Advancements in research on creativity and giftedness in mathematics education: introduction to the special issue
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Abstract
Creativity and giftedness in mathematics education research are topics of an increased interest in the education community during recent years. This introductory paper to the special issue on Mathematical Creativity and Giftedness in Mathematics Education has a twofold purpose: to offer a brief historical perspective on the study of creativity and giftedness, and to place an emphasis on the added value of the present volume to the research in the field. The historical overview addresses the development of research and practice in creativity and giftedness with specific attention to creativity and giftedness in mathematics. We argue that this special issue makes a significant contribution to bridging domain-general theories of creativity and giftedness with theories in mathematics education with special attention given to nurturing these phenomena in the process of mathematics teaching and learning.
Keywords
Mathematics Education Mathematical Ability Gifted Student Mathematical Creativity Gifted EducationReferences
- Assouline, S. G., Colangelo, N., Vantassel-Baska, J., & Lupkowski Shoplik, A. (Eds.). (2015). s brightest students. Iowa City: The Acceleration Institute.Google Scholar
- Binet, A. (1984). Les idees modernes sur les enfants. Paris: Flammarion. (Published in English as modern ideas about children. Menlo Park: Suzanne Heisler).Google Scholar
- Bressoud, D., Camp, D., & Teague, D. (2012). Background to the MAA/NCTM statement on calculus. Resto: NCTM.Google Scholar
- Colangelo, N. (2004). A nation deceived: how schools hold back America’s brightest students. Iowa City: The Connie Belin & Jacqueline N.Google Scholar
- Dreyfus, T., Hershkowitz, R., & Schwarz, B. (2015). The nested epistemic actions model for abstraction in context—theory as methodological tool and methodological tool as theory. In A. Bikner-Ahsbahs, C. Knipping & N. Presmeg (Eds.), Approaches to qualitative research in mathematics education: Examples of methodology and methods. Advances Mathematics Education series (pp. 185–217). Dordrecht: Springer.Google Scholar
- Gardner, H. (1983/2003). Frames of mind: The theory of multiple intelligences. New York: Basic Books.Google Scholar
- Guilford, J. P. (1950). Creativity. American Psychologist, 5(9), 444–454.CrossRefGoogle Scholar
- Hadamard, J. (1945). The psychology of invention in the mathematical field. New York: Dover Publications.Google Scholar
- Haylock, D. W. (1987). A framework for assessing mathematical creativity in school children. Educational Studies in Mathematics, 18(1), 59–74.CrossRefGoogle Scholar
- Hershkowitz, R., Schwarz, B. B., & Dreyfus, T. (2001). Abstraction in context: Epistemic actions. Journal for Research in Mathematics Education, 32, 195–222.CrossRefGoogle Scholar
- Hershkowitz, R., Tabach, M., & Dreyfus, T. (2017). Creative reasoning and shifts of knowledge in the mathematics classroom. ZDM Mathematics Education. doi: 10.1007/s11858-016-0816-6.Google Scholar
- Hoth, J., Kaiser, G., Busse, A., Döhrmann, M., König, J., & Blömeke, S. (2017). Professional competences of teachers for fostering creativity and supporting high-achieving students. ZDM Mathematics Education. doi: 10.1007/s11858-016-0817-5.Google Scholar
- House, P. (1987) (Ed.). Providing opportunities for the mathematically gifted K-12. Reston, VA: NCTM.Google Scholar
- Johnsen, S., & Sheffield, L. J. (Eds.). (2012). Using the common core state standards for mathematics with gifted and advanced learners. Washington, DC: NAGC, NCTM & NCSM.Google Scholar
- Karp A. & Leikin R. (Eds.) (2011). Mathematical gift and promise: Exploring and developing. Special issue 11(1) in Canadian Journal of Science, Mathematics and Technology Education.Google Scholar
- Krutetskii, V. A. (1968/1976). The psychology of mathematical abilities in schoolchildren (Translated from Russian by Teller, J. Edited by J. Kilpatrick and Wirszup). Chicago: The University of Chicago Press.Google Scholar
- Leikin, R. (2009a). Bridging research and theory in mathematics education with research and theory in creativity and giftedness. In R. Leikin, A. Berman & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students. (Part IV—synthesis, Ch. 23, pp. 385–411). Rotterdam: Sense Publisher.Google Scholar
- Leikin, R. (2009a). Bridging research and theory in mathematics education with research and theory in creativity and giftedness. In R. Leikin, A. Berman & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 383–409). Rotterdam: Sense Publishers.Google Scholar
- Leikin, R. (2009b). Exploring mathematical creativity using multiple solution tasks. In R. Leikin, A. Berman & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students. (Ch. 9, pp. 129–145). Rotterdam: Sense Publisher.Google Scholar
- Leikin, R. (2013). Evaluating mathematical creativity: The interplay between multiplicity and insight. Psychological Test and Assessment Modeling, 55(4), 385–400.Google Scholar
- Leikin, R. (2016). Interplay between creativity and expertise in teaching and learning of mathematics. In C. Csíkos, A. Rausch & J. Szitányi. (Eds.) Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education (vol. 1, pp. 19–34). Szeged, PME.Google Scholar
- Leikin, R., Berman, A., & Koichu, B. (Eds.). (2009). Creativity in mathematics and the education of gifted students. Rotterdam: Sense Publisher.Google Scholar
- Leikin, R., Koichu, B., Berman, A., & Dinur, S. (2017). How are questions that students ask in high level mathematics classes linked to general giftedness? ZDM Mathematics Education 49(1) (this issue), doi: 10.1007/s11858-016-0815-7.
