Abstract
The aim of this chapter is to offer an overview of a series of studies conducted at the University of Cyprus, regarding the definition and identification of mathematically gifted students, the relation between mathematical creativity, practical and analytical abilities, as well as the relation between giftedness, creativity and other cognitive factors such as, intelligence and cognitive styles. During our research in the field of giftedness and creativity we developed material for nurturing primary school mathematically gifted students and also explored the possibilities that technology may offer in the development of mathematical creativity. Although our research is still evolving, this chapter offers a glimpse of some of our most important findings.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Al-Shabatat, A. (2013). A review of the contemporary concepts of giftedness and talent. The International Interdisciplinary Journal of Education, 2(12). Retrieved from search.shamaa.org
Anderson, K. L., Casey, M. B., Thompson, W. L., Burrage, M. S., Pezaris, E., & Kosslyn, S. M. (2008). Performance on middle school geometry problems with geometry clues matched to three different cognitive styles. Mind, Brain, and Education, 2(4), 188–197.
Bahar, A. K., & Maker, C. J. (2011). Exploring the relationship between mathematical creativity and mathematical achievement. Asia-Pacific Journal of Gifted and Talented Education, 3(1), 33–48.
Baran, G., Erdogan, S., & Cakmak, A. (2011). A study on the relationship between six-year-old children’s creativity and mathematical ability. International Education Studies, 4(1), 105–111.
Betz, J. A. (1996). Computer games: Increase learning in an interactive multidisciplinary environment. Journal of Technology Systems, 24(2), 195–205.
Birch, J. W. (1984). Is any identification procedure necessary? Gifted Child Quarterly, 28(4), 157–161.
Blazhenkova, O., & Kozhevnikov, M. (2009). The new object-spatial-verbal cognitive style model: Theory and measurement. Applied Cognitive Psychology, 23(5), 638–663.
Chamberlin, S. A., & Mann E. L. (2014). A new model of creativity in mathematical problem solving. In G. Howell, L. Sheffield, & R. Leikin (Eds.), Proceedings of the 8th conference of MCG International Group for Mathematical Creativity and Giftedness (pp. 35–40). University of Denver: International Group for Mathematical Creativity and Giftedness.
Cleanthous, E., Pitta-Pantazi, D., Christou, C., Kontoyianni, K., & Kattou, M. (2010). What are the differences between high IQ/low creativity students and low IQ/high creativity students in mathematics? In M. Avotina, D. Bonka, H. Meissner, L. Sheffield, & E. Velikova (Eds.), Proceedings of the 6th International Conference on Creativity in Mathematics Education and the Education of Gifted Students (pp. 52–55). Riga: International Group for Mathematical Creativity and Giftedness (MCG).
Clements, D. H. (1995). Teaching creativity with computers. Educational Psychology Review, 7(2), 141–161. doi:10.1007/BF02212491.
Coleman, M. R. (2003). The identification of students who are gifted. (ERIC Digest #E644) The ERIC clearinghouse on disabilities and gifted education. Retrieved, from http://ericec.org/digests/e644.html
Csikszentmihalyi, M., & Wolfe, R. (2000). New conceptions and research approach to creativity. Implications of a systems perspective for creativity in education. In K. A. Heller, F. J. Monk, R. J. Sternberg, & R. F. Subotnik (Eds.), International handbook of giftedness and talent (pp. 81–94). New York: Elsevier.
Davis, G. A., & Rimm, S. B. (2004). Education of the gifted and talented (5th ed.). Boston: Allyn & Bacon.
Demetriou, A., Christou, C., Spanoudis, G., & Platsidou, M. (2002). The development of mental processing: Efficiency, working memory and thinking. Monographs of the Society for Research in Child Development, 67(1, Serial No. 268). Retrieved from http://www.wiley.com/bw/journal.asp?ref = 0037-976x
Dodge, B. (1991). Computers and creativity: Tools, tasks, and possibilities. Communicator: The Journal of the California Association for the Gifted, 21(1), 5–8.
Dunham, P., & Dick, T. (1994). Research on graphing calculators. Mathematics Teacher, 87, 440–445. Retrieved from http://www.nctm.org/eresources/journal_home.asp?journal_id = 2
Ervynck, G. (1991). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking (pp. 42–53). Dordrecht: Kluwer.
Gagné, F. (1991). Toward a differentiated model of giftedness and talent. In N. Colangelo & G. A. Davis (Eds.), Handbook of gifted education (pp. 65–80). Boston: Allyn and Bacon.
