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

本研究的目的是编制儿童数学学习潜能的测量工具。研究小组设计、测试、分析并重新测试了一个简短但多样的测试，我们称之为数学学习潜力测试。最后，我们提出了两种工具，一种是供13岁（8年级）儿童使用的，另一种是供9岁（4年级）儿童使用的，每种工具由20个问题组成，这些问题可以分为五个部分：逻辑推理、模式识别、操纵、灵活思维和应用。通过使用这些工具，本研究探讨了初中生和小学生的潜能和成就。结果，我们可以发现以下几点。1.不同学校学生的潜在能力平均值基本相同.儿童的学习可以促进潜在能力的发展。逻辑学习和应用成分的进步比灵活思维成分的进步更显著.不同学生的平均成绩差异很大。由于潜在能力的差异并不显著，因此我们可以掌握数学学习效果的差异。

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.