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Improving the mathematical input efficiency for mathematical e-assessment systems using an intelligent predictive algorithm

Research Project

Project/Area Number 26330413
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)

Co-Investigator(Renkei-kenkyūsha) NAKAMURA Katsunori  武庫川女子大学, 生活環境学部, 講師 (10413329)
ONO Kentarou  武庫川女子大学, 短期大学部・幼児教育学科, 教授 (50268538)
Research Collaborator SHIRAI Shizuka  
FURUKAWA Akira  
SUGINO Ryuuzaburou  
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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 / 機械学習 / 理数系IT活用教育 / 知的インタフェース / 知的インターフェース / 自然言語処理 / 知的UI
Outline of Final Research Achievements

This study aimed to address shortcomings for improving the mathematical input efficiency for mathematical e-assessment systems. We have proposed a predictive algorithm in terms of a perceptron machine learning and developed an intelligent mathematical input user interface (UI), named MathTOUCH, by implementing such the algorithm. We examined the prediction accuracy using a dataset of general 4,000 mathematical formulae from five volumes of a mathematics textbook. The results showed that the accuracy of top ten ranking with our proposed algorithms achieved 85.2%. Finally, we conducted two experiments, i.e. a performance survey and an eight-week learning experiment, to evaluate the efficacy of MathTOUCH implementing STACK e-assessment system. As a result, we have shown that MathTOUCH enabled participants to enter mathematical expressions approximately 1.2 to 1.6 times faster than the standard interfaces and had a high level of user satisfaction in regards to mathematics input usability.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (27 results)

All 2017 2016 2015 2014 Other

All Journal Article (12 results) (of which Peer Reviewed: 10 results,  Open Access: 2 results,  Acknowledgement Compliant: 10 results) Presentation (14 results) (of which Int'l Joint Research: 5 results,  Invited: 2 results) Remarks (1 results)

  • [Journal Article] 数式予測アルゴリズムを実装した数式入力インタフェースMathTOUCHの試作と評価2017

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

      情報処理学会研究会報告集

      Volume: Vol.2017-CE-139 No.7 Pages: 1-6

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] MathTOUCH: Mathematical Input Interface for E-Assessment Systems2016

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

      MSOR Connections EAMS special issue

      Volume: Vol.15, No.2 Pages: 70-75

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Evaluation of a Predictive Algorithm for Converting Linear Strings to Mathematical Formulae for an Input Method2016

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

      Mathematical Aspects of Computer and Information Sciences (MACIS 2015, Springer)

      Volume: LNCS 9582 Pages: 421-425

    • DOI

      10.1007/978-3-319-32859-1_36

    • ISBN
      9783319328584, 9783319328591
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 多種ある数式自動採点システムの統一的解答入力の提案2016

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

      2016 PC Conference CIEC研究大会論文集

      Volume: - Pages: 11-12

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 数式曖昧表記変換型数式入力の機械学習による数式予測と精度2015

    • Author(s)
      福井哲夫
    • Journal Title

      ARG Web インテリジェンスとインタラクション研究会第6回研究会予稿集

      Volume: Vol.6 Pages: 67-74

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 数式自動採点システムSTACKの行列問題における解答入力方法改善の取り組み2015

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

      情報処理学会論文誌「教育とコンピュータ」

      Volume: Vol.1, 3号 Pages: 22-29

    • NAID

      170000092952

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 数式自動採点システムにおける数式入力インタフェースの提案と評価2015

    • Author(s)
      白井 詩沙香,仲村裕子,福井 哲夫
    • Journal Title

      情報処理学会論文誌「教育とコンピュータ」

      Volume: Vol.1, 3号 Pages: 11-21

    • NAID

      170000147373

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Predictive Algorithm from Linear String to Mathematical Formulae for Math Input Method2015

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

      Booklet of Abstracts of the 21st conference on Applications of Computer Algebra

      Volume: ACA2016 Pages: 17-22

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] 機械学習による数式予測アルゴリズムを実装したMathTOUCHの試作2015

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

      京都大学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: Vol.1978 Pages: 212-214

    • Related Report
      2015 Research-status Report
  • [Journal Article] Development and Evaluation of a Web-Based Drill System to Master Basic Math Formulae Using a New Interactive Math Input Method2014

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

      International Congress on Mathematical Software 2014, Lecture Notes in Computer Science, Springer

      Volume: Vol. 8592 Pages: 621-628

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] 数式自動採点システムSTACKの行列問題における解答入力方法改善の取り組み2014

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

      情報教育シンポジウム論文集

      Volume: Vol.2014, 2号 Pages: 207-212

    • NAID

      170000092952

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 数式自動採点システムSTACKにおける数式入力方法の改善2014

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

      コンピュータ&エデュケーション

      Volume: Vol.37 Pages: 85-90

    • NAID

      130005073833

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 数学を活かす計算機と計算機を活かす数学2017

    • Author(s)
      福井哲夫
    • Organizer
      農工大数学セミナー2017
    • Place of Presentation
      東京農工大学(東京都・小金井市)
    • Year and Date
      2017-03-21
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 数式予測アルゴリズムを実装した数式入力インタフェースMathTOUCHの試作と評価2017

