ITOH Takehiro 伊藤武廣

… Alternative Names

ITO Takehiro 伊藤武廣

伊藤武広イトウタケヒロ

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Researcher Number	00015827
Other IDs
Affiliation (based on the past Project Information) *help	2014 – 2016: 信州大学, 教育学部, 名誉教授 2011: 信州大学, 教育学部, 教授 2005 – 2009: 信州大学, 教育学部, 教授 1991 – 1996: 信州大学, 教育学部, 教授 1987: 筑波大学, 数学系, 助教授
Review Section/Research Field	Principal Investigator 代数学・幾何学 / Geometry / Education on school subjects and activities / Science education Except Principal Investigator Algebra / Education on school subjects and activities / Humanities and Social Sciences / 解析学
Keywords	Principal Investigator 非可環Gorenstein環 / 実超曲面 / 正則曲率 / 凸超曲面 / リーマンゼータ関数 / 複素射影空間内の実超曲面 / 複素定曲率空間内の実超曲面 / リ-マンゼ-タ関数 / δ-transformation / n-Gorenstein環 … More / Hypersurfaces / real hypersurfaces / n-Gorenstein / カリキュラム開発 / 直観幾何 / 論証幾何 / 構成的な接続 / 証明 / 図形教育 / カリキュラム / 接続 / 数学的に考える力 / 教員養成 … More Except Principal Investigator カリキュラム / 実超曲面 / 中学校 / 3次元動的幾何ソフト / 正則曲率 / 凸超曲面 / n-Gorenstein環 / リーマンゼータ関数 / Auslander-Gorenstein環 / 極小移入分解 / 双対性 / holonomic module / 正則断面曲率 / リーマン・ゼータ関数 / 図形教育 / ディジタルコンテンツ / 中学校数学 / 論証 / フローチャート証明 / 学習支援システム / 数学 / ディジタル教科書 / 空間図形 / 探究的な学習 / Webサイト / 双曲型作用素 / 混合問題 / 準楕円性 / 擬微分作用素 / L^P有界性 / 非線形波動方程式 / 弾性体の方程式 / 容量測度 / Yorの定理 / 等長はめこみ / Veronese曲面 / 自己双対接続 / シェイプ理論 / 無限次元多様体 / Heegaardダイアグラム Less

Development of teacher training programs focused on "knowledge and skills for mathematical thinking"Principal Investigator
- Principal Investigator
  
  ITOH Takehiro
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Shinshu University
Developing Websites of Explorative Learning for Space Geometry with Three Dimensional Dynamic Geometry Software
- Principal Investigator
  
  IWANAGA Yasuo
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
Development and Assessment of Digital Textbook based on the Curriculum of Constructive Learning of Proofs in Junior High School Mathematics
- Principal Investigator
  
  MIYAZAKI Mikio
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
中学校図形教育カリキュラムにおける3次元動的幾何ソフトのコンテンツの開発と効果
- Principal Investigator
  
  MIYAZAKI Mikio
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Review Section
  
  Humanities and Social Sciences
- Research Institution
  Shinshu University
Curriculum Development based on constructive relationships between Intuitive Geometry and Demonstrative Geometry in School MathematicsPrincipal Investigator
- Principal Investigator
  
  ITOH Takehiro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
環と加群のホモロジー代数学的研究
- Principal Investigator
  
  岩永恭雄
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
リーマン空間内の部分多様体の研究Principal Investigator
- Principal Investigator
  
  伊藤武広
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
環と加群の構造のホモロジー代数学的研究
- Principal Investigator
  
  岩永恭雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
リーマン空間内の部分多様体の研究Principal Investigator
- Principal Investigator
  
  伊藤武広
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
リーマン空間内の部分多様体の研究Principal Investigator
- Principal Investigator
  
  伊藤武広
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
リ-マン空間内の部分多様体についてPrincipal Investigator
- Principal Investigator
  
  伊藤武広
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
偏微分方程式および関連分野の研究
- Principal Investigator
  
