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Knowledge base construction by using an inference engine methodology

Research Project

Project/Area Number 22500231
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Library and information science/Humanistic social informatics
Research InstitutionGakushuin University

Principal Investigator

SHIROTA Yukari  学習院大学, 経済学部, 教授 (30337901)

Co-Investigator(Kenkyū-buntansha) HASHIMOTO Takako  千葉商科大学, 商経学部, 准教授 (80551697)
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Keywords推論エンジン法 / 解法プラン / 演繹推論 / 債券数学 / 金融数学 / 意味モデル / 公式データベース / web:VisualEconoMath / MAXIMA
Research Abstract

We have constructed the knowledge base for economical mathematics using the inference engine methods. Using the knowledge base, we have developed the e-Learning system titled “web:VisualEconoMath” with which we taught economics mathematics in our lectures.
The technical elements that we have developed in the research are (1) Solution plan XML parser
(2) Solution plan graph generator
(3) TeX image generator.
For the construction of “web:VisualEconoMath”, we invited Ms Stanworth, a member of Learning Technology Group of Oxford University Computing Services as the adviser. Through discussions with her, we have improved the system requirements. After the construction, we had input all word math problems appeared in the textbook titled “Business Mathematics” written by Shirota in “web:VisualEconoMath” so students can see and study the solution plan graphs on the web. We conducted a questionnaire in a class of business mathematics. The resultant data of the questionnaire showed effectiveness of … More the solution plan graph as teaching materials and the inference engine method as heuristics. We think that the solution plan graphs are so impressive teaching materials and that we should familiarize this in the world. As the first step, Shirota had a lecture about economical math in University of Indonesia. The students were the second-year students in department of electrical engineering. They said that the teaching materials were easy to understand. We thought that they understood the importance of the deductive reasoning.Concerning visualization of the math processes, we have developed many graphical materials and published on our web sites. We also published an e-book which offered manipulative graphical materials. The book contents are financial math, especially bond mathematics. The objective of teaching financial mathematics by graphics was accomplished. To diffuse these visualization methods, we had presentations or lectures in DNIS 2013 (Aizu in Japan), URKE 2012 (Jakarta, Indonesia) , and other lectures. Less

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (70 results)

All 2013 2012 2011 2010 Other

All Journal Article (25 results) (of which Peer Reviewed: 12 results) Presentation (24 results) Book (7 results) Remarks (14 results)

  • [Journal Article] Knowledge Visualization of the Deductive Reasoning for Word Problems in Mathematical Economics2013

    • Author(s)
      Yukari Shirota, Takako Hashimoto, and Pamela Stanworth
    • Journal Title

      Proc. of the DNIS (Databases in Networked Information Systems), Springer

      Volume: LNCS 7813 Pages: 117-131

    • DOI

      10.1007/978-3-642-37134-9_10

    • ISBN
      9783642371332, 9783642371349
    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ブラック=ショールズ方程式に関するシミュレーションとグラフィクスによる考察2013

    • Author(s)
      白田由香利
    • Journal Title

      学習院大学経済論集

      Volume: 49 Pages: 251-260

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Review of the “Web:How2SolveIt” Website2013

    • Author(s)
      Pamela Stanworth, and Yukari Shirota
    • Journal Title

      学習院大学経済論集

      Volume: 50 Pages: 1-18

    • NAID

      110009559593

    • Related Report
      2012 Annual Research Report
  • [Journal Article] 固有値の概念の教授法─経営学科に適した線型代数の教授法─2013

    • Author(s)
      白田由香利
    • Journal Title

      学習院大学経済論集

      Volume: 50 Pages: 31-42

    • NAID

      110009559597

    • Related Report
      2012 Annual Research Report
  • [Journal Article] 債券数学における解法プラン導出のための支援システムの提案2012

    • Author(s)
      橋本隆子,白田由香利
    • Journal Title

      日本経営数学会誌

      Volume: Vol.33、No.1/2 Pages: 43-56

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Animation Teaching Materials for Explaining a Recurrence Formula to Find the Bond Price with the Spot Rate2012

    • Author(s)
      Yukari Shirota, Takako Hashimoto
    • Journal Title

      Journal of Japan Society of Business Mathematics

      Volume: Vol.33、No.1/2 Pages: 57-69

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 債券数学における解法プラン導出のための支援システムの提案2012

