Researcher Information
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Research achievements (PUBLICATIONS)
Research achievements (PUBLICATIONS/REVIEWS (Misc))
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Acceptance of special research students
EDUCATION/COMMUNITY ACTIVITIES DATA
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Basic information
Name
SATO Kenji
BASIC INFO
Teacher Information
***
RESEARCHER BASIC DATA
PROFILE
For a group acting on a non-empty set, my work is to prove the existence of a free subgroup of rank 2 of the group. The motivation of my work is that it is useful to prove the Hausdorff-Banach-Tarski Paradox, that is, for two bounded subsets with non-empty interior of the Euclidean space with dimension is greater or equal to 3, we can partition one of them to finite pieces and reconstruct the other by congruent transformations.
Affiliation
Tamagawa University College of Engineering Department of Management Science
Title
Professor
Other affiliations
ACADEMIC DEGREES
null Tokyo Institute of Technology 1996-03-26
null Tokyo Institute of Technology 1992-03-31
null Tokyo Institute of Technology 1990-03-31
Area of research
Algebra Algebra
Research project
- Individual
The existence of a free subgroup of a group acting on a set Individual
Biographical information
1998-04-01 ～ Present Tamagawa Academy
1996-04-01 ～ Present Tamagawa Academy
1996-04-01 ～ 1998-03-31 Tamagawa Academy
Graduate School attended
Tokyo Institute of Technology Completed 1996-03-31
Tokyo Institute of Technology Department of Information Science Completed 1992-03-31
University attended
Tokyo Institute of Technology Faculty of Science Department of Information Science 1990-03-31 Graduated
Teaching qualification / certification
RESEARCH ACTIVITY DATA
Affiliated academic society
-
-
American Mathematical Society
-
Record of committee membership
Academic prizes awarded
Research achievements (PUBLICATIONS)
Gauss' divergence theorem on bounded domains in Minkowski spaces with applications to hyperbolic simplices International Journal of Geometry Kenzi Satô 2024-01-01
Centroids of hyperbolic simplices International Journal of Geometry Kenzi SATÔ 2023-07-31
Incenters, circumcenters, and orthocenters of simplices of Euclidean spaces, spheres, and hyperbolic spaces: The interiorness and their polarity Proceedings of the international Conference on Nonlinear Analysis and Convex Analysis and International Conference on Optimization: Techniques and Applications Kenzi Satô 2021
Orthocenters of simplices on hyperbolic spaces Kenzi Sato 2017-12-10
Orthocenters of simplices on spheres Forum Geometricorum Kenzi Sato 2017-06-19
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Impossibility of reconstruction of a plane triangle from the distances of its orthocenter and vertices by compass and ruler Journal of Nonlinear and Convex Analysis Kenzi Sato 2017-03-16
The existence of nonexpansive extension on a geodesic space with constant curvature the special issue of the Journal of Nonlinear and Convex Analysis to celebrate the occasion of Professor Kazimierz Goebel’s 75th birthday Yasunori Kimura & Kenzi Sato 2016-12-24
Escribed and Inscribed Simplices and Bevan Point Theorem on n-dimensional Euclidean Space with n>=3 International Electronic Journal of Geometry Kenzi Sato 2015-10-29
Approximation of a common fixed point in a geodesic space with curvature bounded above the special issue of Journal of Nonlinear and Convex Analysis for ICNAO2013 dedicated to Prof W. Takahashi on his 70th birthday Yasunori Kimura & Kenzi Sato 2015-09-29
Image recovery problem on a geodesic space with curvature bounded above by one the Proceedings of NAO-Asia2012 Yasunori Kimura & Kenzi Sato 2014-02-24
- Yasunori Kimura & Kenzi Sat^o 2012-12
ヒルベルト空間の単位球面上の非拡大写像の不動点への2つの収束定理 Yasunori Kimura & Kenzi Sat^o 2012-08
