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Research on intelligent mathematical formula input and advanced application to mathematics e-learning

Research Project

Project/Area Number 17K00501
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Learning support system
Research InstitutionMukogawa Women's University

Principal Investigator

Fukui Tetsuo  武庫川女子大学, 生活環境学部, 教授 (70218890)

Project Period (FY) 2017-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords数式入力インタフェース / 知的学習支援システム / 数学eラーニング / 知的UI / 機械学習 / ICT活用教育 / STEM教育支援 / 理数系IT活用教育 / グラフ作成ツール / 数式自動採点システム / 途中計算過程の評価
Outline of Final Research Achievements

In this research, the speed and accuracy of our proposed intelligent mathematical formula input UI for mathematics e-learning has improved by using artificial intelligence technology. As a result of our evaluation, the 85% accuracy has been obtained. In addition, we have established a more flexible interface that enables reliable construction of mathematical formulas by narrowing down transformation even if it is not included in the prediction candidates. Furthermore, as advanced applications of the UI, we developed a mathematical document editor that makes it easy to digitally record mathematical documents such as thinking processes during mathematics e-learning, and built a system to support the learning process including graph creation. Through our experiments, it has been verified that the effect, efficiency, and satisfaction were higher than before. The results were presented by several articles, and the development system was released on our server.

Academic Significance and Societal Importance of the Research Achievements

既存の数式入力UIはシステムに合わせて利用者が指示しなければならないため負担が大きい。提案のインテリジェントUIは、利用者の曖昧入力を補って予測してくれる。しかし、候補算出速度・精度に問題があった。本研究の学術的意義は、それらのアルゴリズムを改善し、実用レベルに引き上げた点にある。
本研究の社会的意義は、より柔軟で数式入力の負担が大きく改善されることが期待された数学文書エディタやそれと連携するグラフ作成ツールの提供により、紙と鉛筆でしかできなかった数学ノートや途中計算過程をデジタルデバイスにより記録できる環境を学習者に提供できるようになることである。

Report

(6 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (35 results)

All 2022 2021 2020 2019 2018 2017 Other

All Journal Article (19 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 10 results,  Open Access: 2 results) Presentation (15 results) (of which Int'l Joint Research: 7 results) Remarks (1 results)

  • [Journal Article] 数学eラーニングのための数式予測変換方式によるリッチテキストエディタの試作と評価2021

    • Author(s)
      白井詩沙香, 中原敬広,福井哲夫
    • Journal Title

      第36回教育学習支援情報システム(CLE)研究会 情報処理学会研究報告

      Volume: Vol. 2022-CLE-36, No.2 Pages: 1-6

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mathematics Classroom Collaborator (MC2)の数式入力機能の拡張2020

    • Author(s)
      白井詩沙香,福井哲夫,中原敬広,中村泰之,吉冨賢太郎,宮崎佳典,古川雅子,Sohee Kang, Marco Pollanen
    • Journal Title

      情報処理学会第82回全国大会講演論文集

      Volume: -

    • NAID

      170000182855

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Evaluation of Educational Graph Creation Tool based on Natural Mathematical Description2020

    • Author(s)
      Tetsuo Fukui
    • Journal Title

      IUI’20: Proceedings of the 25th International Conference on Intelligent User Interfaces Companion

      Volume: - Pages: 55-56

    • DOI

      10.1145/3379336.3381483

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Educational graph creation tool based on the natural mathematical description2019

    • Author(s)
      Tetsuo Fukui
    • Journal Title

      ACA 2019: Booklet of the 25th Conference on Applications of Computer Algebra

      Volume: - Pages: 190-190

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 自然な数学記述によるグラフ作成ツールの評価2019

    • Author(s)
      岩永和好,西田ななみ,藤井志帆,吉澤知里,福井哲夫
    • Journal Title

      数理解析研究所講究録 「数学ソフトウェアとその効果的教育利用に関する研究」

      Volume: 2142 Pages: 100-107

    • Related Report
      2019 Research-status Report
  • [Journal Article] 数学オンラインテスト問題の標準規格の提案と利用2019

    • Author(s)
      吉冨賢太郎 他7名
    • Journal Title

      日本数学教育学会 第101回全国算数・数学教育研究(沖縄)大会要旨集

      Volume: - Pages: 616-616

    • Related Report
      2019 Research-status Report
  • [Journal Article] 数学オンラインテスト問題標準仕様 MeLQS のための基本アルゴリズムの選定2019

    • Author(s)
      谷口哲也, 中村泰之, 川添充, 吉冨賢太郎, 福井哲夫, 白井詩沙香, 加藤克也, 中原敬広
    • Journal Title

      2019 PC Conference CIEC研究大会論文集

      Volume: - Pages: 121-124

    • Related Report
      2019 Research-status Report
  • [Journal Article] Developing a math e-learning question specification to facilitate sharing questions between different systems2019

