中心館藏網址 http://tulips.ntu.edu.tw/record=b2192323*cht

[ 摘要 ]
本研究的目的在探討不同文化背景的兒童在位值概念及其相關知識
的發展情形。因此選取山區山地籍（原住民）、山區平地籍以及市區平
地籍的二、三、四年級135位兒童為樣本，以改編自 S. H. Ross的訪談
測驗實施個別訪談。一方面對兒童的表現行為作質的分析，一方面也以
二因子變異數分析（ANOVA）及試題關聯結構分析（IRS）進行量的分析
。結果發現如下 ：
1、在不同年級間，四年級兒童的數概念顯著優於二、三年級；計數知
識、位值概念也顯著優於二年級。這些概念可能是隨年齡成長漸趨
成熟。
2、在地區籍別間，山區平地籍與市區平地籍之間的差異未達顯著水準
，但這兩組均顯著優於山區山地籍兒童。亦即在地區間無顯著差異
，在籍別之間有顯著的差異。
3、二、三年級原住民兒童在唱數及數數方面與平地籍兒童有極顯著的
差異，研究者認為這種差異是受原住民傳統文化的影響。
4、山地地區兒童能瞭解教具積木表徵之數字位值對應問題，但不一定
能瞭解生活實物表徵之位值數字對應問題，這可能是山區兒童較缺
乏有關數的活動與經驗。

[ 英文摘要 ]
The purpose of this study was to investigate the place value concept and its relative knowladge of the children with different cultural background. Twelve tasks, adapted from S.H.Ross, which assessed children''''''''s understanding in place value concept, numeration knowladge and number concept, were administered to 135 second-, third- and forth-grade children of aboriginal and non-aboriginal from mountainous area and city area in Nantou county. The subjects were individually interviewed. Their performences on these tasks were qualitatively analyzed and then were quantitative analyzed using two-way ANOVA and IRS (Itermrelationalstructure analysis).
The results revealed the following:
1. Forth graders performed better then third- and second graders on number concept, numerationknowladge and place value tasks. It suggested that these concepts probably getting more development by years.
2.There was significent difference between aboriginals and non-aboriginals on number concept, numeration knowladge and place value tasks, but there was no significent difference between non-aboriginals of mountainous area and city area.
3.There was significent difference among the second and third grades children of aboriginal and non-aboriginal in oral counting and object counting. It suggested that the difference probably due to the influence of the cultural of aboriginal.
4.For children in the mountainous area, the corespondence between the value of a digit in a number and its block representation acquired in school did not relate to their daily life situations.