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Volumn 45, Issue 2, 2013, Pages 183-197

Mathematical creativity in generally gifted and mathematically excelling adolescents: What makes the difference?

Author keywords

General giftedness; High level of mathematical instruction; Mathematical creativity; Multiple solution tasks (MST)

Indexed keywords


EID: 84892847900     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/s11858-012-0460-8     Document Type: Article
Times cited : (71)

References (38)
  • 1
    • 77951879426 scopus 로고    scopus 로고
    • Model-eliciting activities: An introduction to gifted education
    • Chamberlin, S. A., & Moon, S. (2005). Model-eliciting activities: An introduction to gifted education. Journal of Secondary Gifted Education, 17, 37-47.
    • (2005) Journal of Secondary Gifted Education , vol.17 , pp. 37-47
    • Chamberlin, S.A.1    Moon, S.2
  • 2
    • 57849096647 scopus 로고    scopus 로고
    • Approaches to the teaching of creative and non-creative mathematical problems
    • Chiu, M. S. (2009). Approaches to the teaching of creative and non-creative mathematical problems. International Journal of Science and Mathematics Education, 7, 55-79.
    • (2009) International Journal of Science and Mathematics Education , vol.7 , pp. 55-79
    • Chiu, M.S.1
  • 3
    • 0002018355 scopus 로고
    • Society, culture, and person: A systems view of creativity
    • R. J. Sternberg (Ed.), New York: Cambridge University Press
    • Csikszentmihalyi, M. (1988). Society, culture, and person: A systems view of creativity. In R. J. Sternberg (Ed.), The nature of creativity (pp. 325-339). New York: Cambridge University Press.
    • (1988) The Nature of Creativity , pp. 325-339
    • Csikszentmihalyi, M.1
  • 5
    • 0002478771 scopus 로고
    • Insight and giftedness
    • R. J. Sternberg and J. E. Davidson (Eds.), New York: Cambridge University Press
    • Davidson, J. E. (1986). Insight and giftedness. In R. J. Sternberg & J. E. Davidson (Eds.), Conceptions of giftedness (pp. 201-222). New York: Cambridge University Press.
    • (1986) Conceptions of Giftedness , pp. 201-222
    • Davidson, J.E.1
  • 6
    • 23844462557 scopus 로고    scopus 로고
    • Insights about insightful problem solving
    • J. E. Davidson and R. J. Sternberg (Eds.), New York: Cambridge University Press
    • Davidson, J. E. (2003). Insights about insightful problem solving. In J. E. Davidson & R. J. Sternberg (Eds.), The psychology of problem solving (pp. 149-175). New York: Cambridge University Press.
    • (2003) The Psychology of Problem Solving , pp. 149-175
    • Davidson, J.E.1
  • 7
    • 13544262696 scopus 로고
    • Mathematical creativity
    • D. Tall (Ed.), Dordrecht: Kluwer
    • Ervynck, G. (1991). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking (pp. 42-53). Dordrecht: Kluwer.
    • (1991) Advanced Mathematical Thinking , pp. 42-53
    • Ervynck, G.1
  • 10
    • 24944551175 scopus 로고
    • A framework for assessing mathematical creativity in schoolchildren
    • Haylock, D. W. (1987). A framework for assessing mathematical creativity in schoolchildren. Educational Studies in Mathematics, 18, 59-74.
    • (1987) Educational Studies in Mathematics , vol.18 , pp. 59-74
    • Haylock, D.W.1
  • 11
    • 85142794454 scopus 로고    scopus 로고
    • Mathematical creativity and giftedness in elementary school: Task and teacher promoting creativity for all
    • R. Leikin, A. Berman, and B. Koichu (Eds.), Rotterdam: Sense Publishers
    • Hershkovitz, S., Peled, I., & Littler, G. (2009). Mathematical creativity and giftedness in elementary school: Task and teacher promoting creativity for all. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 255-269). Rotterdam: Sense Publishers.
    • (2009) Creativity in Mathematics and the Education of Gifted Students , pp. 255-269
    • Hershkovitz, S.1    Peled, I.2    Littler, G.3
  • 12
    • 0003694167 scopus 로고
    • Translated from Russian by J. Teller; Edited by J. Kilpatrick & I. Wirszup. Chicago: The University of Chicago Press
    • Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Translated from Russian by J. Teller; Edited by J. Kilpatrick & I. Wirszup. Chicago: The University of Chicago Press.
    • (1976) The psychology of mathematical abilities in schoolchildren
    • Krutetskii, V.A.1
  • 13
    • 33847138965 scopus 로고    scopus 로고
    • Cultivating divergent thinking in mathematics through an open-ended approach
    • Kwon, O. N., Park, J. S., & Park, J. H. (2006). Cultivating divergent thinking in mathematics through an open-ended approach. Asia Pacific Education Review, 7, 51-61.