- Yasunori Kimura & Kenzi Sat^o 2012-07
Spherical simplices and their polars Quarterly Journal of Mathematics Kenzi Sat^o 2007-03
Some Subgroups of SO_3(R) Isomorphic to the Free Product (Z/2Z)*(Z/3Z) American Mathematical Monthly 2004-08
A locally commutative free group acting on the plane Fundamenta Mathematicae 2003-10
Free isometric actions on the affine space Q^n Indagationes MathematicaeNew Series 2002-01
A free group acting on Z^2 without fixed points L'Enseignement Math'ematique SAT^O Kenzi 1999
Free groups acting without fixed points on rational spheres Acta Arithmetica SAT^O Kenzi 1998
A free group of rotations with rational entries on the 3-dimensional unit sphere Nihonkai Mathematical Journal SAT^O Kenzi 1997
A Hausdorff decomposition on a countable subset of S^2 without the axiom of choice Mathematica Japonica SAT^O Kenzi 1996
A free group acting without fixed points on the rational unit sphere Fundamenta Mathematicae SAT^O Kenzi 1995
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Research achievements (PUBLICATIONS/REVIEWS (Misc))
The interiorness of circumcenters and orthocenters on Euclidean simplices Kenzi SATÔ NACA-ICOTA2019 abstract NACA-ICOTA2019 Organizing Committee 141 141 2019-08-27
Centers of simplices on spaces and linear algebra Kenzi Sato The 4th Intl Conference on Groups and Algebras, abstract 2019-01-07
Orthocenters of simplices on spheres and hyperbolic spaces Kenzi Sato The 21st Japan Conference on Discrete and Computational Geometry, Graphs, and Games, abstract 2018-09-02
The existence of orthocenters of simplices of hyperbolic spaces Kenzi Sato 日本数学会 2018年度年会 幾何学分科会 講演アブストラクト 51 ～ 52 2018-03-19
The existence and uniqueness of orthocenters of simplices of high-dimensional spheres Kenzi Sato 日本数学会 2017年度秋季総合分科会 幾何学分科会 講演アブストラクト 61 62 2017-09-13
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A definition of escribed and inscribed simplices of higher dimensional Euclidean spaces and expansion of Bevan point theorem Kenzi Sato 日本数学会 2016年度年会 幾何学分科会 講演アブストラクト 2016 125 ～ 126 2016-03-09
- - - 2012-09-21
- - - 26 949 ～ 955 2012
- - - 2012
- - - 2012
- - - 75 5079 ～ 5085 2012
ヒルベルト空間の単位球面上の非拡大写像の不動点への2つの収束定理 Yasunori Kimura & Kenzi Sat^o - 26 949 ～ 955 2012
ソファ問題の凸な例 Jin-ichi Itoh & Kenzi Sat^o 日本離散・計算幾何学学会 21 2011-11-28
ヒルベルト空間の単位球面上の非拡大写像の不動点への収束定理 Yasunori Kimura & Kenzi Sat^o 解析学とその応用の国際会議 33-34 2011-11-21
ヒルベルト空間の単位球面上の半非拡大写像の縮小法 Yasunori Kimura & Kenzi Sat^o 解析学とその応用の国際会議 33 2011-11-21
- - - 33 ～ 34 2011
- - - 33 2011
ヒルベルト空間の単位球面上の非拡大写像の不動点への収束定理 Yasunori Kimura & Kenzi Sat^o 解析学とその応用の国際会議 33 ～ 34 2011
ヒルベルト空間の単位球面上の半非拡大写像の縮小法 Yasunori Kimura & Kenzi Sat^o 解析学とその応用の国際会議 33 2011
- - - 19 2009-09-24
- - - 19 2009
- - - 73-74 2008-09-26
- - - 62 2008-06-19
- - RIMS Kokyuroku 1604 57-59 2008-06
- - - 88-89 2008-03-25
- - - 88 ～ 89 2008
- - - 3ページ分 2008
- - - 73 ～ 74 2008
The Gauss-Bonnet theorem for PL manifolds ?Banchoff's theorem and Homma's theorem? SAT^O, Kenzi RIMS Kokyuroku (The Symposium on Algebras, Languages, Computations and their Applications) 1562 87-91 2007-06
- - - 6 2007-03-27
- - - 6 2007
- - - 1562 87 ～ 91 2007
- - - 58 107 ～ 126 2007
The Gauss-Bonnet theorem for PL manifolds ～Banchoff's theorem and Homma's theorem～ SAT^O, Kenzi RIMS Kokyuroku (The Symposium on Algebras, Languages, Computations and their Applications) 1562 87 ～ 91 2007
Spherical simplices and their polars - Quarterly Journal of Mathematics 58 107 ～ 126 2007
- - - 214-221 2006-08
Solid angles of high dimensional spheres SAT^O, Kenzi RIMS Kokyuroku (Proceedings of the 9th Symposium on Algebra, Languages and Computation) 1503 129-131 2006-07
- - - 12月13日 2006-03-26
- - - 1503 129 ～ 131 2006
- - - 214 ～ 221 2006
- - - 12 ～ 13 2006
Solid angles of high dimensional spheres SAT^O, Kenzi RIMS Kokyuroku (Proceedings of the 9th Symposium on Algebra, Languages and Computation) 1503 129 ～ 131 2006
