참고문헌
- Aiken, L. R. (1973). Ability and creativity in mathematics. Review of Educational Research, 43(4), 405-432. https://doi.org/10.3102/00346543043004405
- Aljughaiman, A. & Mowrer-Reynolds, E. (2005). Teachers' conceptions of creativity and creative students. Journal of Creative Behavior, 39(1), 17-34. https://doi.org/10.1002/j.2162-6057.2005.tb01247.x
- Andrews, P., & Hatch, G. (1999). A new look at secondary teachers' conceptions of mathematics and its teaching. British Educational Research Journal, 25(2), 203-223. https://doi.org/10.1080/0141192990250205
- Andrews, P. & Hatch, G. (2000). A comparison of Hungarian and English teachers' conceptions of mathematics and its teaching. Educational Studies in Mathematics, 43, 31-64. https://doi.org/10.1023/A:1017575231667
- Ball, D. L. (1990). The mathematical understandings that prospective teachers bring to teacher education. Elementary School Journal, 90, 449-466. https://doi.org/10.1086/461626
- Ball, D. B., & Cohen, D. K. (1999). Developing practice, developing practitioners: Toward a practice-based theory of professional education. In L. Darling-Hammond & G. Sykes (Eds.), Teaching as the learning profession: Handbook of policy and practice (pp.3-32). San Francisco, CA: Jossey-Bass.
- Beghetto, R. A. (2007). Ideational code-switching: Walking the talk about supporting student creativity in the classroom. Roeper Review, 29, 265-270. https://doi.org/10.1080/02783190709554421
- Beswick, K. (2004). The impact of teachers' perceptions of student characteristics on the enactment of their beliefs. In M. J. Hoines & A. B. Fuglestad (Eds.), Proceedings of the 28th Annual Conference of the International Group for the Psychology of Mathematics Education (Vol.2, pp. 111-118). Bergen: Bergen University College.
- Bohm, D. (1998). On creativity. London: Routledge.
- Bolden, D. S., Harries, T. V., & Newton, D. P. (2010). Pre-service primary teachers' conceptions of creativity. Educational Studies in Mathematics, 73, 143-157. https://doi.org/10.1007/s10649-009-9207-z
- Brunkalla, K. (2009). How to increase mathematical creativity: An Experiment. The Montana Mathematics Enthusiast, 6(1&2), 257-266.
- Burnard, P. & Lavicza, Z. (2010). Teachers' conceptions and practices of assessing creativity. Paper presented at the BERA 2010 Conference. Warwick, UK.
- Chaitin, G. J. (2000). A century of controversy over the foundations of mathematics. Complexity, 5(5), 12-21. https://doi.org/10.1002/1099-0526(200005/06)5:5<12::AID-CPLX3>3.0.CO;2-6
- Carter, P. (2009). Test and Assess your brain quotient: Discover your true intelligence with tests of aptitude, logic, memory, EQ, creative and lateral thinking. Philadelphia, PA: Kogan Page.
- Craft, A. (2003). The limitation to creativity in education: Dilemmas for the educator. British Journal of Educational Studies, 51(2), 113-127. https://doi.org/10.1111/1467-8527.t01-1-00229
- Crawford, K., Gordon, S., Nicholas, J., & Prosser, M. (1994). Conceptions of mathematics and how it is learned: The perspectives of students entering university. Learning and Instruction, 4, 331-345. https://doi.org/10.1016/0959-4752(94)90005-1
- Cropley, A. J. (2001). Creativity in education and learning: A guide for teachers. London: Kogan Page.
- Csikszentmihalyi, M (1996). Creativity: Flow and the psychology of discovery and invention. New York: Harper Collins.
- Diakidoy, I. & Kanari, E. (1999). Student teachers' beliefs about creativity. British Educational Research Journal, 25(2), 225-243. https://doi.org/10.1080/0141192990250206
- Erickson, F. (1986). Qualitative methods in research on teaching. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp.119-161). New York: Macmillan.
- Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching, 15, 13-33. https://doi.org/10.1080/0260747890150102
- Ernest, P. (1991). The philosophy of mathematics education: Studies in mathematics education. London: Falmer.
