Working like real mathematicians: Developing prospective teachers' awareness of mathematical creativity through generating new concepts

Educational Studies in Mathematics

Volumn 73, Issue 2, 2010, Pages 159-179

  Shriki, Atara ^a  

^a School for Gifted and Excellent Students   (Israel)

Author keywords

Creativity in mathematics; Prospective mathematics teachers

Indexed keywords

EID: 77951878780     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-009-9212-2     Document Type: Article

References (45)

1. Ashby, F. G., Isen, A. M., & Turken, U. (1999). A neuropsychological theory of positive affect and its influence on cognition. Psychological Review, 106(3), 529-550.
2. Beghetto, R. A., & Kaufman, J. C. (2009). Do we all have multicreative potential? ZDM Mathematics Education, 41, 39-44.
3. Beswick, K. (2005). Preservice teachers' understanding of relational and instrumental understanding. In H. L. Chick, & J. L. Vincent (Eds.), Proceedings of the 29th international conference on the Psychology of Mathematics Education (PME), Vol. 2 (pp. 161-168). Melbourne, Australia.
4. Brown, S. I., & Walter, M. I. (1990). The art of problem posing (2nd ed.). Hillsdale: Lawrence Erlbaum.
5. Chamberlin, S. A., & Moon, S. M. (2005). Model-eliciting activities as tool to develop and identify creativity gifted mathematicians. Journal of Secondary Gifted Education, 17(1), 37-47.
6. Church, E. B., & Ravid, F. (2003). Setting the state for learning. Scholastic Parent & Child, 11, 38-42.
7. Csikszentmihalyi, M. (1999). Applications of a system perspective for the study of creativity. In R. Sternberg (Ed.), Handbook of creativity (pp. 313-335). Cambridge: Cambridge University Press.
8. Csikszentmihalyi, M., Rathunde, K., & Whalen, S. (1993). Talented teenagers: The roots of success and failure. Cambridge: Cambridge University Press.
9. Cunningham, R. (2004). Problem posing: An opportunity for increasing student responsibility. Mathematics and Computer Education, 38(1), 83-89.
10. Ervynck, G. (1991). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking (pp. 42-53). Dodrecht: Kluwer Academic.
11. Fredrickson, B. L., & Branigan, C. (2001). Positive emotions. In T. J. Mayne & G. A. Bonanno (Eds.), Emotions-Current issues and future directions (pp. 123-151). New York: Guilford Press.
12. Goldin, G. A. (2008). The affective dimension of mathematical inventiveness. In R. Leikin (Ed.) Proceedings of the 5th international conference on creativity in mathematics and the education of gifted students (pp. 1-14).
13. Hadamard, J. (1945). The psychology of invention in the mathematical field. New York: Dover.
14. Haylock, D. W. (1987). A framework for assessing mathematical creativity in schoolchildren. Educational Studies in Mathematics, 18(1), 59-74.
15. Hensley, R. B. (2004). Curiosity and creativity as attributes of information literacy. Reference & User Services Quarterly, 44(1), 31-36.
16. 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(3), 191-201.
17. John-Steiner, V. (2000). Creative collaboration. Oxford: Oxford University Press.
18. Lavy, I. & Shriki, A. (2006). Computerized project-based-learning approach as means for supporting professional development of mathematics pre-service teachers. In Q. Douglas (Ed.) Proceedings of the 3rd International Conference on the Teaching of Mathematics at the undergraduate level (ICTM), (CD format) 6 pages. Istanbul, Turkey.
19. Lavy, I. & Shriki, A. (2007). Problem posing as a means for developing mathematical knowledge of prospective teachers. In W. Jeong-Ho, P. Kyo-Sik, L. Hee-Chan & S. Dong-Yeop (Eds.), Proceedings of the 31th international conference on the Psychology of Mathematics Education (PME) (pp. 129-136). Seoul, South Korea, III.
