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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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 instrumentsdeveloped 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 mathematicseducation. 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 significantlyimproved (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%).
2011-03-01

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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