    • Author(s)
      Mitsuru Kawazoe, Kentaro Yoshitomi, Yasuyuki Nakamura, Tetsuo Fukui, Shizuka Shirai, Takahiro Nakahara, Katsuya Kato, Tetsuya Taniguchi
    • Journal Title

      MSOR Connections-journals.gre.ac.uk

      Volume: Vol.17, No.3 Issue: 3 Pages: 49-56

    • DOI

      10.21100/msor.v17i3.990

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 自然な数学記述によるグラフ作成ツールの提案2019

    • Author(s)
      冨永侑里,遠藤菜津美,福井哲夫
    • Journal Title

      数理解析研究所講究録 「数学ソフトウェアとその効果的教育利用に関する研究」

      Volume: 2105 Pages: 69-78

    • Related Report
      2018 Research-status Report
  • [Journal Article] 数学記述によるグラフ作成ツールを使った数学教育モデル2019

    • Author(s)
      遠藤菜津美,冨永侑里,福井哲夫
    • Journal Title

      情報処理学会第81回全国大会講演論文集

      Volume: 4 Pages: 591-592

    • NAID

      170000180114

    • Related Report
      2018 Research-status Report
  • [Journal Article] Evaluation of Intelligent Input Interface for Entering Equations on Smartphone2019

    • Author(s)
      Shizuka Shirai, Tetsuo Fukui
    • Journal Title

      IUI '19: Proceedings of the 24th International Conference on Intelligent User Interfaces

      Volume: - Pages: 9-10

    • DOI

      10.1145/3308557.3308687

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Intelligent Editor for Authoring Educational Materials in Mathematics e-Learning Systems2018

    • Author(s)
      Shizuka Shirai, Tetsuo Fukui, Kentaro Yoshitomi, Mitsuru Kawazoe, Takahiro Nakahara, Yasuyuki Nakamura, Katsuya Kato, Tetsuya Taniguchi
    • Journal Title

      International Congress on Mathematical Software 2018, Lecture Notes in Computer Science

      Volume: 10931 Pages: 431-437

    • DOI

      10.1007/978-3-319-96418-8_51

    • ISBN
      9783319964171, 9783319964188
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] 数式オンラインテストの標準仕様 MeLQS に基づく問題実装2018

    • Author(s)
      吉冨賢太郎, 川添充, 中原敬広, 中村泰之, 福井哲夫, 白井詩沙香, 加藤克也, 谷口哲也
    • Journal Title

      第43回教育システム情報学会講演論文集

      Volume: - Pages: 335-336

    • Related Report
      2018 Research-status Report
  • [Journal Article] 数式曖昧入力変換方式による 数式入力インタフェースのスマートデバイス向けUIの試作2018

    • Author(s)
      白井詩沙香, 福井哲夫
    • Journal Title

      第43回教育システム情報学会講演論文集

      Volume: - Pages: 277-278

    • Related Report
      2018 Research-status Report
  • [Journal Article] Effective Use of Math E-Learning with Questions Specification2018

    • Author(s)
      Yasuyuki Nakamura, Kentaro Yoshitomi, Mitsuru Kawazoe, Tetsuo Fukui, Shizuka Shirai, Takahiro Nakahara, Katsuya Kato, Tetsuya Taniguchi
    • Journal Title

      Distance Learning, E-Learning and Blended Learning in Mathematics Education, ICME-13 Monographs, Springer

      Volume: - Pages: 133-148

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Extension of Output Function in MathTOUCH for the Production of Mathematical Materials2018

    • Author(s)
      Tetsuo Fukui and Shizuka Shirai
    • Journal Title

      Proceedings of the International Workshop on Mathematical Education for Non-Mathematics Students Developing Advanced Mathematical Literacy

      Volume: - Pages: 115-118

    • Related Report
      2017 Research-status Report
  • [Journal Article] Algorithm for Predicting Mathematical Formulae from Linear Strings for Mathematical Inputs2017

    • Author(s)
      Tetsuo Fukui
    • Journal Title

      Applications of Computer Algebra, Springer Proceedings in Mathematics & Statistics

      Volume: Vol.198 Pages: 137-148

    • DOI

      10.1007/978-3-319-56932-1_9

    • ISBN
      9783319569307, 9783319569321
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Predictive Algorithm for Converting Linear Strings to General Mathematical Formulae2017

    • Author(s)
      Tetsuo Fukui, Shizuka Shirai
    • Journal Title

      S. Yamamoto (Ed.): HIMI 2017, Part II, LNCS 10274

      Volume: - Pages: 15-28

    • DOI

      10.1007/978-3-319-58524-6_2

    • ISBN
      9783319585239, 9783319585246
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] 数式オンラインテストの標準仕様MeLQSの提案と仕様書作成ツールの試作2017

