算数達成度に関する継続的調査研究(V) : 第1児童集団の高学年段階における達成度

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The continuous research on mathematical attainment is a part of the International Project on Mathematical Attainment (IPMA) in which such countries as Brazil, Czech Republic, England, Hungary, The Netherlands, Ireland, Japan, Poland, Russia, Singapore and USA are participated. The aim of this project is to monitor the mathematical progress of children from the first year of compulsory schooling throughout primary school and to study the various factors which affect that progress, with the ultimate aim of making recommendations at an international level for good practice in the teaching and learning of mathematics. In Japan, the total of eight different public primary schools have agreed to participate in the project. We asked all two-cohort children and their classroom teachers from these schools to be involved and to take mathematical attainment tests for six years. The purpose of this paper is to analyze the data of three tests, i.e. Test 5, Test 6(1) and Test 6(2) to investigate children's progress of mathematical attainment in order to find out some suggestions for improving the teaching and learning of mathematics at these primary schools. In our previous paper (Koyama et.al., 2002), according to the percentage of correct answer to each test item, we made such categories as high [H], medium [M] and low [L] attained items. We defined the fixity of mathematical attainment such that for three tests if a child's changing pattern of correct (1) or incorrect (0) on an item is [1→1→1] or [0→1→1] then the child's mathematical attainment on the item is fixed. As a result of analysis in terms of these categories and the fixity of mathematical attainment, we found out the following: ・There were three different types of [L→H], [L→M] and [L→L] from Test 5 to Test 6(1) based on the progress of each some test item in Test 5 which is learned at the fifth grade. ・There were five different types of [H→H], [M→H], [L→H], [L→M] and [L→L] from Test 6(1) to Test 6(2) based on the progress of each some test item in Test 6 which is learned at the sixth grade. ・We found that the three basic items in Test 6 which are learned at the fifth grade was fixed among children. These results suggest that the teaching and learning of mathematics at the fifth grade was partly effective and that more efforts should be made in the teaching and learning of contents such as area and volume, proportion and even and odd number.
全国数学教育学会の論文

算数達成度に関する継続的調査研究(V) : 第1児童集団の高学年段階における達成度

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