메뉴 건너뛰기




Volumn 30, Issue 2, 2006, Pages 236-260

Creativity: The essence of mathematics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34250897541     PISSN: 01623532     EISSN: None     Source Type: Journal    
DOI: 10.4219/jeg-2006-264     Document Type: Article
Times cited : (207)

References (65)
  • 1
    • 34250904087 scopus 로고    scopus 로고
    • Amabile, T. M. (1989). Growing up creative: Nurturing a lifetime of creativity. Buffalo, NY: C.E.F. Press.
    • Amabile, T. M. (1989). Growing up creative: Nurturing a lifetime of creativity. Buffalo, NY: C.E.F. Press.
  • 2
    • 34250850701 scopus 로고
    • Creative ability in mathematics
    • Balka, D. S. (1974). Creative ability in mathematics. Arithmetic Teacher, 21, 633-636.
    • (1974) Arithmetic Teacher , vol.21 , pp. 633-636
    • Balka, D.S.1
  • 4
    • 0003920705 scopus 로고    scopus 로고
    • Becker J. P, & Shimada, S, Eds, Reston, VA: National Council of Teachers of Mathematics
    • Becker J. P., & Shimada, S. (Eds.). (1997). The open-ended approach: A new proposal for teaching mathematics. Reston, VA: National Council of Teachers of Mathematics.
    • (1997) The open-ended approach: A new proposal for teaching mathematics
  • 5
    • 85070018831 scopus 로고    scopus 로고
    • When erroneous mathematical thinking is just as "correct": The oxymoron of rational errors
    • R. J. Sternberg & T. Ben-Zeev Eds, Mahwah, NJ: Lawrence Erlbaum
    • Ben-Zeev, T. (1996). When erroneous mathematical thinking is just as "correct": The oxymoron of rational errors. In R. J. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 55-80). Mahwah, NJ: Lawrence Erlbaum.
    • (1996) The nature of mathematical thinking , pp. 55-80
    • Ben-Zeev, T.1
  • 6
    • 22544464742 scopus 로고    scopus 로고
    • Talent search research: What have we learned?
    • Brody, L. E., & Mills, C. J. (2005). Talent search research: What have we learned? High Ability Studies, 16, 97-111.
    • (2005) High Ability Studies , vol.16 , pp. 97-111
    • Brody, L.E.1    Mills, C.J.2
  • 7
    • 34250876795 scopus 로고    scopus 로고
    • Creativity
    • L. S. Grinstein & S. I. Lipsey Eds, New York: RoutledgeFalmer
    • Bronsan, P. A., & Fitzsimmons, J. A. (2001). Creativity. In L. S. Grinstein & S. I. Lipsey (Eds.), Encyclopedia of mathematics education (pp. 164-166). New York: RoutledgeFalmer.
    • (2001) Encyclopedia of mathematics education , pp. 164-166
    • Bronsan, P.A.1    Fitzsimmons, J.A.2
  • 8
    • 85070017639 scopus 로고    scopus 로고
    • Mathematical abilities: Some results from factor analysis
    • R. J. Sternberg & T. Ben-Zeev Eds, Mahwah, NJ: Lawrence Erlbaum
    • Carroll, J. B. (1996). Mathematical abilities: Some results from factor analysis. In R. J. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 3-25). Mahwah, NJ: Lawrence Erlbaum.
    • (1996) The nature of mathematical thinking , pp. 3-25
    • Carroll, J.B.1
  • 9
    • 34250823999 scopus 로고    scopus 로고
    • An experiment to discover mathematical talent in a primary school in Kampong Air
    • Retrieved March 10, 2003, from
    • Ching, T. P. (1997). An experiment to discover mathematical talent in a primary school in Kampong Air. International Reviews on Mathematical Education, 29(3), 94-96. Retrieved March 10, 2003, from http://www. fizkarlsruhe.de/fix/publications/zdm/adm97
    • (1997) International Reviews on Mathematical Education , vol.29 , Issue.3 , pp. 94-96
    • Ching, T.P.1
  • 10
    • 34250879537 scopus 로고
    • Cognitive science and mathematics education: A mathematicians perspective
    • A. H. Schoenfeld Ed, Mahwah, NJ: Lawrence Erlbaum
    • Crosswhite, F. J. (1987). Cognitive science and mathematics education: A mathematicians perspective. In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 253-277). Mahwah, NJ: Lawrence Erlbaum.
    • (1987) Cognitive science and mathematics education , pp. 253-277
    • Crosswhite, F.J.1
  • 12
    • 6044259875 scopus 로고
    • Thinking creatively in adolescence: A discussion of strategy
    • R. E. Grinder Ed, New York: Macmillan
    • Davis, G. A. (1969). Thinking creatively in adolescence: A discussion of strategy. In R. E. Grinder (Ed.), Studies in adolescence (pp. 538-545). New York: Macmillan.
