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http://dx.doi.org/10.7468/mathedu.2013.52.3.399

Korean Primary School Teachers' Conceptions of Foundations and Creativity in Mathematics  

Park, Mangoo (Seoul National University of Education)
Publication Information
The Mathematical Education / v.52, no.3, 2013 , pp. 399-422 More about this Journal
Keywords
Elementary School Teachers; Conceptions of Foundations in Mathematics; Conceptions of Creativity in Mathematics;
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1 Ministry of Education & Human Resources Development of Korea [MOE & HRD]. (2011b). 2011 national Korean mathematics curriculum. Seoul: Author.
2 Moore, E. H. (1903). On the foundations of mathematics. Bulletin of the American Mathematical Society, 9, 402-424.   DOI
3 National Advisory Committee on Creative and Cultural Education [NACCCE] (1999). All our futures: Creativity, culture and education. London: DfEE.
4 Nadjafikhaha, M., Yaftian, N., & Bakhshalizadeh, S. (2011). Mathematical creativity: Some definitions and characteristics. Procedia - Social and Behavioral Sciences, 31, 285-291.
5 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.
6 National Council of Teachers of Mathematics (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
7 National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Author.
8 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.   DOI   ScienceOn
9 OECD. (2010). PISA 2009 results: Executive summary. Retrieved on August 22, 2011 at http://www. oecd.org/dataoecd/34/60/46619703.pdf
10 Marton, F. & Booth, S. (1997). Learning and awareness. Hillsdale, NJ: Lawrence Erlbaum.
11 Miles, M. B. & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). Thousand Oaks: Sage.
12 Ministry of Education & Human Resources Development of Korea [MOE & HRD]. (2011a). Introduction of the science, technology, engineering, arts, and mathematics (STEAM) project. Seoul: Author.
13 Aiken, L. R. (1973). Ability and creativity in mathematics. Review of Educational Research, 43(4), 405-432.   DOI   ScienceOn
14 Aljughaiman, A. & Mowrer-Reynolds, E. (2005). Teachers' conceptions of creativity and creative students. Journal of Creative Behavior, 39(1), 17-34.   DOI   ScienceOn
15 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.   DOI   ScienceOn
16 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.   DOI
17 Ball, D. L. (1990). The mathematical understandings that prospective teachers bring to teacher education. Elementary School Journal, 90, 449-466.   DOI   ScienceOn
18 Beghetto, R. A. (2007). Ideational code-switching: Walking the talk about supporting student creativity in the classroom. Roeper Review, 29, 265-270.   DOI
19 Haylock, D. W. (1987). A framework for assessing mathematical creativity in school children. Educational Studies in Mathematics, 18, 59-74.   DOI   ScienceOn
20 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.
21 Hodges, G. C. (2005). Creativity in education. English in Education, 39, 47-61.   DOI
22 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.   DOI   ScienceOn
23 Kamii, C. (1979). Piaget's theory, behaviorism, and other theories in education. Journal of Education, 161, 13-33.
24 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.   DOI
25 Hudson, L. (1967). Contrary imaginations. London: Methuen.
26 Kampylis, P., Berki, E., & Saariluomaa, P. (2009). In-service and prospective teachers' conceptions of creativity. Thinking Skills and Creativity, 4, 15-29.   DOI   ScienceOn
27 Kaufman, J. C. & Sternberg, R. J. (2007). Creativity. Change, 39(4), 55-60.   DOI   ScienceOn
28 Kennedy, M. (2005). Inside teaching: How classroom life undermines reform. Cambridge: Harvard University Press.
29 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.
30 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.
31 Yamamoto, K. & Chimbidis, M. E. (1966). Achievement, intelligence, and creative thinking in fifth grade children: A correlational study. Merrill-Palmer Quarterly, 12, 233-241.
32 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.
33 White, R. T. & Gunstone, R. (1992). Probing understanding. New York: Falmer.
34 Whitehead, A. N. & Russell, B. (1910). Principia mathematica. Cambridge: Cambridge University Press.
35 Wong, N. T. (2007). Hong Kong teachers' views of effective mathematics teaching and learning. ZDM Mathematics Education, 39, 301-314.   DOI
36 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).
37 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.
38 OECD. (2011). OECD Programme for international student assessment. Retrieved on August 22, 2011 at http://www.pisa.oecd.org/.
39 Patton, M. Q. (1990). Qualitative evaluation and research methods (2nd ed.). Newbury Park, CA.: Sage.
40 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.   DOI   ScienceOn
41 Laborde, C. (2007). Towards theoretical foundations of mathematics education. ZDM Mathematics Education, 39(1), 137-144.   DOI
42 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.   DOI   ScienceOn
43 Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of mathematics in China and the United States. Mahwah, NJ: Erlbaum.
