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題名:迷思次序分析法於概念診斷上之應用
作者:曾建維
作者(外文):Tzeng, Jian-Wei
校院名稱:國立臺中教育大學
系所名稱:教育測驗統計研究所
指導教授:許天維
永井正武
學位類別:博士
出版日期:2013
主題關鍵詞:次序理論迷思概念Rasch Model GSP表詮釋結構模式灰色結構模式迷思次序分析法試題反應理論Ordering TheoryMisconceptionRasch Model GSP ChartInterpretive Structural ModelGrey Structure ModelMisconceptions’ Order Analysis MethodItem Response Theory
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次序理論(Ordering theory, OT)是依據受試者在二元計分(dichotomous)試題的反應,呈現試題的先後順序性(ordering)或試題階層性(Item hierarchy),而試題關聯結構(Item relational structure, IRS)是依據學生施測結果,透過試題通過率與反應,繪製出試題關聯結構圖,兩者皆為測驗統計上常用之結構分析圖,然而此兩種結構分析圖,皆為判斷測驗試題之結構分析圖,對於學習概念之結構分析圖的診斷尚有部分限制。近年來,認知心理學、人工智慧、心理計量學等領域的學者專家,極力探究較佳且適當教學與評量方法,期能診斷學生的學習認知與迷思概念(misconception)。本論文旨在於運用灰色理論方法,診斷測驗試題的迷思次序(Misconceptions’ order)與其概念結構圖,而能了解試題與學生學習成效等問題,透過Rasch Model GSP表、詮釋結構模式(Interpretive structural model, ISM)與灰色結構模式(Grey structural Mmodel, GSM)等工具的解析;將教師所建立的概念-概念表,透過ISM產生概念結構圖,與透過GSM所產生學生作答的試題-概念結構圖進行分析,可以清楚了解試題與學習概念之間的分群狀態,與其關聯性等問題,根據研究分析之結果,實際驗證了以下的貢獻:
一、以數理公式進行推論出Rasch Model GSP表與迷思次序分析法,兩者皆為創新之研究方法。
二、不同於以往心理計量的研究方式,突破試題反應理論(Item response theory, IRT)需要以大樣本來推估學生能力,本研究方法嘗試以少量人數與試題數的分析下,建立Rasch Model GSP表,進行學生試題參數(難度、鑑別度與猜測度)之推估。研究之數據,採用Cronbach α係數,檢驗數據的一致性。
三、有別於次序理論與試題關聯結構僅可建構出試題結構分析圖,本研究透過詮釋結構模式(ISM)明確的指出學科專家所建構學習概念的順序。搭配灰色結構模型(GSM)的分析方法,檢視學習者迷思試題之概念結構圖,與概念之間的分群結構關聯性。
四、實例驗證Rasch Model GSP表與迷思次序(Misconceptions’ order)分析法的研究組合,可以明顯提升學生的測驗成效,顯示這是一種提供教師進行測驗後補救教學的創新方法。
The Ordering Theory(OT)is based on the responses of subjects toward dichotomous test items, and it can present the ordering or item hierarchy of the test item. On the other hand, the Item Relational Structure(IRS)is based on students’ test results and passing rate to draw the IRS diagram. Both of them are common used structural analysis diagrams in educational measurement statistic fields. However, these two diagrams focus on the judgment of test item structures, and they have some limitations of learning concept structural analysis diagnosis. In recent years, experts of cognitive psychology, artificial intelligence and psychometrics all put effort on exploring better and appropriate teaching and evaluation methods in diagnosing students’ cognitive misconceptions. Hence, this research is about using grey theory methods to diagnosis the structural and misconceptions’ order of test items. Through the use of Rash Model GSP chart, Interpretive Structural Modeling(ISM), and Grey Structural Modeling(GSM), it is possible to establish Problem-Concept chart. Then the concept structural diagram can be generated by using ISM. Finally, GSM is applied to analyze students’ responses and concepts, which also presents the clustering of test items and learning concepts. The results can be shown as follows:
1. Using mathematical equations to infer the Rasch Model GSP chart and the misconceptions’ order analysis method, and both of them are innovative research methods.
2. Unlike previous psychometric research and breakthrough the Item Response Theory(IRT)which needs large sample to estimate the students’ ability, this paper tries to use small numbers of data and test items to establish Rasch Model GSP chart which is able to estimate the difficulty, discrimination and guessing parameters of test items. Also, the research uses the Cronbach α coefficient to test the consistency of the data.
3. Different from the OT/IRS which only create item structural analysis diagrams, this paper uses Interpretive Structural Model(ISM)to indicate the sequence of the learning concept established by experts. Accompany with the Grey Structural Modeling(GSM), the misconceptions of learners and the structural relationship between the clustering concepts can be obtained.
4. Using Matlab to code the Rasch Model GSP chart and the misconceptions’ order of analysis method can verify that the combination of the Rasch Model GSP chart and the misconceptions’ order analysis. It is proved to enhance the effectiveness of the student’s test significantly, which is also an innovative approach for teachers to provide remedial teaching.
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永井正武 (2001)。戰略的系統分析.設計技法。東芝(株)Computer Reliability教材。
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永井正武 (2010)。國立臺中教育大學,教育測驗統計研究所博士班,科學論文寫作第一週講義。

 
 
 
 
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