- Leikin, R., & Pitta-Pantazi, D. (Eds.) (2013). Creativity and mathematics education. Special issue 45(2). ZDM Mathematics Education.Google Scholar
- Leikin, R. & B. Sriraman (Eds.). (2016). Creativity and Giftedness: Interdisciplinary perspectives from mathematics and beyond. Advances in Mathematics Education Series. Switzerland: Springer.Google Scholar
- 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.CrossRefGoogle Scholar
- Liljedahl, P. (2009). In the words of the creators. In R. Leikin, A. Berman, & B. Koichu (Eds.) Mathematical creativity and the education of gifted children. (pp. 51–70). Rotterdam, NL: Sense Publishers.Google Scholar
- Lubinski, D., & Benbow, C. P. (2006). Study of mathematically precocious youth after 35 years: Uncovering antecedents for the development of math-science expertise. Perspectives on Psychological Science, 1, 316–345.CrossRefGoogle Scholar
- Marland, S. P. Jr. (1972). Education of the gifted and talented: Report to the Congress of the United States by the U.S. Commissioner of Education and background papers submitted to the US Office of Education. Washington, DC: U.S. Government Printing Office.Google Scholar
- Mhlolo, M. K. (2017). Regular classroom teachers’ recognition and support of the creative potential of mildly gifted mathematics learners. ZDM Mathematics Education. doi: 10.1007/s11858-016-0824-6.Google Scholar
- Milgram, R. M. (Ed.). (1989). Teaching gifted and talented children learners in regular classrooms. Springfield: Charles C. Thomas.Google Scholar
- National Council of Supervisors of Mathematics (2011). Improving student achievement by expanding opportunities for mathematically promising students. NCSM position statement. Denver: NCSM.Google Scholar
- National Council of Teachers of Mathematics (1980). An agenda for action: recommendations for school mathematics of the 1980s. Reston: NCTM.Google Scholar
- National Council of Teachers of Mathematics (1983). A position statement on vertical acceleration. Reston: NCTM.Google Scholar
- National Council of Teachers of Mathematics (1986). A position statement on provisions for mathematically talented and gifted students. Reston: National Council of Teachers of Mathematics.Google Scholar
- National Council of Teachers of Mathematics (1995). Report of the NCTM task force on promising students. Reston: NCTM.Google Scholar
- National Council of Teachers of Mathematics (2016). Providing opportunities for students with exceptional mathematical promise: A position of the national council of teachers of mathematics. Reston: NCTM.Google Scholar
- Nolte M., Pamperien K. (2017). Challenging problems in a regular classroom setting and in a special foster programme. ZDM Mathematics Education. doi: 10.1007/s11858-016-0825-5.Google Scholar
- Paz-Baruch, N., Leikin, M., Aharon-Peretz, J., & Leikin, R. (2014). Speed of information processing in generally gifted and excelling in mathematics adolescents. High Abilities Studies, 25(2), 143–167.CrossRefGoogle Scholar
- Plucker, J. A., Beghetto, R. A., & Dow, G. T. (2004). Why isn’t creativity more important to educational psychologists? Potentials, pitfalls, and future directions in creativity research. Educational psychologist, 39(2), 83–96.CrossRefGoogle Scholar
- Renzulli, J. S. (2006). Swimming up-stream in a small river: Changing conceptions and practices about the development of giftedness. In M. A. Constas & R. J. Sternberg (Eds.), Translating theory and research into educational practice: developments in content domains, large-scale reform, and intellectual capacity (pp. 223–253). Mahway: Lawrence Erlbaum Associates, Inc.Google Scholar
