students responded based on the definition of parallelogram and rhombus. Fourth, in the case of manipulation, there was no difference between male and female students in frequency and ratio, but it increased as the grade went up. In the case of differences, the response rate to the length of the diagonal was higher than that of the overall length. However, there was no response to diagonals relating to the properties of parallelogram and rhombus.