구체적 조작물을 이용한 도형 프로그램이 아동의 문제 해결력, 수학적 자기효능감, 수학불안에 미치는 효과를 알아보기 위한 분석적 연구
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The goal of this study is to find out how the concrete-object-manipulation education program can improve the children`s mathematical ability by way of action research experimentation. The main problems to resolve in this study are as follows: First, how much effect can the participation to figure-education program make on the ability in solving figure problem? Second, how much effect can the participation to figure-education program make on the mathematical self-efficiency? Third, how much effect can the participation to figure-education program make on decreasing the fear of mathematics? Fourth, are there the any relationships among the children`s problem solving ability, mathematical self-efficiency and the fear of mathematics? The objectives of this study were the 3rd, 4th and 5th graders of elementary school(located in AnYang, KyoungGi province) and the subjects were all 519. To verify the result of this study, we used several tests such as problem-solving test, mathematical self-efficiency test and the test of fear of mathematics. And the author administered above three tests before and after the figure-education program, to measure how much the program make effect on the improvement of problem-solving ability to identify the changes before-after experimentation. To analyze the result in statistically and to verify the differences, we use t-test, ANCOVA, Paired t-test and correlation test. The summation of the results of this study are as follows: First, after participating figure-education program, the experimental group got significantly higher points at geometry test than comparison group in every 3rd, 4th and 5th graders. Second, after participating figure-education program, the experimental group got significantly higher point at mathematical self-efficiency test than comparison group in every 3rd, 4th and 5th graders. Third, after participating figure-education program, the experiment group showed significantly less fear of mathematics than comparison group in every 3rd, 4th and 5th graders. Based on the result and the statistical verification, we can conclude that figure-education program can improve the mathematical self-efficiency, lessen the fear of mathematics and improve the problem-solving ability at figures, thus it can help children develop concept about figures efficiently.