- Ernest, P. (2004). What is the philosophy of mathematics education? Philosophy of Mathematics Education Journal, 18. Retrieved on December 10, 2011 at http://people.exeter.ac.uk/PErnest/ pome18/ PhoM_%20for_ICME_04.htm.
- Fleith, D. (2000). Teacher and student perceptions of creativity in the classroom environment. Roeper Review, 22(3), 148-153. https://doi.org/10.1080/02783190009554022
- Frank, M. L. (1990). What myths about mathematics are held and conveyed by teacher? Arithmetic Teacher, 38(5), 10-12.
- Fryer, M. & Collings, J. A. (1991). Teachers' views about creativity. British Journal of Educational Psychology, 61, 207-219. https://doi.org/10.1111/j.2044-8279.1991.tb00976.x
- Gonzales, P. (2009). Highlights from TIMSS 2007. National Center for Education Statistics. USA.
- Hadamard, J. (1945). Essay on the psychology of invention in the mathematical field. Princeton, NJ: Princeton University Press.
- Hatcher, W. S. (2008). The foundations of mathematics: An overview at the close of the second millennium. Retrieved on September 5, 2011 at http://william.hatcher.org/license.
- Haylock, D. W. (1987). A framework for assessing mathematical creativity in school children. Educational Studies in Mathematics, 18, 59-74. https://doi.org/10.1007/BF00367914
- Hodges, G. C. (2005). Creativity in education. English in Education, 39, 47-61. https://doi.org/10.1111/j.1754-8845.2005.tb00624.x
- Hofer, B. K., & Pintrich, P. R. (1997). The development of epistemological theories: Beliefs about knowledge and knowing and their relation to learning. Review of Educational Research, 67, 88-140. https://doi.org/10.3102/00346543067001088
- Hong, M. & Kang, N.-H. (2010). South Korean and US secondary science teachers' conceptions of creativity and teaching for creativity. International Journal of Science and Mathematics Education, 8(5), 821-843. https://doi.org/10.1007/s10763-009-9188-5
- Hoz, R. & Weizman, G. (2008). A revised theorization of the relationship between teachers' conceptions of mathematics and its teaching. International Journal of Mathematical Education in Science and Technology, 39(7), 905-924. https://doi.org/10.1080/00207390802136602
- Hudson, L. (1967). Contrary imaginations. London: Methuen.
- Kamii, C. (1979). Piaget's theory, behaviorism, and other theories in education. Journal of Education, 161, 13-33.
- Kampylis, P., Berki, E., & Saariluomaa, P. (2009). In-service and prospective teachers' conceptions of creativity. Thinking Skills and Creativity, 4, 15-29. https://doi.org/10.1016/j.tsc.2008.10.001
- Kaufman, J. C. & Sternberg, R. J. (2007). Creativity. Change, 39(4), 55-60. https://doi.org/10.3200/CHNG.39.4.55-C4
- Kennedy, M. (2005). Inside teaching: How classroom life undermines reform. Cambridge: Harvard University Press.
- Kitchen, R. S., Roy, F. R., Lee, O., & Secada, W. G. (2009). Comparing teachers' conceptions of mathematics education and student diversity at highly effective and typical elementary schools. Journal for Urban Mathematics Education, 2(1), 52-80.
- Kruteskii, V. A. (1969). Mathematical aptitude. In J. Kilpatrick & I. Wirzup (Eds.), Soviet studies in the psychology of learning and teaching mathematics II (pp.113-128). Chicago: University of Chicago Press.
- Kruteskii, V. A. (1976). The psychology of mathematical abilities in school children. (J. Kilpatrick & I. Wirszup, Eds.; J. Teller, Trans.). Chicago: University of Chicago Press. (Original work published in 1968).
