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題名:國小數學創造力診斷與認知歷程工具研發
書刊名:教育心理學報
作者:陳李綢 引用關係
作者(外文):Chen, Lee-chou
出版日期:2006
卷期:38:1
頁次:頁1-17
主題關鍵詞:數學創造力認知成分領悟力自動化創新力類比推理後設認知數學解題Mathematical creativityCognitive componentInsightAutomaticityNoveltyAnalogical reasoningMeta-cognitionMathematical problem-solving
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  • 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(1)
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本研究主要在探討國小高年級數學創造力診斷與認知歷程分析,並研發適合國小高年級生使用的診斷工具。本研究以國小五、六年級學生為研究對象,根據史騰柏格的創造三面模式理論及國小高年級數學教材編製「國小高年級學生數學創造力診斷與認知歷程分析工具」;其中包括;『算術與邏輯字量表』、『自動化解題行為量表』、『圖形推理量表』、『概念映射量表』、 『後設認真日成份量表』以及『創造性行為量表』等工具,以此工具分析診斷國內國小高年級學生數學創造力,並找出具代表性的數學創造力診斷指標。研究結果顯示:1. 本研究編製的「國小高年級學生數學創造力診斷與認知歷程分析工具」係為一套有效且可靠的數學創造力及數學解題歷程的衡量指標。2. 本研究編製之工具成分包括創新力、領悟力、自動化能力、推理能力與後設認知能力。3. 後設認知場地獨立與創造性行為高低學生,國小高年級學生數學創造力,如領悟力、創新力、自動化能力及後設認知能力都有顯著差異。4. 數學能力與數學創造力有密切關係,而兩者共同的成分是數學解題所具備的後設認知能力、自動化能力、創新力與推理能力。
The main purpose of this study was to develop a set of test tools to analyze and diagnose mathematical creativity of elementary students. The subjects were 5th and 6th graders from an eIementary schooI. Based on Sternberg' s Three-factor Model of Creativity and the mathematical learning materials for elementary students, a test battery of mathematical creativity was developed which incIuded Mathematics and Logical Words Scale, Automatic Mathematical Problem-Solving Scale, Figure Analogical Reasoning Scale, Mathematics Mapping Scale, Meta-Cognitive AbiIity Scale, and Creativity Behavior Scale. These tools were used to anaIyze and diagnose the mathematicaI creativity of elementary students. The findings indicate that : (1) the devised test battery was good in reliabiIity and validity in analyzing and diagnosing the mathematical creativity of elementary students; (2) this battery is comprised of the cognitive components of novelty, insight, automaticity, analogical thinking and meta-cognitive abiIity; (3) high meta-cognition students and field-independents scored higher than low meta-cognition students and field-dependents, respectiveIy, in all components of mathematical creativity, while high creativity students scored higher than low creativity students in several components of it; and (4) mathematical achievement was cIoselyrelated to mathematical creativity, due to common components in mathematical problem-solving such as meta-cognitive ability, automaticity, noveIty and analogical reasoning.
期刊論文
1.詹秀美(19900300)。影響創造力的環境因素。資優教育,34,15-20。  延伸查詢new window
2.Isaksen, S. G.、Puccio, G. J.、Treffinger, D. J.(1993)。An Ecological Approach to Creativity Research: Profiling for Creative Problem Solving。Journal of Creative Behavior,27(3),149-170。  new window
3.陳昭儀(19930300)。創造力的定義及研究。資優教育,46,12-17。  延伸查詢new window
4.Sternberg, R. J.、Lubart, T. I.(1991)。An Investment Theory of Creativity and Its Development。Human Development,34(1),1-31。  new window
5.Sternberg, R. J.(1984)。Toward a triarchic theory of human intelligence。The Behavioral and Brain Sciences,7,269-315。  new window
6.Torrance, E. Paul、Goff, Kathy(1989)。A Quiet Revolution。The Journal of Creative Behavior,23(2),136-145。  new window
7.Witkin, Herman A.、Moore, C. A.、Goodenough, D. R.、Cox, P. W.(1977)。Field-Dependent and Field-Independent: Cognitive Styles and Their Educational Implications。Review of Educational Research,47(1),1-64。  new window
8.Aiken, L. R.(1973)。Ability and Creativity in Mathematics。Review of Educational Research,43(4),405-432。  new window
9.Kajander, A.(1990)。Measuring Mathematical Aptitude in Exploratory Computer Environments。Report Review,12(4),254-256。  new window
10.Kulm, G.(1982)。The Development of Mathematics Problem Solving Ability in Early Adolescence。School Science and Mathematics,82(8),666-672。  new window
