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Developing an Integrated Learning Environment to Foster "Function Sense" by Using Technology in an e-Learning System

Research Project

Project/Area Number 16500564
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionTsukuba Gakuin University (2005-2006)
Tokyo Kasei Gakuin Tsukuba Junior College (2004)

Principal Investigator

KAKIHANA Kyoko  Tsukuba Gakuin University, Faculty of Informatics & Communication, Professor, 情報コミュニケーション部, 教授 (50248754)

Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywordsfunction / Function Sense / e-learning / an Integrated learning environment / Modeling / Technology / 関数的な考え / 表計算ソフト / 表,グラフ,式 / グラフ電卓 / 動的図形環境 / 文科系学生 / 高校生 / 式とグラフデータ / Dynamic Geometry
Research Abstract

More than 20 years have passed since technologies were incorporated into mathematics education, and now everybody can use these technologies at any place and time. Many researchers have showed the effects of learning with technology. And yet this methodology is not widely used in schools. These days the pace of change is so fast and we are surrounded daily by all kinds of quantitative information, about which we have to make judgments depending on the situation. For students living in such a changing world, developing the ability to model real phenomena with quantitative information and to analyze various types of patterns and functional relationships. Technology is a very helpful tool to foster this kind of ability. We call the ability to use numerical data, graphs and expressions appropriately as a tool, "Function Sense". An e-textbook on a CD-R and web pages (http://www.tsukuba-g.ac.jp/t/kakihana/kansu/) was developed to foster "Function Sense". The materials developed in this study provide many opportunities to use technology for observing changing situations. Many interesting materials are included. Through these materials, students can explore the characteristics of many kinds of functions in daily life and solve problems. To do these activities, students need Microsoft Office Excel, Cabri Geometry II plus and Cabri 3D (developed by Cabrilog) with the plug-ins. Each of these softwares is accessible to all learners. Through spreadsheets, both students and teachers can change numeric data linked to the graph to explore the characteristics of functions and to solve a problem. In addition, by using DGS they can explore a function drawn by moving geometric figures on a computer screen. As a result, students can tackle each problem thoroughly and can observe the change of graph, numeric data and mathematical expression simultaneously and thus find the characteristics of functions.

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (8 results)

All 2007 2006 2005 2004

All Journal Article (8 results)

  • [Journal Article] 情報基礎科目の中でのリメディアル教育のための数学の導入の検討-"関数センス"育成のための表計算ソフトExcelの課題の利用-2007

    • Author(s)
      垣花 京子
    • Journal Title

      筑波学院大学紀要 第2集

      Pages: 9-9

    • NAID

      110006163946

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 報基礎科目の中でのリメディアル教育のための数学の導入の検討 -"関数センス"育成のための表計算ソフトExcelの課題の利用-2007

    • Author(s)
      垣花 京子
    • Journal Title

      筑波学院大学紀要 第2集

      Pages: 9-9

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Learning Mathematics in an Information Literacy Education for a Remedial Class -Using Tasks with Spreadsheet Excel for developing "functions sense"-2006

    • Author(s)
      Kyoko Kakihana
    • Journal Title

      Tsukuba Gakuin University Bulletin Vol.2.

      Pages: 15-23

    • NAID

      110006163946

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] An Integrated Learning Environment for Developing "Function Sense" (2) - A Simulation of a Velocity to introduce a Calculus on Spreadsheets-2005

    • Author(s)
      Chieko Fukuda, Kyoko Kakihana
    • Journal Title

      10^<th> Asian Technology Conference in Mathematics Proceedings

      Pages: 117-124

    • Related Report
      2005 Annual Research Report
  • [Journal Article] "関数センス"を育てる統合的な学習環境の検討2-表計算ソフトを利用した速度から微分の導入-2004

    • Author(s)
      福田千枝子, 垣花京子
    • Journal Title

      第37回 数学教育論文発表会論文集

      Pages: 517-522

    • NAID

      110007175325

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Activities in new curriculums for Excellent Students-Trials in Super Science High schools in Japan-2004

    • Author(s)
      Kyoko Kakihana, Suteo Kimura
    • Journal Title

      ICME10:Topic Study Group 4

      Pages: 121-124

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 自学自習を支援するための学生による学生のためのeラーニングコンテンツの開発と相互評価2004

    • Author(s)
      垣花京子, 山野井一夫, 堀越真理子
    • Journal Title

      平成16年度全国大学情報教育方法研究発表会予稿集

      Pages: 36-37

    • Related Report
      2004 Annual Research Report
  • [Journal Article] An Integrated Learning Environment for Developing "Function Sense"-A Simulation of a Velocity to introduce a Calculus on Spreadsheets-2004

    • Author(s)
      Kyoko Kakihana, Chieko Fukuda
    • Journal Title

      ATCM2004 (ポスター)

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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