    • Author(s)
      橋本隆子,白田由香利
    • Journal Title

      日本経営数学会誌

      Volume: 33 Pages: 43-56

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Animation Teaching Materials for Explaining a Recurrence Formula to Find the Bond Price with the Spot Rate2012

    • Author(s)
      Yukari Shirota, Takako Hashimoto
    • Journal Title

      Journal of Japan Society of Business Mathematics

      Volume: 33 Pages: 57-69

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Web Publication of Visual Teaching Materials for Business Mathematics2012

    • Author(s)
      Takako Hashimoto, and Yukari Shirota
    • Journal Title

      Proc. of 2nd Uncertainty Reasoning and Knowledge Engineering (URKE2012), IEEE

      Volume: August 14-15 Pages: 1-4

    • DOI

      10.1109/urke.2012.6319531

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Plausible Deductive Reasoning Plan for Business Mathematics Learners - Solution Plan Graph Generator -2012

    • Author(s)
      Yukari Shirota, and Takako Hashimoto
    • Journal Title

      Proc. of 2nd Uncertainty Reasoning and Knowledge Engineering (URKE2012), IEEE

      Volume: August 14-15 Pages: 5-8

    • DOI

      10.1109/urke.2012.6319584

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 経営数学問題解法における演繹推論に関する考察2012

    • Author(s)
      白田由香利
    • Journal Title

      学習院大学経済論集

      Volume: 49 Pages: 85-98

    • NAID

      110009421057

    • Related Report
      2012 Annual Research Report
  • [Journal Article] 経営数学問題解法のための演繹推論支援教材作成ツール2012

    • Author(s)
      白田由香利, 橋本隆子
    • Journal Title

      学習院大学経済論集

      Volume: 47 Pages: 303-311

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Maple によるポートフォリオのグラフィクス作成2011

    • Author(s)
      白田由香利
    • Journal Title

      日本経営数学会誌

      Volume: Vol.33、No.1/2 Pages: 61-70

    • NAID

      40019460854

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Mapleによるポートフォリオのグラフィクス作成2011

    • Author(s)
      白田由香利
    • Journal Title

      日本経営数学会誌

      Volume: 32 Pages: 61-70

    • NAID

      40019460854

    • Related Report
      2011 Annual Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Concept Model for Solving Bond Mathematics Problems2011

    • Author(s)
      Yukari Shirota, Takako Hashimoto, Tetsuji Kuboyama
    • Journal Title

      Proc.of 21st European Japanese Conference on Information Modelling and Knowledge Bases, Estonia

      Volume: June Pages: 6-10

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An Introduction to Virtual Learning Environments2011

    • Author(s)
      Paul Trafford, Yukari Shiorta
    • Journal Title

      Gakushuin Economics Papers

      Volume: 48 Pages: 1-8

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Ubiquitous e-Learning : Designing Web Systems for Economics and Business Mathematics2011

    • Author(s)
      Paul Trafford, Yukari Shiorta
    • Journal Title

      Gakushuin Economics Papers

      Volume: 48 Pages: 111-128

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Requirements for Business Mathematics e-Learning System Web:How2 SolveIt2011

    • Author(s)
      Paul Trafford, Yukari Shiorta
    • Journal Title

      Proc.of an annual meeting of Japan Society of Business Mathematics, Tokyo

      Volume: June Pages: 11-12

    • Related Report
      2011 Annual Research Report
  • [Journal Article] 金融工学数学のためのグラフィクス教材データベース-Bond Mathematics by Graphics-2011

    • Author(s)
      白田由香利, 橋本隆子, 久保山哲二
    • Journal Title

      学習院大学経済論集

      Volume: 47 Pages: 263-280

    • NAID

      110008007435

    • Related Report
      2010 Annual Research Report
  • [Journal Article] 金融数学ビジュアライゼーションを実現するためのデータベース提案2011

    • Author(s)
      白田由香利, 橋本隆子, 久保山哲二
    • Journal Title

      第3回データ工学と情報マネジメントに関するフォーラム(DEIM2011)

      Volume: 3

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Concept Model for Solving Bond Mathematics Problems2011

    • Author(s)
      Yukari SHIROTA, Takako HASHIMOTO, Tetsuji, KUBOYAMA
    • Journal Title

      Proc.of European-Japanese Conference on Information Modelling and Knowledge Bases

      Volume: 21(印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 金融工学におけるタームストラクチャーの視覚的教授法2010