An experiment in computer of the Banach-Tarski paradox on the lattice points of the plane - RIMS Kokyuroku (Proceedings of Algebra, Languages and Computation) 1437 45-52 2005-06
- - - 36-37 2005-03-28
- - - 4月5日 2005-03-27
- - - 1437 45 ～ 52 2005
- - - 36 ～ 37 2005
- - - 4 ～ 5 2005
An experiment in computer of the Banach-Tarski paradox on the lattice points of the plane - RIMS Kokyuroku (Proceedings of Algebra, Languages and Computation) 1437 45 ～ 52 2005
Free groups of the special orthogonal groups SAT^O, Kenzi RIMS Kokyuroku (Proceedings of International Workshop on Algebraic Systems, Formal Languages and, Conventional and Unconventional Computation Theory) 1366 188-194 2004-04
A method of calculation of eigenvectors of special orthogonal matrices on odd dimensional Euclidean spaces SAT^O, Kenzi Proceedings of the Seventh Symposium on Algebra, Languages and Computation 111-113 2004-01
- - - 1366 188 ～ 194 2004
- - - 111 ～ 113 2004
- - - 111 603 ～ 607 2004
Free groups of the special orthogonal groups SAT^O, Kenzi RIMS Kokyuroku (Proceedings of International Workshop on Algebraic Systems, Formal Languages and, Conventional and Unconventional Computation Theory) 1366 188 ～ 194 2004
A method of calculation of eigenvectors of special orthogonal matrices on odd dimensional Euclidean spaces SAT^O, Kenzi Proceedings of the Seventh Symposium on Algebra, Languages and Computation 111 ～ 113 2004
Some Subgroups of SO_3(R) Isomorphic to the Free Product (Z/2Z)*(Z/3Z) - American Mathematical Monthly 111 603 ～ 607 2004
A locally commutative free group acting on R^2 SAT^O, Kenzi Proceedings of the sixth symposium on algebra, languages and computation 18-21 2003-02
- - - 18 ～ 21 2003
- - - 180 1 25 ～ 34 2003
A locally commutative free group acting on R^2 SAT^O, Kenzi Proceedings of the sixth symposium on algebra, languages and computation 18 ～ 21 2003
A locally commutative free group acting on the plane - Fundamenta Mathematicae 180 1 25 ～ 34 2003
A locally commutative free group acting on R^2 Kenzi, SAT^O Proceedings of the sixth symposium on algebra, languages and computation 18-21 2002-12
- - - 18 ～ 21 2002
- - - 13 3 389 ～ 405 2002
A locally commutative free group acting on R^2 Kenzi, SAT^O Proceedings of the sixth symposium on algebra, languages and computation 18 ～ 21 2002
Free isometric actions on the affine space Q^n - Indagationes Mathematicae&0d0a;New Series 13 3 389 ～ 405 2002
- - - 10 2000-03-27
- - 数学セミナー 39 1 57 2000-01
- - - 39 1 57 2000
- - - 10 2000
A semilinear elliptic problem with singularity SAT^O, Kenzi & SHIOJI, Naoki RIMS Kokyuroku 1117 57-63 1999-06
- - - 64-65 1999-03-26
- - - 64 ～ 65 1999
- - - 45 189 ～ 194 1999
- - - 1117 57 ～ 63 1999
A free group acting on Z^2 without fixed points SAT^O Kenzi L'Enseignement Math'ematique 45 189 ～ 194 1999
A semilinear elliptic problem with singularity SAT^O, Kenzi & SHIOJI, Naoki RIMS Kokyuroku 1117 57 ～ 63 1999
- - - 85 2 135 ～ 140 1998
Free groups acting without fixed points on rational spheres SAT^O Kenzi Acta Arithmetica 85 2 135 ～ 140 1998
- - - 8 1 91 ～ 94 1997
A free group of rotations with rational entries on the 3-dimensional unit sphere SAT^O Kenzi Nihonkai Mathematical Journal 8 1 91 ～ 94 1997
- - - 44 2 307 ～ 312 1996
A Hausdorff decomposition on a countable subset of S^2 without the axiom of choice SAT^O Kenzi Mathematica Japonica 44 2 307 ～ 312 1996
- - - 148 63 ～ 69 1995
A free group acting without fixed points on the rational unit sphere SAT^O Kenzi Fundamenta Mathematicae 148 63 ～ 69 1995
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Research achievements (BOOKS)
The Banach-Tarski Paradox Second Edition 2023-04-10 Single Translations
Research achievements (Lectures, oral presentations, posters, etc.)
