本研究主要探討國小資優生與普通生在概數感能力與數學成就兩者間的相關和預測 。研究以台北市東西南北四區的資優生與普通生做玩研究對象，以概數感評量與數學成就為主要研究工具。所得資料以平均數、 二因子變異數分析、相關及迴歸等方式進行分析。茲將本研究之結果說明如下：

1. 不同類別與性別受試者在概數感能力之表現
資優生在概數感評量中，資優生的概數感優於普通生且具有顯著差異。不同性別在概數感能力的表現上未達顯著差異。
2. 不同類別與性別受試者在數學成就之表現
資優生與普通生在數學成就的得分，資優生顯著高於普通生，顯示資優生較普通生數學成就表現較好。性別間的數學成就，男生較女生高。
3. 概數感能力與數學成就之相關
概數感能力與數學成就之間具有低度的相關性，能夠預測未來數學成就的高低。
最後根據研究結果對教學、鑑定以及未來研究方向提出建議。

The comparison of number sense, mathematical achievement , and gender differences between gifted elementary students and normal students
Abstract
This research primarily compares the comparison of number sense, mathematical achievement , and gender differences between gifted elementary students and normal students. The target participants of the research are gifted elementary and normal students located in the northern, southern, eastern, and west part of the Taipei ,with The number sense assessment and mathematical achievement test as the primary research instrument. The analysis of the information obtained includes statistic average, two-way analysis of variance , correlation ,regression analysis. The main results of the research are as follows:
1. The performance of various types of subject with different genders on the number sense assessment.
Gifted in the number sense assessment , the number sense is better than normal students . Less than significant gender differences in the performance of the number sense ability .
2. The performance of various types of subject with different genders on the mathematical achievement test.
Gifted students and students in general mathematics achievement scores significantly higher than normal students. Mathematics achievement between the gender , males than females high .
3. Correlation between the number sense and mathematical achievement
Having a low degree of correlation between the ability of the approximate number sense and mathematical achievement , able to predict the level of future mathematics achievement .
Finally,recommendation on how to improve education and future research direction based on the result of the study.

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