    • Author(s)
      白田由香利, 橋本隆子
    • Journal Title

      学習院大学経済論集

      Volume: 47 Pages: 61-81

    • NAID

      110007603022

    • Related Report
      2010 Annual Research Report
  • [Journal Article] 債券数学のビジュアルな教授法2010

    • Author(s)
      白田由香利, 橋本隆子
    • Journal Title

      学習院大学経済論集

      Volume: 47 Pages: 83-94

    • NAID

      110007603018

    • Related Report
      2010 Annual Research Report
  • [Journal Article] 日本全体の数学力向上のための起爆剤としての商業数学・経営数学2010

    • Author(s)
      白田由香利
    • Journal Title

      日本経営数学会誌

      Volume: 30 Pages: 149-150

    • Related Report
      2010 Annual Research Report
  • [Journal Article] 金融工学数学における確率論の教授法-高校数学との関連づけ-2010

    • Author(s)
      白田由香利, 久保山哲二
    • Journal Title

      学習院大学経済論集

      Volume: 47 Pages: 151-161

    • NAID

      110007712721

    • Related Report
      2010 Annual Research Report
  • [Presentation] Knowledge Visualization of the Deductive Reasoning for Word Problems in Mathematical Economics2013

    • Author(s)
      Yukari Shirota, Takako Hashimoto, and Pamela Stanworth
    • Organizer
      Proc. of the DNIS (Databases in Networked Information Systems) 2013
    • Place of Presentation
      Heidelberg
    • Related Report
      2012 Final Research Report
  • [Presentation] Review of the "Web:How2SolveIt" Website2013

    • Author(s)
      Yukari Shirota and Pamela Stanworth
    • Organizer
      学習院大学経済論集
    • Related Report
      2012 Final Research Report
  • [Presentation] 固有値の概念の教授法-経営学科に適した線型代数の教授法-2013

    • Author(s)
      白田由香利
    • Organizer
      学習院大学経済論集
    • Related Report
      2012 Final Research Report
  • [Presentation] ブラック=ショールズ方程式に関するシミュレーションとグラフィクスによる考察2013

    • Author(s)
      白田由香利
    • Organizer
      学習院大学経済論集
    • Related Report
      2012 Final Research Report
  • [Presentation] Web Publication of Three-Dimensional Animation Materials for Business Mathematics - 10 Graphics for Economics Mathematics Part 2 -2012

    • Author(s)
      Yukari Shirota and Takako Hashimoto
    • Organizer
      Gakushuin Univ. Research Institute for Economics and Management
    • Related Report
      2012 Final Research Report
  • [Presentation] Web Publication of Visual Teaching Materials for Business Mathematics2012

    • Author(s)
      Takako Hashimoto, and Yukari Shirota
    • Organizer
      Proc. of 2nd Uncertainty Reasoning and Knowledge Engineering (URKE2012)
    • Place of Presentation
      Jakarta
    • Related Report
      2012 Final Research Report
  • [Presentation] Plausible Deductive Reasoning Plan for Business Mathematics Learners -Solution Plan Graph Generator -2012

    • Author(s)
      Yukari Shirota, and Takako Hashimoto
    • Organizer
      Proc. of 2nd Uncertainty Reasoning and Knowledge Engineering (URKE2012)
    • Place of Presentation
      Jakarta
    • Related Report
      2012 Final Research Report
  • [Presentation] A Deductive Reasoning Method for Solving Bond Mathematics Problems2012

    • Author(s)
      Yukari Shirota, Takako Hashimoto, and Tetsuji Kuboyama
    • Organizer
      Keynote talk of KCIC 2012 (The First Indonesian-Japanese Conf. on Knowledge Creation & Intelligent Computing)
    • Place of Presentation
      Surabaya, Indonesia
    • Related Report
      2012 Final Research Report
  • [Presentation] 経営数学問題解法における演繹推論に関する考察2012

    • Author(s)
      白田由香利
    • Organizer
      学習院大学経済論集
    • Related Report
      2012 Final Research Report
  • [Presentation] 経営数学問題解法のための演繹推論支援教材作成ツール2012

    • Author(s)
      白田由香利,橋本隆子
    • Organizer
      学習院大学経済論集
    • Related Report
      2012 Final Research Report
  • [Presentation] A Deductive Reasoning Method for Solving Bond Mathematics Problems2012