- Saul, M., Assouline, S., & Sheffield, L. (2010). The peak in the middle: developing mathematically gifted students in the middle grades. Reston: National Council of Teachers of Mathematics. 1906 Association Drive, 20191–1502.Google Scholar
- Sheffield, L. J. (2017). Dangerous myths about “gifted” mathematics students. ZDM Mathematics Education. doi: 10.1007/s11858-016-0814-8.Google Scholar
- Sheffield, L. J., Bennett, J., Berriozabal, M., DeArmond, M., & Wertheimer, R. (1999). Report of the NCTM task force on the mathematically promising. In L. J. Sheffield (Ed.), Developing mathematically promising students (pp. 309–316). Reston: NCTM.Google Scholar
- Silver, E. A. (1997). Fostering creativity though instruction rich mathematical problem solving and problem posing. International Reviews on Mathematical Education, 29, 75–80.Google Scholar
- Singer, F. M. (2012). Boosting the young learners’ creativity: Representational change as a tool to promote individual talents. In The 7th MCG Proceedings. Busan: MCG, p. 3–26.Google Scholar
- Singer, F. M., Ellerton, N. F., & Cai, J. (Eds.). (2015). Mathematical problem posing: From research to effective practice. New York: Springer.Google Scholar
- Singer, F. M., Sheffield, L., Freiman, V., & Brandl, M. (2016). Research on and activities for mathematically gifted students. New York: Springer Nature.Google Scholar
- Singer, F. M., Voica, C., & Pelczer, I. (2017). Cognitive styles in posing geometry problems: Implications for assessment of mathematical creativity. ZDM Mathematics Education. doi: 10.1007/s11858-016-0820-x.Google Scholar
- Spearman, C. (1923). Further note on the “theory of two factors”. British Journal of Psychology, 13, 266–270.Google Scholar
- 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.Google Scholar
- Sriraman, B., & Dickman, B. (2017). Mathematical pathologies as pathways into creativity. ZDM Mathematics Education. doi: 10.1007/s11858-016-0822-8.Google Scholar
- Sriraman, B., & Kyeong Hwa, L. (Eds.). (2010). The elements of creativity and giftedness in mathematics. Rotterdam: Sense Publishers.Google Scholar
- Stanley, J. C., George, W. C., & Cohn, S. J. (1979). Educating the gifted: Acceleration and enrichment. Baltimore: Johns Hopkins University Press.Google Scholar
- Sternberg, R. J. (2000c). Intelligence and wisdom. In R. J. Sternberg (Ed.), Handbook of intelligence (pp. 629–647). New York: Cambridge University Press.Google Scholar
- Tabach, M., & Friedlander, A. (2017). Algebraic procedures and creative thinking. ZDM Mathematics Education. doi: 10.1007/s11858-016-0803-y.Google Scholar
- Thorndike, R. L., Hagen, E. P., & Sattler, J. M. (1986). Technical manual for the Stanford-Binet Intelligence Scale. (4th edition). Chicago: Riverside.Google Scholar
- Thurstone, L. L., & Thurstone, T. C. (1941). Factorial studies of intelligence. Chicago: University of Chicago Press.Google Scholar
- Torrance, E. P. (1974). Torrance tests of creative thinking. Bensenville: Scholastic Testing Service.Google Scholar
- Vygotsky, L. S. (1930/1984). Imagination and creativity in adolescent. In D. B. Elkonin (Ed.) Vol. 4: Child psychology. The collected works of L. S. Vygotsky (pp. 199–219). Moscow: Pedagogika. (In Russian).Google Scholar
- Wallas, G. (1926). The art of thought. New York: Harcourt, Brace.Google Scholar
- Wechsler, D. (1991). Manual for the Wechsler intelligence scales for children (3rd ed.), (WISC III). San Antonio: Psychological Corporation.Google Scholar
- Zazkis, R. (2017). Lesson play tasks as a creative venture for teachers and teacher educators. ZDM Mathematics Education. doi: 10.1007/s11858-016-0808-6.Google Scholar