  若林誠一郎
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba

All 2007 2006 2005 Other

All Journal Article Presentation

[Journal Article] 球面の特徴付け : まるく見える曲面は球面か2007
- Author(s)
  伊藤武広
- Journal Title
  
  信州大学教育学部紀要 119
  
  Pages: 189-196
- Data Source
  KAKENHI-PROJECT-17530653
[Journal Article] The effects of "spatial geometry curriculum with 3D DGS" in lower secondary school mathematics2007
- Author(s)
  Kimiho CHINO, Tatsuo MOROZUMI, Hitoshi ARAI, Fumihiro OGIHARA, Yuichi OGUCHI, Mikio MIYAZAKI
- Journal Title
  
  Proceedings 31th Conference of the International Group for the Psychology of Mathematics Education (PME) (in-press)
- Data Source
  KAKENHI-PROJECT-17011031
[Journal Article] 球面の特徴付け:まるく見える曲面は球面か2007
- Author(s)
  伊藤武広, 他2名
- Journal Title
  
  信州大学教育学部紀要 119
  
  Pages: 189-196
- Data Source
  KAKENHI-PROJECT-17530653
[Journal Article] A Useful Characterization of Some real Hypersurfaces in a Nonflat Complex Space Form2006
- Author(s)
  ITO, T
- Journal Title
  
  Bulletin of the Polish Academy of Sciences Math 54
  
  Pages: 125-136
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17530653
[Journal Article] 中学校数学における3次元動的幾何ソフトの利用に関する研究 : 空間図形のカリキュラム開発における新たな可能性2006
- Author(s)
  宮崎樹夫, 新井仁, 伊藤武廣, 岩永恭雄, 小口祐一, 茅野公穂, 両角達男
- Journal Title
  
  日本科学教育学会年会論文集30(日本科学教育学会第30回年会 : 筑波学院大学(つくば市) 30
  
  Pages: 389-390
- Data Source
  KAKENHI-PROJECT-17011031
[Journal Article] A Useful Characterization of Some real Hypersurfaces in a Nonflat Complex Space Form2006
- Author(s)
  ITO, T, 他1名
- Journal Title
  
  Bulletin of the Polish Academy of Sciences Math 54
  
  Pages: 125-136
- Data Source
  KAKENHI-PROJECT-17530653
[Journal Article] 中学校数学における3次元動的幾何ソフトの利用に関する研究 : 「空間図形のカリキュラム」による情意的な効果2006
- Author(s)
  両角達男, 新井仁, 伊藤武廣, 岩永恭雄, 小口祐一, 茅野公穂, 宮崎樹夫
- Journal Title
  
  日本科学教育学会年会論文集30(日本科学教育学会第30回年会 : 筑波学院大学(つくば市) 30
  
  Pages: 387-388
- Data Source
  KAKENHI-PROJECT-17011031
[Journal Article] 中学校数学における3次元動的幾何ソフトの利用に関する研究 : 「空間図形のカリキュラム」による認知的な効果2006
- Author(s)
  茅野公穂, 新井仁, 伊藤武廣, 岩永恭雄, 小口祐一, 宮崎樹夫, 両角達男
- Journal Title
  
  日本科学教育学会年会論文集30(日本科学教育学会第30回年会 : 筑波学院大学(つくば市) 30
  
  Pages: 391-392
- Data Source
  KAKENHI-PROJECT-17011031
[Journal Article] 平面や球面を美しく表現しよう2006
- Author(s)
  伊藤武広, 他1名
- Journal Title
  
  信州大学教育学部紀要 118
  
  Pages: 95-103
- Data Source
  KAKENHI-PROJECT-17530653
[Journal Article] 中学校数学における3次元動的幾何ソフトの利用に関する研究:教材開発のための枠組みの設定とカリキュラムに応じた利用2005
- Author(s)
  宮崎樹夫, 新井仁, 伊藤武廣, 岩永恭雄, 小口祐一, 茅野公穂, 両角達男
- Journal Title
  