The sum of powered distances from vertices or edges of a triangle 2022-08-30
The locus of argmin of the sum of powers of distances from 3pts on the plane 2022-03-12
The circumcenters and orthocenters of hyperbolic triangles 2021-03-07
Centers of simplices on spaces and linear algebra The 4th Intl Conference on Groups and Algebras 2019-01-07
Orthocenters of simplices on spheres and hyperbolic spaces The 21st Japan Conference on Discrete and Computational Geometry, Graphs, and Games 2018-09-02
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The existence of orthocenters of simplices of hyperbolic spaces 2018-03-19
The existence and uniqueness of orthocenters of simplices of high-dimensional spheres 2017-09-13
An application to the image recovery problem of Halpern iteration on a CAT(1) space The International Conference on Nonlinear Analysis and Optimization (ICNAO2013) 2013-12-22
- - 2012-09-21
- - 2012-09-03
- - 2012-09-03
- - 2012-08-29
- - 2012-02-11
ソファ問題の凸な例 日本離散・計算幾何学学会 2011-11-28
ヒルベルト空間の単位球面上の非拡大写像の不動点への収束定理 解析学とその応用の国際会議 2011-11-21
ヒルベルト空間の単位球面上の半非拡大写像の縮小法 解析学とその応用の国際会議 2011-11-21
- - 2010-02-13
- - 2009-09-24
- - 2008-09-26
The algebraic relations of curvatures of PL manifolds 15-th Conference of the International Linear Algebra Society (Cancun) 2008-06-19
- - 2008-03-25
- - 2008-02-21
- - 2007-03-27
The Gauss-Bonnet theorem for PL manifolds ?Banchoff's theorem and Homma's theorem? The Symposium on Algebras, Languages, Computations and their Applications 2007-02-20
- - 2006-08-06
Relations of inner and outer angles of spherical simplices 13-th. International Linear Algebra Society Conference (Amsterdam) 2006-07
- - 2006-03-26
Solid angles of high dimensional spheres Algorithmic problems in algebra, languages and computation systemsThe 9th Symposium on Algebras, Languages and Computation 2006-02-22
- - 2005-12-15
- - 2005-03-28
- - 2005-03-27
An experiment in computer of the Banach-Tarski paradox on the lattice points of the plane The 8th Algebra, Languages and Computation 2005-02-21
A method of calculation of eigenvectors of special orthogonal matrices on odd dimensional Euclidean spaces The Seventh Symposium on Algebra, Languages and Computation 2003-12-21
A method of calculation of eigenvectors of special orthogonal matrices on odd dimensional Euclidean spaces A meeting on Matrix Analysis and Applications (Florida) 2003-12-16
Some free groups on spaces The Third International Conference on Nonlinear Analysis and Convex Analysis (Tokyo) 2003-08
A locally commutative free group acting on R^2 - 2002-12-21
Free groups of the special orthogonal groups - 2002-09
Free groups of the special orthogonal groups International Congress of Mathematicians 2002 (Beijing) 2002-08-24
