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題名:以模糊聚類方法分析數學錯誤概念組型例
書刊名:教育研究與發展期刊
作者:陳嘉甄陳慶彥
作者(外文):Chen, Chia-chenChen, Ching-yen
出版日期:2009
卷期:5:4
頁次:頁159-186
主題關鍵詞:錯誤概念組型模糊聚類方法學習障礙測驗數學Group style of misconceptionsFuzzy C-means (FCM)Learning disabilityTestMath
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  • 被引用次數被引用次數:期刊(1) 博士論文(0) 專書(0) 專書論文(0)
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  • 共同引用共同引用:43
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測驗可以反映學生的學習狀況,認知心理學的興起,使人們開始重視測驗歷程的錯誤反應。目前對於學生解題錯誤類型的探討重點,以錯誤概念的分析為主,皆以個別學生的試題反應為出發點,進行線性推論,少有針對學生整體錯誤反應而進行歸類,而傳統的群集分析方式亦難以處理錯誤概念的組型問題。本研究取國小三上127個樣本接受數學測驗。其中121個為一般樣本,6個為校內鑑定的學習障礙樣本。應用模糊聚類方法(Fuzzy C-means, 或簡寫為FCM)進行錯誤概念的組型探討, 以期獲得一般學生及學習障礙學生的錯誤概念組型及其教學意義。結果顯示,該方法可以得到學生類誤概念組型,亦發現本研究中的學習障礙樣本,其以概念為分析基礎的數學錯誤反應確實出現群聚現象。該結果可提供教師作為補救教學時的初步分類依據,亦可作為日常教學分組參考。
Tests can reflect the students’ learning status. Because of the rising of cognitive psychology, so that researchers are beginning to pay attention to error responses in the course of test. At present, most discussions of problem-solving were focusing on the linear analysis of misconceptions, but very few on the similarity classify of the whole error responses. The traditional clustering method is difficult on finding the group type of misconceptions because of the characteristics of complex data in this research. There are 127 samples in this study which include 121 as general samples and 6 samples with learning disability that were identified by special educational identification group in school. Fuzzy C-means method was used to process the group clustering of misconceptions for obtaining the misconceptions group type and its educational significance.The result revealed that there were 3 clustering groups between all the samples’ misconceptions by using the clustering method FCM (Fuzzy C-meanings). The study also found that the error responses in the math test of most learning disabilities samples were clustered in the same clustering group. The result will provide teachers as a grouping reference in remedial and daily teaching.
期刊論文
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2.林原宏(20031200)。量表語意模糊數演算及其計分比較分析。臺中師院學報,17(2),279-304。new window  延伸查詢new window
3.林曉芳(20011200)。知識表徵與概念學習之研究--以路徑蒐尋網路分析為評量工具。教育與心理研究,24(下),229-258。new window  延伸查詢new window
4.宋德忠、林世華、陳淑芬、張國恩(19981200)。知識結構的測量:徑路搜尋法與概念構圖法的比較。教育心理學報,30(2),123-142。new window  延伸查詢new window
5.Goldsmith, T. E.、Johnson, P. J.、Acton, W. H.(1991)。Assessing structural knowledge。Journal of Educational Psychology,83(1),88-96。  new window
6.陳嘉甄(20011200)。國小學童自然科知識結構之測量。教育與心理研究,24(下),327-343。new window  延伸查詢new window
7.余嘉元(1995)。運用規則空間模型識別解題中的認知錯誤。心理學報,27(2),196-203。  延伸查詢new window
8.陳義勳(1994)。國小自然科力學迷思概念之探討。台北市立師範學院學院學報,27,83-104。  延伸查詢new window
9.Lawson, A.、Renner, J. W.(1989)。Piagetian theory and biology teaching。American Biology Teacher,37(6),336-343。  new window
10.Lin, Y. H.(2001)。The simulation study of reliability of fuzzy linguistic scales。Journal of Test and Statistics,9,193-219。  new window
11.Wu, B. L.,、Lin, Y. H.(2002)。The Introduction of Fuzzy Mode and Its Applications。Journal of Test Statistics,47,23-27。  new window
會議論文
1.孫光天(1998)。利用類神經網路於學習認知的迷失關聯105-109。  延伸查詢new window
2.Wu, B. L.、Lin, Y. H.(2002)。Fuzzy mode and its applications in educational and psychological assessment analysis。The Second International Conference on Information。China:Beijing。  new window
研究報告
1.林原宏(2004)。模糊語意計分類型之模擬與實證研究 (計畫編號:NSC92-2413-H-142-004)。  延伸查詢new window
2.柯華葳(1991)。台灣地閱讀研究文獻回顧。  延伸查詢new window
學位論文
1.游森期(2004)。Fuzzy Partial Credit Scaling: Applying Fuzzy Set Theory to Scoring Rating Scales,0。new window  new window
2.林曉芳(2002)。以Hot deck插補法推估成就測驗之不完整作答反應(博士論文)。國立政治大學。new window  延伸查詢new window
3.陳貞君(2006)。我國竹苗地區國小四年級學生對TIMSS 2003科學試題閱讀理解及解題過程之研究,新竹。  延伸查詢new window
4.張家榮(2001)。應用設因推論於認知診斷之研究,台南市。  延伸查詢new window
5.朱瑞珠(1997)。國小二年級學生在數學減法上的認知網路之研究,台北市。  延伸查詢new window
6.羅家駿(2004)。以資料探勘發掘學習錯誤概念之關聯的預防教學—以英語介係詞為例,新竹。  延伸查詢new window
圖書
1.柯華葳(1999)。閱讀理解困難篩選測驗。臺北:行政院國家科學委員會特殊教育工作小組。  延伸查詢new window
2.楊坤堂、林美玉、黃貞子、沈易達(1995)。學習障礙兒童。臺北:五南。  延伸查詢new window
3.Bezdeck, J. C.(1981)。Pattern Recognition with Fuzzy Objective Function Algorithms。Kluwer Academic Publishers。  new window
4.洪儷瑜、張郁雯、陳慶順、陳秀芬、李瑩玓(2003)。基本讀寫字綜合測驗:指導手冊。心理出版社。  延伸查詢new window
5.張春興(2002)。現代心理學。臺北市:東華書局。  延伸查詢new window
6.Gagne, E. D.、Yekovich, C. W.、Yekovich, F. R.、丘修平(1998)。教學心理學:學習的認知基礎。臺北:遠流。  延伸查詢new window
7.柯華葳(1999)。基礎數學概念評量二年級題本。台北市。  延伸查詢new window
8.陳淑惠(譯);Medina John(1997)。LD認識學習差異。台北。  延伸查詢new window
9.黃秀霜(1200)。中文年級認字量表。台北。  延伸查詢new window
10.Branaghan, R. J.(1990)。Pathfinder Networks and Multidimensional Spaces: Relative Strengths in Representing Strong Associates。Pathfinder Associative Networks: Studies in Knowledge Organization。new Jersey。  new window
11.Schvaneveldt, R. W.、Durso, F. T.(1985)。Pathfinder: Scaling with network structures。Memorandum in Computer and Cognitive Science, MCCS-87-9。Computing Research Laboratory。  new window
圖書論文
1.Wu, B. L.、Yang, W.(1998)。Fuzzy statistics and its applications in the social science research。Developing and applications of quantity methods in social sciences。Institute of Social Science, Academic Sinica。  new window
 
 
 
 
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