  第29回日本科学教育学会年会論文集
  
  Pages: 143-144
- Data Source
  KAKENHI-PROJECT-17011031
[Presentation] 中学校数学における3次元動的幾何ソフトの利用に関する研究 : 「空間図形のカリキュラム」による認知的な効果
- Author(s)
  茅野公穂, 新井仁, 伊藤武廣, 岩永恭雄, 小口祐一, 宮崎樹夫, 両角達男
- Organizer
  日本科学教育学会年会論文集30(日本科学教育学会第30回年会
- Data Source
  KAKENHI-PROJECT-17530653
[Presentation] 中学校数学における3次元動的幾何ソフトの利用に関する研究 : 空間図形のカリキュラム開発における新たな可能性
- Author(s)
  宮崎樹夫, 新井仁, 伊藤武廣, 岩永恭雄, 小口祐一, 茅野公穂, 両角達男
- Organizer
  日本科学教育学会年会論文集30日本科学教育学会第30回年会
- Place of Presentation
  筑波学院大学(つくば市)
- Data Source
  KAKENHI-PROJECT-17530653
[Presentation] 中学校数学における3次元動的幾何ソフトの利用に関する研究 : 「空間図形のカリキュラム」による情意的な効果
- Author(s)
  両角達男, 新井仁, 伊藤武廣, 岩永恭雄, 小口祐一, 茅野公穂, 宮崎樹夫
- Organizer
  日本科学教育学会年会論文集30(日本科学教育学会第30回年会
- Place of Presentation
  筑波学院大学(つくば市)
- Data Source
  KAKENHI-PROJECT-17530653

1. IWANAGA Yasuo (80015825)

# of Collaborated Projects: 9 results

# of Collaborated Products: 4 results
2. 松岡楽 (50135117)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. CHINO Kimiho (20400658)

# of Collaborated Projects: 4 results

# of Collaborated Products: 5 results
4. MIYAZAKI Mikio (10261760)

# of Collaborated Projects: 4 results

# of Collaborated Products: 8 results
5. OGUCHI Yuichi (70405877)

# of Collaborated Projects: 2 results

# of Collaborated Products: 5 results
6. KON Mayuko (70507186)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 荻上絋一

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. MIYAZAKI Toshie (50349172)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. KOMATSU Kotaro (40578267)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. ARAI Hitoshi (40641543)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. KATO Ryuhei (10618648)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 田沢絋一郎 (00020610)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 両角達男 (50324322)

# of Collaborated Projects: 1 results

# of Collaborated Products: 5 results
14. 松澤泰道 (60645620)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 若林誠一郎 (10015894)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 保科隆雄 (00015893)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 高橋恒郎 (90015511)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 神田護 (80023597)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 松村睦豪 (30025879)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. OGIHARA Fumihiro

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. KITAJIMA Shigeki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. BABA Naoki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. YUMOTO Takeshi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 荻上紘一

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 田沢紘一郎

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 萩上紘一

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ITOH Takehiro 伊藤 武廣

ITO Takehiro 伊藤 武廣

伊藤 武広 イトウ タケヒロ

Research Projects

Research Products

Co-Researchers

Development of teacher training programs focused on "knowledge and skills for mathematical thinking"Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Developing Websites of Explorative Learning for Space Geometry with Three Dimensional Dynamic Geometry Software

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development and Assessment of Digital Textbook based on the Curriculum of Constructive Learning of Proofs in Junior High School Mathematics

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

中学校図形教育カリキュラムにおける3次元動的幾何ソフトのコンテンツの開発と効果

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Curriculum Development based on constructive relationships between Intuitive Geometry and Demonstrative Geometry in School MathematicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

環と加群のホモロジー代数学的研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

リーマン空間内の部分多様体の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

環と加群の構造のホモロジー代数学的研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

リーマン空間内の部分多様体の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

リーマン空間内の部分多様体の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

リ-マン空間内の部分多様体についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

偏微分方程式および関連分野の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] 球面の特徴付け : まるく見える曲面は球面か2007

Author(s)

ITOH Takehiro 伊藤武廣

ITO Takehiro 伊藤武廣

伊藤武広イトウタケヒロ