潜在的な数学的能力の測定用具の活用化に向けた開発的研究(Ⅳ)−測定用具の活用方法と潜在力育成の可能性の検討−

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Title
潜在的な数学的能力の測定用具の活用化に向けた開発的研究(Ⅳ)−測定用具の活用方法と潜在力育成の可能性の検討−
Title Alternative
Research on Development and Utilization of Instruments of Potential Ability for Learning Mathematics (IV) : Investigation of the ways to utilize instruments and the possibility of improving pupils’ potential ability
Author
著者 中原 忠男
著者(別表記) NAKAHARA Tadao
著者 山田 篤史
著者(別表記) YAMADA Atsushi
著者 清水 紀宏
著者(別表記) SHIMIZU Norihiro
著者 山口 武志
著者(別表記) YAMAGUCHI Takeshi
著者 小山 正孝
著者(別表記) KOYAMA Masataka
著者 飯田 慎司
著者(別表記) IIDA Shinji
著者 影山 和也
著者(別表記) KAGEYAMA Kazuya
著者 植田 敦三
著者(別表記) UEDA Atsumi
Abstract

The purpose of our research is to develop instruments to measure pupils’ “potential ability for learning mathematics” (PALM), and to study theoretically and empirically the ways to utilize the instruments for improving mathematics education at elementary and lower secondary school levels. In this paper, we aimed to make clear both the ways to utilize the instruments
developed to measure pupils’ PALM and the importance of studying their PALM, and to investigate the possibility of improving 8th graders’ PALM. First, about the ways to utilize the instruments, we proposed a method to analyze pupils’ mathematical learning ability in terms of “the divided attainment (attainment÷potential ability)”
and “the subtracted attainment (attainment − potential ability)”. Moreover, we pointed out the importance of studying pupils’ PALM and instruments to measure PALM from a viewpoint of improving pupils’ mathematical learning ability and considering aims/objectives in mathematics
education. Second, for the possibility of improving pupils’ potential ability, we had taught 98 pupils in 8th grade some materials for potential ability, and analyzed data from pre- and post-teaching by using our instruments to measure pupils’ PALM. As a result of the analysis, the followings were found out. ・ There was significant improvement (p < .01) in total score of pupils’ PALM from pre-teaching to post-teaching. The components of “pattern recognition” and “flexible thinking” were significantly
improved (p < .01), and the component of“ manipulation” was significantly improved (p < .05). ・ As an effect of teaching some materials for potential ability, 15 out of 23 pupils classified into the lower PALM group (total score was less than 60%) progressed up into the higher PALM group (total score was equal or more than 60%).

Subject
370 Education
Keyword
潜在的な数学的能力 (Potential Ability for Learning Mathematics)
数学達成度 (Mathematical Attainment)
学力 (Learning Ability)
知能 (Intelligence)
測定用具 (Instruments to Measure)
Publish Date
2011-03-01
Publication Title
環太平洋大学研究紀要
Publication Title Alternative
Bulletin of International Pacific University
Volume
4
Start Page
9
End Page
19
ISSN
1882-479X
NCID
AA1230704X
Publisher
環太平洋大学
Copyright Holders
環太平洋大学
Contents Type
Departmental Bulletin Paper
language
Japanese
File Version
publisher