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題 名 | 國小學童數學直覺法則之認知評量分析與性別差異探討=Application of Cognitive Assessment on the Usage of Intuitive Rule for Pupils With Comparisons between Genders |
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作 者 | 林原宏; 郭竹晏; | 書刊名 | 教育研究與發展期刊 |
卷 期 | 6:4 2010.12[民99.12] |
頁 次 | 頁105-136 |
分類號 | 521.36 |
關鍵詞 | 直覺法則; 混合Rasch模式; 認知診斷; 潛在類別; Cognition diagnosis; Intuitive rules; Latent class; Mixed Rasch model; |
語 文 | 中文(Chinese) |
中文摘要 | 直覺理論指出學童在數學問題常使用「More A─More B」、「Same A─Same B」、「無限細分」、「有限細分」等四種直覺法則(intuitive rule),這些法則會影響學童的數學解題表現。然而,學童使用這四個直覺法則的相關性和分群的問題,以及不同性別在表現上的差異性,文獻上卻甚少探討。基於此,本研究以國小五年級學童為對象,探討這四種直覺法則之相關性,利用多元計分混合Rasch模式(polytomous mixed Rasch model)進行直覺法則使用之分群,並進行性別表現差異探討。多元計分混合Rasch模式結果指出,全體學童和不同性別學童都可分成三個潛在類別,每個類別呈現的直覺法則使用各具特徵。不同性別之直覺法則使用相關性有所不同,但在各類別的人數分佈上並無差異。本研究結果有助於直覺法則的進階瞭解,以及提供教師採取同質性分組及補救教學之參考。 |
英文摘要 | Intuitive theory had generated four intuitive rules about mathematics problems. Hence, intuitive rules played an important role in the mathematics education and mathematical concept construction. Research into this issue improved understanding of mathematical concept construction. However, most of the research focused on performance of intuitive rules and little was known about the dependence and relationship of these intuitive rules with comparisons between genders. The purpose of this study was to investigate latent class of rule usage and relationship on intuitive rules for pupils. The sample included fifth graders and polytomous mixed Rasch model was used to classify pupils. According to the results of data analysis, relationship among four intuitive rules varied. There were three latent classes and each latent class displayed its characteristics on intuitive rule usage. Relationship of intuitive rule usage between genders varied, but there was no significant difference in distribution of latent class for genders. Finally, results of this study improved understanding of intuitive rules and provide references for teachers on instruction. |
本系統中英文摘要資訊取自各篇刊載內容。