Research on Developing the Instrument for Measuring Potential Ability for Mathematical Learning

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The Purpose of this study is to develop the instrument of measuring children's potential ability for mathematics learning. The teams devised, tested, analyzed, and re-tested a short but varied test, which we called the Potential test for Mathematics Learning. Finally, we proposed two kinds of instrument, one is intended to be used by children aged 13 (Grade 8) and another is used by children aged 9 (Grade 4).Each instrument is composed of 20 problems which can be categorized into five components : Logical Reasoning, Pattern recognition, Manupilation, Flexible thinking, and Application.By using these instruments, we investigated the potential ability and achievement of the lower secondary pupils and the elementary school children. As a result, we could find the following points.1. The average of potential ability of different schools were almost same.2. The potential ability can be advanced by children's learning. The advance about the component of logical learning and application was more remarkable than that of flexible thinking.3. The average of achievement of different students were very different. Because the difference of potential ability was not so remarkable, we could grasp the difference of the effect of mathematical learning.