Comparative Study on Pupils' Progress of Mathematical Ability

本研究基于KassEx项目，旨在对不同国家的数学教学和学习进行研究，并最终提出帮助学生发挥数学潜力的良好做法。本研究的一个主要特点是历时两年，调查了初中生的数学潜能和数学内容获得情况，在日本实施了由KassEx项目开发的潜能测验、数字测验和形状空间测验，并对结果进行了分析。本研究的主要结果表明：（1）日本小学生在各项测验中的成绩均优于英格兰、苏格兰和德国。这一结果表明了日本数学教育的有效性。(2)潜力测验的分数在日本和其他国家之间差别不大。值得注意的是，各国的教学内容和教学方法的差异并不影响潜能测试的结果。(3)在日本，一些最差的问题反映了与问题相关的主题尚未被日本的课程所涵盖。(4)英格兰、苏格兰和德国的学校平均成绩差异较大，而日本的学校平均成绩差异较小。

THis study is based on KassEx Project that aims to carry out research into the teaching and learning of mathmeatics in different countries, and ultimately to make recommedations about good practice in helping pupils achieve their mathematical potential. It is a main characteristic that the study is longitudial for two years and investigates mathematical potential as well as mathematical content-attainment of pupils inlower secondary schools.In Japan, we implemented the Potential Test, the NumberTest, and the Shape and Space Test developed by KassEx Project and analyzed the results of them. The main result of this study in Japan shows us the followings :(1) Japanese pupils performed better in all tests than England, Scotland and Germany. This results is indicativt of the effectiveness of mathematics education in Japan.(2) The score of the Potential Test differed little between Japan and other countries. It should be noted that the difference of the contents and teaching method of each countries have no effect the result of the the Potential Test.(3) Some worst scores of questions in Japan reflect the fact the topics related to the questions have not yet been covered by the curriculum in Japan.(4) There are large difference among the mean scores of schools in England, Scotland and Germany, however little in Japan.