統計對象的抽象

The Conception on Statistical Objects

蘇國樑(Kuo-Liang Su)

《科學教育學刊》 8卷2期 (2000/06) Pp. 199-213

https://doi.org/10.6173/CJSE.2000.0802.05

摘要

本文主要在探討統計對象的幾個特有層面的抽象性質：一、統計對象的內容；二、統計對象的特殊內容；三、統計對象的特殊高度；四、統計對象的抽象方法。這四方面的抽象不僅關係著統計的內容、形式符號、意義和所指(reference)，亦關係著統計的教學活動和相關的發展。透過探討統計對象的抽象性，不僅能更深刻地認識到統計分配的意義，並且了解到統計分配是構成統計的理想元素或是理想的單位“數”。這樣的結果不僅可以反省和反映出對統計學的學科目標和統計形式的意義，並提供統計和其相關的研究發展的目標和方向；而且也指出統計教學的具體目標和方向，不僅是在傳承一些統計中的數學方法和技巧，並且還要是傳授對分配和其相關的性質或規律的統計知識。

關鍵字

統計對象 ； 統計結構 ； 整體認識 ； 統計同構 ； 理想元素

並列摘要

This article concerned with four aspects of statistical objects: 1. the content of statistical objects; 2. the particular content of statistical objects; 3. the particular height of statistical objects; 4. the conceptual fundations objects. The abstractions of this 4 aspects are connected to the content, formal symbols, meanings, and references. In addition, they are also related to the development of understanding during instruction. The study of conceptions of statistical objects can offer not only knowledge about statistcal objects, but also that a distribution is the ideal basic element or unit. This results not only reflect the objectives of statistics and the meanings of statistical forms, but can provide statistical researchers direction for future research. The results also have strong implications for statistics instruction. The purpose of statistics instruction is not only in transferring methods and skills to students, but also to transfer statistical knowledge about the nature of distributions to students.

並列關鍵字

statistical object ； statistical structure ； holistic knowing ； statistical isomorphism ； and ideal element