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題名:國小二年級學生在數值線段上的數字估計能力與數學學習成就之相關研究
書刊名:臺灣數學教育期刊
作者:袁媛 引用關係王淑芬陳國龍
作者(外文):Yuan, YuanWang, Sue-fengChen, Kuo-long
出版日期:2016
卷期:3:1
頁次:頁1-18
主題關鍵詞:位置對數字任務相關研究數字對位置任務數學學習成就Position-to-number taskRelation studyNumber-to-position taskMathematical achievement
原始連結:連回原系統網址new window
相關次數:
  • 被引用次數被引用次數:期刊(2) 博士論文(1) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:2
  • 共同引用共同引用:4
  • 點閱點閱:58
本研究的目的在了解國小二年級學生在數值線段上的數字估計能力,並探討其與數學學習成就的相關性。研究樣本為桃園市某國小二年級學生137人,並以「數字估計任務」及「學齡階段數學能力測驗」收集研究資料,其中數字估計任務分為數字對位置任務(NP task)及位置對數字任務(PN task)。研究結果發現:(1)二年級學生在數值線段上估計0-100的數量表徵已達到線性表徵,且學生在PN task的表現優於在NP task的表現;(2)二年級學生的數字估計能力與數學學習成就具有顯著的相關性;(3)數字估計能力中的NP task表現能預測數學學習成就13%的解釋力,且解釋力達統計意義,顯示NP task表現能有效的預測二年級學生的數學學習成就測驗成績。
The purposes of this study were to investigate second graders’ number-line estimation ability as well as to explore the relationship between their number-line estimation ability and mathematical achievement. The participants in this study were 137 second graders of an elementary school in Taoyuan City, Taiwan, and a number-line estimation task (including number-to-position and position-to-number tasks) and a mathematical achievement test were used as examining tools. The results of this study are as follows. First, on a 0-100 number line, the second graders’ estimates fit the linear model. Significant differences were observed between the number-to-position and position-to-number task results. The students’ estimation ability in the position-to-number task was superior to that in the number-to-position task. Second, significantly positive correlations between number-line estimation ability and mathematical achievement were observed. Finally, the ability to complete a number-to-position task explained 13% of the variance in the students’ mathematical achievement; thus, it can predict students’ mathematical achievement.
期刊論文
1.Ramani, G. B.、Siegler, R. S.(2008)。Promoting broad and stable improvements in low-income children's numerical knowledge through playing number boardgames。Child Development,79(2),375-394。  new window
2.Dehaene, S.、Bossini, S.、Giraux, P.(1993)。The mental representation of parity and number magnitude。Journal of Experimental Psychology: General,122(3),371-396。  new window
3.Siegler, Robert S.、Opfer, John E.(2003)。The development of numerical estimation: Evidence for multiple representations of numerical quantity。Psychological Science,14(3),237-243。  new window
4.Berch, D. B.(2005)。Making sense of number sense: Implications for children with mathematical disabilities。Journal of Learning Disabilities,38(4),333-339。  new window
5.Booth, J. L.、Siegler, R. S.(2008)。Numerical magnitude representations influence arithmetic learning。Child Development,79(4),1016-1031。  new window
6.Geary, D. C.、Hoard, M. K.、Nugent, L.、Bailey, D. H.(2012)。Mathematical cognition deficits in children with learning disabilities and persistent low achievement: A five-year prospective study。Journal of Educational Psychology,104(1),206-223。  new window
7.周廣東、莫雷、溫紅博(2009)。兒童數位估計的表徵模式與發展。心理發展與教育,25(4),21-29。  延伸查詢new window
8.Jordan, Nancy C.、Kaplan, David、Nabors Oláh, Leslie、Locuniak, Maria N.(2006)。Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties。Child Development,77(1),153-175。  new window
9.Hogan, T. P.、Brezinski, K. L.(2003)。Quantitative estimation: One, two, or three abilities?。Mathematical Thinking and Learning,5(4),259-280。  new window
10.Siegler, R. S.、Booth, J. L.(2004)。Development of numerical estimation in young children。Child Development,75(2),428-444。  new window
11.李量(2011)。低段估算教學存在的問題及應對策略。寧波教育學院學報,13(6),130-133。  延伸查詢new window
12.莫雷、周廣東、溫紅博(2010)。兒童數字估計中的心理長度。心理學報,42(5),569-580。  延伸查詢new window
13.潘星宇、俞清怡、蘇彥捷(2009)。從數感看兒童數表徵的發展。華東師範大學學報,27(4),30-41。  延伸查詢new window
14.Barth, H. C.、Paladino, A. M.(2011)。The development of numerical estimation: Evidence against a representational shift。Developmental Science,14(1),125-135。  new window
15.Booth, J. L.、Siegler, R. S.(2006)。Developmental and individual differences in pure numerical estimation。Developmental Psychology,42(1),189-201。  new window
16.Fischer, U.、Moeller, K.、Bientzle, M.、Cress, U.、Nuerk, H. C.(2011)。Sensori-motor spatial training of number magnitude representation。Psychonomic Bulletin & Review,18(1),177-183。  new window
17.Laski, E. V.、Siegler, R. S.(2007)。Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison。Child Development,78(6),1723-1743。  new window
18.Link, T.、Moeller, K.、Huber, S.、Fischer, U.、Nuerk, H. C.(2013)。Walk the number line: An embodied training of numerical concepts。Trends in Neuroscience and Education,2(2),74-84。  new window
19.Moeller, K.、Pixner, S.、Kaufmann, L.、Nuerk, H.(2009)。Children's early mental number line: Logarithmic or decomposed linear?。Journal of Experimental Child Psychology,103(4),503-515。  new window
20.Nuerk, H.、Kaufmann, L.、Zoppoth, S.、Willmes, K.(2004)。On the development of the mental number line: More, less, or never holistic with increasing age?。Developmental Psychology,40(6),1199-1211。  new window
21.Schneider, M.、Heine, A.、Thaler, V.、Torbeyns, J.、De Smedt, B.、Verschaffel, L.、Stem, E.(2008)。A validation of eye movements as a measure of elementary school children’s developing number sense。Cognitive Development,23(3),409-422。  new window
22.Whyte, J. C.、Bull, R.(2008)。Number games, magnitude representation, and basic number skill in preschoolers。Developmental Psychology,44(2),588-596。  new window
23.支毅君(19960600)。我國國小學生估算概念之研究。臺東師院學報,7,1-51。new window  延伸查詢new window
學位論文
1.李曉芹(2008)。小學兒童數字線估計的發展研究(碩士論文)。曲阜師範大學,曲阜。  延伸查詢new window
2.林寶玲(2012)。正負數量表徵的心理數線發展(碩士論文)。國立中央大學,桃園。  延伸查詢new window
圖書
1.Dehaene, Stanislas(1997)。The Number Sense: How the Mind Creates Mathematics。Oxford University Press。  new window
2.林寶貴、李如鵬、黃玉枝(2009)。學齡階段數學能力測驗指導手冊。臺北:教育部。  延伸查詢new window
3.Van de Walle, J. A.(1998)。Elementary and middle school mathematics: Teaching developmentally。New York, NY:Longman。  new window
其他
1.Opfer, J. E.(2003)。Analyzing the number-line task: A tutorial,http://www.psy.cmu.edu/~siegler/SiegOpfer03Tut.pdf。  new window
 
 
 
 
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