General study on improvement of basic education of mathematics in universities

1. 大学数学基础教育系统数据库的更新：我们调查了医学和教育等院系（参见报告一1，二2）；数学学习成绩调查：(1)1996年、1998年、1999年小学一年级开始和结束时各年级成绩调查，并按答案模式分类（参见报告ⅱ）；(2)通过调查探究，在1998年入学后对新国标下的学生进行学习；海外案例调查：(1)邀请美国Judson教授听取美国教育改革情况（参见报告I - 3）；(2) Namikawa和Nishimori访问了美国和法国，以交流那里的数学教育者之间的信息。4 .与专业继续教育的关系调查：我们对物理、工程、经济、信息等专业进行了研究，结果表明，由于种种原因，这种关系的改善非常困难（参见报告II 1）；5 .大学阶段微积分与线性代数标准课程的建议：只能给出初步版本；高校数学基础教育课程数据库的更新：对其现状进行了探讨。答案显示出强烈的危机感和对教育者的不满。教学方法技巧调查：1999年完成。7 .答案按模式分类（参见报告三）；大学数学网络：在这样的活动中，大学数学网络是非常有用的。我们利用互联网交换信息。

1. Update of the database on the system of basic education of mathematics in universities : we investigated such faculties as mtedicine and education (cf. Report I 1, II 2) ;2. Investigation of achievemnents of mathematics learning : (1) Investigation of achievements through years, at the begin and at the end of the 1st grade, in 1996, 1998, 1999 with the classification of patterns of answers (cf.Report I 2) ; (2) Investigation by inquiry, in 1998 after the entance of students learned under the new national standards ;3. Investigation of cases in overseas : (1) We invited Prof. Judson from the US to hear on the reform of education in tlte States (cf. Report I 3) ; (2) Namikawa and Nishimori visited the US and France to exchange informations among math educators there.4. Investigation on relation with further education in majors : We made research in such majors as physics, engineering, economics, informations, but it has turned out that the improvement of the relation is very difficult several reasons (cf. Report II 1 ) ;5. Propose of standard curriculum on calculus and linear algebra in college level : we could give only preliminary version ;6. Update of the database on the curriculum of basic education of mathematics in universities : we made also inquiries about the present situations. The answers show strong sense of crisis and of dissatisfactions of educators.7. Inquizy on tips of teaching methods : done in 1999. Answers were classified according to patterns (cf. Report III) ;8. University network of mathematics : in such activities the university network of mathematics was very useful. We used internet for exchange of informations.