General research for the improvement of basic education of mathematics in university coherent to the change of national standard curriculum in secondary education.

本研究的目的是在学生能力下降和国家课程标准变化的背景下，改进大学一年级学生的数学教育。另一方面，对于自然科学一年级的学生来说，基础数学的学习对于他们进一步的专业学习是非常重要的。因此，本研究还处理的衔接问题，在高中教育和专业教育。为此，我们的研究是在与日本科学理事会数学教育小组委员会的合作下完成的。我们借国家课程修订的机会提出了一些建议。为了与主要研究衔接，我们收集了学生在主要课程中学习的基础数学应用于自然科学的具体例子，为了提高大学数学基础教育的水平，我们在数学教育工作者组织之间建立了一个网络，通过网络交换信息和发送问卷，了解大学数学基础教育的现状。即使是“核心课程”等基本的教育术语数学教师教育课程的改革是当前教师教育改革的一个重要课题。作为一种尝试，我们在2001年组织了一次中学数学教师和研究生教师共同参加的教师教育研讨会，讨论了数学教师教育课程改革的问题，讨论了数学教师教育课程改革的主要内容，讨论了数学教师教育课程改革的主要途径，讨论了数学教师教育课程改革的主要内容该基金的资金支持。

This study aims at the improvement of the education of mathematics at universities for first-year students under the consideration of declining ability of students and the change of national standard curriculum. On the other hand for first-year students of natural sciences the study of basic mathematics is very important for their further major study. Hence this study treats also the problem of articulation with both education at high school and education at major. For that purpose our study was done under the cooperation with the subcommittee of mathematical education in Science Council of Japan.For the articulation with the education of high school, we took the occasion of the revision of the national curriculum to make proposals for it. For the articulation with the major study we collected concrete examples of applications of basic mathematics to natural sciences which students study in major courses with the hope of constructing a database available for math teachers at universities.For the improvement of education of basic mathematics in universities we have constructed a network among the organizations of educators of mathematics to exchange information and to send questionnaire on this subject, by which we could know the present unsatisfactory situation at universities. Even basic terms of education such as "core curriculum" are turned out to be unfamiliar to most teachers of mathematics at universities.By this questionnaire we also found that the improvement of math curriculum of teacher education is one of the most urgent issues.As a trial for the improvement of teacher education we organized a seminar on teacher education which both high school teachers and graduate students aiming at teachers can attend under the financial support of this fund.