Free groups of the special orthogonal groups ICM2002 Satellite Conference, Algebra and related topics (Hong-Kong) 2002-08-14
Free subgroups of SO_n(Q) and subgroups of SO_3(R) freely generate Z_2*Z_3 Conference in honor of Jan Mycielski (Colorado) 2002-06-02
Free groups on spheres Com^2Mac conference on combinatorial matrix theory (Pohang) 2002-01-14
- - 2000-03-27
A semilinear elliptic problem with singularity - 1999-06
- - 1999-03-26
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Research achievements (Other)
Research achievements (Patents)
Overseas research
International congress of mathematicians Beijing International Covention Center 2002-08-20 ～ 2002-08-28
ICM2002 Satellite conference in algebra and related topics Chinese University of Hong Kong 2002-08-14 ～ 2002-08-17
Conference in honor of Jan Mycielski University of Colorado 2002-06-01 ～ 2002-06-03
Com^2Mac conference on combinatorial matrix theory Pohang University of Science and Technology 2002-01-14 ～ 2002-01-17
The third world congress of nonlinear analysis University of Catania 2000-07-19 ～ 2000-07-26
Overseas research activities
2001
Acceptance of special research students
EDUCATION/COMMUNITY ACTIVITIES DATA
Courses you have taught (To be displayed on Researchmap)
Course taught (Course for regular students)
2024 1 ﾏﾈｼﾞﾒﾝﾄｻｲｴﾝｽｾﾐﾅｰ A 0 学科科目 演習 工 68
2024 1 卒業ﾌﾟﾛｼﾞｪｸﾄ (1ｾﾒｽﾀｰ目) 0 学科科目 演習 工 22
2024 1 解析学 II Monday 56 学科科目 講義 工 39
2024 1 数学演習 I Tuesday 56 学科科目 演習 工 52
2024 1 代数学 II Thursday 78 学科科目 講義 工 44
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2024 1 幾何学 II Friday 78 学科科目 講義 工 16
2023 1 ﾏﾈｼﾞﾒﾝﾄｻｲｴﾝｽｾﾐﾅｰ A 0 学科科目 演習 工 50
2023 1 卒業ﾌﾟﾛｼﾞｪｸﾄ (1ｾﾒｽﾀｰ目) 0 学科科目 演習 工 37
2023 1 解析学 II Monday 56 学科科目 講義 工 53
2023 1 数学演習 I Tuesday 56 学科科目 演習 工 60
2023 1 算数･数学科学習ﾃﾞｻﾞｲﾝ研究 Tuesday 910 院科目 大学院 教職 8
2023 1 代数学 II Thursday 78 学科科目 講義 工 46
2023 1 幾何学 II Friday 78 学科科目 講義 工 16
2023 2 外書探究 0 学科科目 演習 工 9
2023 2 ﾏﾈｼﾞﾒﾝﾄｻｲｴﾝｽｾﾐﾅｰ B 0 学科科目 演習 工 29
2023 2 卒業ﾌﾟﾛｼﾞｪｸﾄ 0 学科科目 演習 工 27
2023 2 解析学通論 Monday 12 院科目 大学院 工 2
2023 2 幾何学通論 Monday 34 院科目 大学院 工 1
2023 2 代数学 III Monday 78 学科科目 講義 工 10
2023 2 代数学 I Tuesday 34 学科科目 講義 工 34
2023 2 幾何学 I Thursday 12 学科科目 講義 工 76
2023 2 幾何学 III Thursday 34 学科科目 講義 工 7
2022 1 ﾏﾈｼﾞﾒﾝﾄｻｲｴﾝｽｾﾐﾅｰ A 0 学科科目 演習 工 79
2022 1 卒業ﾌﾟﾛｼﾞｪｸﾄ (1ｾﾒｽﾀｰ目) 0 学科科目 演習 工 19
2022 1 卒業ﾌﾟﾛｼﾞｪｸﾄ (1ｾﾒｽﾀｰ目) 0 学科科目 演習 工 1
2022 1 解析学 II Monday 56 学科科目 講義 工 25
2022 1 数学演習 I Tuesday 56 学科科目 演習 工 90
2022 1 算数･数学科学習ﾃﾞｻﾞｲﾝ研究 Tuesday 910 院科目 大学院 教職 4
2022 1 代数学 II Thursday 78 学科科目 講義 工 40
2022 1 代数学 II Thursday 78 学科科目 講義 工 6
2022 1 幾何学 II Friday 78 学科科目 講義 工 23
2022 1 幾何学 II Friday 78 学科科目 講義 工 3
2022 2 外書探究 0 学科科目 演習 工 23
2022 2 外書探究 0 学科科目 演習 工 1
2022 2 ﾏﾈｼﾞﾒﾝﾄｻｲｴﾝｽｾﾐﾅｰ B 0 学科科目 演習 工 55
2022 2 卒業ﾌﾟﾛｼﾞｪｸﾄ 0 学科科目 演習 工 17
2022 2 解析学通論 Monday 12 院科目 大学院 工 1
