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Volumn , Issue , 2009, Pages 385-411

BRIDGING RESEARCH AND THEORY IN MATHEMATICS EDUCATION WITH RESEARCH AND THEORY IN CREATIVITY AND GIFTEDNESS

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EID: 85142821516     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1163/9789087909352_024     Document Type: Chapter
Times cited : (23)

References (88)
  • 2
    • 84973847619 scopus 로고
    • Profiles of the gifted and talented
    • Betts, G., & Neihart, M. (1988). Profiles of the gifted and talented. Gifted Child Quarterly, 32, 248-253.
    • (1988) Gifted Child Quarterly , vol.32 , pp. 248-253
    • Betts, G.1    Neihart, M.2
  • 5
    • 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
  • 7
    • 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
  • 10
    • 85007883764 scopus 로고    scopus 로고
    • Russian schools for the mathematically and scientifically talented: Can the vision survive unchanged?
    • Donoghue, E.F., Karp, A., & Vogeli, B.R. (2000). Russian schools for the mathematically and scientifically talented: Can the vision survive unchanged? Roeper Review. A Journal of Gifted Education, 22 (2), 121-122.
    • (2000) Roeper Review. a Journal of Gifted Education , vol.22 , Issue.2 , pp. 121-122
    • Donoghue, E.F.1    Karp, A.2    Vogeli, B.R.3
  • 11
    • 33645682885 scopus 로고    scopus 로고
    • A semiotic perspective of mathematical activity: The case of number. educational
    • Ernest
    • Ernest. (2006). A semiotic perspective of mathematical activity: The case of number. Educational Studies in Mathematics, 61, 67-101.
    • (2006) Studies in Mathematics , vol.61 , pp. 67-101
  • 12
    • 13544262696 scopus 로고
    • Mathematical creativity
    • In D. Tall (Ed.), Dordrecht, Netherlands: Kluwer
    • Ervynck, G. (1991). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking (pp.42-53). Dordrecht, Netherlands: Kluwer.
    • (1991) Advanced Mathematical Thinking , pp. 42-53
    • Ervynck, G.1
  • 14
    • 0010690529 scopus 로고
    • The interactions between the formal, the algorithmic, and the intuitive components in a mathematical activity
    • In R.Biehler, R.W.Scholz, R.StraBer, & B. Winkelmann (Eds.), The Netherlands: Kluwer Academic Publishers
    • Fischbein, E. (1984). The interactions between the formal, the algorithmic, and the intuitive components in a mathematical activity. In R.Biehler, R.W.Scholz, R.StraBer, & B. Winkelmann (Eds.), Didactics of mathematics as a scientific discipline (pp.231-245). The Netherlands: Kluwer Academic Publishers.
    • (1984) Didactics of Mathematics as a Scientific Discipline , pp. 231-245
    • Fischbein, E.1
  • 15
    • 0037410801 scopus 로고    scopus 로고
    • What can we learn from how gifted/average pupils describe their process of problem solving?
    • Gorodetsky, M., & Klavir, R. (2003). What can we learn from how gifted/average pupils describe their process of problem solving? Learning and Instruction, 13, 305-325.
    • (2003) Learning and Instruction , vol.13 , pp. 305-325
    • Gorodetsky, M.1    Klavir, R.2
  • 17
    • 34250814672 scopus 로고    scopus 로고
    • Recognition of giftedness in the early years of school: Perspectives of teachers, parents, and children
    • Hodge, K.A., & Kemp, C.R. (2006). Recognition of giftedness in the early years of school: Perspectives of teachers, parents, and children. Journal for the Education of the Gifted, 30, 164-204.
    • (2006) Journal for the Education of the Gifted , vol.30 , pp. 164-204
    • Hodge, K.A.1    Kemp, C.R.2
  • 19
    • 3042733122 scopus 로고    scopus 로고
    • Cognitive and motivational characteristics of adolescents gifted in mathematics: Comparison among students with different types of giftedness
    • Hong, E., & Aqui, Y. (2004). Cognitive and motivational characteristics of adolescents gifted in mathematics: Comparison among students with different types of giftedness. The Gifted Child Quarterly, 48, 191-201.