Gagné, F. (2003). Transforming gifts into talents: The DMGT as a developmental theory. In N. Colangelo & G. A. Davis (Eds.), Handbook of gifted education (3rd ed.). Boston: Allyn and Bacon.
Gagné, F. (2005). From gifts to talents: The DMGT as a developmental model. In R. J. Sternberg & J. E. Davidson (Eds.), Conceptions of giftedness (2nd ed., pp. 98–119). New York, NY: Cambridge University Press.
Gardner, H. (1991). Multiple intelligences. New York: Free Press.
Gardner, H. (1993). Creating minds: An anatomy of creativity seen through the lives of Freud, Einstein, Picasso, Stravinsky, Eliot, Graham, and Gandhi. New York: Basic Books.
Getzels, J. W., & Jackson, P. J. (1962). Creativity and intelligence: Explorations with gifted students. New York: John Wiley and Sons, Inc.
Gil, E., Ben-Zvi, D., & Apel, N. (2007). What is hidden beyond the data? Helping young students to reason and argue about some wider universe. In D. Pratt & J. Ainley (Eds.), Proceedings of the fifth international research forum on statistical reasoning, thinking and literacy: Reasoning about statistical inference: Innovative ways of connecting chance and data (pp. 1–26). UK: University of Warwick. Retrieved from http://srtl.stat.auckland.ac.nz/srtl5/presentations
Guilford, J. P. (1959). Traits of creativity. In H. H. Anderson (Ed.), Creativity and its cultivation (pp. 142–161). (Reprinted in P. E. Vernon, Ed., 1970, Creativity, pp. 167–188, Penguin Books).
Haylock, D. (1987). A framework for assessing mathematical creativity in school children. Educational Studies in Mathematics, 18(1), 59–74.
Haylock, D. (1997). Recognizing mathematical creativity in schoolchildren. ZDM – The International Journal on Mathematics Education, 29(3), 68–74.
Hoeflinger, M. (1998). Developing mathematically promising students. Roeper Review, 20(4), 244–247.
Hollingworth, L. S. (1942). Children above 180 IQ Stanford-Binet: Origin and development. Yonkers-on-Hudson: World Book.
Iowa Department of Education. (1989). A guide to developing higher order thinking across the curriculum. Des Moines: Department of Education. Retrieved from ERIC database (ED 306 550).
Kattou, M., Kontoyianni, K., Pitta-Pantazi, D., Christou, C. (2011). Does mathematical creativity differentiate mathematical ability? In M. Pytlak, T. Rowland, & E. Swoboda (Eds.), Proceedings of the seventh conference of the European Research in Mathematics Education (Working group 7: Mathematical potential, creativity and talent) (pp. 1056–1065). Rzeszów: CERME.
Kattou, M., Kontoyianni, K., Pitta-Pantazi, D., & Christou, C. (2013). Connecting mathematical creativity to mathematical ability. ZDM – The International Journal on Mathematics Education, 45(2), 167–181. doi:10.1007/s11858-012-0467-1.
Kirton, M. J. (Ed.). (1989). Adaptors and innovators: Styles of creativity and problem solving. London: Routledge.
Klavir, R., & Gorodetsky, M. (2009). On excellence and creativity: A study of gifted and expert students. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 221–242). Rotterdam: Sense Publishers.
Kontoyianni, K., Kattou, M., Pitta-Pantazi, D., & Christou, C. (2011). Entering the world of mathematically gifted. Paper presented at the 19th biennial world conference of the WCGTC. Prague, Czech Republic.
Kontoyianni, K., Kattou, M., Pitta-Pantazi, D., & Christou, C. (2013). Integrating mathematical abilities and creativity in the assessment of mathematical giftedness. Psychological Assessment and Test Modeling, 55(3), 289–315.
Kozhevnikov, M. (2007). Cognitive styles in the context of modern psychology: Toward an integrated framework of cognitive style. Psychological Bulletin, 133(3), 464–481.
Kozhevnikov, M., Kosslyn, S., & Shephard, J. (2005). Spatial versus object visualizers: A new characterization of visual cognitive style. Memory and Cognition, 33(4), 710–726.
Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago: University of Chicago Press.
Kunzdorf, R. (1982). Mental images, appreciation of grammatical patterns, and creativity. Journal of Mental Imagery, 6, 183–202.