    • (1969) Studies in adolescence , pp. 538-545
    • Davis, G.A.1
  • 14
    • 34250808947 scopus 로고    scopus 로고
    • de Morgan, A. (1866). Sir W. R. Hamilton. Gentleman's Magazine and Historical Review, 1, 128-134
    • de Morgan, A. (1866). Sir W. R. Hamilton. Gentleman's Magazine and Historical Review, 1, 128-134
  • 16
    • 85069996985 scopus 로고    scopus 로고
    • On different facets of mathematical thinking
    • R. J. Sternberg & T. Ben-Zeev Eds, Mahwah, NJ: Lawrence Erlbaum
    • Dreyfus, T., & Eisenberg, T. (1996). On different facets of mathematical thinking. In R. J. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 253-284). Mahwah, NJ: Lawrence Erlbaum.
    • (1996) The nature of mathematical thinking , pp. 253-284
    • Dreyfus, T.1    Eisenberg, T.2
  • 19
    • 34250832650 scopus 로고    scopus 로고
    • Feverishly fixing an error: Company races to correct inaccurate scoring of Connecticut's mastery test
    • March 21
    • Frahm, R. A. (2004, March 21). Feverishly fixing an error: Company races to correct inaccurate scoring of Connecticut's mastery test. The Hartford Courant, p. A1.
    • (2004) The Hartford Courant
    • Frahm, R.A.1
  • 20
    • 85070020600 scopus 로고    scopus 로고
    • Toby's math
    • R. J. Sternberg & T. Ben-Zeev Eds, Mahwah, NJ: Lawrence Erlbaum
    • Ginsburg, H. P. (1996). Toby's math. In R. J. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 175-282). Mahwah, NJ: Lawrence Erlbaum.
    • (1996) The nature of mathematical thinking , pp. 175-282
    • Ginsburg, H.P.1
  • 22
    • 67649266080 scopus 로고    scopus 로고
    • The methods of fostering creativity through mathematical problem solving
    • Retrieved March 10, 2003, from
    • Hashimoto, Y. (1997). The methods of fostering creativity through mathematical problem solving. International Reviews on Mathematical Education, 29(3), 86-87. Retrieved March 10, 2003, from http://www.fiz- karlsruhe.de/fix/publications/zdm/adm97
    • (1997) International Reviews on Mathematical Education , vol.29 , Issue.3 , pp. 86-87
    • Hashimoto, Y.1
  • 24
    • 24944551175 scopus 로고
    • A framework for assessing mathematical creativity in school children
    • Haylock, D. W. (1987). A framework for assessing mathematical creativity in school children. Education Studies in Mathematics, 18(1), 59-74.
    • (1987) Education Studies in Mathematics , vol.18 , Issue.1 , pp. 59-74
    • Haylock, D.W.1
  • 25
    • 84867413422 scopus 로고    scopus 로고
    • Recognizing mathematical creativity in schoolchildren
    • Retrieved March 10, 2003, from
    • Haylock, D. (1997). Recognizing mathematical creativity in schoolchildren. International Reviews on Mathematical Education, 29(3), 68-74. Retrieved March 10, 2003, from http://www.fizkarlsruhe.de/fix/ publications/zdm/adm97
    • (1997) International Reviews on Mathematical Education , vol.29 , Issue.3 , pp. 68-74
    • Haylock, D.1
  • 26
    • 3042733122 scopus 로고    scopus 로고
    • Cognitive and motivational characteristics of adolescents gifted in mathematics: Comparisons among students with different types of giftedness
    • Hong, E., & Aqui, Y. (2004). Cognitive and motivational characteristics of adolescents gifted in mathematics: Comparisons among students with different types of giftedness. Gifted Child Quarterly, 48, 191-201.
    • (2004) Gifted Child Quarterly , vol.48 , pp. 191-201
    • Hong, E.1    Aqui, Y.2
  • 27
    • 84993993087 scopus 로고    scopus 로고
    • The influence of overcoming fixation in mathematics towards divergent thinking in open-ended mathematics problems on Japanese junior high school students
    • Imai, T. (2000). The influence of overcoming fixation in mathematics towards divergent thinking in open-ended mathematics problems on Japanese junior high school students. International Journal of Mathematical Education in Science and Technology, 31, 187-193.
    • (2000) International Journal of Mathematical Education in Science and Technology , vol.31 , pp. 187-193
    • Imai, T.1
  • 29
    • 85068061231 scopus 로고
    • Problem formulating: Where do good problems come from?