- Kwon, O. H., Park, J. S., & Park, J. S. (2006). Cultivating divergent thinking in mathematics through an open-ended approach. Asia-Pacific Education Review, 7(1), 51-61. https://doi.org/10.1007/BF03036784
- Laborde, C. (2007). Towards theoretical foundations of mathematics education. ZDM Mathematics Education, 39(1), 137-144. https://doi.org/10.1007/s11858-006-0015-y
- Lerman, S. (1990). Alternative perspectives of the nature of mathematics and their influences on mathematics teaching. British Educational Journal Research Journal, 16(1), 53-61. https://doi.org/10.1080/0141192900160105
- Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of mathematics in China and the United States. Mahwah, NJ: Erlbaum.
- Mann, E. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted. 30(2), 236-260. https://doi.org/10.4219/jeg-2006-264
- Marek, V. W. & Mycielski, J. (2001). Foundations of mathematics in the twentieth century. The American Mathematical Monthly, 108(5), 449-468. https://doi.org/10.2307/2695803
- Marton, F. & Booth, S. (1997). Learning and awareness. Hillsdale, NJ: Lawrence Erlbaum.
- Miles, M. B. & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). Thousand Oaks: Sage.
- Ministry of Education & Human Resources Development of Korea [MOE & HRD]. (2011a). Introduction of the science, technology, engineering, arts, and mathematics (STEAM) project. Seoul: Author.
- Ministry of Education & Human Resources Development of Korea [MOE & HRD]. (2011b). 2011 national Korean mathematics curriculum. Seoul: Author.
- Moore, E. H. (1903). On the foundations of mathematics. Bulletin of the American Mathematical Society, 9, 402-424. https://doi.org/10.1090/S0002-9904-1903-01007-6
- National Advisory Committee on Creative and Cultural Education [NACCCE] (1999). All our futures: Creativity, culture and education. London: DfEE.
- Nadjafikhaha, M., Yaftian, N., & Bakhshalizadeh, S. (2011). Mathematical creativity: Some definitions and characteristics. Procedia - Social and Behavioral Sciences, 31, 285-291.
- National Center for Educational Statistics (2011). Trends in international mathematics and science study. Retrieved on August 20, 2011 at http://nces.ed.gov/timss/index.asp.
- National Council of Teachers of Mathematics (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
- National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Author.
- Newton, D. P. & Newton, L. D. (2009). Some student teachers' conceptions of creativity in school science. Research in Science & Technological Education, 27(1), 45-60. https://doi.org/10.1080/02635140802658842
- OECD. (2010). PISA 2009 results: Executive summary. Retrieved on August 22, 2011 at http://www. oecd.org/dataoecd/34/60/46619703.pdf
- OECD. (2011). OECD Programme for international student assessment. Retrieved on August 22, 2011 at http://www.pisa.oecd.org/.
- Patton, M. Q. (1990). Qualitative evaluation and research methods (2nd ed.). Newbury Park, CA.: Sage.
- Polya, G. (1954). Mathematics and plausible reasoning: Induction and analogy in mathematics (Vol. II). Princeton, NJ: Princeton University Press.
- Presser, S., Rothgeb, J. M., Couper, M. P., Lessler, J. T., Martin, E., Martin, J., & Singer, E. (2004). Methods for testing and evaluating survey questionnaires. Hoboken, NJ: Wiley-Interscience.
- Runco, M., & Bahleda, M. D. (1986). Implicit theories of artistic, scientific, and everyday creativity. The Journal of Creativity Behavior, 20(2), 93-97. https://doi.org/10.1002/j.2162-6057.1986.tb00423.x
- Runco, M. A. & Johnson, D. J. (2002) Parents' and teachers' implicit theories of children's creativity: A cross cultural perspective. Creativity Research Journal, 14, 427-438. https://doi.org/10.1207/S15326934CRJ1434_12
- Sawyer, R. K. (2004). Creative teaching: Collaborative discussion as disciplined improvisation. Educational Researcher, 33(2), 12-20. https://doi.org/10.3102/0013189X033002012
- Schraw, G. & Olafson, L. J. (2002). Teachers' epistemological worldviews and educational practices. Issues in Education, 8, 99-148.
