國小高年級學童分數概念量表之設計研究

The Design of "The Rating Scale of Fraction for 5(superscript th) and 6(superscript th) Graders"

詹婉華(Wan-Hua Chan) ； 呂玉琴(Yuh-Chyn Leu)

《科學教育學刊》 12卷2期 (2004/06) Pp. 241-263

https://doi.org/10.6173/CJSE.2004.1202.05

摘要

在國小數學課程中，分數概念與小數、百分率、比、除法等概念關係密切，而這些概念也都是國小學童必須學習的重要概念。雖然國內有關國小學童分數概念的研究不少，然而，國內缺乏具有良好信效度的分數概念評量工具。本研究的研究目的在編製一份有良好信度與效度之「國小高年級學童分數概念量表」。本研究是以筆測試題爲研究工具，以多階段抽樣抽取全台灣的研究樣本，並以紙筆測驗方式進行資料的蒐集，樣本爲台灣地區國小高年級學童，共2612人。經共同因素分析檢驗「國小高年級分數概念量表」包含三個分數子概念：等分概念、單位量概念、等值分數概念。本研究在信度考驗方面，建立了各分量表及總量表的內部一致性信度；在效度考驗方面，建立了內容效度、構念效度。研究發現，「國小高年級分數概念量表」具有不錯之信、效度。

關鍵字

分數概念 ； 分數概念量表 ； 共同因素分析 ； 高年級學童

並列摘要

Within the elementary math curriculum, fraction is closely related to decimal, percentage, ratio, and division. And these concepts are among the important concepts that elementary students must learn. There is much domestic research on the concept of fraction for elementary students. There is, however, a lack of assessment tools with decent reliability and validity for the concept of fraction. The purpose of this research is to design an assessment to measure the understanding of the concept of fraction for 5(superscript th) and 6(superscript th) graders, namely ”The rating scale of fraction for 5(superscript th) and 6(superscript th) graders”. The sample for this study was drawn from Taiwan through multistage sampling. The sample contained a total of 2612 students from 5(superscript th) and 6(superscript th) grade. The rating scale of fraction for 5(superscript th) and 6(superscript th) graders was analyzed using common factor analysis and it includes three sub-concepts of fraction: the concept of equal dividing, the concept of unit, and equivalent fraction. The internal coherence reliability was determined for each sub rating scale and the overall rating scale. Content validity and constructive validity were also established. The results show that ”the rating scale of fraction for 5(superscript th) and 6(superscript th) graders” has satisfactory reliability and validity.

並列關鍵字

Fraction ； 5(superscript th) and 6(superscript th) Graders ； Common Factor Analysis ； The Rating Scale of Fraction

參考文獻

林福來、黃敏晃、呂玉琴(1996)。分數啓蒙的學習與教學之發展性研究。科學教育學刊。4(2)，161-169。

Behr, M. J.,Post, T. R.(1988).Teaching mathematics in grades K-8, 190-229.Boston, MA:Allyn and Bacon.

Bergeron, M, J.,Herscovics, H.(1987).Paper presented at the 11th International Conference for the Psychology of Mathematics Education.

Bock, R. D.,Aitkin, M.(1981).Marginal maximum likelihood estimation of item parameters: An application of an EM algorithm.Psychometrika.46,443-459.

Cattell, R. B.(1966).The scree test for the number of factors.Multivariate behavioral research.1,245-276.