    • (2004) The Gifted Child Quarterly , vol.48 , pp. 191-201
    • Hong, E.1    Aqui, Y.2
  • 20
    • 33749863997 scopus 로고    scopus 로고
    • Creative mathematics- real or rhetoric?- review of r., phillips, e. and higginson, w. (1997) creative mathematics: Exploring children’s understanding. london: Routledge
    • Huckstep, P., & Rowland, T. (2000).'Creative mathematics'- Real or Rhetoric?- Review of R., Phillips, E. and Higginson, W. (1997) Creative Mathematics: Exploring Children's Understanding. London: Routledge. Educational Studies in Mathematics, 42, 81-100.
    • (2000) Educational Studies in Mathematics , vol.42 , pp. 81-100
    • Huckstep, P.1    Rowland, T.2
  • 23
    • 33645648030 scopus 로고    scopus 로고
    • Educating new mathematics teachers: Integrating theory and practice, and the roles of practicing teachers
    • In A.J.Bishop, M.A.Clements, D.Brunei, C.Keitel, J.Kilpatrick, & F.K.S. Leung (Eds.), Dordrecht, The Netherlands: Kluwer
    • Jaworski, B., & Gellert, U. (2003). Educating new mathematics teachers: Integrating theory and practice, and the roles of practicing teachers. In A.J.Bishop, M.A.Clements, D.Brunei, C.Keitel, J.Kilpatrick, & F.K.S. Leung (Eds.), The second international handbook of mathematics education (pp.829-875). Dordrecht, The Netherlands: Kluwer.
    • (2003) The Second International Handbook of Mathematics Education , pp. 829-875
    • Jaworski, B.1    Gellert, U.2
  • 24
    • 85106877746 scopus 로고    scopus 로고
    • Sanct-Petersburg, Russia: SMIO press. (in Russian)
    • Karp, A. (2007). In the memory of A.R.Maiselis.Sanct-Petersburg, Russia: SMIO press. (in Russian).
    • (2007) In the Memory of A.R.Maiselis
    • Karp, A.1
  • 25
    • 0007032497 scopus 로고
    • Selection of mathematically talented students
    • Kissane, B.V. (1986). Selection of mathematically talented students. Educational Studies in Mathematics, 17, 221-241.
    • (1986) Educational Studies in Mathematics , vol.17 , pp. 221-241
    • Kissane, B.V.1
  • 26
    • 77951263997 scopus 로고    scopus 로고
    • When do gifted high school students use geometry to solve geometry problems?
    • Koichu, B., & Berman, A. (2005). When do gifted high school students use geometry to solve geometry problems? The Journal of Secondary Gifted Education, 16(4), 168-179.
    • (2005) The Journal of Secondary Gifted Education , vol.16 , Issue.4 , pp. 168-179
    • Koichu, B.1    Berman, A.2
  • 28
    • 77951275543 scopus 로고    scopus 로고
    • Patterns of middle school students’ heuristic behaviors in solving seemingly familiar problems
    • In J.Novotna, H.Moraova, M.Kratka, & N. Stehlikova (Eds.), Prague: Charles University
    • Koichu, B., Berman, A., & Moore, M. (2006). Patterns of middle school students' heuristic behaviors in solving seemingly familiar problems. In J.Novotna, H.Moraova, M.Kratka, & N. Stehlikova (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (Vol.3, pp.457-464). Prague: Charles University.
    • (2006) Proceedings of the 30Th Conference of the International Group for the Psychology of Mathematics Education , vol.3 , pp. 457-464
    • Koichu, B.1    Berman, A.2    Moore, M.3
  • 29
    • 2942535288 scopus 로고    scopus 로고
    • Teachers’ growth is more than the growth of individual teachers: The case of gisela
    • In F.L. Lin & T.J. Cooney (Eds.), Dordrecht, The Netherlands: Kluwer
    • Krainer, K. (2001). Teachers' growth is more than the growth of individual teachers: The case of Gisela. In F.L. Lin & T.J. Cooney (Eds.), Making sense of mathematics teacher education (pp.271-293). Dordrecht, The Netherlands: Kluwer.
    • (2001) Making Sense of Mathematics Teacher Education , pp. 271-293
    • Krainer, K.1
  • 31
    • 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
  • 32
    • 79952416317 scopus 로고    scopus 로고
    • 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.), Korea: The Korea Society of Educational 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 Educational 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
  • 33
    • 85011452718 scopus 로고    scopus 로고
    • Solution spaces of multiple-solution connecting tasks as a mirror of the development of mathematics teachers’ knowledge
    • Leikin, R., & Levav-Waynberg, A. (2008). Solution spaces of multiple-solution connecting tasks as a mirror of the development of mathematics teachers' knowledge. Canadian Journal of Science, Mathematics and Technology Education, 8 (3), 233-251.