2022 2 幾何学通論 Monday 34 院科目 大学院 工 1
2022 2 代数学 III Monday 78 学科科目 講義 工 7
2022 2 幾何学 I Tuesday 56 学科科目 講義 工 51
2022 2 幾何学 I Tuesday 56 学科科目 講義 工 1
2022 2 幾何学 III Thursday 34 学科科目 講義 工 10
2022 2 幾何学 III Thursday 34 学科科目 講義 工 1
2022 2 解析学入門 Thursday 56 学科科目 講義 工 54
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Course taught (Course for correspondence students)
2024 3 幾何学I レポート作問・添削
2024 3 幾何学II レポート作問・添削
2024 3 幾何学I 科目試験作問・採点
2024 3 幾何学II 科目試験作問・採点
2023 3 幾何学I レポート作問・添削
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2023 3 幾何学II レポート作問・添削
2023 3 幾何学I 科目試験作問・採点
2023 3 幾何学II 科目試験作問・採点
2022 3 幾何学I レポート作問・添削
2022 3 幾何学II レポート作問・添削
2022 3 幾何学I 科目試験作問・採点
2022 3 幾何学II 科目試験作問・採点
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Other subjects
Educational innovation, text books and other matters worth mentioning
2011 「多面体の幾何学」という高校生への模擬授業用の教材を作成し、実際に模擬授業で活用した。 2011-07-21
2011 幾何学において多面体などの立体図形の理解は学生にとって困難である。そこで立体模型や立体パズルを教室に持参し実際に学生に触れさせた。これにより学生の理解は大きく深まった。また教師を目指す学生にはこのような模型やパズルの存在を教えることにより、小学校の算数、中学校、高等学校での数学の授業の方法の可能性を広げさせることができた。 2011-04-12
2011 代数学の一分野、群(ぐん)の一例として数学的パズル、ルービックキューブがある。群を抽象的に理解するのは困難であるが、ルービックキューブという具体的なものに触れることにより理解を深めさせるとともに、遊びの中にも数学の身近な例が存在することを実感させ数学への親近感を持たせることができた。また教師を目指す学生には、このようなパズルを教材として用いることができることを教えることができた。 2011-04-11
2010 「やわらかい幾何学 -トポロジー入門-」という高校生への模擬授業用の教材を作成し、実際に模擬授業で活用した。 2010-07-08
2008 「ゴム膜の幾何学」という高校生への模擬授業用の教材を作成し、実際に模擬授業で活用した。 2008-07-13
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2007 「やわらかい幾何学」という高校生への模擬授業用の教材を作成し、実際に模擬授業で活用した。 2007-06-29
2006 工学部教職科目「幾何学I」、「II」、「III」には図が大量に現れる。数学においては各自が鉛筆を持つ手を動かして計算したり図を描いたりすることが重要なため、できるだけ板書をしノートを取らせるよう心がけている。しかし中には板書の意味を理解できず間違った図をノートに描いている学生もおり、そのような学生の誤解を減らすために計算機で作った正確な図をプリントとして配るようにしたところ、理解が向上したように思われる 2006-04
2006 工学部教職科目「代数学II」、「III」では三次、四次、五次方程式について説明する。一般論だけでは理解が困難なため例を用いて説明したいが、ふさわしい例を作るのは大変であり専門書にもあまり例は載っていない。そこで計算機を用いてたくさんの例を作り、講義時や演習時に使用している。具体的な計算を行なうことにより理解が向上したように思われる。 2006-04
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Presentations / Lectures
Involvements with student field work / Study trips
2008 Student Lead 三年生研修 2008-06-13 ～ 2008-06-14
2007 Student Lead 二年生研修 2007-06-29 ～ 2007-06-30
2006 Student Lead 新入生研修 2006-06-30 ～ 2006-06-30
2003 Student Lead 新入生研修 2003-04-07 ～ 2003-04-08
2002 Student Lead 新入生研修 新入生 400 2002-04-05 ～ 2002-04-06
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2001 Student Lead 新入生研修 新入生 400 2001-04 ～ 2001-04
2001 Student Lead 工場見学 一年生 100 2002-02-01 ～ 2002-02-01
2000 Student Lead 新入生研修 新入生 400 2000-04 ～ 2000-04
2000 Student Lead 工場見学 一年生 100 2000-09 ～ 2000-09
1999 Student Lead 新入生研修 新入生 400 1999-04 ～ 1999-04
1999 Student Lead 工場見学 一年生 100 1999-09 ～ 1999-09
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Extracurricular activities, etc.
