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Math Creative Problem Solving Ability Test for Identification of the Mathematically Gifted Middle School Students  

Cho, Seok-Hee (St. John's University)
Hwang, Dong-Jou (Ajou University Graduate School of Education)
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Journal of Gifted/Talented Education / v.17, no.1, 2007 , pp. 1-26 More about this Journal
The purpose of this study was to develop a math test for identification of the mathematically gifted on the basis of their math creative problem solving ability and to evaluate the goodness of the test. Especially, testing reliability and validity of scoring method on the basis of fluency only for evaluation of math creative problem solving ability was one of the main purposes. Ten closed math problems and 5 open math problems were developed requiring math thinking abilities such as intuitive insight, organization of information, inductive and deductive reasoning, generalization and application, and reflective thinking. The 10 closed math test items of Type I and the 5 open math test items of Type II were administered to 1,032 Grade 7 students who were recommended by their teachers as candidates for gifted education programs. Students' responses were scored by math teachers. Their responses were analyzed by BIGSTEPS and 1 parameter model of item analyses technique. The item analyses revealed that the problems were good in reliability, validity, item difficulty and item discriminating power even when creativity was scored based on the single criteria of fluency. This also confirmed that the open problems which are less-defined, less-structured and non-entrenched were good in measuring math creative problem solving ability of the candidates for math gifted education programs. In addition, it was found that the math creative problem solving tests discriminated applicants for the two different gifted educational institutions.
Math creative problem solving ability; Gifted; Test; Identification; Validity; Reliability; Item response analyses Rasch Model;
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1 김홍원, 김명숙, 방승진, 황동주 (1997). 수학 영재 판별 도구 개발 연구(II) - 검사 제작 편- . 한국교육개발원 연구보고 CR97-50. 서울: 한국교육개발원
2 송상헌 (1998). 수학 영재성 측정과 판별에 관한 연구. 박사학위논문. 서울대학교
3 조석희 (2003). 창의적 문제해결력. 박성익 외(편저). 영재교육학원론 (pp. 249-269). 서울: 과학교육사
4 황동주 (2005). 수학 영재 판별의 타당도 향상을 위한 수학 창의성 및 문제 해결 력 검사 개발과 채점 방법에 관한 연구. 박사학위논문. 단국대학교
5 Amabile, T. M. (1983). The social psychology of creativity. New York: Springer-Verlag
6 Balka, D. S. (1974). Creativity ability in mathematics. Arithmetic Teacher, 21(7). 633-636
7 Bauer, G. R. (1971). A study of the effects of a creative classroom, creative problems, and mathematics educators on the creative ability in mathematics of prospective elementary teachers. Unpublished doctorial dissertation. Indiana University
8 Guilford, J. P. (1967). The nature of human intelligence. NYC: McGraw-Hill
9 Kim, Y. (1998). The Torrance tests of creative thinking: Norms-technical Manual of the Korean version. ChungAng Aptitude Press
10 Roe, A. (1953). The making of a scientists. NYC: Dodd, Mead. Quoted in R. W. Woodman & L. F. Schoenfeldt. An interactionist model of creative behavior. The Journal of Creative Behavior, 24(4). 279-290. 1990
11 Sternberg, R. J. & Lubart, T. I. (1999). The concept of creativity: Prospects and paradigms. In R. J. Sternberg(Ed.). Handbook of creativity. New York: Cambridge University Press
12 Urban K. K. (1995). Creativity: a componential approach. paper presented at the post conference china meeting of the 11th world conference on gifted and talented children. Beijing, China, August 5-8
13 Wallas, G.(1926). The Art of thought. New York: Harcourt, Brace
14 Pehkonen, E. (1995a). Use of open-ended problems in mathematics classroom. Research Report 176. Helsinki University, Finland. Dept. of Teacher Education
15 이강섭, 황동주 (2003). 일반창의성(도형)과 수학창의성과의 관련 연구: TTCT; Figural A와 MCPSAT; A를 바탕으로. 수학교육. 41(1). 1-9
16 Dailey, L. & Mumford, M. D. (2006). Evaluative Aspects of Creative Thought: Errors in Appraising the Implications of New Ideas. Creativity Research Journal, 18(3), 385-398
17 Maxwell, A. A. (1974). An exploratory study of secondary school geometry students:problem solving related to convergent-divergent productivity. Unpublished doctoral dissertation. University of Tennessee
18 Polya, G. (1957). How to solve it, Second Edition. NJ: Princeton University Press
19 Wallach, M. A. (1985). Creativity testing and giftedness. In F. D. Horowitz, & M, O'Brian(Eds.), The gifted and talented: Developmental perspectives. Washington, D. C.: APA
20 Mednick, S. A. (1962). The associative basis of the creative process. Psychological Review, 69(3). 220-232   DOI
21 Kim, H., Cho, S., & Ahn, D. (2003). Development of mathematical creative problem solving ability test for identification of the gifted in math. Gifted Education International, 18(2), 164-175
22 Zosa, E. D. (1978). The construction of a test to measure creative ability in mathematics. Unpublished doctoral dissertation. Columbia University Teacher's College
23 Foster, J. (1970). An exploratory attempt to assess creative ability in mathematics. Primary Mathematics, 8, 2-7
24 Renzulli, J. S. (1978). What makes giftedness? Reexamining a definition. Phi Delta Kappan, 60(3). 180-184
25 김홍원, 김명숙, 송상헌 (1996). 수학 영재 판별 도구 개발 연구(I) - 기초 연구 편 -.한국교육개발원 연구보고 CR96-26. 서울: 한국교육개발원
26 Amabile, T. M. (1996). Creativity in context. Colorado: Westview Press, Inc
27 Pehkonen, E. (1995b). On pupils' reactions to the use of open-ended problems in mathematics. Nordic Studies in Mathematics Education, 3(4). 43-57
28 Haylock, D. W. (1987). A framework for assessing mathematical creativity in schoolchildren. Educational Studies in Mathematics, 18(1), 59-74   DOI
29 Krutetskii, V. A. (1976). The psychology of mathematical abilities in school children. The University of Chicago Press
30 Livacre, J. M. & Wright, B. D. (2003). A user's guide to BIGSTEPS Rasch-model computer programs.
31 Evans, E. W. (1964). Measuring the ability of students to respond to creative mathematical situations at the late elementary and early junior high school level. Unpublished doctorial dissertation. University of Michigan
32 Isaaksen, S. G., Dorvel, K. B., & Treffinger, D. (1994). Creative approaches to problem solving. Iowa: Kendall/Hunt Publishing Company
33 Mainville, W. E. Jr. (1972). A study of the effects of mathematics activity materials upon certain aspects of creative thinking ability of prospective elementary school teacher. Unpublished doctorial dissertation. University of Marine
34 Haylock, D. W. (1984). Aspect of mathematical creativity in children aged 11-12. Unpublished doctoral dissertation, London University, London, Great Britain
35 Haylock, D. W. (1985). Conflicts in the assessment and encouragement of mathematical creativity in school children. International. Journal of Mathematics Education, Science, and Technology, 16(4), 547-533   DOI
36 Renzulli, J. S., & Reis, S. M. (1985). The Schoolwide Enrichment Model: A Comprehensive Plan for Educational Excellence. CT: Creative Learning Press, Inc
37 Mackinnon, D. W. (1970). Creativity, a multi-faceted phenomenon. In J. D. Roslansky (Ed.), Creativity: a discussion at the novel conference. North Holland, Amsterdam, pp.29. Quoted in R. J. Sternberg & T. I. Lubart. Defying the crowd. New York:The Free Press. 1995