    • (2008) Canadian Journal of Science, Mathematics and Technology Education , vol.8 , Issue.3 , pp. 233-251
    • Leikin, R.1    Levav-Waynberg, A.2
  • 35
    • 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 , vol.36 , pp. 8-14
    • Leikin, R.1
  • 36
    • 79951829405 scopus 로고    scopus 로고
    • Habits of mind associated with advanced mathematical thinking and solution spaces of mathematical tasks
    • D.Pitta-Pantazi & G. Philippou (Eds.), CD-ROM and On-line
    • 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). Retrieved from http://ermeweb.free.fr/Cerme5.pdf
    • (2007) Proceedings of the Fifth Conference of the European Society for Research in Mathematics Education- CERME-5 , pp. 2330-2339
    • Leikin, R.1
  • 38
    • 38049009024 scopus 로고    scopus 로고
    • Teacher flexibility in mathematical discussion
    • Leikin, R.& Dinur, S. (2007). Teacher flexibility in mathematical discussion. Journal of Mathematical Behavior, 26, 328-347.
    • (2007) Journal of Mathematical Behavior , vol.26 , pp. 328-347
    • Leikin, R.1    Dinur, S.2
  • 44
    • 38549108482 scopus 로고    scopus 로고
    • A research framework for creative and imitative reasoning
    • Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67, 255-276.
    • (2008) Educational Studies in Mathematics , vol.67 , pp. 255-276
    • Lithner, J.1
  • 49
    • 79952415930 scopus 로고
    • Report of the nctm task force on the mathematically promising
    • National Council of Teachers of Mathematics (NCTM). (1995). Report of the NCTM task force on the mathematically promising. NCTM News Bulletin, 32.
    • (1995) NCTM News Bulletin , vol.32
  • 51
    • 33847041434 scopus 로고    scopus 로고
    • Investigating the influence of attribution styles on the development of mathematical talent
    • Nokelainen, P., Tirry, K., & Merenti-Valimaki, H.-L. (2007). Investigating the influence of attribution styles on the development of mathematical talent. The Gifted Child Quarterly, 51, 64-81.
    • (2007) The Gifted Child Quarterly , vol.51 , pp. 64-81
    • Nokelainen, P.1    Tirry, K.2    Merenti-Valimaki, H.-L.3
  • 52
    • 37149043358 scopus 로고    scopus 로고
    • The role of participation in in-school and outside-of-school activities in the talent development of gifted students
    • Olszewski-Kubilius, P., & Lee, S.-Y. (2004). The role of participation in in-school and outside-of-school activities in the talent development of gifted students. The Journal of Secondary Gifted Education, 15, 107-123.
    • (2004) The Journal of Secondary Gifted Education , vol.15 , pp. 107-123
    • Olszewski-Kubilius, P.1    Lee, S.-Y.2
  • 54
    • 0004235832 scopus 로고
    • Princeton, NJ: Princeton University
    • Polya, G. (1973). How to solve it. Princeton, NJ: Princeton University.
    • (1973) How to Solve It
    • Polya, G.1
  • 55
  • 56
    • 3843085125 scopus 로고    scopus 로고
    • Creativity, mathematizing, and didactizing: Leen streefland’s work continues
    • Presmeg, N. (2003). Creativity, mathematizing, and didactizing: Leen Streefland's work continues. Educational Studies in Mathematics, 54, 127-137.
    • (2003) Educational Studies in Mathematics , vol.54 , pp. 127-137
    • Presmeg, N.1
  • 57
    • 85107648129 scopus 로고    scopus 로고
    • Education of gifted students in israel: General and mathematics education
    • Rachmel, S., & Leikin, R. (2009). Education of gifted students in Israel: General and mathematics education. Gifted Education Press Quarterly, 23, 6-9.