2011 Committee activities in campus and various administrative activities 入試委員会 採点委員
2011 Committee activities in campus and various administrative activities 入試委員会 作問委員
2011 Committee activities in campus and various administrative activities 工学部 数学学習支援担当
2011 Committee activities in campus and various administrative activities 工学部 数学教室まとめ役
2011 Committee activities in campus and various administrative activities 通信教育部 数学教室代表
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2010 Committee activities in campus and various administrative activities 入試委員会 採点委員
2010 Committee activities in campus and various administrative activities 入試委員会 作問委員
2010 Committee activities in campus and various administrative activities 工学部 数学学習支援担当
2010 Committee activities in campus and various administrative activities 入試委員会 作問委員
2010 Committee activities in campus and various administrative activities 工学部 数学教室まとめ役
2010 Committee activities in campus and various administrative activities 通信教育部 数学教室代表
2009 Committee activities in campus and various administrative activities 入試委員会 作問委員
2009 Committee activities in campus and various administrative activities 入試委員会 採点委員
2009 Homeroom teachers マネジメントサイエンス学科三年二組 担任
2009 Committee activities in campus and various administrative activities 工学部 数学教室まとめ役
2009 Committee activities in campus and various administrative activities 通信教育部 数学教室代表
2008 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2008 Committee activities in campus and various administrative activities 入試委員会 作問委員
2008 Committee activities in campus and various administrative activities 入試委員会 採点委員
2008 Homeroom teachers マネジメントサイエンス学科二年二組 担任
2008 Committee activities in campus and various administrative activities 工学部 数学教室まとめ役
2008 Committee activities in campus and various administrative activities 通信教育部 数学教室代表
2007 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2007 Committee activities in campus and various administrative activities 入試委員会 作問委員
2007 Committee activities in campus and various administrative activities 入試委員会 採点委員
2007 Homeroom teachers マネジメントサイエンス学科一年四組 担任
2007 Committee activities in campus and various administrative activities 工学部 数学教室まとめ役
2007 Committee activities in campus and various administrative activities 通信教育部 数学教室代表
2006 Committee activities in campus and various administrative activities 入試委員会 作問委員
2006 Committee activities in campus and various administrative activities 入試委員会 採点委員
2006 Homeroom teachers マネジメントサイエンス学科一年四組 担任
2006 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2005 Committee activities in campus and various administrative activities 入試委員会 作問委員
2005 Committee activities in campus and various administrative activities 入試委員会 採点委員
2005 Committee activities in campus and various administrative activities 礼拝・労作委員会 礼拝・労作担当
2005 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2004 Committee activities in campus and various administrative activities 入試委員会 作問委員
2004 Committee activities in campus and various administrative activities 入試委員会 採点委員
2004 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2003 Homeroom teachers 工学部機械工学科一年二組 担任
2003 Committee activities in campus and various administrative activities 入試委員会 作問委員
2003 Committee activities in campus and various administrative activities 入試委員会 採点委員
2003 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2002 Homeroom teachers 工学部機械工学科一年二組 担任
2002 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2002 Committee activities in campus and various administrative activities 入試委員会 作問委員
2002 Committee activities in campus and various administrative activities 入試委員会 採点委員
2001 Homeroom teachers 工学部機械工学科一年二組 担任
2001 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2001 Committee activities in campus and various administrative activities 入試委員会 作問委員
2001 Committee activities in campus and various administrative activities 入試委員会 採点委員
2000 Homeroom teachers 工学部機械工学科一年二組 担任
2000 Committee activities in campus and various administrative activities 教職課程委員会 教職担当
2000 Committee activities in campus and various administrative activities 入試委員会 作問委員
2000 Committee activities in campus and various administrative activities 入試委員会 採点委員
1999 Homeroom teachers 工学部機械工学科一年二組 担任
1999 Committee activities in campus and various administrative activities テクノフェスタ実行委員会 実行委員
1999 Committee activities in campus and various administrative activities 入試委員会 作問委員
1999 Committee activities in campus and various administrative activities 入試委員会 採点委員
1998 Committee activities in campus and various administrative activities 入試委員会 作問委員
1998 Committee activities in campus and various administrative activities 入試委員会 採点委員
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COMMUNITY ACTIVITIES
SOCIAL CONTRIBUTION ACTIVITIES
Achievements in fine arts / sports