    • Author(s)
      Yukari Shirota, Takako Hashimoto, Tetsuji Kuboyama
    • Organizer
      KCIC 2012 (The First Indonesian-Japanese Conf.on Knowledge Creation & Intelligent Computing)
    • Place of Presentation
      EEPIS Press, 2012, Surabaya, Indonesia(招待講演)
    • Related Report
      2011 Annual Research Report
  • [Presentation] 4時間で分かる金融数学のつぼ-高校数学も含めた可視化教材-,雑誌「算数・数学の授業」2011

    • Author(s)
      白田由香利
    • Organizer
      数学教育実践研究会
    • Place of Presentation
      (招待講演)(No.143(大会報告号))
    • Year and Date
      2011-08-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] 金融数学ビジュアライゼーションを実現するためのデータベース提案2011

    • Author(s)
      白田由香利, 橋本隆子, 久保山哲二
    • Organizer
      第3回データ工学と情報マネジメントに関するフォーラム(DEIM2011)
    • Place of Presentation
      修善寺
    • Year and Date
      2011-02-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Concept Model for Solving Bond Mathematics Problems2011

    • Author(s)
      Yukari Shirota, Takako Hashimoto, and Tetsuji Kuboyama
    • Organizer
      Proc. of 21st European Japanese Conference on Information Modelling and Knowledge Bases
    • Place of Presentation
      Estonia
    • Related Report
      2012 Final Research Report
  • [Presentation] An Introduction to Virtual Learning Environments2011

    • Author(s)
      Paul Trafford and Yukari Shiorta
    • Organizer
      Gakushuin Economics Papers
    • Related Report
      2012 Final Research Report
  • [Presentation] Ubiquitous e-Learning: Designing Web Systems for Economics and Business Mathematics2011

    • Author(s)
      Paul Trafford and Yukari Shiorta
    • Organizer
      Gakushuin Economics Papers
    • Related Report
      2012 Final Research Report
  • [Presentation] 4 時間で分かる金融数学のつぼ -高校数学も含めた可視化教材-」2011

    • Author(s)
      白田由香利
    • Organizer
      数学教育実践研究会
    • Related Report
      2012 Final Research Report
  • [Presentation] Requirements for Business Mathematics e-Learning System Web:How2SolveIt2011

    • Author(s)
      Paul Trafford and Yukari Shiorta
    • Organizer
      Proc. of an annual meeting of Japan Society of Business Mathematics
    • Place of Presentation
      Tokyo
    • Related Report
      2012 Final Research Report
  • [Presentation] Visual Interactions for Solving Word Problems in Mathematics Lectures2010

    • Author(s)
      Yukari Shirota
    • Organizer
      EARCOME5(東アジア数学教育国際会議)
    • Place of Presentation
      Tokyo
    • Year and Date
      2010-08-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 数学ソフトウェアによる金融工学分野の数学教育の改善2010

    • Author(s)
      白田由香利, 橋本隆子
    • Organizer
      ICT利用による教育改善研究発表会予稿集,私立大学情報教育協会
    • Place of Presentation
      東京
    • Year and Date
      2010-08-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] Visual Instruction Methods for Bond Mathematics Education2010

    • Author(s)
      Yukari Shirota, Takako Hashimoto
    • Organizer
      Women In Mathematics
    • Place of Presentation
      Isaac Newton Institute in Cambridge, UK
    • Related Report
      2010 Annual Research Report
  • [Presentation] Visual Instruction Methods for Bond Mathematics Education2010

    • Author(s)
      Yukari Shirota, Takako Hashimoto
    • Organizer
      Proc.of an annual meeting of Japan Society of Business Mathematics
    • Place of Presentation
      Osaka
    • Related Report
      2010 Annual Research Report
  • [Presentation] Visual Educational Methods for Term Structure in Investment Science2010

    • Author(s)
      Yukari Shirota, Takako Hashimoto
    • Organizer
      Proc.of an annual meeting of Japan Society of Business Mathematics
    • Place of Presentation
      Osaka
    • Related Report
      2010 Annual Research Report
  • [Presentation] 金融工学の数学のための知識データベース構築の提案2010

    • Author(s)
      白田由香利, 橋本隆子, 久保山哲二
    • Organizer
      情報処理学会研究報告,データベースシステム(DBS)
    • Place of Presentation
      Tokyo
    • Related Report
      2010 Annual Research Report
  • [Book] 感じて理解する数学入門-身近な事例を動かして学ぶ-2012

