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标准课程改革的背景下，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，这项研究还处理了高中教育和专业教育的衔接问题。为此，我们的研究是在与日本科学委员会数学教育委员会的合作下进行的。为了与高中教育相衔接，我们以国家课程改革为契机，为其提出建议。为了与专业研究相衔接，我们收集了学生在专业课程中基础数学在自然科学中的具体应用实例，以期建立一个可供高校数学教师使用的数据库；为了促进大学基础数学教育的发展，我们建立了一个数学教育工作者组织之间的网络，就这一主题进行信息交流和问卷调查，通过这个网络，我们可以了解目前大学数学教师不满意的情况。通过这份问卷调查，我们还发现，提高教师教育的数学课程是当务之急。作为改善教师教育的一种尝试，我们组织了一次教师教育研讨会，高中教师和针对教师的研究生都可以在该基金的资助下参加。

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.