11.Loewenthal, G.、Martinez-Pons, M.(1987)。Comparison of Three Methods for Improving Verbal Analogies Solutions。Forum for Reading. Journal of College Reading Improvement,18,53-61。  new window
12.Markman, E. M.(1985)。Why Super Ordinate Category Terms Can Be Mass Nouns。Cognition,19,311-353。  new window
13.Noppe, L. D.、Gallagher, J. M.(1977)。A Cognitive Style Approach to Creative Thought。Journal of Personality,41(1),85-90。  new window
14.Niaz, M.、Lawson, A. E.(1985)。Balancing Chemical Equations: The Role of Developmental Level and Mental Capacity。Journal of Research in Science Teaching,22(1),41-51。  new window
學位論文
1.楊瑞智(1994)。國小五、六年級不同能力學童數學解題的思考過程(博士論文)。國立師範大學。new window  延伸查詢new window
2.陳李綢(1991)。多重智力理論模式的驗證與智力的促進(博士論文)。國立臺灣師範大學。new window  延伸查詢new window
3.張世彗(1988)。創造性問題解決方案對國小資優班與普通班學生創造性問題解決能力、創造力和問題解決能力之影響,0。  延伸查詢new window
4.陳李綢(1984)。表徵方式與教學策略對國小學生認知發展之成效研究,0。  延伸查詢new window
5.Bitner-Corvin, Betty L.(1983)。Impact Study of Energy Education Workshops on the Participants and Their Peer Teachers,0。  new window
圖書
1.Sternberg, R. J.(1988)。The triarchic mind: A new theory of human intelligence。The triarchic mind: A new theory of human intelligence。New York, NY:Cambridge University。  new window
2.Howley, A. B.、Howley, C.、Pendarvis, E. D.(1986)。Teaching Gifted Children: Principles and Strategies。Little, Brown and Company。  new window
3.董奇(1995)。兒童創造力發展心理。臺北:五南圖書出版股份有限公司。  延伸查詢new window
4.Davis, G. A.(1986)。Creativity is forever。Dubuque, IA:Kendall/Hunt Publishing Company。  new window
5.Guilford, J. P.(1967)。The nature of human intelligence。McGraw-Hill。  new window
6.Leff, M.(1984)。The limits of symbolic reform: The new deal and taxation, 1933-1939。Cambridge, N. Y.:Cambridge University Press。  new window
7.Holmes, E. E.(1995)。New Directions in Elementary School Mathematics: Interactive Teaching and Learning。New Directions in Elementary School Mathematics: Interactive Teaching and Learning。New Jersey。  new window
8.Sternberg, R.J.(1988)。A Three-factor Model of Creativity。The Nature of Creativity。New York, NY。  new window
9.(1994)。Mind in context: interactionist perspectives on human intelligence。Mind in context: interactionist perspectives on human intelligence。NY。  new window
10.Das, J. P.、Naglieri, J. A.、Kirby, J. R.(1994)。Assessment of Cognitive Processes: The PASS Theory of Intelligence。Assessment of Cognitive Processes: The PASS Theory of Intelligence。0。  new window
11.Davis, G. A.、Rimm, S. B.(1985)。Education of the Gifted and Talented。Education of the Gifted and Talented。Englewood Cliffs, NJ:Prentice-Hall。  new window
12.Schoenfeld, A. H.(1985)。Mathematics Problem Solving。Mathematics Problem Solving。New York, NY。  new window
13.(1987)。Cognitive Science and Mathematics Education。Cognitive Science and Mathematics Education。New Jersey, NJ。  new window
14.Sternberg, R. J.(1982)。A Componential Approach to Intellectual Development。Advances in the Psychology of Human Intelligence, Vol. 1。Hillsdale, NJ。  new window
15.Sternberg, R. J.(1997)。A Triarchic View of Giftedness: Theory and Practice。Handbook of Gifted Education。Boston, MA。  new window
圖書論文
1.Lubart, T. I.(1994)。Creativity。Thinking and Problem Solving。Academic Press。  new window
2.Woodman, R. W.、Schoenfeldt, L. F.(1989)。Individual Differences in Creativity: An Interactionist Perspective。Handbook of creativity: Perspectives on individual differences。New York, NY:Plenum。  new window
3.Schoenfeld, A. H.(1987)。What’s all the fuss about metacognition?。Cognitive science and mathematics education。Hillsdale, NJ:Lawrence Erlbaum Associates, Publishers。  new window
4.Costa, J. E.(1984)。Physical Geomorphology of Debris Flow。Developments and Applications of Geomorphology。Springer-Verlag。  new window
 
 
 
 
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