    • (2009) Gifted Education Press Quarterly , vol.23 , pp. 6-9
    • Rachmel, S.1    Leikin, R.2
  • 58
    • 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 , Issue.180-184 , pp. 261
    • Renzulli, J.1
  • 59
    • 0001896110 scopus 로고
    • The three-ring conception of giftedness: A developmental model for creative productivity
    • In R.J. Sternberg & J.E. Davidson (Eds.), New York: 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: Cambridge University Press.
    • (1986) Conceptions of Giftedness , pp. 332-357
    • Renzulli, J.S.1
  • 60
    • 26044453017 scopus 로고    scopus 로고
    • Expanding the conception of giftedness to include co-cognitive traits and to promote social capital
    • Renzulli, J. (2002). Expanding the conception of giftedness to include co-cognitive traits and to promote social capital. Phi Delta Kappan, 84(1), 33-58.
    • (2002) Phi Delta Kappan , vol.84 , Issue.1 , pp. 33-58
    • Renzulli, J.1
  • 61
    • 0002209063 scopus 로고    scopus 로고
    • Intrinsic and extrinsic motivations: Classic definitions and new directions
    • Ryan, R.M., & Deci, E.L. (1999). Intrinsic and extrinsic motivations: Classic definitions and new directions. Contemporary Educational Psychology, 25, 54-67.
    • (1999) Contemporary Educational Psychology , vol.25 , pp. 54-67
    • Ryan, R.M.1    Deci, E.L.2
  • 63
  • 65
    • 0002546637 scopus 로고
    • On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin
    • Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22, 1-36.
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 1-36
    • Sfard, A.1
  • 69
    • 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, 3, 75-80.
    • (1997) ZDM , vol.3 , pp. 75-80
    • Silver, E.A.1
  • 73
    • 2942591342 scopus 로고    scopus 로고
    • Mathematical giftedness, problem solving, and the ability to formulate generalizations
    • Sriraman, B. (2003). Mathematical giftedness, problem solving, and the ability to formulate generalizations. The Journal of Secondary Gifted Education, 14, 151-165.
    • (2003) The Journal of Secondary Gifted Education , vol.14 , pp. 151-165
    • Sriraman, B.1
  • 74
    • 77951879522 scopus 로고    scopus 로고
    • Are giftedness & creativity synonyms in mathematics? An analysis of constructs within the professional and school realms
    • Sriraman, B. (2005). Are giftedness & 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
  • 78
    • 70349643595 scopus 로고    scopus 로고
    • The transition to formal thinking in mathematics
    • Tall, D.O. (2008). The transition to formal thinking in mathematics. Mathematics Education Research Journal, 20(2), 5-24.
    • (2008) Mathematics Education Research Journal , vol.20 , Issue.2 , pp. 5-24
    • Tall, D.O.1
  • 79
    • 0000213855 scopus 로고
    • Concept image and concept definition in mathematics, with special reference to limits and continuity
    • Tall, D.O., & Vinner, S. (1981) Concept image and concept definition in mathematics, with special reference to limits and continuity. Educational Studies in Mathematics, 12, 151-169.
    • (1981) Educational Studies in Mathematics , vol.12 , pp. 151-169
    • Tall, D.O.1    Vinner, S.2
  • 80
    • 84889986743 scopus 로고    scopus 로고
    • A life-time’s journey from definition and deduction to ambiguity and insight
    • Prague. ISBN 80-7290-255-5
    • Tall, D.O. (2006a). A life-time's journey from definition and deduction to ambiguity and insight. In Retirement as process and concept: A Festschrift for Eddie Gray and David Tall (pp.275-288). Prague. ISBN 80-7290-255-5.
    • (2006) Retirement as Process and Concept: A Festschrift for Eddie Gray and David Tall , pp. 275-288
    • Tall, D.O.1
  • 81
    • 80053062865 scopus 로고    scopus 로고
    • Developing a theory of mathematical growth
    • Tall, D.O. (2006b). Developing a theory of mathematical growth. International Reviews on Mathematical Education (ZDM), 39, 145-154.
    • (2006) International Reviews On , vol.39 , pp. 145-154
    • Tall, D.O.1
  • 83
    • 34548081995 scopus 로고
    • Development and the learning process
    • Groningen: J.B.Wolters
    • van Hiele, P.M. (1959). Development and the learning process. In Acta pedagogical ultrajectina (pp.1-31). Groningen: J.B.Wolters.
    • (1959) Acta Pedagogical Ultrajectina , pp. 1-31
    • Van Hiele, P.M.1


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