- 2019 - 2022 Development and practice of the connection teaching materials between high schools and universities in "the Science and Mathematics Research" with mathematical research as a pivot leg
- 2016 - 2019 Development study on university-high school cooperation teaching materials that enhance understanding of mathematics through visualization and transformation of representation
- 2012 - 2015 Development study of mathematics learning materials that connects the high school and the university based on cultural teleology
- 2012 - 2015 The development enforcement of the mathematical modeling challenge program to bring up a scientific analysis intellectual power of the secondary school students
- 2009 - 2011 A Study on the Development of Math Educational Materials for Pre-University Programs in High Schools and the First-Year Programs at Universities
- 2007 - 2008 高大連携を志向した実験的教科書・教材の有効性の実証的研究
- 2006 - 2007 高大連携を志向した高等学校数学の教育課程や教科書の開発研究
- 2005 - 2006 高大連携を志向した高等学校数学の教育課程や教科書の開発研究
- 1996 - 1996 平均曲率一定曲面の安定性と一意性に関する研究
- 1996 - 1996 フィルター付き多様体上の微分方程式と部分リーマン幾何
- 1994 - 1994 接フィルター付き多様体上の幾何構造と微分方程式
- 1992 - 1994 コンピュータと数学教育の係わりについての総合的研究
- 1993 - 1993 接フィルター付き多様体上の幾何構造と微分方程式
- 1989 - 1989 複素多様体の幾何学的及び解析的研究とその応用
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