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題名：數學概念與程序覺知的發展歷程 : 電腦化認知反應測驗之實徵研究
書刊名：教育研究與發展期刊
作者：楊志堅 引用關係／陳麗婷
作者(外文)：Yang, Chih-chien／Chen, Li-ting
出版日期：2008
卷期：4:4
頁次：頁121-150
主題關鍵詞：數學學習；數學概念覺知；數學程序覺知；認知發展；Mathematics learning；Math conceptual awareness；Math procedural awareness；Cognitive developments
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(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:1
  • 共同引用共同引用:14
  • 點閱點閱:28
本研究探討小學階段數學概念與程序覺知的認知反應本身、兩者間的關聯及其發展歷程的變化。施測對象為目前九年一貫學制之國民小學五、六年級學生，本研究採立意取樣，總計施測120位學生。所使用的研究工具為自編電腦化數學概念與程序覺知測驗。實驗的主體以電腦化的程式記錄受測學生的認知反應，包括作答正確性及其反應時間，以做為數學概念與程序覺知的觀察依據。本研究發現數學概念與程序覺知間的正向關聯，及兩者在不同學童背景間的差異。數學概念與程序覺知的發展歷程，則各有不同趨勢，其所延伸的意涵很值得心理或教育研究參考。
This study examines the relations and developments of cognitive responses of mathematical conceptual and procedural awareness. Participants of this study are 120 Grade 5 and Grade 6 elementary students in Central Taiwan. Students are purposely selected to join the research, in which cognitive responses, including accuracy and speed are recorded by computerized programs that are accurate in milliseconds. The positive relationship between mathematical conceptual and procedural awareness are found and some interesting development trajectories of both awareness are discussed. Results show some interesting relations and developments that can have both theoretical and substantive implications for the research fields.
期刊論文
1.Gersten, R.、Jordan, N. C.、Flojo, J. R.(2005)。Early identification and interventions for students with mathematics difficulties。Journal of Learning Disabilities，38(4)，293-304。  new window
2.洪萬生(2005)。從程序性知識看《算數書》。人文與社會類，50(1)，75-89。new window  延伸查詢new window
3.Rourke, Byron P.(1993)。Arithmetic Disabilities, Specific and Otherwise: A Neuropsychological Perspective。Journal of Learning Disabilities，26(4)，214-226。  new window
4.林碧珍(19901200)。從圖形表徵與符號表徵之間的轉換探討國小學生的分數概念。新竹師院學報，4，295-347。new window  延伸查詢new window
5.Lewis, A. B.、Mayer, R. E.(1987)。Students' miscomprehension of relational statements in arithmetic word problems。Journal of Educational Psychology，79(4)，363-371。  new window
6.Hegarty, M.、Mayer, R. E.、Monk, C. A.(1995)。Comprehension of arithmetic word problems: A comparison of successful and unsuccessful problem solvers。Journal of Educational Psychology，87(1)，18-32。  new window
7.柯華葳(20050800)。數學學習障礙學生的診斷與確認。特殊教育研究學刊，29，113-125。  延伸查詢new window
8.Campbell, J.I.D., Kanz, C.L.,、Xue, Q.(1999)。Number processing in Chinese-English bilinguals。Mathematical Cognition，5(1)，1-39。  new window
9.D’Amico A.、Guarnera M.(2005)。Exploring working memory in children with low arithmetical Achievement。Learning and Individual Differences，15，189 - 202。  new window
10.de Ribaupierre, A.,、Bailleux, C.(1994)。Developmental Change in a Spatial Task of Attentional Capacity: An Essay toward an Integration of Two Working Memory Models。International Journal of Behavioral Development，17(1)，5-35。  new window
