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題名:數學創造力的文獻回顧與探究
書刊名:臺灣數學教育期刊
作者:劉宣谷
作者(外文):Liu, Hsuan-ku
出版日期:2015
卷期:2:1
頁次:頁23-40
主題關鍵詞:創造力指標創造力階段理論創造貢獻數學創造力Creative indicatorCreative processCreative contributionMathematical creativity
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(3) 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:3
  • 共同引用共同引用:26
  • 點閱點閱:46
數學創造力的描述至今尚未明確,本文將從四個不同的觀點回顧數學創造力。數學創造產出的新穎與一 般創造力無中生有的新穎性不同,且數學創造力的「新穎」並非全然的無中生有而是將重點放在舊知識 的「再結合」。使用創造力量表測量學童的創造力可能窄化了創造力的豐富內涵,部分學者改以「多元 解題」的方法分析數學上的創造力指標。從創造力階段理論學童在數學創造的醞釀過程中藉由重組過去 的知識與比對題目的條件,在反覆的組合和比對的過程中對學童對於舊知識產生新的認識。創造力的貢 獻分為歷史上和心理上的貢獻,學校層次的研究焦點在國小孩童是否具備「心理上的數學創造力」。數 學知識與數學創造力同等重要,提供學童發散性思考和連結舊經驗的環境有助於提升學童的數學創造力。
Specific descriptions of mathematical creativity have not been proposed. This article reviews mathematical creativity from four aspects: products, indicators, processes, and contributions. A description of novelty in mathematical creativity is different from that of original creativity; novelty focuses on the recombination of “old” knowledge in mathematical creativity. The use of creativity tests for measuring creativity indicators may lead the field into a narrow and limited conception of creativity. Recently, scholars have begun to use the multiple-solution task to analyze indicators of mathematical creativity. Regarding creative processes, students recombine mathematical knowledge and compare the recombinations by using the requirements of problems during the incubation period. Through these recombination processes, students obtain new understanding regarding the old knowledge. Creative contributions exist in two forms: historical creativity and psychological creativity. At the school level, the concept of psychological creativity has been adapted for researching the mathematical creativity of elementary school students. Mathematical knowledge and mathematical creativity are both critical. Fostering an environment that encourages divergent thinking and connects to related mathematical knowledge assists in nurturing a student’s mathematical creativity abilities.
期刊論文
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2.Sriraman, B.、Haavold, R.、Lee, K.(2013)。Mathematical creativity and giftedness: A commentary on and review of theory, new operational views, and ways forward。ZDM: The International Journal on Mathematics Education,45(2),215-225。  new window
3.Vul, E.、Pashler, H.(2007)。Incubation benefits only after people have been misdirected。Memory and Cognition,35(4),701-710。  new window
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17.Chamberlin, S. A.、Moon, S. M.(2005)。Model-eliciting activities as a tool to develop and identify creatively gifted mathematicians。Journal of Secondary Gifted Education,17(1),37-47。  new window
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20.Idris, N.、Mohd Nor, N.(2010)。Mathematical creativity: Usage of technology。Procedia: Social and Behavioral Sciences,2(2),1963-1967。  new window
21.Leikin, R.、Levav-Waynberg, A.、Gurevich, I.、Mednikov, L.(2006)。Implementation of multiple solution connecting tasks: Do students' attitudes support teachers' reluctance?。Focus on Learning Problems in Mathematics,28(1)。  new window
22.Leikin, R.、Lev, M.(2013)。Mathematical creativity in generally gifted and mathematically excelling adolescents: What makes the difference?。ZDM: The International Journal on Mathematics Education,45(2),183-197。  new window
23.Lee, K. S.、Hwang D. J.、Seo, J. J.(2003)。A development of the test for mathematical creative problem solving ability。Journal of the Korea Society of Mathematical Education, Series D: Research in Mathematical Education,7(3),163-189。  new window
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29.Peressini, D.、Knuth, E.(2000)。The role of tasks in developing communities of mathematical inquiry。Teaching Children Mathematics,6(6),391-396。  new window
30.Sriraman, B.(2003)。Can Mathematical Discovery Fill the Existential Void? The Use of Conjecture, Proof and Refutation in a High School Classroom。Mathematics in School,32(2),2-6。  new window
31.Sriraman, B.(2009)。The characteristics of mathematical creativity。ZDM: The International Journal on Mathematics Education,41(1/2),13-27。  new window
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33.Guilford, Joy Paul(1950)。Creativity。American Psychologist,5(9),444-455。  new window
