earticle

영어

The purpose of this study is to examine that high school students recognize mathematical situation when they are requested for changing same mathematical situation into different situation, and to find the cause of nonrecognition if they cannot identify it. The results of the study are followings. First, percentage of correct answers to the questions of turning equal mathematical situation into function is higher than the one of turning equal mathematical situation into equation and inequality. And percentage of correct answers to the questions of relation between linear equation, linear inequality and function is lower than the one of relation between quadratic equation, quadratic inequality and function. As a result of individual interview for comprehensibility of the students on these relations , it is found that if degree goes up and there is different expressions of questionaries although mathematical situation is identical, it affects comprehensibility of the subjects. Second, the students who are acquainted with mechanical calculation have difficulty in solving subjective questions such as drawing graphs. It is found that they cannot understand identical mathematical situation because they have trouble in drawing graph or applying to get the answer while many students understand a point of intersection on the graph as correct answer. Third, as a result of individual interview for comprehensibility of the students on relation between equation, inequality and function the students, it is found that they manage to get correct answer even without perfect comprehensibility on this relation. And there are the students who comprehend these relations after they solved the problem in which they made errors in the process of calculating or they failed to completing graph.