    • Author(s)
      白井詩沙香,仲村裕子,福井哲夫
    • Organizer
      情報処理学会 コンピュータと教育研究会 139回研究発表会
    • Place of Presentation
      津田塾大学(東京都・小平市)
    • Year and Date
      2017-03-11
    • Related Report
      2016 Annual Research Report
  • [Presentation] MathTOUCH: Mathematical Input Interface for E-Assessment Systems2016

    • Author(s)
      Shizuka Shirai, Tetsuo Fukui
    • Organizer
      The International Conference on E-Assessment in Mathematical Sciences 2016 (EAMS 2016)
    • Place of Presentation
      Newcastle University (Newcastle upon Tyne,United Kingdom)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 多種ある数式自動採点システムの統一的解答入力の提案2016

    • Author(s)
      白井詩沙香,福井哲夫
    • Organizer
      2016 PC Conference
    • Place of Presentation
      大阪大学(大阪府・吹田市)
    • Year and Date
      2016-08-10
    • Related Report
      2016 Annual Research Report
  • [Presentation] STACK PROJECT IN JAPAN; ITEM BANK SYSTEM, MATH INPUT INTERFACE AND QUESTION SPECIFICATION2016

    • Author(s)
      Yasuyuki Nakamura, Tetsuya Taniguchi, Kentaro Yoshitomi, Shizuka Shirai, Tetsuo Fukui and Takahiro Nakahara
    • Organizer
      13TH International Congress on Mathematical Education
    • Place of Presentation
      Congress Center Hamburg (Hamburg, Germany)
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] MATHTOUCH WEB: ONLINE MATH INPUT EDITOR FOR INTERACTIVELY CONVERTING LINEAR STRINGS2016

    • Author(s)
      Shizuka Shirai, Tetsuo Fukui
    • Organizer
      13TH International Congress on Mathematical Education
    • Place of Presentation
      Congress Center Hamburg (Hamburg, Germany)
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] MathTOUCHプロジェクト:数学eラーニングにおける数式入力改善の取り組み2016

    • Author(s)
      白井詩沙香,福井哲夫
    • Organizer
      日本数式処理学会合同分科会
    • Place of Presentation
      名古屋大学(愛知県・名古屋市)
    • Year and Date
      2016-01-23
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Evaluation of a Predictive Algorithm for Converting Linear Strings to Mathematical Formulae for an Input Method2015

    • Author(s)
      Shizuka Shirai, Tetsuo Fukui
    • Organizer
      Sixth International Conference on Mathematical Aspects of Computer and Information Sciences (MACIS2015)
    • Place of Presentation
      Berlin (Germany)
    • Year and Date
      2015-11-11
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] MathTOUCH with Predictive Algorithm from Linear String to Math Formulae2015

    • Author(s)
      白井詩沙香,福井哲夫
    • Organizer
      京都大学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」
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2015-08-31
    • Related Report
      2015 Research-status Report
  • [Presentation] Predictive Algorithm from Linear String to Mathematical Formulae for Math Input Method2015

    • Author(s)
      Tetsuo Fukui, Shizuka Shirai
    • Organizer
      21st Conference on Applications of Computer Algebra (ACA2015)
    • Place of Presentation
      Kalamata(Greece)
    • Year and Date
      2015-07-20
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 数式曖昧表記変換型数式入力の機械学習による数式予測と精度2015

    • Author(s)
      福井哲夫
    • Organizer
      第6回ARG Webインテリジェンスとインタラクション研究会 (ARG SIG-WI2)
    • Place of Presentation
      大阪大学(大阪府・豊中市)
    • Year and Date
      2015-06-13
    • Related Report
      2015 Research-status Report
  • [Presentation] JavaScript版数式入力インタフェースMathTOUCHの試作2014

    • Author(s)
      白井 詩沙香,福井 哲夫
    • Organizer
      京都大学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」
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2014-09-01 – 2014-09-03
    • Related Report
      2014 Research-status Report
  • [Presentation] 数式自動採点システムSTACKの行列問題における解答入力方法改善の取り組み2014

    • Author(s)
      白井 詩沙香,福井 哲夫
    • Organizer
      情報処理学会情報教育シンポジウム SSS2014
    • Place of Presentation
      ホテルオリビアン小豆島(香川県・小豆郡土庄町)
    • Year and Date
      2014-08-24 – 2014-08-26
    • Related Report
      2014 Research-status Report
  • [Presentation] Development and Evaluation of a Web-Based Drill System to Master Basic Math Formulae Using a New Interactive Math Input Method2014

    • Author(s)
      Shizuka Shirai and Tetsuo Fukui
    • Organizer
      International Congress on Mathematical Software 2014
    • Place of Presentation
      ソウル(大韓民国)
    • Year and Date
      2014-08-05 – 2014-08-09
    • Related Report
      2014 Research-status Report
  • [Remarks] 数式入力インタフェースMathTOUCH

    • URL

      http://math.mukogawa-u.ac.jp

    • Related Report
      2016 Annual Research Report 2015 Research-status Report 2014 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2023-03-16  

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