Comparative Study on Pupils' Progress of Mathematical Ability

本研究以KassEx项目为基础，旨在对不同国家的数学教学进行研究，并最终提出帮助学生发挥数学潜能的良好实践建议。该研究的主要特点是纵向研究，为期两年，调查了初中学生的数学潜能和数学内容素养。在日本，我们实施了KassEx项目开发的Potential Test， NumberTest, Shape and Space Test，并对结果进行了分析。这项研究在日本的主要结果显示了以下几点：(1)日本学生在所有测试中的表现都好于英格兰、苏格兰和德国。这一结果表明了日本数学教育的有效性。(2)日本与其他国家的潜能测验成绩差异不大。需要注意的是，各国教学内容和教学方法的差异并不影响潜能测试的结果。(3)日本的一些问题得分最低，反映了与这些问题相关的主题尚未被日本的课程涵盖。(4)英国、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不大。

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.