44 Mann, E. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted. 30(2), 236-260.   DOI
45 Marek, V. W. & Mycielski, J. (2001). Foundations of mathematics in the twentieth century. The American Mathematical Monthly, 108(5), 449-468.   DOI   ScienceOn
46 Brunkalla, K. (2009). How to increase mathematical creativity: An Experiment. The Montana Mathematics Enthusiast, 6(1&2), 257-266.
47 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.
48 Bohm, D. (1998). On creativity. London: Routledge.
49 Bolden, D. S., Harries, T. V., & Newton, D. P. (2010). Pre-service primary teachers' conceptions of creativity. Educational Studies in Mathematics, 73, 143-157.   DOI   ScienceOn
50 Craft, A. (2003). The limitation to creativity in education: Dilemmas for the educator. British Journal of Educational Studies, 51(2), 113-127.   DOI   ScienceOn
51 Burnard, P. & Lavicza, Z. (2010). Teachers' conceptions and practices of assessing creativity. Paper presented at the BERA 2010 Conference. Warwick, UK.
52 Chaitin, G. J. (2000). A century of controversy over the foundations of mathematics. Complexity, 5(5), 12-21.   DOI
53 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.
54 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.   DOI   ScienceOn
55 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.   DOI   ScienceOn
56 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.
57 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.
58 Runco, M., & Bahleda, M. D. (1986). Implicit theories of artistic, scientific, and everyday creativity. The Journal of Creativity Behavior, 20(2), 93-97.   DOI
59 Sawyer, R. K. (2004). Creative teaching: Collaborative discussion as disciplined improvisation. Educational Researcher, 33(2), 12-20.   DOI
60 Schraw, G. & Olafson, L. J. (2002). Teachers' epistemological worldviews and educational practices. Issues in Education, 8, 99-148.
61 Shaughnessy, M. F. (1998). An interview with E. Paul Torrance: About creativity. Educational Psychology Review, 10(4), 441-452.   DOI   ScienceOn
62 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.
63 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.
64 Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching, 15, 13-33.   DOI
65 Cropley, A. J. (2001). Creativity in education and learning: A guide for teachers. London: Kogan Page.
66 Csikszentmihalyi, M (1996). Creativity: Flow and the psychology of discovery and invention. New York: Harper Collins.
67 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.
68 Ernest, P. (1991). The philosophy of mathematics education: Studies in mathematics education. London: Falmer.
69 Fryer, M. & Collings, J. A. (1991). Teachers' views about creativity. British Journal of Educational Psychology, 61, 207-219.   DOI
70 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.
71 Fleith, D. (2000). Teacher and student perceptions of creativity in the classroom environment. Roeper Review, 22(3), 148-153.   DOI
72 Frank, M. L. (1990). What myths about mathematics are held and conveyed by teacher? Arithmetic Teacher, 38(5), 10-12.
73 Gonzales, P. (2009). Highlights from TIMSS 2007. National Center for Education Statistics. USA.
74 Hadamard, J. (1945). Essay on the psychology of invention in the mathematical field. Princeton, NJ: Princeton University Press.
75 Sternberg, R. J. (1988). The triarchic mind: A new theory of intelligence. New York: Viking.
76 Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and Problem Posing. ZDM, 27(3), 75-80.
77 Simpson, S. G. (2011). What is foundation of mathematics. Retrieved on August 20, 2011 at http://www.math.psu.edu/simpson/hierarchy.html.
78 Sriraman, B. (2004). The characteristics of mathematical creativity. The Mathematics Educator, 14(1), 19-34.
79 Sriraman, B. (2009). The characteristics of mathematical creativity. ZDM, 41(1 and 2), 13-27.   DOI   ScienceOn
80 Starko, A. J. (2005). Creativity in the classroom. New Jersey: Lawrence Erlbaum.
81 Sternberg, R. J. (1985). Beyond IQ: A triarchic theory of human intelligence. New York: Cambridge University Press.
82 Sternberg, R. J. (2007). Cultural dimensions of giftedness and talent. Roeper Review, 29, 160-165.   DOI
83 Strauss, S. (1993) Teachers' pedagogical content knowledge about children's minds and learning: implications for teacher education, Educational Psychologist, 28, 279-290.   DOI   ScienceOn
84 Teo, L. K. C. & Waugh, R. F. (2010). A Rasch measure of fostering creativity. Creativity Research Journal, 22(2), 206-218.   DOI   ScienceOn
85 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.   DOI   ScienceOn
86 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.   DOI   ScienceOn
87 Small, M. (2009). Good questions: Great ways to differentiate mathematics instruction. New York: Teachers College Press.
88 Diakidoy, I. & Kanari, E. (1999). Student teachers' beliefs about creativity. British Educational Research Journal, 25(2), 225-243.   DOI   ScienceOn
89 Shapiro, S. (2004). Foundations of mathematics: Metaphysics, epistemology, structure. The Philosophical Quarterly, 54(214), 16-37.   DOI   ScienceOn
90 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.
91 Polya, G. (1954). Mathematics and plausible reasoning: Induction and analogy in mathematics (Vol. II). Princeton, NJ: Princeton University Press.