11.LeFevre, J.A., Smith-Chant, B.L., Fast, L., Skwarchuk, S-L., Sargla, E., Arnup, J.S.,Penner-Wilger, M., Bisanz, J.,、Kamawar, D.(2006)。What counts as knowing? The development of conceptual and procedural knowledge of counting form kindergarten through Grade 2。Journal of Experimental Child Psychology，93，285-303。  new window
12.Pape, S.J.(2003)。Compare Word Problems: Consistency Hypothesis Revisited。Contemporary Educational Psychology，28，396-421。  new window
13.Sherman, J.A.(1996)。Spatial visualization and sex-related differences in mathematical problem-solving。Behavioral and Brain Sciences，19，262-。  new window
14.Star, J.R.(2005)。Reconceptualizing Procedural Knowledge。Journal for Research in Mathematics Education，36(5)，404-411。  new window
15.Verschaffel, L.(1994)。Using retelling data to study elementary school children’s representations and solutions of compare problems。Journal for Research on Mathematics Education，25，141-165。  new window
16.Yang, C.C., Yang, C.C.,、Chaou, W.T.(2005)。Functional correlations of spatial quantitative EEG and intelligences in a nonalphabetical language group。Applied Neuropsychology，12(3)，151-157。  new window
會議論文
1.詹碧蓮、楊志堅(2006)。國小一年級數學學習困難篩選測驗之編製。第七屆海峽兩岸心理與教育測驗學術研討會。  延伸查詢new window
2.劉順興、楊志堅(2006)。國小一年級學童數學語文能力測驗工具之研發。第七屆海峽兩岸心理與教育測驗學術研討會。  延伸查詢new window
3.O'Neil H.(1999)。A theoretical basis for assessment of problem solving。Montreal, Canada。  new window
4.Yang, C. C.(2001)。Performance Assessment on Mathematics Problem Solving:Perspectives and Solutions for Mathematics Learning Disability。Taipei。  new window
5.Yang, C.C., Yang, C.C.,、Chen, B.H.(2001)。Mathematics Problem Solving Performance Assessment Battery: Reliability and Validity Perspectives。Taipei。  new window
研究報告
1.Herl H.E. O’Neil H. Chung C.K.W. Bianchi C. Wang S-L Mayer R. Lee C.Y.Choi A. Suen T.、Tu A.(1999)。Final report for validation of problem-solving measures。CA。  new window
學位論文
1.郭郁智(2000)。國民中學學生學習策略、批判思考能力與學業成就之相關研究(碩士論文)。國立高雄師範大學，高雄市。  延伸查詢new window
2.吳元良(1996)。不同數學課程、性別、社經地位的國小學生在數學態度及成就上比較之研究(碩士論文)。國立屏東師範學院。  延伸查詢new window
圖書
1.王文中、呂金燮、吳毓瑩、張郁雯、張淑慧(2004)。教育測驗與評量--教室學習觀點。臺北市：五南圖書出版有限公司。  延伸查詢new window
2.Schneider, W.、Eschman, A.、Zuccolotto, A.(2002)。E-Prime User’s Guide。Pittsburgh, PA：Psychology Software Tools Inc。  new window
3.National Council of Teachers of Mathematics(2000)。Principles and standards for school mathematics。Reston, Virginia：National Council of Teachers of Mathematics。  new window
4.National Council of Teachers of Mathematics(1989)。Curriculum and evaluation standards for school mathematics。Reston, VA：National Council of Teachers of Mathematics。  new window
5.Byrnes, J.P.(2001)。Minds, Brains, and Learning: Understanding the Psychological and Educational Relevance of Neuroscientific Research。New York。  new window
6.Hale, J.B.,、Fiorello, C.A.(2004)。School Neuropsychology: A Practitioner’s Handbook。New York, NY。  new window
7.PST(2006)。E-prime user manual。  new window
圖書論文
1.Schroeder, T. L.、Lester, F. K. Jr.(1989)。Developing understanding in mathematics via problem solving。New Directions for Elementary School Mathematics: 1989 Yearbook。Reston, VA：National Council of Teachers of Mathematics。  new window
 
 
 
 
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