    • (2006) Asia Pacific Education Review , vol.7 , pp. 51-61
    • Kwon, O.N.1    Park, J.S.2    Park, J.H.3
  • 14
    • 84867473734 scopus 로고    scopus 로고
    • About four types of mathematical connections and solving problems in different ways
    • (in Hebrew)
    • Leikin, R. (2006). About four types of mathematical connections and solving problems in different ways. Aleh-The (Israeli) Senior School Mathematics Journal, 36, 8-14 (in Hebrew).
    • (2006) Aleh-The (Israeli) Senior School Mathematics Journal , vol.36 , pp. 8-14
    • Leikin, R.1
  • 15
    • 79951829405 scopus 로고    scopus 로고
    • Habits of mind associated with advanced mathematical thinking and solution spaces of mathematical tasks
    • In D. Pitta-Pantazi, & G. Philippou (Eds.), (CD-ROM and on-line), Accessed 4 Sept 2012
    • Leikin, R. (2007). Habits of mind associated with advanced mathematical thinking and solution spaces of mathematical tasks. In D. Pitta-Pantazi, & G. Philippou (Eds.), Proceedings of the fifth conference of the European Society for Research in Mathematics Education-CERME-5 (pp. 2330-2339) (CD-ROM and on-line). http://ermeweb. free. fr/Cerme5. pdf. Accessed 4 Sept 2012.
    • (2007) Proceedings of the fifth conference of the European Society for Research in Mathematics Education-CERME-5 , pp. 2330-2339
    • Leikin, R.1
  • 16
    • 85126373534 scopus 로고    scopus 로고
    • Exploring mathematical creativity using multiple solution tasks
    • R. Leikin, A. Berman, and B. Koichu (Eds.), Rotterdam: Sense Publishers
    • Leikin, R. (2009). Exploring mathematical creativity using multiple solution tasks. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 129-145). Rotterdam: Sense Publishers.
    • (2009) Creativity in Mathematics and the Education of Gifted Students , pp. 129-145
    • Leikin, R.1
  • 17
    • 79952416317 scopus 로고    scopus 로고
    • Multiple solution tasks as a magnifying glass for observation of mathematical creativity
    • J. H. Woo, H. C. Lew, K. S. Park, and D. Y. Seo (Eds.), Korea: The Korea Society of Education Studies in Mathematics
    • Leikin, R., & Lev, M. (2007). Multiple solution tasks as a magnifying glass for observation of mathematical creativity. In J. H. Woo, H. C. Lew, K. S. Park, & D. Y. Seo (Eds.), Proceedings of the 31st international conference for the psychology of mathematics education (Vol. 3, pp. 161-168). Korea: The Korea Society of Education Studies in Mathematics.
    • (2007) Proceedings of the 31st International Conference for the Psychology of Mathematics Education , vol.3 , pp. 161-168
    • Leikin, R.1    Lev, M.2
  • 18
    • 84155172312 scopus 로고    scopus 로고
    • The role of multiple solution tasks in developing knowledge and creativity in geometry
    • Levav-Waynberg, A., & Leikin, R. (2012). The role of multiple solution tasks in developing knowledge and creativity in geometry. Journal of Mathematical Behavior, 31, 73-90.
    • (2012) Journal of Mathematical Behavior , vol.31 , pp. 73-90
    • Levav-Waynberg, A.1    Leikin, R.2
  • 22
    • 34250897541 scopus 로고    scopus 로고
    • Creativity: The essence of mathematics
    • Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236-262.
    • (2006) Journal for the Education of the Gifted , vol.30 , Issue.2 , pp. 236-262
    • Mann, E.L.1
  • 23
    • 79951826838 scopus 로고    scopus 로고
    • Talent loss in mathematics: Causes and solutions
    • R. Leikin, A. Berman, and B. Koichu (Eds.), Rotterdam: Sense Publishers
    • Milgram, R., & Hong, E. (2009). Talent loss in mathematics: Causes and solutions. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 149-163). Rotterdam: Sense Publishers.
    • (2009) Creativity in Mathematics and the Education of Gifted Students , pp. 149-163
    • Milgram, R.1    Hong, E.2
  • 24
    • 45849111256 scopus 로고
    • Information processing in intellectually highly gifted children by solving mathematical tasks
    • Overtoom-Corsmit, R., Dekker, R., & Span, P. (1990). Information processing in intellectually highly gifted children by solving mathematical tasks. Gifted Education International, 6, 143-148.
    • (1990) Gifted Education International , vol.6 , pp. 143-148
    • Overtoom-Corsmit, R.1    Dekker, R.2    Span, P.3
  • 25
    • 84892858152 scopus 로고    scopus 로고
    • Identification of creativity
    • J. Piirto (Ed.), Upper Saddle River, NJ: Prentice Hall
    • Piirto, J. (1999). Identification of creativity. In J. Piirto (Ed.), Talented children and adults: Their development and education (pp. 136-184). Upper Saddle River, NJ: Prentice Hall.
