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題名:Van Hiele平面幾何思考層次測驗試題分析--以高中生為例
書刊名:測驗統計年刊
作者:馬秀蘭吳德邦吳順治許天維 引用關係洪珮芬
作者(外文):Ma, Hsiu-lanWu, Der-bangWu, Shun-jyhSheu, Tian-weiHung, Pei-fen
出版日期:2011
卷期:19(上)
頁次:頁57-77
主題關鍵詞:S-P表Van hiele平面幾何思考層次高中學生試題分析Senior high school studentVan hiele geometric thinkingItem analysis
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(0) 博士論文(1) 專書(0) 專書論文(0)
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  • 共同引用共同引用:2
  • 點閱點閱:52
摘要 本研究的目的係以學生問題表(S-P 表)分析法針對「高中學生van Hiele 平面幾何思考層次測驗」進行試題分析。研究樣本取自臺灣中部五個縣市之高中 一至三年級學生,有效樣本1254 名。採用van Hiele 幾何思考層次測驗(VHGT) 中文版為評量工具,並以TESTER For Windows 程式 2.0 版軟體進行S-P 表及 試題分析。本研究分析的項目包括:內部一致性係數、平均答對率(P)、差異係 數、注意係數及鑑別度。經TESTER For Windows 分析,獲得下列研究結論:(1) 此測驗的內部一致性係數為 0.81,信度良好。(2)此測驗的平均答對率為0.53, 難度適中。(3)差異係數為0.35,顯示試題群和學生群兩者均具有相當的同質性。 (4)試題總數為25 題,有13 題被判定為A(優良型試題),4 題被判定為B(困 難型試題),8 題被判定為B'(拙劣型試題);其中層次二、三、四各有1、1、2 題為B,層次四、五各有3、5 題為B',幾何層次越高的題目,學生平均答對人 數百分比越低,試題越困難,層次五的題目都被判定為B'。(5)此測驗除了有4 題鑑別度差,3 題鑑別度尚可,2 題鑑別度優良以外,其餘的試題鑑別度非常優 良。
Abstract The purpose of this research is to analyze the van Hiele geometry test of Senior high school student with student-problem chart analysis theory. Using the Chinese version of the van Hiele Geometry Test, tested a total of 1254 senior high school students from five counties and cities in the middle part of Taiwan. Analyze the test with S-P chart analysis theory by TESTER For Windows 2.0, developed by Yu (2002). The analysis includes correct ratio of the test, the internal consistency reliability coefficient, disparity index, caution index, and item analysis. After data processing, the following conclusions were drawn from this study: (a) The average of the test is 13.18 (the total grades are 25), the standard deviation is 4.70. (b) The internal consistency reliability coefficient of this test is 0.81, it is good. (c) The average of the correct ratio of the test is 0.53. The difficulty of the test is moderate. (d) The total amount of the questions is 25, there are 13 questions judged as A (fine question), 4 questions judged as B (difficult question), 8 questions judged as B' (clumsy question). Among them, the level two, three, four each has 1, 1, 2 questions as B, the level four, five each has 3, 5 questions as B'. The higher geometry level question, the lower correct ratio and the more difficult the question is. The questions of the level five are all judged as B'. (e) Except that 4 questions have bad item discrimination index, 3 questions are acceptable, 2 questions are fine, and the others are very fine. (f) Disparity index is 0.35, show that the test and the students are suitable homogeneity, and the content of testing are agree with the goal and content of learning.