    • Author(s)
      吉冨賢太郎,川添充,中原敬広,中村泰之,福井哲夫,白井詩沙香,加藤克也,谷口哲也
    • Journal Title

      第42回教育システム情報学会全国大会予稿集

      Volume: - Pages: 447-448

    • Related Report
      2017 Research-status Report
  • [Presentation] 数学eラーニングのための数式予測変換方式によるリッチテキストエディタの試作と評価2022

    • Author(s)
      白井詩沙香, 中原敬広,福井哲夫
    • Organizer
      第36回教育学習支援情報システム(CLE)研究会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Educational graph creation tool based on the natural mathematical description2019

    • Author(s)
      Tetsuo Fukui
    • Organizer
      Applications of Computer Algebra (ACA2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 自然な数学記述によるグラフ作成ツールの評価2019

    • Author(s)
      岩永和好,西田ななみ,藤井志帆,吉澤知里,福井哲夫
    • Organizer
      数理解析研究所研究集会「数学ソフトウェアとその効果的教育利用に関する研究」
    • Related Report
      2019 Research-status Report
  • [Presentation] 数学オンラインテスト問題標準仕様MeLQSのための基本アルゴリズムの選定2019

    • Author(s)
      谷口哲也,中村泰之,川添充,吉冨賢太郎,福井哲夫,白井詩沙香,加藤克也,中原敬広
    • Organizer
      2019 PC Conference
    • Related Report
      2019 Research-status Report
  • [Presentation] 数学オンラインテスト問題の標準規格の提案と利用2019

    • Author(s)
      吉冨賢太郎 他7名
    • Organizer
      日本数学教育学会 第101回全国算数・数学教育研究(沖縄)大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 数学記述によるグラフ作成ツールを使った数学教育モデル2019

    • Author(s)
      遠藤菜津美,冨永侑里,福井哲夫
    • Organizer
      情報処理学会第81回全国大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Evaluation of Intelligent Input Interface for Entering Equations on Smartphone2019

    • Author(s)
      Shizuka Shirai, Tetsuo Fukui
    • Organizer
      The 24th annual meeting of the intelligent interfaces community and serves on intelligent user interfaces
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Intelligent Editor for Authoring Educational Materials in Mathematics e-Learning Systems2018

    • Author(s)
      Shizuka Shirai, Tetsuo Fukui, Kentaro Yoshitomi, Mitsuru Kawazoe, Takahiro Nakahara, Yasuyuki Nakamura, Katsuya Kato, Tetsuya Taniguchi
    • Organizer
      International Congress on Mathematical Software 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 自然な数学記述によるグラフ作成ツールの提案2018

    • Author(s)
      冨永侑里、遠藤菜津美、昇千尋、福井哲夫
    • Organizer
      数理解析研究所研究集会「数学ソフトウェアとその効果的教育利用に関する研究」
    • Related Report
      2018 Research-status Report
  • [Presentation] MeLQS: Mathematics e-Learning Question Specification -- a common base for sharing questions among different systems2018

    • Author(s)
      Kentaro Yoshitomi, Mitsuru Kawazoe, Takahiro Nakahara, Tetsuo Fukui, Shizuka Shirai, Katsuya Kato, Yasuyuki Nakamura, Tetsuya Taniguchi
    • Organizer
      E-Assessment in Mathematical Sciences
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 数式オンラインテストの標準仕様 MeLQS に基づく問題実装2018

    • Author(s)
      吉冨賢太郎, 川添充, 中原敬広, 中村泰之, 福井哲夫, 白井詩沙香, 加藤克也, 谷口哲也
    • Organizer
      第43回教育システム情報学会全国大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 数式曖昧入力変換方式による 数式入力インタフェースのスマートデバイス向けUIの試作2018

    • Author(s)
      白井詩沙香, 福井哲夫
    • Organizer
      第43回教育システム情報学会全国大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Extension of Output Function in MathTOUCH for the Production of Mathematical Materials2018

    • Author(s)
      Tetsuo Fukui and Shizuka Shirai
    • Organizer
      International Workshop on Mathematical Education for Non-Mathematics Students Developing Advanced Mathematical Literacy
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] MeLQS: Mathematics e-Learning Questions Specification - a common base for sharing questions among different systems2018

    • Author(s)
      Mitsuru Kawazoe, Kentaro Yoshitomi, Takahiro Nakahara, Yasuyuki Nakamura, Tetsuo Fukui, Shizuka Shirai, Katsuya Kato, Tetsuya Taniguchi
    • Organizer
      International Workshop on Mathematical Education for Non-Mathematics Students Developing Advanced Mathematical Literacy
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Predictive Algorithm for Converting Linear Strings to General Mathematical Formulae2017

    • Author(s)
      Tetsuo Fukui, Shizuka Shirai
    • Organizer
      HCI International 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Remarks] MathTOUCHで数式をもっと自由に。

    • URL

      https://mathtouch.org

    • Related Report
      2021 Annual Research Report

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Published: 2017-04-28   Modified: 2023-03-16  

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