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題 名 | 基於認知成分之代數推理測驗自動化命題模式之發展=Development of a Cognitive Component-based Computerized Algebraic Reasoning Test |
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作 者 | 蘇義翔; 洪碧霞; | 書刊名 | 人文社會學報. 國立臺灣科技大學 |
卷 期 | 11:2 2015.06[民104.06] |
頁 次 | 頁133-162 |
分類號 | 521.33313 |
關鍵詞 | 代數推理測驗; 認知成分; 試題難度參數; 試題模型; 自動化命題; Algebraic reasoning test; Cognitive component; Item difficulty parameter; Item model; Automatic item generation; |
語 文 | 中文(Chinese) |
中文摘要 | 本研究的目的在提出認知成分依據自動化命題模式,研究中針對國小高年級學生常見的代數推理作業,分析解題的核心認知成分,選取運算子、表徵轉換、計算複雜度等三項認知成分,操作性定義其內涵與編碼方式。依據認知成分的定義,自動化產出代數推理能力測驗共36題,並針對國小五、六年級177名學生進行施測,實徵檢視模式的適用性。本研究採用Rasch模式進行難度參數校準,再以多元迴歸進行認知成分編碼對試題難度參數的預測分析。結果顯示運算子和表徵轉換對試題實徵難度參數的解釋量約為78%。本研究所提出認知成分及自動化命題模式,初步試用結果呈現合理的生產性,可作為未來代數推理測驗自動命題的基礎,因應代數學習落後學生補救教學的需求。 |
英文摘要 | The purpose of this study is to propose a plausible cognitive component based automatic item generation model to assure the psychometric quality of items generated. A three-component model was adopted accordingly to develop the computerized algebraic reasoning test (CART). The three cognitive components included are; arithmetic operator, representation transformation, and computational complexity. Thirty-six items were automatically generated according the operational definition of the cognitive components. The CART was administered to 177 5th and 6th graders. The IRT item difficulty parameters of the CART were obtained by Rasch model calibration. Multiple regression analysis was employed to predict the impact of the three components on the IRT difficulty parameters. The results suggest that the first two cognitive components can account for around 78% of variances of the IRT difficulty parameters. The results also reveal that the proposed model may serve as a reasonable quality checking monitor. The components investigated in this study may also serve as a basis for implementation of an automatic item generation of algebraic reasoning test and for further compensatory instructional intervention for students with low algebraic reasoning ability. |
本系統中英文摘要資訊取自各篇刊載內容。