    • A. H. Schoenfeld Ed, Mahwah, NJ: Lawrence Erlbaum
    • Kilpatrick, J. (1987). Problem formulating: Where do good problems come from? In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 123-148). Mahwah, NJ: Lawrence Erlbaum.
    • (1987) Cognitive science and mathematics education , pp. 123-148
    • Kilpatrick, J.1
  • 30
    • 77951693272 scopus 로고    scopus 로고
    • Development of mathematical creative problem solving ability test for identification of gifted in math
    • Kim, H., Cho, S., & Ahn, D. (2003). Development of mathematical creative problem solving ability test for identification of gifted in math. Gifted Education International, 18, 184-174.
    • (2003) Gifted Education International , vol.18 , pp. 184-174
    • Kim, H.1    Cho, S.2    Ahn, D.3
  • 31
    • 34250838549 scopus 로고    scopus 로고
    • Acting artist-like in the classroom
    • Retrieved March 10, 2003, from
    • Köhler, H. (1997). Acting artist-like in the classroom. International Reviews on Mathematical Education, 29(3), 88-93. Retrieved March 10, 2003, from http://www.fizkarlsruhe.de/fix/publications/zdm/adm97
    • (1997) International Reviews on Mathematical Education , vol.29 , Issue.3 , pp. 88-93
    • Köhler, H.1
  • 33
    • 34250848200 scopus 로고    scopus 로고
    • Learning Point Associates. (2004). All students reaching the top: Strategies for closing academic achievement gaps. A report of the national study group for the affirmative development of academic ability. Retrieved October 18, 2004, from http://www.ncrel.org/gap/studies/allstudents.pdf
    • Learning Point Associates. (2004). All students reaching the top: Strategies for closing academic achievement gaps. A report of the national study group for the affirmative development of academic ability. Retrieved October 18, 2004, from http://www.ncrel.org/gap/studies/allstudents.pdf
  • 35
    • 85070012865 scopus 로고    scopus 로고
    • The process of understanding mathematical problems
    • R. J. Sternberg & T. Ben-Zeev Eds, Mahwah, NJ: Lawrence Erlbaum
    • Mayer, R. E., & Hegarty, M. (1996). The process of understanding mathematical problems. In R. J. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 29-54). Mahwah, NJ: Lawrence Erlbaum.
    • (1996) The nature of mathematical thinking , pp. 29-54
    • Mayer, R.E.1    Hegarty, M.2
  • 37
    • 0010143590 scopus 로고
    • National Council of Teachers of Mathematics, Reston, VA: Author
    • National Council of Teachers of Mathematics. (1980). An agenda for action. Reston, VA: Author.
    • (1980) An agenda for action
  • 38
    • 0003865799 scopus 로고    scopus 로고
    • National Council of Teachers of Mathematics, Reston, VA: Author
    • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
    • (2000) Principles and standards for school mathematics
  • 39
    • 34250793841 scopus 로고    scopus 로고
    • No Child Left Behind Act
    • No Child Left Behind Act, 20 U.S.C. 6301 (2001).
    • (2001) 20 U.S.C. 6301
  • 40
    • 84867434429 scopus 로고    scopus 로고
    • The state-of-art in mathematical creativity
    • Retrieved March 10, 2003, from
    • Pehkonen, E. (1997). The state-of-art in mathematical creativity. International Reviews on Mathematical Education, 29, 63-66. Retrieved March 10, 2003, from http://www.fiz-karlsruhe.de/fix/publications/zdm/adm97
    • (1997) International Reviews on Mathematical Education , vol.29 , pp. 63-66
    • Pehkonen, E.1
  • 43
    • 0031081838 scopus 로고    scopus 로고
    • The application of enrichment clusters to teachers' classroom practices
    • Reis, S. M., Gentry, M., & Maxfield, L. R. (1998). The application of enrichment clusters to teachers' classroom practices. Journal for Education of the Gifted, 21, 310-324.
    • (1998) Journal for Education of the Gifted , vol.21 , pp. 310-324
    • Reis, S.M.1    Gentry, M.2    Maxfield, L.R.3
  • 44
    • 7444261746 scopus 로고
    • What makes giftedness? Reexamining a definition
    • Renzulli, J. S. (1978). What makes giftedness? Reexamining a definition. Phi Delta Kappan, 60, 180-184, 261.