    • Author(s)
      白田由香利,橋本隆子,飯高茂
    • Publisher
      e-Book
    • Related Report
      2012 Final Research Report
  • [Book] A Concept Model for Solving Bond Mathematics Problems, Frontiers in Artificial Intelligence and Applications, Information Modelling and Knowledge Bases XXIII2012

    • Author(s)
      Yukari Shirota, Takako Hashimoto, Tetsuji Kuboyama
    • Related Report
      2012 Final Research Report
  • [Book] 「感じて理解する数学入門―身近な事例を動かして学ぶ―」2012

    • Author(s)
      白田由香利,橋本隆子,飯高茂
    • Publisher
      オライリージャパン
    • Related Report
      2012 Annual Research Report
  • [Book] Frontiers in Artificial Intelligence and Applications, Volume 237, Information Modelling and Knowledge Bases XXIII2012

    • Author(s)
      Yukari Shirota, Takako Hashimoto, Tetsuji Kuboyama
    • Total Pages
      16
    • Publisher
      IOS Press Ebooks
    • Related Report
      2012 Annual Research Report
  • [Book] 感じて理解する数学入門-身近な事例を動かして学ぶ-2012

    • Author(s)
      白田由香里、橋本隆子、飯高茂
    • Total Pages
      130
    • Publisher
      オライリージャパン
    • Related Report
      2011 Annual Research Report
  • [Book] ビジネスインテリジェンスを育む教育,第5 章「社会科学系の数学教育における知識ベースの利用」2010

    • Author(s)
      白田由香利
    • Publisher
      白桃書房
    • Related Report
      2012 Final Research Report
  • [Book] ビジネスインテリジェンスを育む教育」,第5章:社会科学系の数学教育における知識ベースの利用2010

    • Author(s)
      白田由香利(共著)
    • Total Pages
      23
    • Publisher
      白桃書房
    • Related Report
      2010 Annual Research Report
  • [Remarks] 学習院大学経済学部が作成した白田HP「見て分かる数学」

    • URL

      http://www.gakushuin.ac.jp/univ/eco/professor/shirota.html

    • Related Report
      2012 Final Research Report
  • [Remarks] 白田由香利が作成した自分のHP

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/2013/

    • Related Report
      2012 Final Research Report
  • [Remarks] 学習院大学経済学部e-Learningシステムweb:VisualEconoMath

    • URL

      http://elearn.nantoka.com/HowToSolveIt/

    • Related Report
      2012 Final Research Report
  • [Remarks] Bond Mathematics by Graphics MAXIMAによる 経済数学グラフィクス10個:

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/private/MAXIMA/

    • Related Report
      2012 Final Research Report
  • [Remarks] Part2 -10 Graphics for Economics Mathematics -

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/private/MAXIMA/part2/

    • Related Report
      2012 Final Research Report
  • [Remarks] 学習院大学経済学部が作成した白田HP (見て分かる数学)

    • URL

      http://www.gakushuin.ac.jp/univ/eco/professor/shirota.html

    • Related Report
      2012 Annual Research Report
  • [Remarks] 白田由香利が作成した自分のHP

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/2013/

    • Related Report
      2012 Annual Research Report
  • [Remarks] 学習院大学経済学部e-Learningシステム web:VisualEconoMath

    • URL

      http://elearn.nantoka.com/HowToSolveIt/

    • Related Report
      2012 Annual Research Report
  • [Remarks] Bond Mathematics by Graphics MAXIMA

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/private/MAXIMA/

    • Related Report
      2012 Annual Research Report
  • [Remarks] Part2 -10 Graphics for Economics Mathematics -

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/private/MAXIMA/part2/

    • Related Report
      2012 Annual Research Report
  • [Remarks] Bond Mathematics by Graphics MAXIMAによる経済数学グラフィクス10個:

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/private/MAXIMA/

    • Related Report
      2011 Annual Research Report
  • [Remarks] Part2-10 Graphics for Economics Mathematics-

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/private/MAXIMA/part2/

    • Related Report
      2011 Annual Research Report
  • [Remarks] 白田由香利「中学生のための金融数学」、2012年3月18日、盛岡、後援:学習院経済経営研究所(GEM)、学習院桜友会岩手支部

    • Related Report
      2011 Annual Research Report
  • [Remarks] キーワード:"graphics10白田MAXIMA"で検索可能

    • URL

      http://www-cc.gakushuin.ac.jp/~20010570/private/MAXIMA/

    • Related Report
      2010 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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