20. Lavy, I., & Shriki, A. (2008). Investigating changes in prospective teachers' views of a 'good teacher' while engaging in computerized project-based learning. Journal of Mathematics Teacher Education, 11(4), 259-284.
21. Lortie, D. C. (1975). Schoolteacher. Chicago: The University of Chicago Press.
22. Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236-260.
23. Milgram, R. M., & Livne, N. L. (2005). Creativity as a general and a domain-specific ability: The domain of mathematics as an exemplar. In J. C. Kaufman & J. Baer (Eds.), Creativity across domains: Faces of the muse (pp. 187-204). Mahwah: Lawrence Erlbaum.
24. Movshovitz-Hadar, N. (2008). Intellectual courage and mathematical creativity. In R. Leikin (Ed.), Proceedings of the 5th international conference on creativity in mathematics and the education of gifted students (pp. 173-185).
25. NCTM - National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston: NCTM.
26. Neumann, C. J. (2007). Fostering creativity-A model for developing a culture of collective creativity in science. EMBO Reports, 8(3), 202-206.
27. Pehkonen, E. (1997). The state-of-art in mathematics creativity. International Review on Mathematical Education, 29, 63-66.
28. Perry, B. D. (2001). Curiosity: The fuel of development. Early Childhood Today, 15, 22-24.
29. Pink, D. H. (2005). A whole new mind-Moving from the information age to the conceptual age. New York: Penguin.
30. Plucker, J., & Beghetto, R. A. (2004). Why creativity is domain general, why it looks domain specific, and why the distinction does not matter. In R. J. Sternberg, E. L. Grigorenko & J. L. Singer (Eds.), Creativity: From potential to realization (pp. 153-168). Washington, DC: American Psychological Association.
31. Polya, G. (1954). Mathematics and plausible reasoning. Princeton: Princeton University Press.
32. Reid, A., & Petocz, P. (2004). Learning domains and the process of creativity. Australian Educational Researcher, 31(2), 45-62.
33. Shriki, A. (2005). What do teachers know about creativity? Unpublished paper, Kesher-Ham - Israel National Center of Mathematics, Technion (In Hebrew).
34. Shriki, A. (2008). Towards promoting creativity in mathematics of pre-service teachers: The case of creating a definition. In R. Leikin (Ed.) Proceedings of the 5th international conference on creativity in mathematics and the education of gifted students (pp. 201-210).
35. Silver, E. A. (1997). Fostering creativity through instruction in mathematical problem solving and problem posing. International Review on Mathematical Education, 29, 75-80.
36. Simon, M. (1994). Learning mathematics and learning to teach: Learning cycles in mathematics teacher education. Educational Studies in Mathematics, 26, 71-94.
37. Starko, A. J. (2001). Creativity in the classroom: Schools of curious delight. Mahwah: Lawrence Erlbaum.
38. Sriraman, B. (2005). Are giftedness and creativity synonyms in mathematics? The Journal of Secondary Gifted Education, XVII(1), 20-36.
39. Sriraman, B. (2009). The characteristics of mathematical creativity. ZDM Mathematics Education, 41, 13-27.
40. Sternberg, R. J., & Lubart, T. I. (1996). Investing in creativity. American Psychologist, 51, 677-688.
41. Sternberg, R. J., & Lubart, T. I. (2000). The concept of creativity: Prospects and paradigms. In R. J. Sternberg (Ed.), Handbook of creativity (pp. 93-115). New York: Cambridge University Press.
42. Taylor, S. J., & Bogdan, R. (1998). Introduction to qualitative research methods. New York: Wiley.
43. Torrance, E. P. (1974). Torrance tests of creative thinking: Norms-technical manual. Lexington: Ginn.
44. Weisberg, R. W. (1993). Creativity: Beyond the myth of genius. New York: Freeman.
45. Wilson, M., & Cooney, T. J. (2002). Mathematics teacher change and development. In G. C. Leder, E. Pehkonene & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 127-147). Dordrecht: Kluwer Academic.