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). http://ermeweb.free.fr/Cerme5.pdf
Leikin, R. (2008). Teaching mathematics with and for creativity: An intercultural perspective. In P. Ernest, B. Greer, & B. Sriraman (Eds.), Critical issues in mathematics education (pp. 39–43). Charlotte: Information Age Publishing Inc. & The Montana Council of Teachers of Mathematics.
Leikin, R., & Pitta-Pantazi, D. (2013). Creativity and mathematics education: Overview on the state-of-art. ZDM – The International Journal on Mathematics Education, 45(2), 159–166. doi:10.1007/s11858-012-0459-1.
Lev-Zamir, H., & Leikin, R. (2011). Creative mathematics teaching in the eye of the beholder: Focusing on teachers’ conceptions. Research in Mathematics Education, 13, 17–32.
Lohman, D. F. (2009). Identifying academically talented students: Some general principles, two specific procedures. In L. V. Shavinina (Ed.), International handbook on giftedness (pp. 971–998). Amsterdam: Springer Science and Business Media.
Loveless, A. (2003). Creating spaces in the primary curriculum: ICT in creative subjects. The Curriculum Journal, 14(1), 5–21.
Mann, E. (2005). Mathematical creativity and school mathematics: Indicators of mathematical creativity in middle school students (Doctoral dissertation). Retrieved from www.gifted.uconn.edu/siegle/Dissertations/Eric%20Mann.pdf
Mann, E. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236–260. doi:10.4219/jeg-2006-264.
Martinsen, Ø., & Kaufmann, G. (1999). Cognitive style and creativity. In M. A. Runco & S. R. Pritzker (Eds.), Encyclopedia of creativity (Vol. 1, pp. 273–282). San Diego: Academic.
Mevarech, Z. R., & Kramarski, B. (1992). How and how much can cooperative logo environments enhance creativity and social relationships? Learning and Instruction, 2(3), 259–274. doi:10.1016/0959-4752(92)90012-B.
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.
Nakakoji, K., Yamamoto, Y., & Ohira, M. (1999). A framework that supports collective creativity in design using visual images. In E. Edmonds & L. Candy (Eds.), Proceedings of the 3rd Conference on Creativity and Cognition (pp. 166–173). New York: ACM Press.
National Advisory Committee on Creative and Cultural Education (NACCCE). (1999). All our futures: Creativity, culture and education. London: DfES.
Pardamean, B., & Evelin, (2014). Enhancement of creativity through logo programming. American Journal of Applied Sciences, 11(4), 528–533.
Pehkonen, E. (1997). The state-of-art in mathematical creativity. ZDM – The International Journal on Mathematics Education, 29(3), 63–67. doi:10.1007/s11858-997-0001-z.
Pelczer, I., & RodrÃguez, F. G. (2011). Creativity assessment in school settings through problem posing tasks. The Montana Mathematics Enthusiast, 8(1&2), 383–398. Retrieved from http://www.math.umt.edu/tmme/
Piirto, J. (1998). Themes in the lives of successful contemporary U.S. women creative writers. Roeper Review, 21, 60–70.
Pitta-Pantazi, D., & Christou, C. (2010). Spatial versus object visualisation: The case of mathematical understanding in three-dimensional arrays of cubes and nets. International Journal of Educational Research, 49(2–3), 102–114. doi:10.1016/j.ijer.2010.10.001.
Pitta-Pantazi, D., Christou, C., & Sophocleous, P. (2010). Analytical, practical and creative abilities: The case of nets and three-dimensional arrays of cubes. Mediterranean Journal for Research in Mathematics Education, 9(2), 57–73.
Pitta-Pantazi, D., Christou, C., Kontoyianni, K., & Kattou, M. (2011). A model of mathematical giftedness: Integrating natural, creative and mathematical abilities. Canadian Journal of Science, Mathematics, and Technology Education, 11(1), 39–54. doi:10.1080/14926156.2011.548900.
Pitta-Pantazi, D., Christou, C., Kattou, M., & Kontoyianni, K. (2012). Identifying mathematically gifted students. In R. Leikin, B. Koichu, & A. Berman (Eds.), Proceedings of the international workshop of Israel Science Foundation: Exploring and advancing mathematical abilities in secondary school achievers (pp. 83–90). Haifa: University of Haifa.
Pitta-Pantazi, D., Sophocleous, P., & Christou, C. (2013). Spatial visualizers, object visualizers and verbalizers: Their mathematical creative abilities. ZDM – The International Journal on Mathematics Education, 45(2), 199–213. doi:10.1007/s11858-012-0475-1.