- Shapiro, S. (2004). Foundations of mathematics: Metaphysics, epistemology, structure. The Philosophical Quarterly, 54(214), 16-37. https://doi.org/10.1111/j.0031-8094.2004.00340.x
- Shaughnessy, M. F. (1998). An interview with E. Paul Torrance: About creativity. Educational Psychology Review, 10(4), 441-452. https://doi.org/10.1023/A:1022849603713
- Sheffield, L. J. (2005). Using creativity techniques to add depth and complexity to the mathematics curricula. Proceeding at the National Association for Gifted Children Annual Conference, Louisville, KY.
- Schoenfeld, A. H. (2006). Mathematics teaching and learning. In P. Alexander & P. Winne (Eds.), Handbook of educational psychology (2nd ed., pp. 479-510). Mahwah, NJ: Erlbaum.
- Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and Problem Posing. ZDM, 27(3), 75-80.
- Simpson, S. G. (2011). What is foundation of mathematics. Retrieved on August 20, 2011 at http://www.math.psu.edu/simpson/hierarchy.html.
- Small, M. (2009). Good questions: Great ways to differentiate mathematics instruction. New York: Teachers College Press.
- Sriraman, B. (2004). The characteristics of mathematical creativity. The Mathematics Educator, 14(1), 19-34.
- Sriraman, B. (2009). The characteristics of mathematical creativity. ZDM, 41(1 and 2), 13-27. https://doi.org/10.1007/s11858-008-0114-z
- Starko, A. J. (2005). Creativity in the classroom. New Jersey: Lawrence Erlbaum.
- Sternberg, R. J. (1985). Beyond IQ: A triarchic theory of human intelligence. New York: Cambridge University Press.
- Sternberg, R. J. (1988). The triarchic mind: A new theory of intelligence. New York: Viking.
- Sternberg, R. J. (2007). Cultural dimensions of giftedness and talent. Roeper Review, 29, 160-165. https://doi.org/10.1080/02783190709554404
- Strauss, S. (1993) Teachers' pedagogical content knowledge about children's minds and learning: implications for teacher education, Educational Psychologist, 28, 279-290. https://doi.org/10.1207/s15326985ep2803_7
- Teo, L. K. C. & Waugh, R. F. (2010). A Rasch measure of fostering creativity. Creativity Research Journal, 22(2), 206-218. https://doi.org/10.1080/10400419.2010.481534
- Thompson, A. G. (1984). The relationship of teachers' conceptions of mathematics and mathematics teaching to instructional practice. Educational Studies in Mathematics, 15(2), 105-127. https://doi.org/10.1007/BF00305892
- Torrance, E. P. (1967). Scientific views of creativity and factors affecting its growth. In J. Kagan (Ed.), Creativity and learning (pp.73-91). Boston: Houghton Mifflin.
- Treffinger, D. J., Young, G. C., Selby, E. C., & Shepardson, C. A. (2002). Assessing creativity: A guide for educators. Storrs, CT: The National Research Center on the Gifted and Talented, University of Connecticut.
- Yamamoto, K. & Chimbidis, M. E. (1966). Achievement, intelligence, and creative thinking in fifth grade children: A correlational study. Merrill-Palmer Quarterly, 12, 233-241.
- Wang, A. Y. (2011). Contexts of creative thinking: A Comparison on creative performance of student teachers in Taiwan and the United States. Journal of International and Cross-Cultural Studies, 2(1), 1-14.
- White, R. T. & Gunstone, R. (1992). Probing understanding. New York: Falmer.
- Whitehead, A. N. & Russell, B. (1910). Principia mathematica. Cambridge: Cambridge University Press.
- Wong, N. T. (2007). Hong Kong teachers' views of effective mathematics teaching and learning. ZDM Mathematics Education, 39, 301-314. https://doi.org/10.1007/s11858-007-0033-4
피인용 문헌
- Exploring the content factors to develop mathematics teachers' professionalism for creativity and character education vol.55, pp.4, 2016, https://doi.org/10.7468/mathedu.2016.55.4.485
- ENHANCING CREATIVITY AND PROBLEM SOLVING SKILLS THROUGH CREATIVE PROBLEM SOLVING IN TEACHING MATHEMATICS vol.13, pp.2, 2013, https://doi.org/10.3846/cs.2020.11027