34.Barron, F. M.、Harrington, D. M.(1981)。Creativity, Intelligence, and Personality。Annual Review of Psychology,32(1),439-476。  new window
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36.蕭佳純(20121100)。國小學生內在動機、學科知識與創造力表現關聯之研究:教師創造力教學的調節效果。特殊教育研究學刊,37(3),89-113。new window  延伸查詢new window
會議論文
1.Stillman, G.、Cheung, K. C.、Mason, R.、Sheffield, L.、Sriraman, B.、Ueno, K.(2009)。Challenging mathematics: Classroom practices。The 16th ICMI Study。New York, NY:Springer。243-283。  new window
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3.Leikin, R.(2007)。Habits of mind associated with advanced mathematical thinking and solution spaces of mathematical tasks。The Fifth Congress of the European Society for Research in Mathematics Education。Larnaca:University of Cyprus。2330-2339。  new window
學位論文
1.郭明采(2014)。從多元解題觀察國小數學資優生與一般生在幾何方面的解題歷程表現(碩士論文)。國立臺北教育大學。  延伸查詢new window
2.Mann, E. L.(2005)。Mathematical Creativity and School Mathematics: Indicators of Mathematical Creativity in Middle School Students(博士論文)。University of Connecticut,Storrs, CT。  new window
圖書
1.Krutetskii, V. A.、Kilpatrick, J.、Wirzup, I.、Teller, John(1976)。The Psychology of Mathematical Abilities in School Children。Chicago, IL:The University of Chicago Press。  new window
2.Amabile, T. M.(1989)。Growing up creativity: Nurturing a lifetime of creativity。New York, NY:Crown。  new window
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5.Boden, M. A.(1996)。Dimension of creativity。Cambridge, MA:MIT Press。  new window
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9.Skemp, R. R.(1971)。The psychology of learning mathematics。Baltimore, MD:Penguin Books。  new window
10.Sriraman, B.(2008)。Creativity, giftedness, and talent development in mathematics。Charlotte, NC:Information Age Publishing。  new window
11.Torrance, E. P.(1962)。Guiding Creative Talent。Prentice-Hall。  new window
12.Csikszentmihalyi, M.(1996)。Creativity: Flow and the psychological discovery and invention。HarperCollins Publishers。  new window
13.Sternberg, Robert J.、Lubart, Todd I.(1995)。Defying the Crowd: Cultivating Creativity in a Culture of Conformity。Free Press。  new window
14.Amabile, Teresa M.(1996)。Creativity In Context: Update To The Social Psychology Of Creativity。Routledge。  new window
15.Wallas, Graham(1926)。The art of thought。Harcourt, Bruce and Company。  new window
單篇論文
1.Dodds, A. Rebecca,Ward, B. Thomas,Smith, M. Steven(2004)。A Review of Experimental Research on Incubation in Problem Solving and Creativity,http://ecologylab.net/research/publications/DoddsSmithWardChapter.pdf。  new window
圖書論文
1.Gruber, H. E.、Wallace, D. B.(1999)。The case study method and evolving systems approach for understanding unique creative people at work。Handbook of creativity。Cambridge University Press。  new window
2.Hayes, J. R.(1989)。Cognitive processes in creativity。Handbook of creativity。New York, NY:Plenum。  new window
3.Cropley, A. J.(1997)。Fostering creativity in the classroom: General principles。Creativity research handbook。Cresskill, NJ:Hampton Press。  new window
4.Feldman, D. H.(1999)。The development of creativity。Handbook of creativity。Cambridge University Press。  new window
5.Collins, M. A.、Amabile, T. M.(1999)。Motivation and creativity。Handbook of Creativity。Cambridge University Press。  new window
6.Ervynck, G.(1991)。Mathematical creativity。Advanced mathematical thinking。Dodrecht:Kluwer Academic Publishers。  new window
7.Kim, K. H.(2009)。Creative problem solving。Encyclopedia of giftedness, creativity and talent。Thousand Oaks, CA:Sage。  new window
8.Leikin, R.(2009)。Exploring mathematical creativity using multiple solution tasks。Creativity in mathematics and the education of gifted students。Rotterdam:Sense。  new window
9.Weisberg, R. W.(1999)。Creativity and knowledge: a challenge of theories。Handbook of creativity。Cambridge:Cambridge University Press。  new window
10.Vygotsky, L. S.(1984)。Imagination and creativity in adolescent。The collected works of L. S. Vygotsky: Vol.5, Child psychology。New York, NY:Springer。  new window
11.Csikszentmihalyi, Mihaly(1999)。Implications of a systems perspective for the study of creativity。The Handbook of Creativity。Cambridge University Press。  new window
 
 
 
 
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