Preckel, F., Holling, H., & Wiese, M. (2006). Relationship of intelligence and creativity in gifted and non-gifted students: An investigation of threshold theory. Personality and Individual Differences, 40(1), 159–170.
Renzulli, J. S. (1978). What makes giftedness? Reexamining a definition. Phi Delta Kappan, 60(3), 180–184. Retrieved from http://www.pdkintl.org/kappan/index.htm
Riding, R. J. (1997). On the nature of cognitive style. Educational Psychology, 17, 29–50.
Ripple, R. E., & May, F. B. (1962). Caution in comparing creativity and IQ. Psychological Reports, 10, 229–230.
Sak, U., & Maker, C. J. (2006). Developmental variations in children’s creative mathematical thinking as a function of schooling, age, and knowledge. Creativity Research Journal, 18(3), 279–291.
Salvia, J., & Ysseldyke, J. E. (2001). Assessment (8th ed.). Boston: Houghton-Mifflin.
Shavinina, L. V. (2009). A new approach to the identification of intellectually gifted individuals. In L. V. Shavinina (Ed.), International handbook on giftedness (pp. 1017–1031). Amsterdam: Springer Science and Business Media.
Sheffield, L. (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. Rotterdam: Sence Publishers.
Shriki, A. (2010). Working like real mathematicians: Developing prospective teachers’ awareness of mathematical creativity through generating new concepts. Educational Studies in Mathematics, 73(2), 159–179.
Silver, E. A. (1997). Fostering creativity though instruction rich mathematical problem solving and problem posing. International Reviews on Mathematical Education, 29(3), 75–80. doi:10.1007/s11858-997-0003-x.
Silverman, L. K. (1991). Leta Hollingworth’s educational principles for the gifted. Satorian (Nebraska Association for Gifted Children Journal), 6(4), 11–17.
Sinclair, N., de Freitas, E., & Ferrara, F. (2013). Virtual encounters: The murky and furtive world of mathematical inventiveness. ZDM – The International Journal on Mathematics Education, 45(2), 239–252. doi:10.1007/s11858-012-0465-3.
Sophocleous, P., & Pitta-Pantazi, D. (2011). Creativity in three-dimensional geometry: How an interactive 3D-geometry software environment enhance it? In M. Pytlak, T. Rowland, & E. Swoboda (Eds.), Proceedings of seventh conference of the European Research in Mathematics Education (pp. 1143–1153). Rzeshów, Poland: University of Rzeszów.
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.
Sriraman, B. (2008). Are mathematical giftedness and mathematical creativity synonyms? A theoretical analysis of constructs. In B. Sriraman (Ed.), Creativity, giftedness, and talent development in mathematics (pp. 85–112). Charlotte: Information Age Publishing, INC.
Sriraman, B. (2009). The characteristics of mathematical creativity. ZDM – The International Journal on Mathematics Education, 41, 13–27.
Srivastava, S., & Thomas, A. (1991). Creativity of pre-school childreneffect of sex, age, birth order and intelligence. Journal of Psychological Researches, 36(2), 92–98.
Stanley, J. C. (1990). Leta Hollingworth’s contributions to above-level testing of the gifted. Roeper Review, 12(3), 166–171.
Sternberg, R. J. (1985). Beyond IQ: A triarchic theory of human intelligence. New York: Cambridge University Press.
Sternberg, R. J. (1997). Successful intelligence. New York: Plume.
Sternberg, R. J. (1999). Handbook of creativity. New York: Cambridge University Press.
Sternberg, R. J. (2003). A broad view of intelligence: The theory of successful intelligence. Consulting Psychology Journal: Practice and Research, 55(3), 139–154.
Sternberg, R. J. (2005). The theory of successful intelligence. Revista Interamericana de Psicologia/Interamerican Journal of Psychology, 39(2), 189–202.
Sternberg, R. (2012). The assessment of creativity: An investment-based approach. Creativity Research Journal, 24(1), 3–12. doi:10.1080/10400419.2012.652925
Sternberg, R. J., & Davidson, J. E. (Eds.). (1986). Conceptions of giftedness. New York: Cambridge University Press.
Sternberg, R. J., & Lubart, T. I. (1995). Defying the crowd: Cultivating creativity in a culture of conformity. New York: Free Press.