    • (1978) Phi Delta Kappan , vol.60 , Issue.180-184 , pp. 261
    • Renzulli, J.S.1
  • 45
    • 34250860020 scopus 로고    scopus 로고
    • Storrs: University of Connecticut, National Research Center on the Gifted and Talented. Retrieved November 12, 2002, from
    • Renzulli, J. S. (1997). How to develop an authentic enrichment cluster. Storrs: University of Connecticut, National Research Center on the Gifted and Talented. Retrieved November 12, 2002, from http://www.gifted.uconn. edu/sem/semart01.html
    • (1997) How to develop an authentic enrichment cluster
    • Renzulli, J.S.1
  • 46
    • 23444449888 scopus 로고    scopus 로고
    • The three-ring conception of giftedness
    • S. M. Baum, S. M. Reis, & L. R. Maxfield Eds, Mansfield Center, CT: Creative Learning Press
    • Renzulli, J. S. (1998). The three-ring conception of giftedness. In S. M. Baum, S. M. Reis, & L. R. Maxfield (Eds.), Nurturing the gifts and talents of primary grade students (pp. 1-27). Mansfield Center, CT: Creative Learning Press.
    • (1998) Nurturing the gifts and talents of primary grade students , pp. 1-27
    • Renzulli, J.S.1
  • 50
    • 34250795569 scopus 로고    scopus 로고
    • Runco, M. A. (1993). Creativity as an educational objective for disadvantaged students (RBDM 9306). Storrs: University of Connecticut, The National Research Center on the Gifted and Talented.
    • Runco, M. A. (1993). Creativity as an educational objective for disadvantaged students (RBDM 9306). Storrs: University of Connecticut, The National Research Center on the Gifted and Talented.
  • 51
    • 78651241383 scopus 로고
    • When good teaching leads to bad results: The disasters of "well-taught" mathematics courses
    • Schoenfeld, A. H. (1988). When good teaching leads to bad results: The disasters of "well-taught" mathematics courses. Educational Psychologist, 23, 145-166.
    • (1988) Educational Psychologist , vol.23 , pp. 145-166
    • Schoenfeld, A.H.1
  • 52
    • 34250888649 scopus 로고    scopus 로고
    • Sheffield, L. J., Bennett, J., Beriozábal, M., DeArmond, M., & Wertheimer, R. (1999). Report of the task force on the mathematically promising. In L. J. Sheffield (Ed.), Developing mathematically promising students (pp. 309-316). Reston, VA: National Council of Teachers of Mathematics.
    • Sheffield, L. J., Bennett, J., Beriozábal, M., DeArmond, M., & Wertheimer, R. (1999). Report of the task force on the mathematically promising. In L. J. Sheffield (Ed.), Developing mathematically promising students (pp. 309-316). Reston, VA: National Council of Teachers of Mathematics.
  • 53
    • 34250836296 scopus 로고    scopus 로고
    • The significance of an open-ended approach
    • J. P. Becker & S. Shimada Eds, Reston, VA: National Council of Teachers of Mathematics
    • Shimada, S. (1997). The significance of an open-ended approach. In J. P. Becker & S. Shimada (Eds.), The open-ended approach: A new proposal for teaching mathematics (pp. 1-9). Reston, VA: National Council of Teachers of Mathematics.
    • (1997) The open-ended approach: A new proposal for teaching mathematics , pp. 1-9
    • Shimada, S.1
  • 54
    • 34250900300 scopus 로고    scopus 로고
    • Fostering creativity though instruction rich mathematical problem solving and problem posing
    • Retrieved March 10, 2003, from
    • Silver, E. A. (1997). Fostering creativity though instruction rich mathematical problem solving and problem posing. International Reviews on Mathematical Education, 29, 75-80. Retrieved March 10, 2003, from http://www.fiz-karlsruhe.de/fix/publications/zdm/adm97
    • (1997) International Reviews on Mathematical Education , vol.29 , pp. 75-80
    • Silver, E.A.1
  • 58
    • 85070023392 scopus 로고    scopus 로고
    • What is mathematical thinking?
    • R. J. Sternberg & T. Ben-Zeev Eds, Mahwah, NJ: Lawrence Erlbaum
    • Sternberg, R. J. (1996). What is mathematical thinking? In R. J. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 303-318). Mahwah, NJ: Lawrence Erlbaum.
    • (1996) The nature of mathematical thinking , pp. 303-318
    • Sternberg, R.J.1
  • 64
    • 34250863801 scopus 로고    scopus 로고
    • The mathematically promising and the mathematically gifted
    • L. J. Sheffield Ed, Reston, VA: National Council of Teachers of Mathematics
    • Usiskin, Z. (1999). The mathematically promising and the mathematically gifted. In L. J. Sheffield (Ed.), Developing mathematically promising students (pp. 57-69). Reston, VA: National Council of Teachers of Mathematics.
    • (1999) Developing mathematically promising students , pp. 57-69
    • Usiskin, Z.1
  • 65
    • 34250841110 scopus 로고
    • Mathematics: Creativity, imagination, beauty
    • Whitcombe, A. (1988). Mathematics: Creativity, imagination, beauty. Mathematics in School, 17, 13-15.
    • (1988) Mathematics in School , vol.17 , pp. 13-15
    • Whitcombe, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.