The Continuous Research on Mathematical Attainment at Primary School Level

本研究是国际数学娱乐项目（IPMA）的一部分。我们监测了小学第一年的儿童的数学进展，并研究了影响进步的各种因素。在日本，总共有八所不同的公立学校同意参加这个项目。我们要求所有两个以上的孩子（第一个以上的孩子：大约500个孩子，第二个以上的孩子），他们的教室教师从这些学校进入，并从1999年起进行了六年的数学娱乐测试。我们开发了这些测试，将IPMA翻译成日语的英语测试，而不是将数学内容转换为数字、操作等。作为分析的结果，我们找到了以下内容：·在较低级别的数学教学和学习相对有效。在较高的水平，高级内容的数学娱乐并不是很好。应该在教学和学习的高级内容中产生更多的效果。通过比较高级内容的数学娱乐，我们可以在学校和教室之间找到有意义的差异。莫弗，我们可以考虑对数学娱乐的评估，通过衡量日本水泵与新加坡的水泵的性能进行比较。

This study is a part of the International Project on Mathematical Attainment (IPMA). We monitored the mathematical progress of children from the first year of compulsory schooling throughout primary school and studied the various factors that affect the progress. In Japan, the total of eight different public schools have agreed to participate in this project. We asked all two-cohort children (1st cohort : about 500 children, 2nd cohort : about 440 children) and their classroom teachers from these schools to be involved and to take mathematical attainment tests for six years since 1999. We developed these tests by translating English tests of IPMA into Japanese without changing the mathematical essence such as numbers, operations and so on.As a result of analysis, we found out the following :・The teaching and learning of mathematics at the lower grades was relatively effective.・At the higher grades, the mathematical attainment of advanced contents was not so good. More efforts should be made in the teaching and learning of advanced contents.By comparing the mathematical attainment of advanced contents, we could find the conspicuous differences between schools and between classrooms. Moreover, we could consider upon the evaluation about the mathematical attainment by means of comparing the performance of Japanese pupils with that of pupils in Singapore.