Sternberg, R. J., & O’Hara, L. A. (1999). Creativity and intelligence. In R. J. Sternberg (Ed.), Handbook of creativity (pp. 251–272). Cambridge, MA: Cambridge University Press.
Sternberg, R. J., & Grigorenko, E. L. (2004). Successful intelligence in the classroom. Theory Into Practice, 43(4), 274–280.
Sternberg, R. J., & Davidson, J. (Eds.). (2005). Conceptions of giftedness (2nd ed.). New York: Cambridge University Press.
Sternberg, R. J., Ferrari, M., Clinkenbeard, P., & Grigorenko, E. L. (1996). Identification, instruction, and assessment of gifted children: A construct validation of a triarchic model. Gifted Child Quarterly, 40, 129–137.
Sternberg, R. J., Grigorenko, E. L., Ferrari, M., & Clinkenbeard, P. (1999). A triarchic analysis of an aptitude-treatment interaction. European Journal of Psychological Assessment, 15, 1–11.
Sternberg, R. J., Castejon, J. L., Prieto, M. D., Hautamaki, J., & Grigorenko, E. L. (2001). Confirmatory factor analysis of the Sternberg Triarchic Ability Test (multiple-choice items) in three international samples: An empirical test of the triarchic theory of intelligence. European Journal of Psychological Assessment, 17, 1–16.
Sternberg, R. J., Lipka, J., Newman, T., Wildfeuer, S., & Grigorenko, L. (2006). Triarchically-based instruction and assessment of sixth-grade mathematics in a Yup’ik cultural setting in Alaska. Gifted and Talented International, 21(2), 9–19.
Subhi, T. (1999). The impact of logo on gifted children’s achievement and creativity. Journal of Computer Assisted Learning, 15(2), 98–108. doi:10.1046/j.1365-2729.1999.152082.x.
Tannenbaum, A. J. (2003). Nature and nurture of giftedness. In N. Colangelo & G. A. Davis (Eds.), Handbook of gifted education (3rd ed., pp. 45–59). Boston: Allyn and Bacon.
Terman, L. M. (1916). The measurement of intelligence. Boston: Houghton Mifflin.
Terman, L. (1924). The physical and mental traits of gifted children. In G. M. Whipple (Ed.), Report of the society’s committee on the education of gifted children (pp. 157–167). The twenty third yearbook of the National Society for the Study of Education. Bloomington: Public School Publishing.
Torrance, E. P. (1974). The Torrance tests of creative thinking-norms-technical manual research edition-verbal tests, forms A and B- figural tests, forms A and B. Princeton: Personnel Press.
Torrance, E. P. (1994). Creativity: Just wanting to know. Pretoria: Benedic Books.
Torrance, E. P. (1995). The ‘beyonders’ in why fly? A philosophy of creativity. Norwood: Ablex.
Usiskin, Z. (2000). The development into the mathematically talented. Journal of Secondary Gifted Education, 11, 152–162.
Van Tassel-Baska, J. (2000). Theory and research on curriculum development for the gifted. In K. A. Heller, F. J. Monk, R. J. Sternberg, & R. F. Subotnik (Eds.), International handbook of giftedness and talent (2nd ed., pp. 345–366). Amsterdam: Elsevier.
Winner, E. (1997). Exceptionally high intelligence and schooling. American Psychologist, 52(10), 1070–1081.
Woodman, R. W., & Schoenfeldt, L. F. (1990). An interactionist model of creative behavior. Journal of Creative Behavior, 24(4), 279–290.
Yang, Y. C., & Chin, W. K. (1996). Motivational analysis on the effects of type of instructional control on learning from computer-based instruction. Journal of Educational Technology Systems, 25(1), 25–35.
Yushau, B., Mji, A., & Wessels, D. C. J. (2005). The role of technology in fostering creativity in the teaching and learning of mathematics. Pythagoras, 62, 12–22.
Ziegler, A. (2009). Research on giftedness in the 21st century. In L. V. Shavinina (Ed.), International handbook on giftedness (pp. 1509–1524). Amsterdam: Springer Science and Business Media.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Pitta-Pantazi, D. (2017). What Have We Learned About Giftedness and Creativity? An Overview of a Five Years Journey. In: Leikin, R., Sriraman, B. (eds) Creativity and Giftedness. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-38840-3_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-38840-3_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-38838-0
Online ISBN: 978-3-319-38840-3
eBook Packages: EducationEducation (R0)