A Study on Mathematics Curriculum for Learning Functions Which Takes Account of the Articulation between Elementary and Secondary Schools and of the Applications of Functions

• Project/Area Number: 21530921
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Education on school subjects and activities
• Research Institution: Joetsu University of Education
• Principal Investigator: NUNOKAWA Kazuhiko 上越教育大学, 大学院・学校教育研究科, 教授 (60242468)
• Project Period (FY): 2009 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000); Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: 算数教育 / 数学教育 / 関数 / 数量関係 / 思考水準 / 教育学 / 学習活動系列

Research Abstract

This study was conducted under the assumption that one of the main reasons why many junior high-school students find difficulty in learning functions is their undeveloped understanding of the concept of function. Lessons for students learning functions were recorded and analyzed referring to the previous related works about learning functions. The analyses showed that even primary students demonstrated many behaviors which are considers as indices of rather developed understanding of functions. These analyses and the theoretical considerations suggested that what lacks in today's curriculum is the objectification of functions, rather than the facilitation of certain modes of reasoning. These results show that the aspect of objectifying should be considered in developing mathematics curriculum.

Research Products

• [Journal Article] 関数的内容の学習におけるきまりの関連づけと対象の構成(2) (2012)
  • Author(s): 布川和彦
  • Journal Title: 上越数学教育研究 Volume: 27 Pages: 1-12
  • NAID: 120004026877
  • URL: http://www.juen.ac.jp/g_katei/nunokawa/kaita/JJME27.pdf
• [Journal Article] 関数的内容の学習におけるきまりの関連づけと対象の構成 (2011)
  • Author(s): 布川和彦
  • Journal Title: 上越数学教育研究 Volume: 26 Pages: 1-12
  • NAID: 120002910152
  • URL: http://www.juen.ac.jp/g_katei/nunokawa/kaita/JJME26.pdf
• [Journal Article] 数量関係の学習と背後の現象や共変性の意識化 (2010)
  • Author(s): 布川和彦
  • Journal Title: 上越数学教育研究 Volume: 25 Pages: 1-10
  • NAID: 120002446313
  • URL: http://www.juen.ac.jp/g_katei/nunokawa/kaita/JJME25.pdf
• [Journal Article] 数量関係の学習と背後の現象や共変性の意識化. (2010)
  • Author(s): 布川和彦
  • Journal Title: 上越数学教育研究 25 Pages: 1-10
  • NAID: 120002446313
• [Presentation] グラフの全体的特徴に関わる4年生の学習 (2011)
  • Author(s): 布川和彦
  • Organizer: 日本数学教育学会
  • Place of Presentation: 上越教育大学
  • Year and Date: 2011-11-13
• [Presentation] 関数的見方と共変的見方に関する一考察 (2010)
  • Author(s): 布川和彦
  • Organizer: 日本数学教育学会
  • Place of Presentation: 宮崎大学
  • Year and Date: 2010-11-13
• [Remarks]
  • URL: http://www.juen.ac.jp/g_katei/nunokawa/kaita.html
• [Remarks]
  • URL: http://www.juen.ac.jp/g_katei/nunokawa/kaita/JJME27.pdf
• [Remarks]
  • URL: http://wwwjuen.acjp/g_katei/nunokawa/kaita/JJME26.pdf
• [Remarks]
  • URL: http://www.juen.ac.jp/g_katei/nunokawa/kaita/JJME25.pdf