    • (1999) Talented Children and Adults: Their Development and Education , pp. 136-184
    • Piirto, J.1
  • 27
    • 0000943787 scopus 로고
    • What makes giftedness? Re-examining a definition
    • Renzulli, J. (1978). What makes giftedness? Re-examining a definition. Phi Delta Kappan, 60, 180-184, 261.
    • (1978) Phi Delta Kappan , vol.60 , pp. 180-184
    • Renzulli, J.1
  • 28
    • 0001896110 scopus 로고
    • The three-ring conception of giftedness: A developmental model for creative productivity
    • R. J. Sternberg and J. E. Davidson (Eds.), New York, NY: Cambridge University Press
    • Renzulli, J. S. (1986). The three-ring conception of giftedness: A developmental model for creative productivity. In R. J. Sternberg & J. E. Davidson (Eds.), Conceptions of giftedness (pp. 332-357). New York, NY: Cambridge University Press.
    • (1986) Conceptions of Giftedness , pp. 332-357
    • Renzulli, J.S.1
  • 29
    • 79952417107 scopus 로고    scopus 로고
    • Developing mathematical creativity-questions may be the answer
    • R. Leikin, A. Berman, and B. Koichu (Eds.), Rotterdam: Sense Publishers
    • Sheffield, L. J. (2009). Developing mathematical creativity-questions may be the answer. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 87-100). Rotterdam: Sense Publishers.
    • (2009) Creativity in Mathematics and the Education of Gifted Students , pp. 87-100
    • Sheffield, L.J.1
  • 30
    • 34250900300 scopus 로고    scopus 로고
    • Fostering creativity through instruction rich in mathematical problem solving and problem posing
    • Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM-The International Journal on Mathematical Education, 29(3), 75-80.
    • (1997) ZDM-The International Journal on Mathematical Education , vol.29 , Issue.3 , pp. 75-80
    • Silver, E.A.1
  • 31
    • 77951879522 scopus 로고    scopus 로고
    • Are giftedness and creativity synonyms in mathematics? An analysis of constructs within the professional and school realms
    • Sriraman, B. (2005). Are giftedness and creativity synonyms in mathematics? An analysis of constructs within the professional and school realms. The Journal of Secondary Gifted Education, 17, 20-36.
    • (2005) The Journal of Secondary Gifted Education , vol.17 , pp. 20-36
    • Sriraman, B.1
  • 33
    • 85142829888 scopus 로고    scopus 로고
    • The psychosocial dimensions of creativity in mathematics: Implications for gifted education policy
    • R. Leikin, A. Berman, and B. Koichu (Eds.), Rotterdam: Sense Publishers
    • Subotnik, R. F., Pillmeier, E., & Jarvin, L. (2009). The psychosocial dimensions of creativity in mathematics: Implications for gifted education policy. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 165-179). Rotterdam: Sense Publishers.
    • (2009) Creativity in Mathematics and the Education of Gifted Students , pp. 165-179
    • Subotnik, R.F.1    Pillmeier, E.2    Jarvin, L.3
  • 35
    • 4644362430 scopus 로고
    • Imagination and its development in childhood
    • In V. V. Davydov (Ed.), Moscow: Pedagogika (in Russian)
    • Vygotsky, L. S. (1930/1982). Imagination and its development in childhood. In V. V. Davydov (Ed.), General problems of psychology. The collected works of L. S. Vygotsky (Vol. 2, pp. 438-454). Moscow: Pedagogika (in Russian).
    • (1930) General problems of psychology. The collected works of L. S. Vygotsky , vol.2 , pp. 438-454
    • Vygotsky, L.S.1
  • 36
    • 79951830041 scopus 로고
    • Imagination and creativity in adolescent
    • In D. B. Elkonin (Ed., Moscow: Pedagogika (in Russian)
    • Vygotsky, L. S. (1930/1984). Imagination and creativity in adolescent. In D. B. Elkonin (Ed.), Child psychology. The collected works of L. S. Vygotsky (Vol. 4, pp. 199-219). Moscow: Pedagogika (in Russian).
    • (1930) Child psychology. The collected works of L. S. Vygotsky , vol.4 , pp. 199-219
    • Vygotsky, L.S.1
  • 38
    • 84892869932 scopus 로고    scopus 로고
    • Educational technology and curricular design: Promoting mathematical creativity for all students
    • R. Leikin, A. Berman, and B. Koichu (Eds.), Rotterdam: Sense Publishers
    • Yerushalmy, M. (2009). Educational technology and curricular design: Promoting mathematical creativity for all students. In R. Leikin, A. Berman, & B. Koichu (Eds.), Mathematical creativity and the education of gifted students (pp. 101-113). Rotterdam: Sense Publishers.
    • (2009) Mathematical Creativity and the Education of Gifted Students , pp. 101-113
    • Yerushalmy, M.1


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