期刊論文
1.Ebel, R. L.(1967)。The relation of item discrimination to test reliability。Journal of Educational Measurement,4(3),125-128。  new window
2.Usiskin, Z.、Senk, S.(1990)。Evaluating a test of van Hiele levels: A response to Crowley and Wilson。Journal for Research in Mathematics Education,21(3),245-342。  new window
3.吳德邦(1996)。范析理(van Hiele)模式對我國師範學院學生在非歐幾何學的學習成就與幾何思考層次之研究。臺中師院學報,9,443-474。  延伸查詢new window
4.陳進春、吳德邦(2005)。醫護專科學校學生van Hiele幾何思考層次之研究。測驗統計年刊,13(2),230-260。new window  延伸查詢new window
會議論文
1.吳德邦(1998)。國中學生van Hiele幾何思考層次之研究。臺北市。new window  延伸查詢new window
2.吳德邦(1999)。學士後國小職前與在職進修專班教師van Hiele幾何思考模式之研究。彰化市。  延伸查詢new window
3.吳德邦(1999)。幼教職前與在職進修教師van Hiele幾何思考模式之研究。臺中市。  延伸查詢new window
4.吳德邦、馬秀蘭、吳順治、陳姿良、沈紀伶(2011)。編製van Hiele幾何思考層次四測驗之歷程。台中市。276-287。new window  延伸查詢new window
5.Ma, H. L.、Wu, D. B.、Wu, S. J.、Chen, T. L.(2011)。A study of the van Hiele model of geometric thinking to in-service kindergarten teachers in Taiwan。Ankara, Turkey。1,477。  new window
研究報告
1.Usiskin, Zalman(1982)。Van Hiele Levels and Achievement in Secondary School Geometry。University of Chicago, Department of Education。  new window
2.Burger, W. F.、Shaughnessy, J. M.(1986)。Assessing children's intellectual growth in geometry (Final report of the Assessing Children’s Intellectual Growth in Geometry project)。Corvallis, OR。  new window
學位論文
1.Molina, D. D.(1990)。The applicability of the van Hiele theory to transformational geometry(博士論文)。The University of Texas,Austin。  new window
2.江仲翔(2003)。應用S-P表分析高級中學數學科測驗試題。國立中山大學,高雄市。  延伸查詢new window
3.吳婉嫕(2003)。利用S-P表分析高中地圖技能--以一個班級為個案研究。國立台灣大學。  延伸查詢new window
4.林孟嫻(2008)。國小學童小數加減表現之研究--以S-P表與次序理論分析為例。國立屏東教育大學。  延伸查詢new window
5.陳敏彥(2006)。應用S-P表與次序理論分析原住民學生在分數乘法之認知診斷(碩士論文)。國立臺中教育大學,臺中市。  延伸查詢new window
6.Wu, D. B.(1994)。A study of the use of the van Hiele model in the teaching of nonEuclidean geometry to prospective elementary school teachers in Taiwan, the Republic of China。University of Northern Colorado,Greeley。  new window
圖書
1.教育部(2004)。普通高級中學課程暫行綱要。台北:教育部。  延伸查詢new window
2.余民寧(1997)。教育測驗與評量:成就測驗與教學評量。臺北:心理。  延伸查詢new window
3.王文中、呂金燮、吳毓瑩、張郁雯、張淑慧(1999)。教育測驗與評量:教室學習的觀點。臺北:五南圖書出版有限公司。  延伸查詢new window
4.Haladyna, T. M.(1994)。Developing and validating multiple-choice test items。Hillsdale, NJ:Lawrence Erlbaum Associates。  new window
5.van Hiele, Pierre M.(1986)。Structure and Insight: A Theory of Mathematics Education。Academic Press。  new window
6.Ahmann, J. Stanley、Glock, Marvin David(1981)。Evaluating Student Progress: Principles of Tests and Measurements。Allyn and Bacon。  new window
7.Ebel, Robert L.、Frisbie, David A.(1991)。Essentials of educational measurement。Prentice-Hall, Inc.。  new window
8.Wirszup, I.(1976)。Breakthroughs in the psychology of learning and teaching geometry。Space and geometry: Papers from a research workshop \\ J. L. Martin ; D. A. Bradbard (Eds.) $aERIC Document Reproduction service No. 132033。Columbus, OH。  new window
圖書論文
1.Fuys, D.、Geddes, D.、Tischler, R.(1988)。The van Hiele model of thinking in geometry among adolescents。Journal for Research of Mathematics Education Monograph。Reston, VA:The National Council of Teachers of Mathematics, Inc.。  new window
2.Hoffer, A.(1983)。Van Hiele based research。Acquisition of mathematical concepts and processes。New York, NY:Academic Press。  new window
 
 
 
 
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